pinecone/core-2020-05-10-deduplication huggingface dataset:
The Imaginary Starobinsky Model

The recent detection by the BICEP2 collaboration of a high level of tensor
modes seems to exclude the Starobinsky model of inflation. In this paper we
show that this conclusion can be avoided: one can embed the Starobinsky model
in supergravity and identify the inflaton field with the imaginary (instead of
the real) part of the chiral scalaron multiplet in its formulation. Once
coupled to matter, the Starobinsky model may then become the chaotic quadratic
model with shift symmetry during inflation and is in good agreement with the
current data.Comment: 14 pages, 1 figur
Sketches of emergent geometry in the gauge/gravity duality

In this paper three notions of emergent geometry arising from the study of
gauge/gravity duals are discussed. The unifying theme behind these notions of
emergent geometry is that one can derive properties of the effective action of
a probe or excitation around some configuration in gauge theory which can be
argued to be localized at a particular position in the gravity dual, and match
this description to various degrees of accuracy in the gravity dual. The three
examples discussed are giant gravitons in $AdS_5\times S^5$, open strings
stretching between these giants and the probe dynamics of a D0 brane in the
presence of a thermal matrix configuration of the BFSS matrix model.Comment: 16 pages, contribution to the Corfu 2013 Proceeding
Phenomenological studies in the matrix models

Matrix models are a promising candidate for a nonperturbative formulation of
the superstring theory. It is possible to study how the standard model and
other phenomenological models appear from the matrix model, and estimate the
probability distribution of their appearance. This article mainly addresses
studies in toroidal compactifications with magnetic fluxes.Comment: 5 pages; contribution to the proceedings of the Workshop on
  Noncommutative Field Theory and Gravity, Corfu, Greece, September 8-15, 2013;
  to appear in Fortsch. Phy
Nonassociative Field Theory on Non-Geometric Spaces

We describe quasi-Hopf twist deformations of flat closed string
compactifications with non-geometric R-flux using a suitable cochain twist, and
construct nonassociative deformations of fields and differential calculus. We
report on our new findings in using this formalism to construct perturbative
nonassociative field theories on these backgrounds. We describe the
modifications to the usual classification of Feynman diagrams into planar and
non-planar graphs. The example of phi(4) theory is studied in detail and the
one-loop contributions to the two-point function are calculated.Comment: 6 pages; Contribution to the proceedings of the Workshop on
  Noncommutative Field Theory and Gravity, Corfu, Greece, September 8-15, 201
Non-commutative quantum geometric data in group field theories

We review briefly the motivations for introducing additional group-theoretic
data in tensor models, leading to the richer framework of group field theories,
themselves a field theory formulation of loop quantum gravity. We discuss how
these data give to the GFT amplitudes the structure of lattice gauge theories
and simplicial gravity path integrals, and make their quantum geometry
manifest. We focus in particular on the non-commutative flux/algebra
representation of these models.Comment: 10 pages; to appear in the proceedings of the workshop
  "Non-commutative field theory and gravity", Corfu', Greece, EU, September
  201
Recent developments in the type IIB matrix model

We review recent developments in the type IIB matrix model, which was
conjectured to be a nonperturbative formulation of superstring theory. In the
first part we review the recent results for the Euclidean model, which suggest
that SO(10) symmetry is spontaneously broken. In the second part we review the
recent results for the Lorentzian model. In particular, we discuss Monte Carlo
results, which suggest that (3+1)-dimensional expanding universe emerges
dynamically. We also discuss some results suggesting the emergence of
exponential expansion and the power-law expansion at later times. The behaviors
at much later times are studied by the classical equation of motion. We discuss
a solution representing 3d expanding space, which suggests a possible solution
to the cosmological constant problem.Comment: 10 pages, 5 figures, talk given at the Workshop on Noncommutative
  Field Theory and Gravity, Corfu Summer Institute, Corfu, Greece, 8-15
  September 2013, to appear in Fortsch. Phy
Geometry And Quantum Noise

