pinecone/core-2020-05-10-deduplication huggingface dataset:
Nonabelian Faddeev-Niemi Decomposition of the SU(3) Yang-Mills Theory

Faddeev and Niemi (FN) have introduced an abelian gauge theory which
simulates dynamical abelianization in Yang-Mills theory (YM). It contains both
YM instantons and Wu-Yang monopoles and appears to be able to describe the
confining phase. Motivated by the meson degeneracy problem in dynamical
abelianization models, in this note we present a generalization of the FN
theory. We first generalize the Cho connection to dynamical symmetry breaking
pattern SU(N+1) -> U(N), and subsequently try to complete the Faddeev-Niemi
decomposition by keeping the missing degrees of freedom. While it is not
possible to write an on-shell complete FN decomposition, in the case of SU(3)
theory of physical interest we find an off-shell complete decomposition for
SU(3) -> U(2) which amounts to partial gauge fixing, generalizing naturally the
result found by Faddeev and Niemi for the abelian scenario SU(N+1) -> U(1)^N.
We discuss general topological aspects of these breakings, demonstrating for
example that the FN knot solitons never exist when the unbroken gauge symmetry
is nonabelian, and recovering the usual no-go theorems for colored dyons.Comment: Latex 30 page
Double Field Theory Formulation of Heterotic Strings

We extend the recently constructed double field theory formulation of the
low-energy theory of the closed bosonic string to the heterotic string. The
action can be written in terms of a generalized metric that is a covariant
tensor under O(D,D+n), where n denotes the number of gauge vectors, and n
additional coordinates are introduced together with a covariant constraint that
locally removes these new coordinates. For the abelian subsector, the action
takes the same structural form as for the bosonic string, but based on the
enlarged generalized metric, thereby featuring a global O(D,D+n) symmetry.
After turning on non-abelian gauge couplings, this global symmetry is broken,
but the action can still be written in a fully O(D,D+n) covariant fashion, in
analogy to similar constructions in gauged supergravities.Comment: 28 pages, v2: minor changes, version published in JHE
Cascade Seesaw for Tiny Neutrino Mass

The accessibility to physics responsible for tiny neutrino mass suggests that
the mass should better originate from certain higher dimensional operators. The
conventional three types of seesaw operate at dimension five with the help of
either a new fermion or scalar multiplet. Here we propose a seesaw that
generates neutrino mass through a dimension-(5+4n) operator. The seesaw is
functioned by a fermion of isospin n+1 and zero hypercharge and a sequence of
scalar multiplets that share unity hypercharge but have isospin from 3/2 to
n+1/2 at a step of unity. Only the scalar of the highest isospin can couple to
the relevant fermions while only the scalar of the lowest isospin can directly
develop a naturally small vacuum expectation value (VEV). The VEV is then
transmitted to scalars of higher isospin through a cascading process. No global
symmetry is required to forbid lower dimensional operators. A neutrino mass of
desired order can thus be induced with a relatively low seesaw scale without
demanding too small couplings.Comment: 10 pages, 2 figures. v2: corrected a trivial mistake in CG
  coefficients in eq(11), but none of other formulae or numbers affected.
  Thanks to G.Z. Ning and Y.B. Wu for drawing this to my attention. v3:
  proofread version for JHEP; modified last two paragraphs to clarify a few
  phenomenological points, added a few ref
Exploring New Physics in the C7-C7' plane

The Wilson coefficient C7 governing the radiative electromagnetic decays of B
meson has been calculated to a very high accuracy in the Standard Model, but
experimental bounds on either the magnitude or the sign of C7 are often
model-dependent. In the present paper, we attempt at constraining both the
magnitude and sign of C7 using a systematic approach. We consider already
measured observables like the branching ratios of B \rightarrow Xs mu+ mu- and
B \rightarrow Xs gamma, the isospin and CP asymmetries in B \rightarrow K*
gamma, as well as AFB and FL in B \rightarrow K*l+l-. We also discuss the
transverse observable AT2 which, once measured, may help to disentangle some of
the scenarios considered. We explore the constraints on C7, C9, C10 as well as
their chirality-flipped counterparts. Within our framework, we find that we
need to extend the constraints up to 1.6 sigma to allow for the "flipped-sign
solution" of C7. The SM solution for C7 exhibits a very mild tension if New
Physics is allowed in dipole operators only. We provide semi-numerical
expressions for all these observables as functions of the relevant Wilson
coefficients at the low scale.Comment: 54 pages, 16 figures, 15 tables. Normalization factor introduced for
  the integrated AFB and FL in Sec.2.5 (Eq.2.35-2.38). Conclusions unchanged.
  Not updated in JHE
The one-loop six-dimensional hexagon integral and its relation to MHV
  amplitudes in N=4 SYM

