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The weakly coupled vacuum of $E_8\otimes E_8$ heterotic string theory remains an attractive scenario for particle physics. The particle spectrum and the issue of dilaton stabilization are reviewed. A specific model for hidden sector…

High Energy Physics - Phenomenology · Physics 2015-06-25 Mary K. Gaillard

We propose a new guiding principle for phenomenology: special geometry in the vacuum space. New algorithmic methods which efficiently compute geometric properties of the vacuum space of N=1 supersymmetric gauge theories are described. We…

High Energy Physics - Theory · Physics 2010-04-05 James Gray , Yang-Hui He , Vishnu Jejjala , Brent D. Nelson

We demonstrate that the problems of finding stable or metastable vacua in a low energy effective field theory requires solving nested NP-hard and co-NP-hard problems, while the problem of finding near-vacua is in P. Multiple problems…

High Energy Physics - Theory · Physics 2019-10-24 James Halverson , Fabian Ruehle

A strong-weak coupling duality symmetry of the string equations of motion has been suggested in the literature. This symmetry implies that vacua occur in pairs. Since the coupling constant is a dynamical variable in string theory, tunneling…

High Energy Physics - Theory · Physics 2011-06-10 J. D. Cohn , Vipul Periwal

We discuss the role of approximate U(1)_R symmetries for the understanding of hierarchies in Nature. Such symmetries may explain a suppressed expectation value of the superpotential and provide us with a solution to the MSSM mu problem. We…

High Energy Physics - Theory · Physics 2010-04-30 Felix Brummer , Rolf Kappl , Michael Ratz , Kai Schmidt-Hoberg

Making use of the wealth of new observational data coming from the sky it is possible to constrain particle physics theories beyond the Standard Model. One way to do this is illustrated in this article: a subset of theories admits cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-21 Robert H. Brandenberger

This is a review. Comments are welcome. The observation that the structure of string theory is rich enough to include the standard model in rough outline is an old one, starting with the early constructions of free field constructions,…

High Energy Physics - Theory · Physics 2008-10-13 Rolf Schimmrigk

The r\^ole of string loop corrections on the existence of de Sitter vacua and the moduli stabilization problem is examined in type IIB effective theories. The fundamental building blocks are a minimum of three intersecting D7 brane stacks,…

High Energy Physics - Theory · Physics 2022-11-21 Vasileios Basiouris , George K. Leontaris

The moduli space of the maximally supersymmetric heterotic string in d-dimensional Minkowski space contains various components characterized by the rank of the gauge symmetries of the vacua they parametrize. We develop an approach for…

High Energy Physics - Theory · Physics 2020-06-16 Hervé Partouche , Balthazar de Vaulchier

We review several topics of interest in the study of 4d N=1 supersymmetric compactifications of the heterotic string. After a brief introduction to the construction of such models, our focus is on the novel physics which occurs at…

High Energy Physics - Theory · Physics 2009-10-30 Shamit Kachru

In this paper we construct a special geometry over the moduli space of type II string vacua with both NS and RR fluxes turning on. Depending on what fluxes are turning on we divide into three cases of moduli space of generalized structures.…

High Energy Physics - Theory · Physics 2008-06-23 Boyu Hou , Sen Hu , Yanhong Yang

The holomorphy of the superpotential along with symmetries gives very strong constraints on any stringy non-perturbative effects. This observation suggests an approach to string phenomenology. (Presented at ``Strings 95'', March 1995.

High Energy Physics - Theory · Physics 2007-05-23 Michael Dine

An approach towards a statistical survey of four dimensional supersymmetric vacua in the string theory landscape is described and illustrated with three examples of ensembles of intersecting D-brane models. The question whether it is…

High Energy Physics - Theory · Physics 2008-11-26 Florian Gmeiner

We investigate in detail solutions of supergravity that involve warped products of flat geometries of the type M(p+1) x R x T(D-p-2) depending on a single coordinate. In the absence of fluxes, the solutions include flat space and…

High Energy Physics - Theory · Physics 2022-01-05 J. Mourad , A. Sagnotti

We briefly review attempts to construct string theories that yield the standard model, concentrating on models with a geometric interpretation. Calabi-Yau compactifications are discussed in the context of both the weakly coupled heterotic…

High Energy Physics - Theory · Physics 2007-05-23 D. Bailin , G. V. Kraniotis , A. Love

In this paper we analyze the structure of supersymmetric vacua in compactifications of the heterotic string on certain manifolds with SU(3) structure. We first study the effective theories obtained from compactifications on half-flat…

High Energy Physics - Theory · Physics 2010-12-03 Beatriz de Carlos , Sebastien Gurrieri , Andre Lukas , Andrei Micu

The statistics of the supersymmetry breaking scale in the string landscape has been extensively studied in the past finding either a power-law behaviour induced by uniform distributions of F-terms or a logarithmic distribution motivated by…

High Energy Physics - Theory · Physics 2020-10-28 Igor Broeckel , Michele Cicoli , Anshuman Maharana , Kajal Singh , Kuver Sinha

In string theory the coupling ``constants'' appearing in the low-energy effective Lagrangian are determined by the vacuum expectation values of some (a priori) massless scalar fields (dilaton, moduli). This naturally leads one to expect a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thibault Damour

We discuss the duality between two type I compactifications to four dimensions and an heterotic construction with spontaneous breaking of the N=4 supersymmetry to N=2. This duality allows us to gain insight into the non-perturbative…

High Energy Physics - Theory · Physics 2007-05-23 Andrea Gregori

We continue the study of the distribution of nonsupersymmetric flux vacua in IIb string theory compactified on Calabi-Yau manifolds, as in hep-th/0404116. We show that the basic structure of this problem is that of finding eigenvectors of…

High Energy Physics - Theory · Physics 2010-02-03 Frederik Denef , Michael R. Douglas
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