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We apply some methods of homology and K-theory to special classes of branes wrapping homologically nontrivial cycles. We treat the classification of four-geometries in terms of compact stabilizers (by analogy with Thurston's classification…

High Energy Physics - Theory · Physics 2009-11-13 Andrey Bytsenko

We study four-dimensional N=1, 2 superconformal theory in class S obtained by compactifying the 6d N=(2, 0) theory on a Riemann surface C with outer-automorphism twist lines. From the pair-of-pants decompositions C we find various dual…

High Energy Physics - Theory · Physics 2017-04-26 Sridip Pal , Jaewon Song

I study a topological string construction of the holographic duality between Kodaira-Spencer gravity on the Calabi-Yau 7-fold $\mathcal{O}(-1)^4\to\mathbb{PT}$ in the presence of a stack of $N$ backreacted D5 branes wrapping twistor space,…

High Energy Physics - Theory · Physics 2025-12-09 Seraphim Jarov

A supersymmetric non-Abelian self-dual gauge theory with the explicit introduction of Kaluza-Klein modes is proposed to give a classical description of multiple M5-branes on $R^5 \times S^1$. The gauge symmetry is parametrized by…

High Energy Physics - Theory · Physics 2015-06-22 Pei-Ming Ho , Yutaka Matsuo

We study 6d superconformal field theories (SCFTs) compactified on a circle with arbitrary twists. The theories obtained after compactification, often referred to as 5d Kaluza-Klein (KK) theories, can be viewed as starting points for RG…

High Energy Physics - Theory · Physics 2021-02-03 Lakshya Bhardwaj , Patrick Jefferson , Hee-Cheol Kim , Houri-Christina Tarazi , Cumrun Vafa

We derive the noncommutative torus compactification of M(atrix) theory directly from the string theory by imposing mixed boundary conditions on the membranes. The relation of various dualities in string theory and M(atrix) theory…

High Energy Physics - Theory · Physics 2007-05-23 F. Ardalan , H. Arfaei , M. M. Sheikh-Jabbari

We formulate a twisted version of the conjectured duality between heterotic and type I string theories. Our formulation relates the chiral part of the heterotic string with a type I topological B-model on a Calabi-Yau five-fold. We provide…

High Energy Physics - Theory · Physics 2021-10-28 Kevin Costello , Brian R. Williams

We construct supergravity solutions dual to twisted field theories that are the worldvolume theories of D4-branes wrapped on 2, 3-cycles, and NS-fivebranes on 3-cycles. We first obtain the solutions for the Romans' six-dimensional gauged…

High Energy Physics - Theory · Physics 2010-02-03 Carlos Nunez , I. Y. Park , Martin Schvellinger , Tuan A. Tran

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

M2 branes probing T-brane backgrounds in M-theory with ADE surface singularities perceive deformations on their worldvolume superpotentials by monopole operators. The dynamics and moduli spaces of the resulting theories can be studied using…

High Energy Physics - Theory · Physics 2017-11-22 Andres Collinucci , Simone Giacomelli , Roberto Valandro

We study the fate of discrete gauge groups and discrete charges of gravitational theories under twisted circle compactification. We then apply our results to six-dimensional F-theory vacua with discrete gauge symmetries and relate them to…

High Energy Physics - Theory · Physics 2025-08-25 David Jaramillo Duque , Amir-Kian Kashani-Poor , Thorsten Schimannek

We construct a novel orientifold of type IIB string theory that breaks all supersymmetries. It is a closed string theory without open sector and it can be understood as a Scherk-Schwarz deformation in which supersymmetry is restored at…

High Energy Physics - Theory · Physics 2024-11-05 Guillaume Bossard , Gabriele Casagrande , Emilian Dudas

We use local mirror symmetry in type IIA string compactifications on Calabi-Yau n+1 folds $X_{n+1}$ to construct vector bundles on (possibly singular) elliptically fibered Calabi-Yau n-folds Z_n. The interpretation of these data as valid…

High Energy Physics - Theory · Physics 2008-11-26 P. Berglund , P. Mayr

We propose new five-dimensional gauge theory descriptions of six-dimensional $\mathcal{N}=(1,0)$ superconformal field theories arising from type IIA brane configurations including an $ON^0$-plane. The new five-dimensional gauge theories may…

High Energy Physics - Theory · Physics 2016-11-01 Hirotaka Hayashi , Sung-Soo Kim , Kimyeong Lee , Masato Taki , Futoshi Yagi

F-theory compactified on singular, elliptically fibered Calabi-Yau five-folds gives rise to two-dimensional gauge theories preserving N=(0,2) supersymmetry. In this paper we initiate the study of such compactifications and determine the…

High Energy Physics - Theory · Physics 2017-01-11 Sakura Schafer-Nameki , Timo Weigand

We argue that T-duality and F-theory appear automatically in the E_8 gauge bundle perspective of M-theory. The 11-dimensional supergravity four-form determines an E_8 bundle. If we compactify on a two-torus, this data specifies an LLE_8…

High Energy Physics - Theory · Physics 2009-11-10 Jarah Evslin

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

We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations…

High Energy Physics - Theory · Physics 2022-01-05 Mirjam Cvetic , Markus Dierigl , Ling Lin , Hao Y. Zhang

In a completely systematic and geometric way, we derive maximal and half-maximal supersymmetric gauged double field theories in lower than ten dimensions. To this end, we apply a simple twisting ansatz to the $D=10$ ungauged maximal and…

High Energy Physics - Theory · Physics 2015-09-01 Wonyoung Cho , J. J. Fernández-Melgarejo , Imtak Jeon , Jeong-Hyuck Park

We generalize recent construction of four-dimensional $\mathcal{N}=1$ SCFT from wrapping six-dimensional $\mathcal{N}=(2,0)$ theory on a Riemann surface to the case of $D$-type with outer-automorphism twists. This construction allows us to…

High Energy Physics - Theory · Physics 2015-06-17 Prarit Agarwal , Jaewon Song