bluuebunny/crossref_metadata_2025_split huggingface dataset:
Examples of Homologically Wide Actions
Authors: Cornelissen Gunther , Peyerimhoff Norbert 
Published: May 2023

AbstractAn action of a finite groupGon a manifoldMis homologically wide if the first homology of the manifold contains the regular representation of the group. In this chapter, we study this notion independently of the rest of this monograph. We first study the case whereMis a surface andGacts freely, using the Lefschetz fixed point formula. We then recall a result of Broughton on the homology representation that allows us to deal with the case of a general action on a Riemann surface. After this, we switch to higher dimensional manifolds. We first recall Curtis’s theory of the virtual Lefschetz characters, and use results of Cooper and Long to construct examples and counterexamples to homological wideness in all dimensions ≥ 3. Finally, we study locally symmetric spaces. Property (T) implies that only the case of rank 1 is interesting, where we make some remarks on the relation to automorphic representations and Mostow rigidity. Finally, we study an example of using torsion homology: Mednykh’s explicit computation of the homology representation of the Seifert-Weber dodecahedral space, which we identify with a known modular representation through Brauer characters.
Evidence-Based Research Integrity
Authors: Marušić Ana 
Published: May 2023

AbstractThis chapter discusses the challenges to research integrity from the perspective of good research practices as defined by the European Code of Conduct for Research Integrity: 1) research environment, 2) training, supervision and mentoring, 3) research procedures, 4) safeguards, 5) data practices and management, 6) collaborative working, 7) publication and dissemination, and 8) reviewing, evaluating and editing.
Navigating the Future and Overcoming Challenges to Unlock Open Science
Authors: Méndez Eva , Sánchez-Núñez Pablo 
Published: May 2023

AbstractOpen Science (OS) has been rapidly evolving in recent years, but there is still work to be done to return Science to researchers and citizens who pay for it. Technological advancements have enabled Open Science to transform the way scientific research is conducted, facilitating collaboration and innovation among researchers. As a result, OS is expected to play an increasingly important role in scientific research and innovation in the years to come, driving discoveries and advancements in various fields. However, OS also poses challenges, including the potential for bias and discrimination in research. This chapter explores the challenges that need to be addressed to fully implement OS globally, outlining the barriers that need to be overcome and describing the complexity of the changes that come with this new research approach. Additionally, the chapter discusses the impact of Artificial Intelligence on addressing these challenges, while also creating new ones.
Ethics and Development of Advanced Technology Systems in Public Administration
Authors: da Costa Alexandre António , Pereira Luís Moniz 
Published: May 2023

AbstractThis article analyses aspects related to the implementation of advanced technology systems in Public Administration, taking into account the scope of action of its entities and services, as well as its main distinction with the private sector, which lies in the pursuit of the public interest, understood as justification for the execution of public policies, but also in the broader scope of the human development index. The difficulties and resistance to the adoption and use of technology in Public Administration will be examined, also in the light of practical situations whose implementation proved to be inadequate, resulting in the analysis of ideas for the future. We approach the evolution of public management models that are emerging through the action of technology. We prepare the ground for machine ethics in Public Administration by framing ethics in public services in general terms, with reference to AI systems designed in line with mainstream ethics. Of the various ethical issues that arise in this domain, we pay attention to the issue of privacy and the balance that needs to be achieved so that the use of data can contribute to ethical, beneficial and reliable technologies. We sound alerts in the field of discrimination and prejudice that the bias of technology can show. The explainability and transparency of technological systems provide confidence to decision-makers and citizens, helping to clarify responsibilities in the decisions of Public Administration agents, and the researchers working for them .
Relevance and Challenges of Ethics Committees
Authors: Lõuk Kristi 
Published: May 2023

AbstractThis article explores the role of ethics committees in ensuring ethical research and innovation, which is essential for maintaining trust in science and innovation. The paper argues that the ethics infrastructure must function at the levels of research and innovation institutions, as well as regional and national levels, and should follow agreed-upon rules and requirements. The changing role of ethics committees is discussed, emphasizing their involvement in investigating potential research misconduct and coordinating the activities of all ethics committees within an institution. The article concludes that for a research and innovation institution, it is of crucial importance to consider the entire ethics infrastructure, including the functions of different ethics committees and ways of implementation through transparency, involvement, policies, procedures, and communication to safeguard that both researchers and the public have trust in ethics infrastructure and ethics committees.
Charge transport, information scrambling and quantum operator-coherence in a many-body system with U(1) symmetry
Authors: Agarwal Lakshya , Sahu Subhayan , Xu Shenglong 
Published: May 2023

