Article
Physics, Particles & Fields
Mohsen Karkheiran
Summary: The Yukawa textures of effective heterotic models are studied by using singular spectral data, allowing for the dissection of the cohomologies of bundles to identify zero modes with potential non-zero Yukawa couplings. Another advantage is the clear relationship between Yukawa textures in heterotic models and local F-theory models. The idea of generalizing this approach to every elliptically fibered Calabi-Yau with rational sections is proposed at the end of the paper.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Wei Cui, Mohsen Karkheiran
Summary: This paper studies how holomorphicity of vector bundles can stabilize complex structure moduli of a Calabi-Yau threefold, focusing on the context of elliptically fibered Calabi-Yau manifolds. It is found that the holomorphicity of the bundles depends on algebraic cycles in certain situations, allowing stabilization of both base and fibration moduli within the complex structure moduli space.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Andre Lukas, Fabian Ruehle
Summary: Calabi-Yau threefolds with infinitely many flops to isomorphic manifolds have an extended Kahler cone constructed from an infinite number of individual Kahler cones. These cones exhibit reflection symmetries across flop walls. By studying the instanton part of the prepotential in Calabi-Yau threefolds, it is shown that isomorphic flops across facets of the Kahler cone boundary give rise to symmetry groups isomorphic to Coxeter groups. This leads to instanton prepotentials invariant under Coxeter groups, which can be made manifest by introducing appropriate invariant functions.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
E. Gonzalo, L. E. Ibanez, I Valenzuela
Summary: The paper investigates compactifying the Standard Model on a circle and finds two independent swampland conditions that yield similar constraints. Unlike previous studies, these conditions only require measuring the local infrared information of the potential function.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Yuichi Enoki, Taizan Watari
Summary: In this article, we compute the monodromy matrices on the special geometry of 4d N = 2 Heterotic-IIA dual vacua in some simple cases by numerical evaluation of the period integrals. The integrality of the monodromy matrices constrains some classification invariants of the string vacua. We also mention some mathematical open problems on period polynomials for modular forms with poles.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Hector Parra De Freitas
Summary: This note demonstrates that the current classification of N=1 string theories in eight and seven dimensions can be fully described by K3 surfaces with frozen singularities in F-Theory or M-Theory. It is shown that there are different equivalent ways of freezing certain collections of singularities with the same ADE type, leading to more connected components in the moduli space than previously thought: one more in eight dimensions and three more in seven dimensions. The existence of a new component in eight dimensions, which decompactifies to a string theory in nine dimensions with a rank 1 gauge group, remains unidentified.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
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
Bernardo Fraiman, Hector Parra De Freitas
Summary: We propose an organizing principle for string theory moduli spaces in six dimensions with N = (1, 1) using a rank reduction map. This principle encompasses all known constructions, including cyclic and non-cyclic orbifolds. We establish a connection between cyclic orbifolds and meromorphic 2D (s)CFTs with c = 24 (c = 12) and show how they encode gauge symmetry enhancement in 6D theories. The framework suggests the existence of 47 moduli spaces, with only 17 having known string constructions.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Bernardo Fraiman, Hector Parra De Freitas
Summary: We derive a map that relates the gauge symmetry groups of heterotic strings on T-4 to other components of the moduli space with rank reduction. This relation explicitly involves the topology of the gauge groups, particularly non-simply-connected ones. The results are verified using an exhaustive list of gauge groups obtained with a moduli space exploration algorithm.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Anamaria Font, Bernardo Fraiman, Mariana Grana, Carmen A. Nunez, Hector Parra De Freitas
Summary: This study focuses on compactifications of the heterotic string on special T-d/Z(2) orbifolds, revealing properties of string models and gauge groups; systematic exploration of the moduli space using computer algorithms, identifying points where the U(1)(d+8) enhances to a non-Abelian gauge group; findings on group structures in specific dimensions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Jacob M. M. Leedom, Nicole Righi, Alexander Westphal
