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We give an introductory review of topological strings and their application to various aspects of superstrings and supersymmetric gauge theories. This review includes developing the necessary mathematical background for topological strings,…

High Energy Physics - Theory · Physics 2007-05-23 Andrew Neitzke , Cumrun Vafa

We study quantum effects in five dimensions in heterotic superstring theory compactified on K_3 x S_1 and analyze the conjecture that its dual effective theory is eleven-dimensional supergravity compactified on a Calabi-Yau threefold. This…

High Energy Physics - Theory · Physics 2011-05-05 I. Antoniadis , S. Ferrara , T. R. Taylor

In this paper we show that a particular twist of $\mathcal{N}=4$ super Yang-Mills in three dimensions with gauge group SU(2) possesses a set of classical vacua corresponding to the space of flat connections of the {\it complexified} gauge…

High Energy Physics - Lattice · Physics 2017-09-07 Simon Catterall

We investigate how topological entanglement of Chern-Simons theory is captured in a string theoretic realization. Our explorations are motivated by a desire to understand how quantum entanglement of low energy open string degrees of freedom…

High Energy Physics - Theory · Physics 2020-01-08 Veronika E. Hubeny , Roji Pius , Mukund Rangamani

We first construct a consistent Kaluza-Klein reduction ansatz for type IIB theory compactified on Sasaki-Einstein manifolds Y^{p,q} with Freund-Rubin 5-form flux giving rise to minimal N=2 gauged supergravity in five dimensions. We then…

High Energy Physics - Theory · Physics 2008-11-26 Alex Buchel , James T. Liu

We show how enhanced gauge symmetry in type II string theory compactified on a Calabi--Yau threefold arises from singularities in the geometry of the target space. When the target space of the type IIA string acquires a genus $g$ curve $C$…

High Energy Physics - Theory · Physics 2011-10-11 Sheldon Katz , David R. Morrison , M. Ronen Plesser

We construct invertible field theories generalizing abelian prequantum spin Chern-Simons theory to manifolds of dimension 4k+3 endowed with a Wu structure of degree 2k+2. After analysing the anomalies of a certain discrete symmetry, we…

Mathematical Physics · Physics 2018-08-13 Samuel Monnier

We study the mechanism of topological mass-generation for 3d Chern-Simons gauge theories and propose a brand-new Topological Equivalence Theorem to connect scattering amplitudes of the physical gauge boson states to that of the transverse…

High Energy Physics - Theory · Physics 2024-06-21 Yan-Feng Hang , Hong-Jian He , Cong Shen

Superstring theories are the most promising theories for unified description of all fundamental interactions including gravity. However, these theories are formulated consistently only in 10 spacetime dimensions. Therefore, to connect to…

High Energy Physics - Theory · Physics 2016-09-16 Sibasish Banerjee

The double field theory action in the flux formulation is dimensionally reduced on a Calabi-Yau three-fold equipped with non-vanishing type IIB geometric and non-geometric fluxes. First, we rewrite the metric-dependent reduced DFT action in…

High Energy Physics - Theory · Physics 2016-01-06 Ralph Blumenhagen , Anamaria Font , Erik Plauschinn

Type II string theory compactified on a Calabi-Yau manifold, with a singularity modeled by a hypersurface in an orbifold, is considered. In the limit of vanishing string coupling, one expects a non gravitational theory concentrated at the…

High Energy Physics - Theory · Physics 2010-02-03 Oskar Pelc

We consider two-dimensional supergravity theories with four supercharges constructed from compactification of Type II string theory on a generic Calabi-Yau four-fold. In Type IIA and Type IIB cases, respectively, new superspace formulations…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Sergei Gukov , Edward Witten

We include a Chern-Simons term in a GL(3,R) gauge formulation of gravity with a cosmological contribution in 2+1 dimension and we explore consistence showing that excitations must be causal and standard topological massive gravity is…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Rolando Gaitan

We study a class of extremal transitions between topological distinct Calabi--Yau manifolds which have an interpretation in terms of the special massless states of a type II string compactification. In those cases where a dual heterotic…

High Energy Physics - Theory · Physics 2009-10-30 A. Klemm , P. Mayr

Compactifications of M-theory on singular manifolds contain additional charged massless states descending from M-branes wrapped on vanishing cycles. We construct the first explicit example of a complete supergravity Lagrangian that includes…

High Energy Physics - Theory · Physics 2010-11-19 Thomas Mohaupt , Marco Zagermann

In this note we present a brief overview of connections between Chern-Simons theory and topological strings. A prominent role in this link has been played by large N dualities and holography. We demystify this by explaining why the Kahler…

Algebraic Geometry · Mathematics 2025-05-16 Cumrun Vafa

We discuss gauge theory with a topological N=2 symmetry. This theory captures the de Rham complex and Riemannian geometry of some underlying moduli space $\cal M$ and the partition function equals the Euler number of $\cal M$. We explicitly…

High Energy Physics - Theory · Physics 2016-03-23 Matthias Blau , George Thompson

We obtain the bosonic Lagrangians of vector and hypermultiplets coupled to four-dimensional $\mathcal{N}=2$ supergravity in signatures $(0,4)$, $(1,3)$ and (2,2) by compactification of type-II string theories in signatures (0,10), (1,9) and…

High Energy Physics - Theory · Physics 2022-02-23 M. Medevielle , T. Mohaupt , G. Pope

F-theory compactifications on elliptically fibered Calabi--Yau threefolds yield consistent six-dimensional $\mathcal{N}=(1,0)$ supergravity theories, for which the cancellation of gravitational, gauge and mixed anomalies imposes non-trivial…

High Energy Physics - Theory · Physics 2025-12-23 Cesar Fierro Cota

We introduce a new class of gauge field theories in any complex dimension, based on algebra-valued (p,q)-forms on complex n-manifolds. These theories are holomorphic analogs of the well-known Chern-Simons and BF topological theories defined…

High Energy Physics - Theory · Physics 2009-10-31 Alexander D. Popov