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In this paper we construct explicit smooth solutions to the Strominger system on generalized Calabi-Gray manifolds, which are compact non-K\"ahler Calabi-Yau 3-folds with infinitely many distinct topological types and sets of Hodge numbers.

Differential Geometry · Mathematics 2021-01-12 Teng Fei , Zhijie Huang , Sebastien Picard

There can exist topological obstructions to continuously deforming a gapped Hamiltonian for free fermions into a trivial form without closing the gap. These topological obstructions are closely related to obstructions to the existence of…

Quantum Physics · Physics 2009-11-13 M. B. Hastings

Research on topological phases of matter is a core field in modern condensed matter physics. Free fermion systems, such as topological insulators and superconductors, have been studied using the "Tenfold Way" and K-theory. Building on…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 Tian Yuan , Yang Qi

We study an orientifold of the solitonic fivebrane of type II string theory. The consideration is restricted to a space-time domain which can be described by an exact conformal field theory. There are no IR divergent contributions to…

High Energy Physics - Theory · Physics 2009-10-30 Stefan Forste , Debashis Ghoshal , Sudhakar Panda

We review efforts in string model building, focusing on the heterotic orbifold compactifications. We survey how one can, starting from an explicit string theory, obtain models which resemble Nature. These models exhibit the standard model…

High Energy Physics - Theory · Physics 2024-01-09 Saul Ramos-Sanchez , Michael Ratz

This article is the PhD thesis of the author. It is focused on Type II compactifications because of the potential for the construction of realistic MSSM-like compactifications. In particular we concentrate in Type IIB Calabi-Yau…

High Energy Physics - Theory · Physics 2012-10-02 Luis Aparicio

We summarize some recent progress in constructing four-dimensional supersymmetric chiral models from Type II orientifolds. We present the construction a supersymmetric Standard-like Model and a supersymmetric GUT model to illustrate the new…

High Energy Physics - Theory · Physics 2017-08-23 Mirjam Cvetic , Gary Shiu , Angel M. Uranga

The exact operator solutions of two-dimensional anomaly-free chiral abelian gauge theories are obtained. We show that anomaly-cancellation conditions arise as consistency requirements of these solutions. For a certain class of flavour…

High Energy Physics - Theory · Physics 2007-05-23 E. Abdalla

In this note we generalize the description of simple current extended Gepner Model orientifolds as presented in hep-th/0401148 to the case of even levels and non-trivial dressings of the parity transformation. We provide a comprehensive…

High Energy Physics - Theory · Physics 2009-11-10 Ralph Blumenhagen , Timo Weigand

Starting from the non-supersymmetric, tachyon-free orientifold of type 0 string theory, we construct four-dimensional brane world models with D6-branes intersecting at angles on internal tori. They support phenomenologically interesting…

High Energy Physics - Theory · Physics 2009-10-07 Ralph Blumenhagen , Boris Kors , Dieter Lust

Some examples of Type-I vacua related to non geometric orbifolds are shown. In particular, the open descendants of the diagonal $Z_3$ orbifold are compared with the geometric ones. Although not chiral, these models exhibit some interesting…

High Energy Physics - Theory · Physics 2017-08-23 Gianfranco Pradisi

The embedding of the SM hypercharge into an orientifold gauge group is studied. Possible embeddings are classified, and a systematic construction of bottom-up configurations and top-down orientifold vacua is achieved, solving the tadpole…

High Energy Physics - Theory · Physics 2008-11-26 P. Anastasopoulos , T. P. T. Dijkstra , E. Kiritsis , A. N. Schellekens

We describe in detail a counterexample to the topological classification of free fermion systems. We deal with a one dimensional chain of Majorana fermions with an unusual T symmetry. The topological invariant for the free fermion…

Strongly Correlated Electrons · Physics 2013-05-29 Lukasz Fidkowski , Alexei Kitaev

We extend the $P$-flux analysis carried out recently on the $T^6/[\mathbb{Z}_2 \times \mathbb{Z}_2 ]$ type-II orientifold model to include all the possible non-geometric fluxes. By deriving universal T-duality rules for all the fluxes, we…

High Energy Physics - Theory · Physics 2018-01-11 Davide M. Lombardo , Fabio Riccioni , Stefano Risoli

We investigate topological properties and classification of mean-field theories of stable bosonic systems. Of the three standard classifying symmetries, only time-reversal represents a real symmetry of the many-boson system, while the other…

Mesoscale and Nanoscale Physics · Physics 2020-09-18 Qiao-Ru Xu , Vincent P. Flynn , Abhijeet Alase , Emilio Cobanera , Lorenza Viola , Gerardo Ortiz

We calculate the tadpole equations and their solutions for a class of four-dimensional orientifolds with orbifold group Z_N X Z_M, and we present the massless bosonic spectra of these models. Surprisingly we find no consistent solutions for…

High Energy Physics - Theory · Physics 2009-10-30 Gysbert Zwart

Multifold fermions, quasiparticles with multiple degeneracy protected by crystalline symmetries, exhibit a variety of intriguing phenomena stemming from their large topological charges and unique band structures. A comprehensive…

Mesoscale and Nanoscale Physics · Physics 2025-11-21 Koki Satow , Ai Yamakage

Compact Type IIB D=4, N=1 orientifolds have certain U(1) sigma model symmetries at the level of the effective Lagrangian. These symmetries are generically anomalous. We study the particular case of $Z_N$ orientifolds and find that these…

High Energy Physics - Theory · Physics 2009-10-09 L. E. Ibanez , R. Rabadan , A. M. Uranga

We analyze the spectrum and properties of a highly-deconstructed Higgsless model with only three sites. Such a model contains sufficient complexity to incorporate interesting physics issues related to fermion masses and electroweak…

The classification of 4D reflexive polytopes by Kreuzer and Skarke allows for a systematic construction of Calabi-Yau hypersurfaces as fine, regular, star triangulations (FRSTs). Until now, the vastness of this geometric landscape remains…

High Energy Physics - Theory · Physics 2022-08-24 Chiara Crinò , Fernando Quevedo , Andreas Schachner , Roberto Valandro
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