We provide an analytic formula for the (rescaled) one-loop scalar hexagon
integral $\tilde\Phi_6$ with all external legs massless, in terms of classical
polylogarithms. We show that this integral is closely connected to two
integrals appearing in one- and two-loop amplitudes in planar $\\mathcal{N}=4$
super-Yang-Mills theory, $\Omega^{(1)}$ and $\Omega^{(2)}$. The derivative of
$\Omega^{(2)}$ with respect to one of the conformal invariants yields
$\tilde\Phi_6$, while another first-order differential operator applied to
$\tilde\Phi_6$ yields $\Omega^{(1)}$. We also introduce some kinematic
variables that rationalize the arguments of the polylogarithms, making it easy
to verify the latter differential equation. We also give a further example of a
six-dimensional integral relevant for amplitudes in $\\mathcal{N}=4$
super-Yang-Mills.Comment: 18 pages, 2 figure
Branes and fluxes in special holonomy manifolds and cascading field
  theories

We conduct a study of holographic RG flows whose UV is a theory in 2+1
dimensions decoupled from gravity, and the IR is the N=6,8 superconformal fixed
point of ABJM. The solutions we consider are constructed by warping the
M-theory background whose eight spatial dimensions are manifolds of special
holonomies sp(1) times sp(1) and spin(7). Our main example for the spin(7)
holonomy manifold is the A8 geometry originally constructed by Cvetic, Gibbons,
Lu, and Pope. On the gravity side, our constructions generalize the earlier
construction of RG flow where the UV was N=3 Yang-Mills-Chern-Simons matter
system and are simpler in a number of ways. Through careful consideration of
Page, Maxwell, and brane charges, we identify the discrete and continuous
parameters characterizing each system. We then determine the range of the
discrete data, corresponding to the flux/rank for which the supersymmetry is
unbroken, and estimate the dynamical supersymmetry breaking scale as a function
of these data. We then point out the similarity between the physics of
supersymmetry breaking between our system and the system considered by
Maldacena and Nastase. We also describe the condition for unbroken
supersymmetry on class of construction based on a different class of spin(7)
manifolds known as B8 spaces whose IR is different from that of ABJM and
exhibit some interesting features.Comment: 51 pages, 12 figures. Update in quantization of G4 on B8 in equations
  (5.12) and (5.13
Towards the F-Theorem: N=2 Field Theories on the Three-Sphere

For 3-dimensional field theories with {\cal N}=2 supersymmetry the Euclidean
path integrals on the three-sphere can be calculated using the method of
localization; they reduce to certain matrix integrals that depend on the
R-charges of the matter fields. We solve a number of such large N matrix models
and calculate the free energy F as a function of the trial R-charges consistent
with the marginality of the superpotential. In all our {\cal N}=2
superconformal examples, the local maximization of F yields answers that scale
as N^{3/2} and agree with the dual M-theory backgrounds AdS_4 x Y, where Y are
7-dimensional Sasaki-Einstein spaces. We also find in toric examples that local
F-maximization is equivalent to the minimization of the volume of Y over the
space of Sasakian metrics, a procedure also referred to as Z-minimization.
Moreover, we find that the functions F and Z are related for any trial
R-charges. In the models we study F is positive and decreases along RG flows.
We therefore propose the "F-theorem" that we hope applies to all 3-d field
theories: the finite part of the free energy on the three-sphere decreases
along RG trajectories and is stationary at RG fixed points. We also show that
in an infinite class of Chern-Simons-matter gauge theories where the
Chern-Simons levels do not sum to zero, the free energy grows as N^{5/3} at
large N. This non-trivial scaling matches that of the free energy of the
gravity duals in type IIA string theory with Romans mass.Comment: 66 pages, 10 figures; v2: refs. added, minor improvement
Type II/F-theory Superpotentials with Several Deformations and N=1
  Mirror Symmetry