Summary: We study the vacua of 4d heterotic toroidal orbifolds using effective theories consisting of an overall Kahler modulus, the dilaton, and non-perturbative corrections to both the superpotential and Kahler potential that respect modular invariance. We prove three de Sitter no-go theorems for several classes of vacua and thereby substantiate and extend previous conjectures. Additionally, we provide evidence that extrema of the scalar potential can occur inside the PSL(2, Z) fundamental domain of the Kahler modulus, in contradiction of a separate conjecture. We also illustrate a loophole in the no-go theorems and determine criteria that allow for metastable de Sitter vacua. Finally, we identify inherently stringy non-perturbative effects in the dilaton sector that could exploit this loophole and potentially realize de Sitter vacua.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Niccolo Cribiori, Susha Parameswaran, Flavio Tonioni, Timm Wrase
Summary: This article investigates the finite perturbative corrections in non-supersymmetric strings and discusses their physical and mathematical properties through the interplay between modular invariance and misaligned supersymmetry.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Ralph Blumenhagen, Christian Kneissl, Andriana Makridou
Summary: Under certain assumptions, the quantum break time approach and the trans-Planckian censorship conjecture both result in de Sitter swampland constraints of the same functional form. By analyzing the consequences of quantum breaking, we find that there are implications for the thermal matter component and recover the no eternal inflation bound in the low temperature regime. Additionally, the stronger bound from the dS swampland conjecture can be obtained under reasonable assumptions about the high-temperature regime of string theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Lara B. Anderson, Mathis Gerdes, James Gray, Sven Krippendorf, Nikhil Raghuram, Fabian Ruehle
Summary: Machine learning is utilized to approximate Calabi-Yau and SU(3)-structure metrics, with improvements in accuracy and speed, leading to various applications in effective field theory, string spectrum analysis, and mirror symmetry.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
A. Ashmore, Y-H. He, E. Heyes, B. A. Ovrut
Summary: We present the first numerical calculation of the spectrum of the Laplacian acting on bundle-valued forms on a Calabi-Yau three-fold. Our method is applied to compute the approximate eigenvalues and eigenmodes of the Dolbeault Laplacian on bundle-valued (p, q)-forms on Kahler manifolds, with specific examples of line bundles over complex projective space and Calabi-Yau hypersurfaces. The results show excellent agreement with exact results and provide important insights for computing physical Yukawa couplings in string compactifications.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Cyril Closset, Sakura Schafer-Nameki, Yi-Nan Wang
Summary: This paper mainly discusses the five-dimensional and four-dimensional superconformal field theories arising from canonical threefold singularities in M-theory and Type IIB string theory. It studies their Coulomb and Higgs branches, and proposes a relation between the resulting moduli spaces through compactification, mirror symmetry, and gauging. By applying this framework, it determines the Higgs branches of some 5d SCFTs and their magnetic quivers. Finally, it also computes the higher-form symmetries of the 4d and 5d SCFTs.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Lakshya Bhardwaj, Sakura Schafer-Nameki
Summary: The paper describes general methods for determining higher-form symmetry groups of known 5d and 6d superconformal field theories (SCFTs) and 6d little string theories (LSTs). It delves into the complexity and subtleties arising from the interaction of BPS excitations and gauge group centers in describing the 1-form symmetry of these theories. Furthermore, it discusses ways to determine the 2-form symmetry group of 6d theories using the Green-Schwarz coupling associated with the theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Marieke van Beest, Antoine Bourget, Julius Eckhard, Sakura Schafer-Nameki
Summary: This paper investigates the generation process of 5d SCFTs from 6d SCFTs, including the decoupling of hypermultiplet matter, RG-flow, and the construction of decoupling trees. By using the approach of generalized toric polygons, magnetic quivers and Hasse diagrams of 5d SCFTs are systematically derived, and the Higgs branches of various 5d KK-theories and their descendants are computed.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Max Hubner, Sakura Schafer-Nameki
Summary: This study focuses on confinement in 4d N = 1 theories obtained by deforming 4d N = 2 theories of Class S. The researchers argue that confinement in a vacuum of the N = 1 theory can be encoded in the 1-cycles of the associated N = 1 curve. They reproduce the expected properties of confinement in classic examples and provide tools for probing confinement in non-Lagrangian N = 1 theories.
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Max Hubner, Sakura Schafer-Nameki
Summary: The study identified the 1-form symmetry group for 4d N = 2 class S theories constructed by compactifying 6d theories on a Riemann surface, discussing the construction process and related elements, as well as exploring the possibility of generalizing the results. Additionally, the 1-form symmetry was derived from a Type IIB realization of class S theories to complement the analysis from 6d.
