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A precise correspondence between freely-acting orbifolds (Scherk-Schwarz compactifications) and string vacua with NSNS flux turned on is established using T-duality. We focus our attention to a certain non-compact Z_2 heterotic…

High Energy Physics - Theory · Physics 2009-11-10 M. Serone , M. Trapletti

We construct new families of interpolating two-parameter solutions of type IIB supergravity. These correspond to D3-D5 systems on non-compact six-dimensional manifolds which are T^2 fibrations over Eguchi-Hanson and multi-center Taub-NUT…

High Energy Physics - Theory · Physics 2014-11-20 Ruben Minasian , Michela Petrini , Alberto Zaffaroni

For each natural number n, we construct an example of a graph manifold supporting at least n different Anosov flows that are not orbit equivalent. Our construction is reminiscent of the Thurston-Handel construction: we cut a geodesic flow…

Dynamical Systems · Mathematics 2021-03-23 Adam Clay , Tali Pinsky

In this paper, we use orbifold methods to construct nongeometric backgrounds, and argue that they correspond to the spacetimes discussed in \cite{dh,wwf}. More precisely, we make explicit through several examples the connection between…

High Energy Physics - Theory · Physics 2009-11-11 Alex Flournoy , Brook Williams

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

This review provides an introduction to non-geometric backgrounds in string theory. Starting from a discussion of T-duality, geometric and non-geometric torus-fibrations are reviewed, generalised geometry and its relation to non-geometric…

High Energy Physics - Theory · Physics 2019-04-17 Erik Plauschinn

We study deformations of the A-model in the presence of fluxes, by which we mean rank-three tensors with antisymmetrized upper/lower indices, using the AKSZ construction. Generically these are topological membrane models, and we show that…

High Energy Physics - Theory · Physics 2014-11-18 Vid Stojevic

We study type IIB string compactifications in the presence of RR and NSNS fluxes using worldsheet techniques. Vertex operators corresponding to internal RR and NSNS fluxes are constructed in the hybrid formalism with manifest target space…

High Energy Physics - Theory · Physics 2009-12-04 William D. Linch , Jock McOrist , Brenno Carlini Vallilo

We elucidate the structure of D terms in N=1 orientifold compactifications with fluxes. As a case study, we consider a simple orbifold of the type-IIA theory with D6-branes at angles, O6-planes and general NSNS, RR and Scherk-Schwarz…

High Energy Physics - Theory · Physics 2009-11-11 Giovanni Villadoro , Fabio Zwirner

We introduce a new class of non-compact backgrounds of Type IIB string theory preserving eight supercharges by combining S-folds and non-perturbative 7-branes wrapping orbifolds, and study the four-dimensional superconformal field theories…

High Energy Physics - Theory · Physics 2024-11-13 Simone Giacomelli , Raffaele Savelli , Gianluca Zoccarato

Branes in non-trivial backgrounds are expected to exhibit interesting dynamical properties. We use the boundary conformal field theory approach to study branes in a curved background with non-vanishing Neveu-Schwarz 3-form field strength.…

High Energy Physics - Theory · Physics 2010-02-03 A. Yu. Alekseev , A. Recknagel , V. Schomerus

We construct new monomorphisms between mapping class groups of surfaces. The first family of examples injects the mapping class group of a closed surface into that of a different closed surface. The second family of examples are defined on…

Geometric Topology · Mathematics 2014-11-11 Javier Aramayona , Christopher J. Leininger , Juan Souto

We construct several families of embeddings of braid groups into mapping class groups of orientable and non-orientable surfaces and prove that they induce the trivial map in stable homology in the orientable case, but not so in the…

Algebraic Topology · Mathematics 2012-04-20 Carl-Friedrich Bödigheimer , Ulrike Tillmann

We study collective T-duality transformations along one, two and three directions of isometry for the three-sphere with H-flux. Our aim is to obtain new non-geometric backgrounds along lines similar to the example of the three-torus.…

High Energy Physics - Theory · Physics 2015-03-26 Erik Plauschinn

The cylinder diagrams that determine the static interactions between pairs of Dp-branes in the type IIB plane wave background are evaluated. The resulting expressions are elegant generalizations of the flat-space formulae that depend on the…

High Energy Physics - Theory · Physics 2016-09-06 Oren Bergman , Matthias R. Gaberdiel , Michael B. Green

Starting from a higher Courant bracket associated to exceptional generalized geometry, we provide a systematic derivation of all types of fluxes and their Bianchi identities for four-dimensional compactifications of M-theory. We show that…

High Energy Physics - Theory · Physics 2019-06-05 Athanasios Chatzistavrakidis , Larisa Jonke , Dieter Lust , Richard J. Szabo

For each nonnegative integer m we show that any closed, oriented topological four-manifold with fundamental group Z_{4m+2} and odd intersection form, with possibly seven exceptions, either admits no smooth structure or admits infinitely…

Geometric Topology · Mathematics 2024-06-14 R. Inanc Baykur , Andras I. Stipsicz , Zoltan Szabo

We consider topological twists of four-dimensional $\mathcal{N}=2$ supersymmetric QCD with gauge group SU(2) and $N_f\leq 3$ fundamental hypermultiplets. The twists are labelled by a choice of background fluxes for the flavour group, which…

High Energy Physics - Theory · Physics 2023-12-21 Johannes Aspman , Elias Furrer , Jan Manschot

We study D-branes on three-dimensional orbifold backgrounds that admit topologically distinct resolutions differing by flop transitions. We show that these distinct phases are part of the vacuum moduli space of the super Yang-Mills gauge…

High Energy Physics - Theory · Physics 2009-10-30 Brian R. Greene

We characterize the geometric moduli of non-Kaehler manifolds with torsion. Heterotic supersymmetric flux compactifications require that the six-dimensional internal manifold be balanced, the gauge bundle be hermitian Yang-Mills, and also…

High Energy Physics - Theory · Physics 2008-11-26 Melanie Becker , Li-Sheng Tseng , Shing-Tung Yau
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