We present a detailed study of D-brane superpotentials depending on several
open and closed-string deformations. The relative cohomology group associated
with the brane defines a generalized hypergeometric GKZ system which determines
the off-shell superpotential and its analytic properties under deformation.
Explicit expressions for the N=1 superpotential for families of type
II/F-theory compactifications are obtained for a list of multi-parameter
examples. Using the Hodge theoretic approach to open-string mirror symmetry, we
obtain new predictions for integral disc invariants in the A model instanton
expansion. We study the behavior of the brane vacua under extremal transitions
between different Calabi-Yau spaces and observe that the web of Calabi-Yau
vacua remains connected for a particular class of branes.Comment: 62 pages; v2: typos corrected and references adde
The effective action of D6-branes in N=1 type IIA orientifolds

We use a Kaluza-Klein reduction to compute the low-energy effective action
for the massless modes of a spacetime-filling D6-brane wrapped on a special
Lagrangian 3-cycle of a type IIA Calabi-Yau orientifold. The modifications to
the characteristic data of the N=1 bulk orientifold theory in the presence of a
D6-brane are analysed by studying the underlying Type IIA supergravity coupled
to the brane worldvolume in the democratic formulation and performing a
detailed dualisation procedure. The N=1 chiral coordinates are found to be in
agreement with expectations from mirror symmetry. We work out the Kahler
potential for the chiral superfields as well as the gauge kinetic functions for
the bulk and the brane gauge multiplets including the kinetic mixing between
the two. The scalar potential resulting from the dualisation procedure can be
formally interpreted in terms of a superpotential. Finally, the gauging of the
Peccei-Quinn shift symmetries of the complex structure multiplets reproduces
the D-term potential enforcing the calibration condition for special Lagrangian
3-cycles.Comment: 48 pages, v2: typos corrected, references adde
Perturbative quantum gravity with the Immirzi parameter

We study perturbative quantum gravity in the first-order tetrad formalism.
The lowest order action corresponds to Einstein-Cartan plus a parity-odd term,
and is known in the literature as the Holst action. The coupling constant of
the parity-odd term can be identified with the Immirzi parameter of loop
quantum gravity. We compute the quantum effective action in the one-loop
expansion. As in the metric second-order formulation, we find that in the case
of pure gravity the theory is on-shell finite, and the running of Newton's
constant and the Immirzi parameter is inessential. In the presence of fermions,
the situation changes in two fundamental aspects. First, non-renormalizable
logarithmic divergences appear, as usual. Second, the Immirzi parameter becomes
a priori observable, and we find that it is renormalized by a four-fermion
interaction generated by radiative corrections. We compute its beta function
and discuss possible implications. The sign of the beta function depends on
whether the Immirzi parameter is larger or smaller than one in absolute value,
and the values plus or minus one are UV fixed-points (we work in Euclidean
signature). Finally, we find that the Holst action is stable with respect to
radiative corrections in the case of minimal coupling, up to higher order
non-renormalizable interactions.Comment: v2 minor amendment
Explaining the t tbar forward-backward asymmetry without dijet or flavor
  anomalies

We consider new physics explanations of the anomaly in the top quark
forward-backward asymmetry measured at the Tevatron, in the context of flavor
conserving models. The recently measured LHC dijet distributions strongly
constrain many otherwise viable models. A new scalar particle in the
antitriplet representation of flavor and color can fit the t tbar asymmetry and
cross section data at the Tevatron and avoid both low- and high-energy bounds
from flavor physics and the LHC. An s-channel resonance in uc to uc scattering
at the LHC is predicted to be not far from the current sensitivity. This model
also predicts rich top quark physics for the early LHC from decays of the new
scalar particles. Single production gives t tbar j signatures with high
transverse momentum jet, pair production leads to t tbar j j and 4 jet final
states.Comment: 7 pages, 6 figures; v2: notation clarified, references adde
Generalised massive gravity one-loop partition function and AdS/(L)CFT

The graviton 1-loop partition function is calculated for Euclidean
generalised massive gravity (GMG) using AdS heat kernel techniques. We find
that the results fit perfectly into the AdS/(L)CFT picture. Conformal
Chern-Simons gravity, a singular limit of GMG, leads to an additional
contribution in the 1-loop determinant from the conformal ghost. We show that
this contribution has a nice interpretation on the conformal field theory side
in terms of a semi-classical null vector at level two descending from a primary
with conformal weights (3/2,-1/2).Comment: 25 p., 2 jpg figs, v2: added 6 lines of clarifying text after Eq.
  (2.38
On the Stability of Non-Supersymmetric Quantum Attractors in String
  Theory