Abstract
In this work, we derive an exact hydrodynamical description for the coupled, charge and operator dynamics, in a quantum many-body system with U(1) symmetry. Using an emergent symmetry in the complex Brownian SYK model with charge conservation, we map the operator dynamics in the model to the imaginary-time dynamics of an SU(4) spin-chain. We utilize the emergent SU(4) description to demonstrate that the U(1) symmetry causes quantum-coherence to persist even after disorder-averaging, in sharp contrast to models without symmetries. In line with this property, we write down a ‘restricted’ Fokker-Planck equation for the out-of-time ordered correlator (OTOC) in the large-N limit, which permits a classical probability description strictly in the incoherent sector of the global operator-space. We then exploit this feature to describe the OTOC in terms of a Fisher-Kolmogorov-Petrovsky-Piskun (FKPP)-equation which couples the operator with the charge and is valid at all time-scales and for arbitrary charge-density profiles. The coupled equations obtained belong to a class of models also used to describe the population dynamics of bacteria embedded in a diffusive media. We simulate them to explore operator-dynamics in a background of non-uniform charge configuration, which reveals that the charge transport can strongly affect dynamics of operators, including those that have no overlap with the charge.
Complete one-loop renormalization-group equations in the seesaw effective field theories
Authors: Wang Yilin , Zhang Di , Zhou Shun 
Published: May 2023

Abstract
In this paper, we derive the complete set of one-loop renormalization-group equations (RGEs) for the operators up to dimension-six (dim-6) in the seesaw effective field theories (SEFTs). Two kinds of contributions to those RGEs are identified, one from double insertions of the dimension-five (dim-5) Weinberg operator and the other from single insertions of the tree-level dim-6 operators in the SEFTs. A number of new results are presented. First, as the dim-5 Weinberg operator is unique in the standard model effective field theory (SMEFT), its contributions to the RGEs for the SEFTs are equally applicable to the SMEFT. We find the full contributions from the Weinberg operator to one-loop RGEs in the SMEFT, correcting the results existing in previous works, and confirm that those from dim-6 operators are consistent with the results in the literature. Second, in the type-I SEFT, we give the explicit expressions of the RGEs of all the physical parameters involved in the charged- and neutral-current interactions of leptons. Third, the RGEs are numerically solved to illustrate the running behaviors of the non-unitary parameters, mixing angles and CP-violating phases in the non-unitary leptonic flavor mixing matrix. Together with the one-loop matching results of the dim-5 and dim-6 operators and their Wilson coefficients, the present work has established a self-consistent framework up to dim-6 to investigate low-energy phenomena of three types of seesaw models at the one-loop level.
Multi-instanton calculus in c = 1 string theory
Authors: Balthazar Bruno , Rodriguez Victor A. , Yin Xi 
Published: May 2023

Abstract
We formulate a strategy for computing the complete set of non-perturbative corrections to closed string scattering in c = 1 string theory from the worldsheet perspective. This requires taking into account the effect of multiple ZZ-instantons, including higher instantons constructed from ZZ boundary conditions of type (m, 1), with a careful treatment of the measure and contour in the integration over the instanton moduli space. The only a priori ambiguity in our prescription is a normalization constant $$ \mathcal{N} $$
N
m that appears in the integration measure for the (m, 1)-type ZZ instanton, at each positive integer m. We investigate leading corrections to the closed string reflection amplitude at the n-instanton level, i.e. of order $$ {e}^{-n/{g}_s} $$

e

−
n
/

g
s

, and find striking agreement with our recent proposal on the non-perturbative completion of the dual matrix quantum mechanics, which in turn fixes $$ \mathcal{N} $$
N
m for all m.
QCD at the amplitude level: Fock state interference in heavy quark electroproduction
Authors: Lyubovitskij Valery E. , Schmidt Ivan 
Published: May 2023

