Article
Astronomy & Astrophysics
Alon E. Faraggi, Viktor G. Matyas, Benjamin Percival
Summary: The Z(2) x Z(2) heterotic string orbifold provides a large space of phenomenological three-generation models for exploring the incorporation of the Standard Model into a theory of quantum gravity. Recent findings show the existence of type 0 Z(2) x Z(2) heterotic string orbifolds lacking massless fermionic states. The non-supersymmetric tachyon-free Z(2) x Z(2) heterotic string orbifolds dubbed as type (0) over bar models contain untwisted bosonic states and an excess of massless fermionic states over bosonic ones, potentially aiding in understanding string dynamics in the early universe.
Article
Mathematics, Applied
Chongying Dong, Feng Xu, Nina Yu
Summary: The study has shown that Dong-Li-Mason's associated associative algebra and Zhu's algebra are isomorphic, leading to a new result that establishes a one-to-one correspondence between irreducible g-twisted V-circle times k-modules and irreducible V-modules.
SCIENCE CHINA-MATHEMATICS
(2022)
Article
Mathematics
Chongying Dong, Feng Xu, Nina Yu
Summary: This paper investigates the action of permutation groups on tensor product vertex operator algebras and determines the S-matrix of cyclic groups.
JOURNAL OF ALGEBRA
(2022)
Article
Mathematics, Applied
Chongying Dong, Feng Xu, Nina Yu
Summary: This paper presents an explicit isomorphism that maps a vertex operator superalgebra V circle times k to another algebra. This isomorphism is related to the superspace structure of V and has different mapping results for odd and even k.
SCIENCE CHINA-MATHEMATICS
(2023)
Article
Mathematics, Applied
Antun Milas, Michael Penn, Christopher Sadowski
Summary: In this paper, we investigate the S3-orbifold subalgebra of (Vc)circle times 3, which is the S3-fixed point vertex subalgebra of the tensor product of three copies of the universal Virasoro vertex operator algebras Vc. We construct a minimal, strong set of generators for this subalgebra for any generic values of c. We also study two examples of simple S3-orbifold algebras corresponding to central charges c = 12 (Ising model) and c = - 225 (i.e. (2, 5)-minimal model).
JOURNAL OF PURE AND APPLIED ALGEBRA
(2023)
Article
Physics, Particles & Fields
Stefano Giaccari, Roberto Volpato
Summary: In quantum field theory, orbifolds are obtained by gauging a finite global symmetry, but this does not apply to quantum gravity theories. In string theory, orbifolds involve gauging global symmetries on the world-sheet theory or quotienting isometries. We propose a new formulation of string orbifolds based on the gauge symmetries of a given string model. Through examples, we show how the higher group structure of the parent theory determines the gauge group and twisted sector of the orbifold theory. The dependence of this orbifold procedure on the duality frame is also discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Nuclear
Alon E. Faraggi, Viktor G. Matyas, Benjamin Percival
Summary: The Z(2) x Z(2) heterotic string orbifold yields a variety of phenomenological three generation models and serves as a testing ground for incorporating the Standard Model in a theory of quantum gravity. This paper explores the existence of type 0 models in this class of string compactifications, showing a large degree of redundancy in the GGSO projection coefficients. The type 0 models contain physical tachyons in the moduli space, indicating their instability and potential role in exploring string dynamics in cosmological scenarios.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2021)
Article
Physics, Particles & Fields
Daniel G. Robbins, Eric Sharpe, Thomas Vandermeulen
Summary: This paper introduces a new set of modular-invariant phase factors for orbifolds, which can be used in orbifold calculations. After describing their basic properties, the authors generalize these phase factors to different orbifolds and propose a precise suggestion on how to make these orbifolds equivalent to disjoint unions of other orbifolds. This proposal is validated in numerous examples.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Massimo Bianchi, Guillaume Bossard, Dario Consoli
Summary: We analyze the perturbative four-point amplitudes in T-fold backgrounds and discuss the constraints on symmetries, supersymmetries, and low energy effective couplings. We also discuss the non-perturbative spectrum of BPS states.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Stefan Groot Nibbelink
Summary: This paper discusses asymmetric heterotic orbifolds from the worldsheet perspective, presenting Buscher's gauging of a theory of D compact bosons and Tseytlin's duality covariant description. The residual of gauge symmetry is utilized to remove doubled constant zero modes, resulting in physical target space coordinates. The extension of this description to the heterotic theory is straightforward, with explicit methods outlined for obtaining generalized metrics invariant under T-duality orbifold actions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Daniel G. Robbins, Eric Sharpe, Thomas Vandermeulen
Summary: This paper describes a generalization of decomposition in orbifolds, taking into account the impact of discrete torsion on the decomposition process. The study shows that even in the presence of discrete torsion, one can still observe rudiments of decomposition.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Bobby Samir Acharya, Alex Kinsella, David R. Morrison
Summary: The article discusses the duality between the E-8 x E-8 heterotic string and M-theory on K3, investigating the heterotic duals of M-theory compactified on G(2) orbifolds. By analyzing the gauge groups of the dual theories, the behavior of a half-G(2) limit is deduced, revealing point-like instantons localized on pairs of orbifold loci in the heterotic backgrounds.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Christopher Couzens, Hyojoong Kim, Nakwoo Kim, Yein Lee, Minwoo Suh
Summary: We construct a consistent truncation of six-dimensional matter coupled F(4) gauged supergravity on various two-dimensional surfaces, including a spindle, disc, domain wall, etc., yielding four-dimensional minimal gauged supergravity. Using this truncation, we uplift known AdS(2)×Σ(1) solutions to four-dimensional orbifold solutions, AdS(2)×Σ(1)×Σ(2). Furthermore, we uplift our solutions to massive type IIA supergravity by constructing the full uplift formulae for six-dimensional U(1)(2)-gauged supergravity, including all fields and arbitrary Romans mass and gauge coupling.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Mathematics, Applied
G. Bonelli, N. Fasola, A. Tanzini, Y. Zenkevich
Summary: We study the moduli space of SU(4) invariant BPS conditions in supersymmetric gauge theory on non-commutative C4. The classification of invariant solutions under the natural toric action is given in terms of solid partitions. In the orbifold case C4/G, the classification is given in terms of coloured solid partitions. We compute several terms of the partition function expansion in the instanton counting parameter on C4 and C2 x (C2/Z2), which conjecturally provides the corresponding orbifold Donaldson-Thomas invariants.