We study four dimensional non-supersymmetric attractors in type IIA string
theory in the presence of sub-leading corrections to the prepotential. For a
given Calabi-Yau manifold, the D0-D4 system admits an attractor point in the
moduli space which is uniquely specified by the black hole charges. The
perturbative corrections to the prepotential do not change the number of
massless directions in the black hole effective potential. We further study
non-supersymmetric D0-D6 black holes in the presence of sub-leading
corrections. In this case the space of attractor points define a hypersurface
in the moduli space.Comment: References Added, Typos Corrected, Appendix A.2 Reordere
Pseudo-Killing Spinors, Pseudo-supersymmetric p-branes, Bubbling and
  Less-bubbling AdS Spaces

We consider Einstein gravity coupled to an n-form field strength in D
dimensions. Such a theory cannot be supersymmetrized in general, we
nevertheless propose a pseudo-Killing spinor equation and show that the AdS X
Sphere vacua have the maximum number of pseudo-Killing spinors, and hence are
fully pseudo-supersymmetric. We show that extremal p-branes and their
intersecting configurations preserve fractions of the pseudo-supersymmetry. We
study the integrability condition for general (D,n) and obtain the additional
constraints that are required so that the existence of the pseudo-Killing
spinors implies the Einstein equations of motion. We obtain new
pseudo-supersymmetric bubbling AdS_5 X S^5 spaces that are supported by a
non-self-dual 5-form. This demonstrates that non-supersymmegtric conformal
field theories may also have bubbling states of arbitrary droplets of free
fermions in the phase space. We also obtain an example of less-bubbling AdS
geometry in D=8, whose bubbling effects are severely restricted by the
additional constraint arising from the integrability condition.Comment: typos corrected, extra comments and references added, version
  appeared in JHE
Rigid Supersymmetric Theories in Curved Superspace

We present a uniform treatment of rigid supersymmetric field theories in a
curved spacetime $\mathcal{M}$, focusing on four-dimensional theories with four
supercharges. Our discussion is significantly simpler than earlier treatments,
because we use classical background values of the auxiliary fields in the
supergravity multiplet. We demonstrate our procedure using several examples.
For $\mathcal{M}=AdS_4$ we reproduce the known results in the literature. A
supersymmetric Lagrangian for $\mathcal{M}=\mathbb{S}^4$ exists, but unless the
field theory is conformal, it is not reflection positive. We derive the
Lagrangian for $\mathcal{M}=\mathbb{S}^3\times \mathbb{R}$ and note that the
time direction $\mathbb{R}$ can be rotated to Euclidean signature and be
compactified to $\S^1$ only when the theory has a continuous R-symmetry. The
partition function on $\mathcal{M}=\mathbb{S}^3\times \S^1$ is independent of
the parameters of the flat space theory and depends holomorphically on some
complex background gauge fields. We also consider R-invariant $\mathcal{N}=2$
theories on $\mathbb{S}^3$ and clarify a few points about them.Comment: 26 pages, uses harvmac; v2 with added reference
Exact Solutions of a Fermion-Soliton System in Two Dimensions

We investigate a coupled system of a Dirac particle and a pseudoscalar field
in the form of a soliton in (1+1) dimensions and find some of its exact
solutions numerically.
  We solve the coupled set of equations self-consistently and
non-perturbatively by the use of a numerical method and obtain the bound states
of the fermion and the shape of the soliton. That is the shape of the static
soliton in this problem is not prescribed and is determined by the equations
themselves. This work goes beyond the perturbation theory in which the back
reaction of the fermion on soliton is its first order correction. We compare
our results to those of an exactly solvable model in which the soliton is
prescribed. We show that, as expected, the total energy of our system is lower
than the prescribed one. We also compute non-perturbatively the vacuum
polarization of the fermion induced by the presence of the soliton and display
the results. Moreover, we compute the soliton mass as a function of the boson
and fermion masses and find that the results are consistent with Skyrme's
phenomenological conjecture. Finally, we show that for fixed values of the
parameters, the shape of the soliton obtained from our exact solutions depends
slightly on the fermionic state to which it is coupled. However, the exact
shape of the soliton is always very close to the isolated kink.Comment: 13 pages, 9 figures. arXiv admin note: text overlap with
  arXiv:1210.7233 by other author
From Correlators to Wilson Loops in Chern-Simons Matter Theories