Article
Physics, Particles & Fields
Cyril Closset, Sakura Schafer-Nameki, Yi-Nan Wang
Summary: The paper explores the physics of superconformal field theories arising from isolated hypersurface singularities. It focuses on canonical isolated hypersurface singularities that allow for smooth crepant resolutions. The 5d and 4d physics of these singularities are discussed, and their 3d reduction and mirrors are determined in many cases. The paper also provides a Mathematica code to compute key quantities for any canonical isolated hypersurface singularity.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Fabio Apruzzi, Lakshya Bhardwaj, Dewi S. W. Gould, Sakura Schafer-Nameki
Summary: We investigate the 2-group symmetries in 6d superconformal field theories, which arise from the mixing between the discrete 1-form symmetry and continuous flavor symmetry group. By applying the approach that is applicable more generally, we classify all 6d superconformal field theories with such 2-group symmetries and discuss the dimension-independent aspects of the analysis. We also provide a mathematical code for computing 2-group symmetries once the dimension specific input is provided.
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Sakura Schafer-Nameki, Jingxiang Wu
Summary: By gauging symmetries in quantum field theory, dual symmetries related to topological Wilson line defects can be obtained, forming a larger (d-1) × (d-1)-category. In one particular 2-category, the objects are 2d condensation defects constructed from higher-level gauging.
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
Max Hubner, David Morrison, Sakura Schafer-Nameki, Yinan Wang
Summary: This paper discusses the application of F-theory on non-compact elliptically fibered Calabi-Yau manifolds, realizing higher-form symmetries. The topology of the boundary of the non-compact elliptic fibration and the construction of relative 2-cycles using Lefschetz thimbles are central to this study. The analysis is applied to various elliptic fibrations, including those with intersections between the discriminant of the elliptic fibration and the boundary. The concrete realization of the 1-form symmetry group is achieved by constructing the associated charged line operator from the elliptic fibration, and its application in computing symmetry topological field theories in elliptic three-folds is demonstrated.
Article
Physics, Multidisciplinary
Fabio Apruzzi, Sakura Schafer-Nameki, Lakshya Bhardwaj, Jihwan Oh
Summary: The article discusses the existence and properties of 2-group symmetries in 5-dimensional superconformal field theories. The authors discover 2-group symmetries in 5-dimensional N=1 abelian gauge theories and determine the global forms of 0-form flavor symmetry groups in 5-dimensional SCFTs. The analysis also includes the study of 2-group symmetries in 5-dimensional N=1 non-abelian gauge theories and their relation to mixed 't Hooft anomalies between 1-form and 0-form symmetries.
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Simone Giacomelli, Max Hubner, Sakura Schafer-Nameki
Summary: This paper studies codimension-two defects in 6d N=(2,0) theories, and finds that the line defects living inside these codimension-two defects form a defect group. These relative defects provide boundary conditions for topological defects of the 7d bulk TQFT and play a key role in the construction of 4d N=2 Class S theories.
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki, Apoorv Tiwari
Summary: We propose a procedure to capture general non-invertible symmetries of d-dimensional quantum field theories using the data of a higher-category. This procedure captures the local properties of topological defects associated with the symmetries. We also discuss the fusion of topological defects and explain that the phenomenon of dimension-changing fusions can be understood as higher-morphisms of the higher-category describing the symmetry.
Article
Physics, Multidisciplinary
Michele Del Zotto, Inaki Garcia-Etxebarria, Sakura Schafer-Nameki
Summary: This paper presents a method for determining the 2-group structure from the boundary geometry of M-theory background, and illustrates and confirms the results on 2-groups from geometric engineering in specific backgrounds.
Article
Astronomy & Astrophysics
Fabio Apruzzi, Marieke van Beest, Dewi S. W. Gould, Sakura Schafer-Nameki
Summary: This study focuses on confinement in 4d N = 1 SU(N) Super-Yang Mills theory, with an emphasis on the 1-form symmetry and its relation to chiral symmetry breaking. By examining the topological couplings in the 5d truncation of the Klebanov-Strassler solution, the determination of the 1-form symmetry and its 't Hooft anomalies is identified. The research also reveals an infrared 4d topological field theory that realizes chiral symmetry breaking and matches the mixed anomaly, shedding light on the connection between different symmetries in the theory.
Article
Physics, Particles & Fields
Cyril Closset, Simone Giacomelli, Sakura Schaefer-Nameki, Yi-Nan Wang
Summary: Canonical hypersurface singularities in M-theory and Type IIB string theory lead to 5d and 4d superconformal field theories (SCFTs), respectively. This paper focuses on a specific class of 'trinion' singularities in Type IIB, which give rise to 4d N = 2 SCFTs known as Dpb(G)-trinions. Reducing these 4d and 5d SCFTs to 3d N = 4 theories helps determine their electric and magnetic quivers.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