JOURNAL OF GEOMETRY AND PHYSICS
(2023)
Article
Mathematics, Applied
Daniele Alessandrini, Gye-Seon Lee, Florent Schaffhauser
Summary: We extend the notion of Hitchin component to orbifold groups and explore its properties. Specifically, we prove that the Hitchin component of an orbifold group is homeomorphic to an open ball and compute its dimension explicitly. Furthermore, we demonstrate its applications to pressure metric, cyclic Higgs bundles, and deformation theory of real projective structures on 3-manifolds.
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
(2023)
Article
Astronomy & Astrophysics
Alexandre Belin, Aitor Lewkowycz, Gabor Sarosi
Article
Physics, Particles & Fields
Alexandre Belin, Aitor Lewkowycz, Gabor Sarosi
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Alexandre Belin, Diego M. Hofman, Gregoire Mathys
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Alexandre Belin, Alejandra Castro, Christoph A. Keller, Beatrix Muehlmann
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Multidisciplinary
Alexandre Belin, Nathan Benjamin, Alejandra Castro, Sarah M. Harrison, Christoph A. Keller
Article
Physics, Multidisciplinary
Alexandre Belin, Nabil Iqbal, Jorrit Kruthoff
Article
Physics, Particles & Fields
Alexandre Belin, Aitor Lewkowycz, Gabor Sarosi
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Alexandre Belin, Benjamin Withers
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Alexandre Belin, Diego M. Hofman, Gregoire Mathys, Matthew T. Walters
Summary: The study focuses on correlation functions involving generalized ANEC operators and extracting the algebra of these light-ray operators. A global subalgebra spanned by specific n values exists in conformal theories, while operators outside this range give rise to an infinite central term.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Alexandre Belin, Jan de Boer
Summary: The study proposes an ansatz for OPE coefficients in chaotic conformal field theories, generalizing the eigenstate thermalization hypothesis and describing heavy operators as random variables with a Gaussian distribution. By applying this ansatz in two dimensions, higher moments of OPE coefficients can be calculated and analyzed, while also relating them to genus-2 partition functions and their squares in the context of AdS(3) Einstein gravity solutions. The research suggests that calculations based on the semi-classical low-energy gravitational theory are primarily affected by the random nature of OPE coefficients, explaining the lack of factorization in partition function products.
CLASSICAL AND QUANTUM GRAVITY
(2021)
Article
Physics, Multidisciplinary
Alexandre Belin, Robert C. Myers, Shan-Ming Ruan, Gabor Sarosi, Antony J. Speranza
Summary: This paper presents a new infinite class of gravitational observables in asymptotically anti-de Sitter space living on codimension-one slices of the geometry, the most famous of which is the volume of the maximal slice. The authors show that these observables display universal features for the thermofield-double state, growing linearly in time at late times and reproducing the switchback effect in shock wave geometries. They argue that any member of this class of observables is an equally viable candidate as the extremal volume for a gravitational dual of complexity.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Alexandre Belin, Sean Colin-Ellerin
Summary: This study aims to systematically link quantum extremal surfaces to the microscopic data of the dual conformal field theory, particularly the scaling dimensions of local operators and OPE coefficients. Focusing on the case in AdS(3)/CFT2, it is found that the Virasoro identity block contributes solely to the area operator.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Alexandre Belin, Jan de Boer, Pranjal Nayak, Julian Sonner
Summary: In this paper, we generalize the eigenstate thermalization hypothesis to systems with global symmetries and present two versions considering microscopic charge conservation and exponentially suppressed violations. These versions agree for correlation functions of simple operators, but differ in the variance of charged one-point functions at finite temperature. Applying these ideas to holography and gravitational low-energy effective theories, we find that Euclidean wormholes predict a non-zero variance for charged one-point functions, which contradicts microscopic charge conservation. This implies that global symmetries in quantum gravity must either be gauged or explicitly broken by non-perturbative effects.
Article
Physics, Particles & Fields
Luis Apolo, Alexandre Belin, Suzanne Bintanja, Alejandra Castro, Christoph A. Keller
Summary: This study analyzes how deforming symmetric product orbifolds of two-dimensional N = 2 conformal field theories by an exactly marginal operator lifts higher spin currents present at the orbifold point. The results show that these currents are universally lifted regardless of the underlying CFT, but the details of the lifting depend on the central charge of the underlying CFT and the specific marginal operator in use. These findings are important for understanding the mechanism by which the stringy spectrum turns into a supergravity spectrum and the holographic nature of symmetric product orbifolds.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Alexandre Belin, Jan de Boer, Jorrit Kruthoff