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A fundamental problem in contemporary string/M theory is to count the number of inequivalent vacua satisfying constraints in a string theory model. This article contains the first rigorous results on the number and distribution of…

Mathematical Physics · Physics 2010-12-03 Michael R. Douglas , Bernard Shiffman , Steve Zelditch

We perform a detailed study of (supersymmetric) moduli stabilisation in type IIB toroidal orientifolds with fluxes. We provide strong evidence towards exhaustion of the finite number of inequivalent vacua for a given total 3-form flux…

High Energy Physics - Theory · Physics 2024-09-13 Ignatios Antoniadis , Anthony Guillen , Osmin Lacombe

We review recent progress in embedding the supersymmetric standard model into string theory. We discuss how, with the incorporation of certain aspects of grand unification, a search strategy can be developed that allows to efficiently find…

High Energy Physics - Theory · Physics 2009-02-18 Hans Peter Nilles , Saul Ramos-Sanchez , Michael Ratz , Patrick K. S. Vaudrevange

We suggest that for singular rotationally invariant closed string backgrounds which need sources for their support at the origin (in particular, for special plane waves and fundamental strings) certain `trivial' \a'-corrections (which are…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

In this Thesis we investigate properties of stability, rigidity and unitarity of the string landscape in ten and lower dimensions. The dissertation explores these aspects by intertwining a detailed analysis of string vacua, with and without…

High Energy Physics - Theory · Physics 2024-08-02 Giorgio Leone

We study RR charge cancellation consistency conditions in string compactifications with open string sectors, by introducing D-brane probes in the configuration. We show that uncancelled charges manifest as chiral gauge anomalies in the…

High Energy Physics - Theory · Physics 2009-10-09 A. M. Uranga

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

We investigate the embedding of brane inflation into stable compactifications of string theory. At first sight a warped compactification geometry seems to produce a naturally flat inflaton potential, evading one well-known difficulty of…

High Energy Physics - Theory · Physics 2009-09-29 Shamit Kachru , Renata Kallosh , Andrei Linde , Juan Maldacena , Liam McAllister , Sandip P. Trivedi

We describe a new class of supersymmetric string compactifications to 4d Minkowski space. These solutions involve type II strings propagating on (orientifolds of) non Calabi-Yau spaces in the presence of background NS and RR fluxes. The…

High Energy Physics - Theory · Physics 2009-11-07 Shamit Kachru , Michael B. Schulz , Prasanta K. Tripathy , Sandip P. Trivedi

We show that string duality relates M-theory on a local Calabi-Yau fourfold singularity X4 to type IIA string theory on a Calabi-Yau threefold X3 fibered over a real line, with RR 2-form fluxes turned on. The RR flux encodes how the…

High Energy Physics - Theory · Physics 2010-05-07 Mina Aganagic

We show that the complex cohomologies of Bott, Chern, and Aeppli and the symplectic cohomologies of Tseng and Yau arise in the context of type II string theory. Specifically, they can be used to count a subset of scalar moduli fields in…

High Energy Physics - Theory · Physics 2011-11-30 Li-Sheng Tseng , Shing-Tung Yau

We investigate the correspondence between existence/stability of BPS states in type II string theory compactified on a Calabi-Yau manifold and BPS solutions of four dimensional N=2 supergravity. Some paradoxes emerge, and we propose a…

High Energy Physics - Theory · Physics 2010-11-19 Frederik Denef

These lectures intend to give a pedagogical introduction into some of the developments in string theory during the last years. They include perturbative T-duality and non perturbative S- and U-dualities, their unavoidable demand for…

High Energy Physics - Theory · Physics 2007-05-23 Michael Haack , Boris Kors , Dieter Lust

We initiate the construction of gauge fluxes in F-theory compactifications on genus-one fibrations which only have a multi-section as opposed to a section. F-theory on such spaces gives rise to discrete gauge symmetries in the effective…

High Energy Physics - Theory · Physics 2016-02-17 Ling Lin , Christoph Mayrhofer , Oskar Till , Timo Weigand

The standard extremal p-brane solutions in supergravity are known to allow for a generalisation which consists of adding a linear dependence on the world-volume coordinates to the usual harmonic function. In this note we demonstrate that…

High Energy Physics - Theory · Physics 2018-10-18 J. Blåbäck , B. Janssen , T. Van Riet , B. Vercnocke

We analyze certain brane bound states in M-theory and their descendants in type IIA string theory, all involving 3-form or 2-form background fluxes. Among them are configurations which represent NCYM, NCOS and ODp-theories in the scaling…

High Energy Physics - Theory · Physics 2016-10-26 Boris Kors , Dieter Lust , Andre Miemiec

We study a recently proposed model, where a codimension one brane is wrapped around the axis of symmetry of an internal two dimensional space compactified by a flux. This construction is free from the problems which plague delta-like,…

High Energy Physics - Theory · Physics 2008-11-26 Burak Himmetoglu , Marco Peloso

In these lectures we review Generalized Complex Geometry and discuss two main applications to string theory: the description of supersymmetric flux compactifications and the supersymmetric embedding of D-branes. We start by reviewing…

High Energy Physics - Theory · Physics 2011-02-18 Paul Koerber

We revisit flux compactifications of type IIB string theory on `spaces' dual to rigid Calabi-Yau manifolds. This rather unexplored part of the string landscapes harbors many interesting four-dimensional solutions, namely supersymmetric…

High Energy Physics - Theory · Physics 2022-07-13 Jacob Bardzell , Eduardo Gonzalo , Muthusamy Rajaguru , Danielle Smith , Timm Wrase

We study the vacuum structure of compactifications of type II string theories on orientifolds with SU(3)xSU(3) structure. We argue that generalised geometry enables us to treat these non-geometric compactifications using a supergravity…

High Energy Physics - Theory · Physics 2010-10-27 Andrei Micu , Eran Palti , Gianmassimo Tasinato