We study the fine structure of long-time quantum noise in correlation
functions of AdS/CFT systems. Under standard assumptions of quantum chaos for
the dynamics and the observables, we estimate the size of exponentially small
oscillations and trace them back to geometrical features of the bulk system.
The noise level is highly suppressed by the amount of dynamical chaos and the
amount of quantum impurity in the states. This implies that, despite their
missing on the details of Poincare recurrences, `virtual' thermal AdS phases do
control the overall noise amplitude even at high temperatures where the thermal
ensemble is dominated by large AdS black holes. We also study EPR correlations
and find that, in contrast to the behavior of large correlation peaks, their
noise level is the same in TFD states and in more general highly entangled
states.Comment: 30 pages. 4 figure
D7-Brane Moduli Space in Axion Monodromy and Fluxbrane Inflation

We analyze the quantum-corrected moduli space of D7-brane position moduli
with special emphasis on inflationary model building. D7-brane deformation
moduli are key players in two recently proposed inflationary scenarios: The
first, D7-brane chaotic inflation, is a variant of axion monodromy inflation
which allows for an effective 4d supergravity description. The second,
fluxbrane inflation, is a stringy version of D-term hybrid inflation. Both
proposals rely on the fact that D7-brane coordinates enjoy a shift-symmetric
Kahler potential at large complex structure of the Calabi-Yau threefold, making
them naturally lighter than other fields. This shift symmetry is inherited from
the mirror-dual Type IIA Wilson line on a D6-brane at large volume. The
inflaton mass can be provided by a tree-level term in the flux superpotential.
It induces a monodromy and, if tuned to a sufficiently small value, can give
rise to a large-field model of inflation. Alternatively, by a sensible flux
choice one can completely avoid a tree-level mass term, in which case the
inflaton potential is induced via loop corrections. The positive vacuum energy
can then be provided by a D-term, leading to a small-field model of hybrid
natural inflation. In the present paper, we continue to develop a detailed
understanding of the D7-brane moduli space focusing among others on
shift-symmetry-preserving flux choices, flux-induced superpotential in Type
IIB/F-theory language, and loop corrections. While the inflationary
applications represent our main physics motivation, we expect that some of our
findings will be useful for other phenomenological issues involving 7-branes in
Type IIB/F-theory constructions.Comment: 61 pages, 10 figures; v3: references added; v2: references added,
  error in cosmic string bound correcte
Does Yang-Mills theory describe quantum gravity?

The strongest version of the gauge/gravity duality conjecture relates the 1/N
correction in super Yang-Mills theory and the quantum correction in superstring
theory. We perform a quantitative test of this conjecture at finite
temperature, by studying the D0-brane matrix quantum mechanics and the black
zero-brane in type IIA superstring theory. We find good agreement, which
strongly suggests that the super Yang-Mills theory does provide us with a
nonperturbative formulation of quantum gravity through the gauge/gravity
duality.Comment: Numerical data suggests the answer is yes. Talk at Workshop on
  Noncommutative Field Theory and Gravity, 13th Hellenic School and Workshops
  on Elementary Particle Physics and Gravity, at the Corfu Summer Institute,
  Greece, on Sept 10, 2013. A short and easy introduction for hep-lat/hep-ph
  people and student
Complex geometry of quantum cones

The algebras obtained as fixed points of the action of the cyclic group $Z_N$
on the coordinate algebra of the quantum disc are studied. These can be
understood as coordinate algebras of quantum or non-commutative cones. The
following observations are made. First, contrary to the classical situation,
the actions of $Z_N$ are free and the resulting algebras are homologically
smooth. Second, the quantum cone algebras admit differential calculi that have
all the characteristics of calculi on smooth complex curves. Third, the
corresponding volume forms are exact, indicating that the constructed algebras
describe manifolds with boundaries.Comment: 6 pages; submitted to the proceedings of Corfu Summer Institute 201
The Tensor Theory Space

The tensor track is a background-independent discretization of quantum
gravity which includes a sum over all topologies. We discuss how to define a
functional renormalization group flow and the Wetterich equation in the
corresponding theory space. This space is different from the Einsteinian theory
space of asymptotic safety. It includes all fixed-rank tensor-invariant
interactions, hence generalizes matrix models and the (Moyal) non-commutative
field theory space.Comment: This short note is intended as a complement to arXiv:1311.1461, to
  appear in the Proceedings of the Workshop on Noncommutative Field Theory and
  Gravity in Corfu September 2013, Fortshritt. Phys. 201
Dynamical String Tension in String Theory with Spacetime Weyl Invariance