We study n-point correlation functions for chiral primary operators in three
dimensional supersymmetric Chern-Simons matter theories. Our analysis is
carried on in N=2 superspace and covers N=2,3 supersymmetric CFT's, the N=6
ABJM and the N=8 BLG models. In the limit where the positions of adjacent
operators become light-like, we find that the one-loop n-point correlator
divided by its tree level expression coincides with a light-like n-polygon
Wilson loop. Remarkably, the result can be simply expressed as a linear
combination of five dimensional two-mass easy boxes. We manage to evaluate the
integrals analytically and find a vanishing result, in agreement with previous
findings for Wilson loops.Comment: 32 pages, 6 figures, JHEP
Instanton counting with a surface operator and the chain-saw quiver

We describe the moduli space of SU(N) instantons in the presence of a general
surface operator of type N=n_1+ ... +n_M in terms of the representations of the
so-called chain-saw quiver, which allows us to write down the instanton
partition function as a summation over the fixed point contributions labeled by
Young diagrams. We find that the instanton partition function depends on the
ordering of n_I which fixes a choice of the parabolic structure. This is in
accord with the fact that the Verma module of the W-algebra also depends on the
ordering of n_I. By explicit calculations, we check that the partition function
agrees with the norm of a coherent state in the corresponding Verma module.Comment: 25+5 pages, 2 figures, 1 Mathematica file. v2: published versio
Baryon and Dark Matter Genesis from Strongly Coupled Strings

D3-brane probes of E-type Yukawa points lead to strongly coupled nearly
conformal sectors nearby the Standard Model (visible sector) which are
motivated by F-theory GUTs. Realistic visible sector brane configurations
induce a seesaw mass hierarchy in the hidden sector with light GUT singlets
charged under a strongly coupled hidden sector U(1). Interpreting these GUT
singlets as dark matter, this leads to a matter genesis scenario where the
freeze out and subsequent decay of heavy mediators between the two sectors
simultaneously populates comparable amounts of baryon and dark matter
asymmetry. Generating a net matter asymmetry requires a generational structure
in the probe sector which is absent at weak string coupling, but is
automatically realized at strong string coupling via towers of dyonic bound
states corresponding to multi-prong string junctions. The hidden U(1) couples
to the visible sector through both electric and magnetic kinetic mixing terms,
providing an efficient means to deplete the symmetric component of dark matter.
The mass of the dark matter is of order ~ 10 GeV. The dark matter mass and the
matter asymmetry are both controlled by the scale of conformal symmetry
breaking ~ 10^(9) - 10^(13) GeV, with the precise relation between the two set
by details of the visible sector brane configuration.Comment: v3: 77 pages, 7 figures, references adde
Free Differential Algebras and Pure Spinor Action in IIB Superstring
  Sigma Models

In this paper we extend to the case of IIB superstring sigma models the
method proposed in hep-th/10023500 to derive the pure spinor approach for type
IIA sigma models. In particular, starting from the (Free) Differential Algebra
and superspace parametrization of type IIB supergravity, extended to include
the BRST differential and all the ghosts, we derive the BRST transformations of
fields and ghosts as well as the standard pure spinor constraints for the
ghosts $\lambda $ related to supersymmetry. Moreover, using the method first
proposed by us, we derive the pure spinor action for type IIB superstrings in
curved supergravity backgrounds (on shell), in full agreement with the action
first obtained by Berkovits and Howe.Comment: 24 page
Quantization of charges and fluxes in warped Stenzel geometry

We examine the quantization of fluxes for the warped Stiefel cone and Stenzel
geometries and their orbifolds, and distinguish the roles of three related
notions of charge: Page, Maxwell, and brane. The orbifolds admit discrete
torsion, and we describe the associated quantum numbers which are consistent
with the geometry in its large radius and small radius limits from both the
type IIA and the M-theory perspectives. The discrete torsion, measured by a
Page charge, is related to the number of fractional branes. We relate the
shifts in the Page charges under large gauge transformations to the
Hanany-Witten brane creation effect.Comment: 21 pages, 1 figur