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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
Jock McOrist, Eirik Eik Svanes
Summary: In this paper, it is demonstrated that the large radius-compactified massless spectrum of heterotic string theory can be described by equations splitting into 'F-terms' and 'D-terms'. The authors construct operators that represent deformations satisfying the 'F-term' equations and 'D-term' equations, respectively. It is conjectured that studying the corresponding cohomology of heterotic theories can provide a better understanding of the moduli space.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Magdalena Larfors, Davide Passaro, Robin Schneider
Summary: The systematic program of heterotic line bundle model building has produced a wealth of standard-like models (SLM) for particle physics. Continuing this work in the setting of generalised Complete Intersection Calabi Yau (gCICY) manifolds, the study identifies two geometries suitable for heterotic GUT models. These gCICYs have freely acting Z(2) symmetry groups, enabling Wilson line breaking of the GUT gauge group to that of the standard model. Additionally, a systematic scan over line bundle sums over these geometries resulted in 99 and 33 SLMs, respectively, comparable to homotopically equivalent Complete Intersection Calabi Yau manifolds.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
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
A. E. Faraggi, S. Groot Nibbelink, M. Hurtado Heredia
Summary: This article examines the uniqueness issue of certain toroidal orbifold resolutions and proposes a method using parameterization to track the triangulations of resolved singularities, thus determining the intersection numbers and Chern classes of different triangulation configurations. By overlaying the Bianchi identities, stronger conditions are obtained, allowing for flop transitions between different triangulations.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
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
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
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
Luca Martucci, Nicolo Risso, Timo Weigand
Summary: We propose quantum gravitational constraints on effective four-dimensional theories with N = 1 supersymmetry. These constraints arise from the Completeness Conjecture of quantum gravity and impose bounds on the axionic couplings and gauge sector rank in the theory. Concrete string theoretic settings are used to test and further motivate these bounds. The article also provides a detailed derivation of the EFT string constraints in heterotic string compactifications and applies these bounds to M-theory compactifications on G(2) manifolds.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
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, Multidisciplinary
David Kutasov, Travis Maxfield, Ilarion Melnikov, Savdeep Sethi
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(2016)
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(2017)
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Ilarion V. Melnikov, Ruben Minasian, Savdeep Sethi
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(2013)
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(2013)
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(2014)
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Physics, Particles & Fields
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JOURNAL OF HIGH ENERGY PHYSICS
(2014)
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Joao Caldeira, Travis Maxfield, Savdeep Sethi
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(2018)
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(2018)
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(2019)
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