The fundamental string length, which is an essential part of string theory,
explicitly breaks scale invariance. However, in field theory we demonstrated
recently that the gravitational constant, which is directly related to the
string length, can be promoted to a dynamical field if the standard model
coupled to gravity (SM+GR) is lifted to a locally scale (Weyl) invariant
theory. The higher gauge symmetry reveals previously unknown field patches
whose inclusion turn the classically conformally invariant SM+GR into a
geodesically complete theory with new cosmological and possibly further
physical consequences. In this paper this concept is extended to string theory
by showing how it can be Weyl lifted with a local scale symmetry acting on
target space background fields. In this process the string tension (fundamental
string length) is promoted to a dynamical field, in agreement with the parallel
developments in field theory. We then propose a string theory in a geodesically
complete cosmological stringy background which suggests previously unimagined
directions in the stringy exploration of the very early universe.Comment: 31 pages, 2 figures, minor typo corrections in version
Rigour and Rigidity: Systematics on particle physics D6-brane models on
  Z(2)xZ(6)

We launch a systematic search for phenomenologically appealing string vacua
with intersecting D-branes on the promising T6/Z(2)xZ(6)xOR orientifold with
discrete torsion. The number of independent background lattices is reduced from
six to two by new symmetries. The occurrence of USp(2N) and SO(2N) versus U(N)
gauge groups is classified as well as D-branes without matter in the adjoint
and/or symmetric representation. Supersymmetric fractional D6-branes allowing
for RR tadpole cancellation are fully classified in terms of all possible
values of the one complex structure modulus inherited from the underlying
six-torus. We then systematically investigate the conditions for three particle
generations at pairwise intersections of two D6-branes. Global SU(5) GUT models
on T6/Z(2)xZ(6)xOR are excluded by demanding three generations and no exotic
matter in the 15 representation. Two prototypes of global Pati-Salam models
with a mild amount of vector-like exotic matter are found.Comment: v2: references added; v1: 1+80 page
Dimensional reduction to hypersurface of foliation

When the bulk spacetime has a foliation structure, the collective dynamics of
the hypersurfaces should reveal certain aspects of the bulk physics. The
procedure of reducing the bulk to a hypersurface, called ADM reduction, was
implemented in \cite{Park:2013iqa} where the 4D Einstein-Hilbert action was
reduced along the radial reduction. In this work, reduction along the angular
directions is considered {with a main goal to firmly establish the method of
dimensional reduction to a hypersurface of foliation.} We obtain a theory on a
2D plane (the $(t,r)$-plane) and observe that novel and elaborate boundary
effects are crucial for the consistency of the reduction. The reduction leads
to a 2D interacting quantum field theory. We comment on its application to
black hole information physics.Comment: 16 pages, 3 figures, appendix added, version to appear in
  Fortsch.Phy
T-duality and non-geometric solutions from double geometry

Although the introduction of generalised and extended geometry has been
motivated mainly by the appearance of dualities upon reductions on tori, it has
until now been unclear how (all) the duality transformations arise from first
principles in extended geometry. A proposal for solving this problem is given
in the framework of double field theory. It is based on a clearly defined
extension of the definition of gauge symmetry by isometries of an underlying
pseudo-Riemannian manifold. The ensuing relation between transformations of
coordinates and fields, which is now derived from first principles, differs
from earlier proposals.Comment: 13 pp., plain te
The Imaginary Starobinsky Model and Higher Curvature Corrections

We elaborate on the predictions of the imaginary Starobinsky model of
inflation coupled to matter, where the inflaton is identified with the
imaginary part of the inflaton multiplet suggested by the Supergravity
embedding of a pure R + R^2 gravity. In particular, we study the impact of
higher-order curvature terms and show that, depending on the parameter range,
one may find either a quadratic model of chaotic inflation or monomial models
of chaotic inflation with fractional powers between 1 and 2.Comment: 18 page
Towards the Standard Model in F-theory