Abstract
Quantum chromodynamics (QCD) rigorously predicts the existence of both nonperturbative intrinsic and perturbative extrinsic heavy quark contents of nucleons. In this article we discuss the heavy quark electroproduction on protons induced by the Fock states ∣uud + g〉 of three valence quarks in the proton and a nonperturbative gluon, and the $$ \mid uud+Q\overline{Q}\Big\rangle $$
∣
uud
+
Q

Q
¯

〉
non-perturbative state of three valence quarks and a heavy quark-antiquark pair. The first one gives the perturbative contribution when the gluon produces a heavy quark pair, while the second is the intrinsic part, and they produce amplitude interference. We use nonperturbative light-front wavefunctions for these Fock states, which are computed using the color-confining light-front holographic QCD theory. Due to interference of the amplitudes corresponding to the intrinsic and extrinsic heavy quark contribution to the proton a novel Q vs. $$ \overline{Q} $$

Q
¯

asymmetry emerges in the differential cross section of the electroproduction off a proton $$ {d}^2{\sigma}_{e^{-}p}/\left( dxd{Q}^2\right) $$

d
2

σ

e
−

p

/

dxd

Q
2

. Our analysis proposed a novel asymmetry in QCD between intrinsic and extrinsic heavy quark content in nucleon and provides new insights into the physics of heavy quark phenomena in QCD at the amplitude level. This asymmetry is similar to the Brodsky-Gillespie asymmetry discovered before in QED case and confirmed at DESY.
Gravitational wave memory in conformally flat spacetimes
Authors: Jokela Niko , Kajantie K. , Sarkkinen Miika 
Published: May 2023

Abstract
We study the gravitational wave memory effect in spacetimes related to flat space by a conformal transformation. The discussion is general but the gravitational wave length scale is assumed to be small compared with the background curvature radius. The general formulas are applied to Friedmann-Robertson-Walker metrics of all spatial curvatures. The effect of new terms stemming from spatial curvature is potentially detectable in future gravitational wave measurements.
Nonassociative black holes in R-flux deformed phase spaces and relativistic models of Perelman thermodynamics
Authors: Bubuianu Laurenţiu , Singleton Douglas , Vacaru Sergiu I. 
Published: May 2023

Abstract
This paper explores new classes of black hole (BH) solutions in nonassociative and noncommutative gravity, focusing on features that generalize to higher dimensions. The theories we study are modelled on (co) tangent Lorentz bundles with a star product structure determined by R-flux deformations in string theory. For the nonassociative vacuum Einstein equations we consider both real and complex effective sources. In order to analyze the nonassociative vacuum Einstein equations we develop the anholonomic frame and connection deformation methods, which allows one to decoupled and solve these equations. The metric coefficients can depend on both space-time coordinates and energy-momentum. By imposing conditions on the integration functions and effective sources we find physically important, exact solutions: (1) 6-d Tangherlini BHs, which are star product and R-flux distorted to 8-d black ellipsoids (BEs) and BHs; (2) nonassocitative space-time and co-fiber space double BH and/or BE configurations generalizing Schwarzschild-de Sitter metrics. We also investigate the concept of Bekenstein-Hawking entropy and find it applicable only for very special classes of nonassociative BHs with conventional horizons and (anti) de Sitter configurations. Finally, we show how analogs of the relativistic Perelman W-entropy and related geometric thermodynamic variables can be defined and computed for general classes of off-diagonal solutions with nonassociative R-flux deformations.
Two-loop evolution kernels for colour dependent double parton distributions
Authors: Diehl Markus , Fabry Florian , Vladimirov Alexey 
Published: May 2023

Abstract
A key ingredient in the description of double parton distributions is their scale dependence. If the colour of each individual parton is summed over, the distributions evolve with the same DGLAP kernels as ordinary parton distributions. This is no longer true if the two partons are colour correlated. We compute the relevant kernels for this case at next-to-leading order in the strong coupling, for unpolarised or longitudinally polarised partons and for transversely polarised quarks.
The teleparallel complex
Authors: Cederwall Martin , Palmkvist Jakob 
Published: May 2023

