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We analyze topological string theory on a two dimensional torus, focusing on symmetries in the matter sector. Even before coupling to gravity, the topological torus has an infinite number of point-like physical observables, which give rise…

High Energy Physics - Theory · Physics 2009-10-22 Petr Horava

Grain boundaries in extremely confined colloidal smectics possess a topological fine structure with coexisting nematic and tetratic symmetry of the director field. An alternative way to approach the problem of smectic topology is via the…

Soft Condensed Matter · Physics 2024-04-24 René Wittmann

String-string duality dictates that type IIA strings compactified on a K3 surface acquire non-abelian gauge groups for certain values of the K3 moduli. We argue that, contrary to expectation, the theories for which such enhanced gauge…

High Energy Physics - Theory · Physics 2009-10-28 Paul S. Aspinwall

In the doubled field theory approach to string theory, the T-duality group is promoted to a manifest symmetry at the expense of replacing ordinary Riemannian geometry with generalised geometry on a doubled space. The local symmetries are…

High Energy Physics - Theory · Physics 2015-05-30 David S. Berman , Hadi Godazgar , Mahdi Godazgar , Malcolm J. Perry

We consider a series of duality transformations that leads to a constant shift in the harmonic functions appearing in the description of a configuration of branes. This way, for several intersections of branes, we can relate the original…

High Energy Physics - Theory · Physics 2015-06-26 Harm Jan Boonstra , Bas Peeters , Kostas Skenderis

The interest in string Hamiltonian system has recently been rekindled due to its application to target-space duality. In this article, we explore another direction it motivates. In Sec.\ 1, conformal symmetry and some algebraic structures…

High Energy Physics - Theory · Physics 2007-05-23 Chien-Hao Liu

We examine several aspects of the formulation of M(atrix)-Theory on ALE spaces. We argue for the existence of massless vector multiplets in the resolved $A_{n-1}$ spaces, as required by enhanced gauge symmetry in M-Theory, and that these…

High Energy Physics - Theory · Physics 2016-08-25 David Berenstein , Richard Corrado , Jacques Distler

We propose a novel string theory propagating in a non-commutative deformation of the four dimensional space T* T^2 whose scattering states correspond to superconformal theories in 5 dimensions and the scattering amplitudes compute…

High Energy Physics - Theory · Physics 2012-09-13 Cumrun Vafa

A string-net model associates a vector space to a surface in terms of graphs decorated by objects and morphisms of a pivotal fusion category modulo local relations. String-net models are usually considered for spherical fusion categories,…

Quantum Algebra · Mathematics 2021-06-23 Ingo Runkel

We propose a novel topological vertex formalism for 5d $\mathcal{N}=1$ SU($N$) gauge theory with a hypermultiplet in the symmetric tensor representation, whose Type IIB brane construction involves an NS5-brane attached to an O7$^+$-plane.…

High Energy Physics - Theory · Physics 2025-11-17 Sung-Soo Kim , Xiaobin Li , Futoshi Yagi , Rui-Dong Zhu

Duality transformations with respect to rotational isometries relate supersymmetric with non-supersymmetric backgrounds in string theory. We find that non-local world-sheet effects have to be taken into account in order to restore…

High Energy Physics - Theory · Physics 2009-10-28 E. Alvarez , L. Alvarez-Gaume , I. Bakas

We study branes and open strings in a large class of orbifolds of a curved background using microscopic techniques of boundary conformal field theory. In particular, we obtain factorizing operator product expansions of open string vertex…

High Energy Physics - Theory · Physics 2014-11-18 Keizo Matsubara , Volker Schomerus , Mikael Smedback

This is the 12th article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories" ed. J. Teschner. This article describes one way to understand an important part of the AGT-correspondence in terms of a triality…

High Energy Physics - Theory · Physics 2014-12-23 Mina Aganagic , Shamil Shakirov

We first review the interpretation of world-sheet defects as $D$ branes described by a critical theory in 11 dimensions, that we interpret as $M$ theory. We then show that $D$-brane recoil induces dynamically an anti-de-Sitter (AdS)…

High Energy Physics - Theory · Physics 2009-09-11 John Ellis , N. E. Mavromatos , D. V. Nanopoulos

We consider M-theory in the presence of M parallel M5-branes probing a transverse A_{N-1} singularity. This leads to a superconformal theory with (1,0) supersymmetry in six dimensions. We compute the supersymmetric partition function of…

High Energy Physics - Theory · Physics 2015-06-17 Babak Haghighat , Can Kozcaz , Guglielmo Lockhart , Cumrun Vafa

We review how core structures of string/M-theory emerge as higher structures in super homotopy theory; namely from systematic analysis of the brane bouquet of universal invariant higher central extensions growing out of the superpoint.…

High Energy Physics - Theory · Physics 2019-06-04 Domenico Fiorenza , Hisham Sati , Urs Schreiber

We embed the supersymmetry breaking mechanism in N=1 SQCD of hep-th/0602239 in a smooth superstring theory using D-branes in the background R^4 \times SL(2)_{k=1}/U(1) which smoothly captures the throat region of an intersecting NS5-brane…

High Energy Physics - Theory · Physics 2008-11-26 Sameer Murthy

The study of topological information of spatial objects has for a long time been a focus of research in disciplines like computational geometry, spatial reasoning, cognitive science, and robotics. While the majority of these researches…

Artificial Intelligence · Computer Science 2015-03-13 Sanjiang Li

We introduce a symmetric monoidal $\infty$-category $\mathrm{GrCob}$ of graph cobordisms between spaces, and use the homology of its morphism spaces to define string operations. Precisely, for an $E_\infty$-ring spectrum $R$ and an oriented…

Algebraic Topology · Mathematics 2025-12-11 Andrea Bianchi

We find the orbifold analog of the topological relation recently found by Freed and Witten which restricts the allowed D-brane configurations of Type II vacua with a topologically non-trivial flat $B$-field. The result relies in Douglas…

High Energy Physics - Theory · Physics 2009-10-31 Jaume Gomis
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