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The cycle-preserving symmetries for the nine two-dimensional real spaces of constant curvature are collectively obtained within a Cayley-Klein framework. This approach affords a unified and global study of the conformal structure of the…

Mathematical Physics · Physics 2019-07-19 Francisco J. Herranz , Mariano Santander

We clarify the structure of Yukawa couplings and mass matrices for matter fields in heterotic string theory on smooth Calabi-Yau threefolds with standard embedding. The topological structure of Calabi-Yau threefolds leads to interesting…

High Energy Physics - Theory · Physics 2026-03-03 Jun Dong , Tatsuo Kobayashi , Shuhei Miyamoto , Hajime Otsuka

We analyse several explicit toric examples of compact K3-fibred Calabi-Yau three-folds which can be used for the study of string dualities and are crucial ingredients for the construction of LARGE Volume type IIB vacua with promising…

High Energy Physics - Theory · Physics 2012-08-28 Michele Cicoli , Maximilian Kreuzer , Christoph Mayrhofer

We construct a four-dimensional consistent truncation to the bosonic part of the universal sector of Calabi-Yau IIA compactification (i.e. the gravity multiplet, one vectormultiplet, and one hypermultiplet) in the presence of background…

High Energy Physics - Theory · Physics 2019-09-26 Robin Terrisse , Dimitrios Tsimpis

Vacuum compactifications may suffer from instabilities under small perturbations or tunnel effects; both are difficult to analyze. In this paper we consider the issue from a higher-dimensional perspective. We first look at how stability…

High Energy Physics - Theory · Physics 2022-04-13 Suvendu Giri , Luca Martucci , Alessandro Tomasiello

We study the possibility of obtaining metastable de Sitter vacua of heterotic string theory compactified on a Calabi-Yau threefold which are classical and simple in the K\"ahler moduli sector of the theory. For this, we exploit a known…

High Energy Physics - Theory · Physics 2013-05-08 Dirk Rathlev

In this paper we initiate a broad study of some central properties of the string axiverse arising from Calabi-Yau compactifications of the perturbative heterotic $E_8\times E_8$ theory. Along this road toward a heterotic axiverse, we…

High Energy Physics - Theory · Physics 2025-09-05 Jacob M. Leedom , Margherita Putti , Alexander Westphal

We study string loop corrections to the gravity kinetic terms in type IIB compactifications on Calabi-Yau threefolds or their orbifold limits, in the presence of $D7$-branes and orientifold planes. We show that they exhibit in general a…

High Energy Physics - Theory · Physics 2020-01-29 Ignatios Antoniadis , Yifan Chen , George K. Leontaris

We investigate orbifold and smooth Calabi-Yau compactifications of the non-supersymmetric heterotic SO(16)xSO(16) string. We focus on such Calabi-Yau backgrounds in order to recycle commonly employed techniques, like index theorems and…

High Energy Physics - Theory · Physics 2015-06-22 Michael Blaszczyk , Stefan Groot Nibbelink , Orestis Loukas , Saul Ramos-Sanchez

This thesis primarily dives into investigating the details of four-dimensional vacua within String Theory using the AdS/CFT correspondence. In the first and second part of the thesis, we study the fibred Calabi-Yau and M-theory moduli…

High Energy Physics - Theory · Physics 2025-12-15 Sirui Ning

We discuss mirror symmetry in generalized Calabi-Yau compactifications of type II string theories with background NS fluxes. Starting from type IIB compactified on Calabi-Yau threefolds with NS three-form flux we show that the mirror type…

High Energy Physics - Theory · Physics 2014-11-18 Sebastien Gurrieri , Jan Louis , Andrei Micu , Daniel Waldram

We review recent attempts to try to combine global issues of string compactifications, like moduli stabilisation, with local issues, like semi-realistic D-brane constructions. We list the main problems encountered, and outline a possible…

High Energy Physics - Theory · Physics 2012-09-18 Michele Cicoli

It is pointed out that there exist a few problems to be overcome toward an observable sub-eV QCD axion in superstring compactification. We give a general expression for the axion decay constant. For a large domain wall number $N_{DW}$, the…

High Energy Physics - Phenomenology · Physics 2010-10-27 Kang-Sin Choi , Ian-Woo Kim , Jihn E. Kim

In recent work, we conjectured that Calabi-Yau threefolds defined over $\mathbb{Q}$ and admitting a supersymmetric flux compactification are modular, and associated to (the Tate twists of) weight-two cuspidal Hecke eigenforms. In this work,…

High Energy Physics - Theory · Physics 2020-10-20 Shamit Kachru , Richard Nally , Wenzhe Yang

The structure of stringy quantum corrections to four-dimensional effective theories is particularly interesting for string phenomenology and attempts to stabilize moduli. We consider the heterotic string compactified on a Calabi-Yau space.…

High Energy Physics - Theory · Physics 2014-12-19 Lilia Anguelova , Callum Quigley , Savdeep Sethi

We perform a detailed analysis of the phenomenological properties of hidden Abelian gauge bosons with a kinetic mixing with the ordinary photon within type IIB flux compactifications. We study the interplay between moduli stabilisation and…

High Energy Physics - Theory · Physics 2015-05-27 Michele Cicoli , Mark Goodsell , Joerg Jaeckel , Andreas Ringwald

We study a four-dimensional effective theory of the five-dimensional (5D) gauged supergravity with a universal hypermultiplet and perturbative superpotential terms at the orbifold fixed points. Among eight independent isometries of the…

High Energy Physics - Theory · Physics 2008-11-26 Hiroyuki Abe , Yutaka Sakamura

We analyze D = 4 compactifications of Type IIB theory with generic, geometric and non-geometric, dual fluxes turned on. In particular, we study N = 1 toroidal orbifold compactifications that admit an embedding of the untwisted sector into…

High Energy Physics - Theory · Physics 2015-05-27 Gerardo Aldazabal , Diego Marques , Carmen A. Nunez , Jose A. Rosabal

In this work, we provide evidence for a duality between 4-dimensional Calabi-Yau compactifications of the heterotic string, in which the base manifolds are linked by a conifold transition. In recent work, a geometric proposal was put…

High Energy Physics - Theory · Physics 2025-12-23 Lara B. Anderson , James Gray , Sunit A. Patil , Caoimhín Scanlon

Type II orientifolds based on Landau-Ginzburg models are used to describe moduli stabilization for flux compactifications of type II theories from the world-sheet CFT point of view. We show that for certain types of type IIB orientifolds…

High Energy Physics - Theory · Physics 2008-11-26 Katrin Becker , Melanie Becker , Cumrun Vafa , Johannes Walcher