Abstract
We formalise the teleparallel version of extended geometry (including gravity) by the introduction of a complex, the differential of which provides the linearised dynamics. The main point is the natural replacement of the two-derivative equations of motion by a differential which only contains terms of order 0 and 1 in derivatives. Second derivatives arise from homotopy transfer (elimination of fields with algebraic equations of motion). The formalism has the advantage of providing a clear consistency relation for the algebraic part of the differential, the “dualisation”, which then defines the dynamics of physical fields. It remains unmodified in the interacting BV theory, and the full non-linear models arise from covariantisation. A consequence of the use of the complex is that symmetry under local rotations becomes as good as manifest, instead of arising for a specific combination of tensorial terms, for less obvious reasons. We illustrate with a derivation of teleparallel Ehlers geometry, where the extended coordinate module is the adjoint module of a finite-dimensional simple Lie group.
AdS scale separation and the distance conjecture
Authors: Shiu Gary , Tonioni Flavio , Van Hemelryck Vincent , Van Riet Thomas 
Published: May 2023

Abstract
It has been argued that orientifold vacua with fluxes in type IIA string theory can achieve moduli stabilisation and arbitrary decoupling between the AdS and KK scales upon sending certain unconstrained RR-flux quanta to infinity. In this paper, we find a novel scalar field in the open-string sector that allows us to interpolate between such IIA vacua that differ in flux quanta and find that the limit of large fluxes is nicely consistent with the distance conjecture. This shows that the massive IIA vacua pass an important Swampland criterion and suggests that scale-separated AdS vacua might not be in the Swampland. Our analysis also naturally suggests a flux analogue of “Reid’s fantasy” where flux vacua that differ in quantised flux numbers can be connected through trajectories in open-string field space and not just via singular domain walls.
AdS correction to the Faddeev-Kulish state: migrating from the flat peninsula
Authors: Duary Sarthak 
Published: May 2023

Abstract
The IR finiteness of $$ \mathcal{S} $$
S
-matrix in flat spacetime is tied to the Faddeev-Kulish dressed state, which suggests dressing the Fock space scattering state with the soft photon modes. We instigate a construction for the Faddeev-Kulish dressed state in the language of AdS/CFT. A salient feature of AdS spacetime is that it acquits itself as a quintessential IR regulator. The IR divergences will take shape after taking the zoomed in limit. We explore the Faddeev-Kulish dressed state to account for the AdS radius corrections. The Wilson line dressing stands as a guiding principle in the study of AdS radius-corrected Faddeev-Kulish dressing. We construct the modes of the Wilson line dressed massive scalar field implementing vanilla HKLL reconstruction since the field is simply free field. This simplification is owing to the use of soft photon modes in the Wilson line dressing. We map the AdS radius-corrected soft photon modes in terms of CFT current operators. We invert this mapping, use the mapping in the Wilson line dressing, and express the AdS radius-corrected Faddeev-Kulish dressed state.
The V-QCD baryon: numerical solution and baryon spectrum
Authors: Järvinen M. , Kiritsis E. , Nitti F. , Préau E. 
Published: May 2023

Abstract
The single baryon solution of V-QCD is numerically computed. The spectrum of spin and isospin modes is also computed by quantizing the light fluctuations around the baryon. It is shown that there is a partial restoration of chiral symmetry at the baryon center.
Emergent area laws from entangled matrices
Authors: Frenkel Alexander , Hartnoll Sean A. 
Published: May 2023

Abstract
We consider a wavefunction of large N matrices supported close to an emergent classical fuzzy sphere geometry. The SU(N) Gauss law of the theory enforces correlations between the matrix degrees of freedom associated to a geometric subregion and their complement. We call this ‘Gauss law entanglement’. We show that the subregion degrees of freedom transform under a single dominant, low rank representation of SU(N). The corresponding Gauss law entanglement entropy is given by the logarithm of the dimension of this dominant representation. It is found that, after coarse-graining in momentum space, the SU(N) Gauss law entanglement entropy is proportional to the geometric area bounding the subregion. The constant of proportionality goes like the inverse of an emergent Maxwell coupling constant, reminiscent of gravitational entropy.
Continuous dependence of the weak limit of iterates of some random-valued vector functions
Authors: Komorek Dawid 
Published: May 2023