This article explores possible embeddings of the Standard Model gauge group
and its matter representations into F-theory. To this end we construct elliptic
fibrations with gauge group SU(3)xSU(2)xU(1)xU(1) as suitable restrictions of a
${\rm Bl}_2{\mathbb P}^2$-fibration with rank-two Mordell-Weil group. We
analyse the five inequivalent toric enhancements to gauge group SU(3)xSU(2)
along two independent divisors W_3 and W_2 in the base. For each of the
resulting smooth fibrations, the representation spectrum generically consists
of a bifundamental (3,2), three types of (1,2) representations and five types
of (3,1) representations (plus conjugates), in addition to charged singlet
states. The precise spectrum of zero-modes in these representations depends on
the 3-form background. We analyse the geometrically realised Yukawa couplings
among all these states and find complete agreement with field theoretic
expectations based on their U(1) charges. We classify possible identifications
of the found representations with the Standard Model field content extended by
right-handed neutrinos and extra singlets. The linear combination of the two
abelian gauge group factors orthogonal to hypercharge acts as a selection rule
which, depending on the specific model, can forbid dangerous dimension-four and
-five proton decay operators.Comment: v2,3: typos corrected, references added, minor corrections, Appendix
  A on symmetries of tops include
Off-shell Amplitudes in Superstring Theory

Computing the renormalized masses and S-matrix elements in string theory,
involving states whose masses are not protected from quantum corrections,
requires defining off-shell amplitude with certain factorization properties.
While in the bosonic string theory one can in principle construct such an
amplitude from string field theory, there is no fully consistent field theory
for type II and heterotic string theory. In this paper we give a practical
construction of off-shell amplitudes satisfying the desired factorization
property using the formalism of picture changing operators. We describe a
systematic procedure for dealing with the spurious singularities of the
integration measure that we encounter in superstring perturbation theory. This
procedure is also useful for computing on-shell amplitudes, as we demonstrate
by computing the effect of Fayet-Iliopoulos D-terms in four dimensional
heterotic string theory compactifications using this formalism.Comment: LaTeX file, 79 pages, 14 figures; v2 references and clarifications
  added, normalisation fixed to facilitate construction of 1PI string field
  theory, notations simplified; v3: minor changes; v4: minor additions and
  typos correcte
Non-perturbative studies of N=2 conformal quiver gauge theories

We study N=2 super-conformal field theories in four dimensions that
correspond to mass-deformed linear quivers with n gauge groups and
(bi-)fundamental matter. We describe them using Seiberg-Witten curves obtained
from an M-theory construction and via the AGT correspondence. We take
particular care in obtaining the detailed relation between the parameters
appearing in these descriptions and the physical quantities of the quiver gauge
theories. This precise map allows us to efficiently reconstruct the
non-perturbative prepotential that encodes the effective IR properties of these
theories. We give explicit expressions in the cases n=1,2, also in the presence
of an Omega-background in the Nekrasov-Shatashvili limit. All our results are
successfully checked against those of the direct microscopic evaluation of the
prepotential a la Nekrasov using localization methods.Comment: 56 pages, 7 figures, PdfLaTeX. v2: a few references added, version to
  appear on Fortschritte der Physi
2-branes with Arnold-Beltrami Fluxes from Minimal D=7 Supergravity

We describe this paper as a Sentimental Journey from Hydrodynamics to
Supergravity. Beltrami equation in three dimensions that plays a key role in
the hydrodynamics of incompressible fluids has an unsuspected relation with
minimal supergravity in seven dimensions. We show that just D=7 supergravity
and no other theory with the same field content but different coefficients in
the lagrangian, admits exact two-brane solutions where Arnold-Beltrami fluxes
in the transverse directions have been switched on. The rich variety of
discrete groups that classify the solutions of Beltrami equation, namely the
eigenfunctions of the *d operator on a three-torus, are by this newly
discovered token injected into the brane world. A new quite extensive playing
ground opens up for supergravity and for its dual gauge theories in three
dimensions, where all classical fields and all quantum composite operators will
be assigned to irreducible representations of discrete crystallographic groups.Comment: 53 pages, LaTeX, 8 figures. arXiv admin note: substantial text
  overlap with arXiv:1501.0460
Higher-Dimensional Unification with continuous and fuzzy coset spaces as
  extra dimensions