AbstractGiven a probability space $$(\Omega ,\mathcal {A},\mathbb {P})$$

(
Ω
,
A
,
P
)

, a complete separable Banach space X with the $$\sigma $$
σ
-algebra $$\mathcal B(X)$$

B
(
X
)

of all its Borel subsets, an operator $$\Lambda :\Omega \rightarrow L(X,X)$$

Λ
:
Ω
→
L
(
X
,
X
)

and $$\xi :\Omega \rightarrow X$$

ξ
:
Ω
→
X

we consider the $$\mathcal {B}(X)\otimes \mathcal A$$

B
(
X
)
⊗
A

-measurable function $$f:X\times \Omega \rightarrow X$$

f
:
X
×
Ω
→
X

given by $$f(x,\omega )=\Lambda (\omega )x+\xi (\omega )$$

f
(
x
,
ω
)
=
Λ
(
ω
)
x
+
ξ
(
ω
)

and investigate the continuous dependence of a weak limit $$\pi ^f$$

π
f

of the sequence of iterates $$(f^n(x,\cdot ))_{n\in \mathbb {N}}$$

(

f
n

(
x
,
·
)

)

n
∈
N

of f, defined by $$f^0(x,\omega )=x, f^{n+1}(x,\omega )=f(f^n(x,\omega ),\omega _{n+1})$$

f
0

(
x
,
ω
)

=
x
,

f

n
+
1

(
x
,
ω
)

=
f

(

f
n

(
x
,
ω
)

,

ω

n
+
1

)

for $$x\in X$$

x
∈
X

and $$\omega =(\omega _1,\omega _2,\dots )$$

ω
=
(

ω
1

,

ω
2

,
⋯
)

. Moreover for X taken as a Hilbert space we characterize $$\pi ^f$$

π
f

via the functional equation $$\begin{aligned} \varphi ^f(u)=\int _{\Omega }\varphi ^f(\Lambda (\omega )u)\varphi ^{\xi }(u)\mathbb {P}(d\omega ) \end{aligned}$$

φ
f

(
u
)

=

∫
Ω

φ
f

(
Λ

(
ω
)

u
)

φ
ξ

(
u
)

P

(
d
ω
)

with the aid of its characteristic function $$\varphi ^f$$

φ
f

. We also indicate the continuous dependence of a solution of that equation.
Refined Enumeration of $${{\varvec{k}}}$$-plane Trees and $${\varvec{k}}$$-noncrossing Trees
Authors: Okoth Isaac Owino , Wagner Stephan 
Published: May 2023

AbstractA k-plane tree is a plane tree whose vertices are assigned labels between 1 and k in such a way that the sum of the labels along any edge is no greater than $$k+1$$

k
+
1

. These trees are known to be related to $$(k+1)$$

(
k
+
1
)

-ary trees, and they are counted by a generalised version of the Catalan numbers. We prove a surprisingly simple refined counting formula, where we count trees with a prescribed number of labels of each kind. Several corollaries are derived from this formula, and an analogous theorem is proven for k-noncrossing trees, a similarly defined family of labelled noncrossing trees that are related to $$(2k+1)$$

(
2
k
+
1
)

-ary trees.
ON THE INTEGRAL FORM OF RANK 1 KAC–MOODY ALGEBRAS
Authors: DAMIANI ILARIA , PAOLINI MARGHERITA 
Published: May 2023

AbstractIn this paper we shall prove that the ℤ-subalgebra generated by the divided powers of the Drinfeld generators $$ {x}_r^{\pm } $$

x
r
±

(r ∈ ℤ) of the Kac–Moody algebra of type $$ {\textrm{A}}_2^{(2)} $$

A
2

2

is an integral form (strictly smaller than Mitzman’s; see [Mi]) of the enveloping algebra, we shall exhibit a basis generalizing the one provided in [G] for the untwisted affine Kac–Moody algebras and we shall determine explicitly the commutation relations. Moreover, we prove that both in the untwisted and in the twisted case the positive (respectively negative) imaginary part of the integral form is an algebra of polynomials over ℤ.