We first review the Coset Space Dimensional Reduction (CSDR) programme and
present the best model constructed so far based on the $\mathcal{N} = 1$,
$10$-dimensional $E_8$ gauge theory reduced over the nearly-K\"ahler manifold
$SU(3)/U(1)\times U(1)$ with the additional use of the Wilson flux mechanism.
Then we present the corresponding programme in the case that the extra
dimensions are considered to be fuzzy coset spaces and the best model that has
been constructed in this framework too. In both cases the best model appears to
be the trinification GUT $SU(3)^3$
Atomic Classification of 6D SCFTs

We use F-theory to classify possibly all six-dimensional superconformal field
theories (SCFTs). This involves a two step process: We first classify all
possible tensor branches allowed in F-theory (which correspond to allowed
collections of contractible spheres) and then classify all possible
configurations of seven-branes wrapped over them. We describe the first step in
terms of "atoms" joined into "radicals" and "molecules," using an analogy from
chemistry. The second step has an interpretation via quiver-type gauge theories
constrained by anomaly cancellation. A very surprising outcome of our analysis
is that all of these tensor branches have the structure of a linear chain of
intersecting spheres with a small amount of possible decoration at the two
ends. The resulting structure of these SCFTs takes the form of a generalized
quiver consisting of ADE-type nodes joined by conformal matter. A collection of
highly non-trivial examples involving E8 small instantons probing an ADE
singularity is shown to have an F-theory realization. This yields a
classification of homomorphisms from ADE subgroups of SU(2) into E8 in purely
geometric terms, largely matching results obtained in the mathematics
literature from an intricate group theory analysis.Comment: v3: 123 pages, 23 figures, typos corrected. Included with the
  submission are the Mathematica notebooks "Bases.nb" and
  "Fiber_Enhancements.nb
High Energy Physics Signatures from Inflation and Conformal Symmetry of
  de Sitter

During inflation, the geometry of spacetime is described by a (quasi-)de
Sitter phase. Inflationary observables are determined by the underlying (softly
broken) de Sitter isometry group SO(1, 4) which acts like a conformal group on
R^3: when the fluctuations are on super-Hubble scales, the correlators of the
scalar fields are constrained by conformal invariance. Heavy fields with mass m
larger than the Hubble rate H correspond to operators with imaginary dimensions
in the dual Euclidean three-dimensional conformal field theory. By making use
of the dS/CFT correspondence we show that, besides the Boltzmann suppression
expected from the thermal properties of de Sitter space, the generic effect of
heavy fields in the inflationary correlators of the light fields is to
introduce power-law suppressed corrections of the form O(H^2/m^2). This can be
seen, for instance, at the level of the four-point correlator for which we
provide the correction due to a massive scalar field exchange.Comment: 21 pages, 5 figure
Closed tachyon solitons in type II string theory

Type II theories can be described as the endpoint of closed string tachyon
condensation in certain orbifolds of supercritical type 0 theories. In this
paper, we study solitons of this closed string tachyon and analyze the nature
of the resulting defects in critical type II theories. The solitons are
classified by the real K-theory groups KO of bundles associated to pairs of
supercritical dimensions. For real codimension 4 and 8, corresponding to
$KO({\bf S}^4)={\bf Z}$ and $KO({\bf S}^8)={\bf Z}$, the defects correspond to
a gravitational instanton and a fundamental string, respectively. We apply
these ideas to reinterpret the worldsheet GLSM, regarded as a supercritical
theory on the ambient toric space with closed tachyon condensation onto the CY
hypersurface, and use it to describe charged solitons under discrete
isometries. We also suggest the possible applications of supercritical strings
to the physical interpretation of the matrix factorization description of
F-theory on singular spaces.Comment: 35 pages+appendices v2: Corrected misprints & updated references;
  details added to appendix
T-duality, Quotients and Currents for Non-Geometric Closed Strings

We use the canonical description of T-duality as well as the formulation of
T-duality in terms of chiral currents to investigate the geometric and
non-geometric faces of closed string backgrounds originating from principal
torus bundles with constant H-flux. Employing conformal field theory
techniques, the non-commutative and non-associative structures among
generalized coordinates in the so called Q-flux and R-flux backgrounds emerge
by gauging the Abelian symmetries of an enlarged Rocek-Verlinde sigma-model and
projecting the associated chiral currents of the enlarged theory to the T-dual
coset models carrying non-geometric fluxes.Comment: 56 page