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Discrete global symmetries of 4d $\mathcal{N}=2$ SCFTs are studied via two operations: gauging and twisted compactification. We consider gauging of discrete symmetries in several well-known 4d $\mathcal{N}=2$ SCFTs, including…

High Energy Physics - Theory · Physics 2024-05-22 Simone Giacomelli , William Harding , Noppadol Mekareeya , Alessandro Mininno

We consider an SU(2) gauge theory in six-dimensions. We show that there exists non-trivial structure of gauge vacua in compactified background M4xS2. In this circumstances, there can exist a cosmic string, whose solution is recently…

High Energy Physics - Theory · Physics 2017-12-27 Atsushi Nakamula , Kiyoshi Shiraishi

We present evidence that N=1* SUSY Yang-Mills provides a deconstruction of a six-dimensional gauge theory compactified on a two-sphere. The six-dimensional theory is a twisted compactification of N=(1,1) SUSY Yang-Mills theory of the type…

High Energy Physics - Theory · Physics 2009-11-11 R. P. Andrews , N. Dorey

We demonstrate how recent developments in string field theory provide a framework to systematically study type II flux compactifications with non-trivial Ramond-Ramond profiles. We present an explicit example where physical observables can…

High Energy Physics - Theory · Physics 2024-02-02 Minjae Cho , Manki Kim

We examine six-dimensional quantum field theories through the lens of higher-form global symmetries. Every Yang-Mills gauge theory in six dimensions, with field strength $f^{(2)}$, naturally gives rise to a continuous 1-form global symmetry…

High Energy Physics - Theory · Physics 2021-05-12 Clay Cordova , Thomas T. Dumitrescu , Kenneth Intriligator

In this paper we derive part of the low energy action corresponding to F-theory compactifications on specific eight manifolds with SU(3) structure. The setup we use can actually be reduced to compactification of six-dimensional supergravity…

High Energy Physics - Theory · Physics 2011-12-12 Andrei Micu

An announcement of some results of a longer paper where the supersymmetric vacua of two dimensional N=2 susy gauge theories with matter are shown to be in one-to-one correspondence with the eigenstates of integrable spin chain Hamiltonians.…

High Energy Physics - Theory · Physics 2014-11-18 Nikita A. Nekrasov , Samson L. Shatashvili

In the presence of background Neveu-Schwarz flux, the description of the Ramond-Ramond fields of type IIB string theory using twisted K-theory is not compatible with S-duality. We argue that other possible variants of twisted K-theory would…

High Energy Physics - Theory · Physics 2010-04-05 Igor Kriz , Hisham Sati

The Kauffman bracket skein algebra is a quantization of the algebra of regular functions on the $SL_2$ character variety of a topological surface. We realize the skein algebra of the $4$-punctured sphere as the output of a mirror symmetry…

Geometric Topology · Mathematics 2025-09-30 Pierrick Bousseau

We extend the investigation of the recently introduced class ${\cal S}_k$ of 4d $\mathcal{N}=1$ SCFTs, by considering a large family of quiver gauge theories within it, which we denote $\mathcal{S}^1_k$. These theories admit a realization…

High Energy Physics - Theory · Physics 2015-08-12 Sebastian Franco , Hirotaka Hayashi , Angel Uranga

Certain four-dimensional $N=4$ supersymmetric theories have special vacua in which massive charged vector supermultiplets become massless, resulting in an enhanced non-abelian gauge symmetry. We show here that any two $N=4$ theories having…

High Energy Physics - Theory · Physics 2009-10-28 C. M. Hull , P. K. Townsend

We address the issue of the worldsheet and spacetime covariant formulation for matrix strings. The problem is solved in the limit of vanishing string coupling. To go beyond the g_s = 0 limit, we propose a topological quantum field theory as…

High Energy Physics - Theory · Physics 2015-06-26 Laurent Baulieu , Celine Laroche , Nikita Nekrasov

We describe various approaches that give matrix descriptions of compactified NS five-branes. As a result, we obtain matrix models for Yang-Mills theories with sixteen supersymmetries in dimensions $2,3,4$ and 5. The equivalence of the…

High Energy Physics - Theory · Physics 2010-02-03 Ori J. Ganor , Savdeep Sethi

We consider a class of (orbifolds of) M-theory compactifications on $S^{d} \times T^{7-d}$ with gauge fluxes yielding minimally supersymmetric STU-models in 4D. We present a group-theoretical derivation of the corresponding flux-induced…

High Energy Physics - Theory · Physics 2015-05-20 Ulf Danielsson , Giuseppe Dibitetto

In this note we describe a family of arguments that link the homotopy-type of a) the diffeomorphism group of the disc $D^n$, b) the space of co-dimension one embedded spheres in a sphere and c) the homotopy-type of the space of co-dimension…

Geometric Topology · Mathematics 2024-07-12 Ryan Budney

We study heterotic $E_8\times E_8$ models that are dual to compactifications of F-theory and type IIA string on certain classes of elliptically fibered Calabi-Yau manifolds. Different choices for the specific torus in the fibration have…

High Energy Physics - Theory · Physics 2009-10-09 G. Aldazabal , A. Font , L. E. Ibanez , A. M. Uranga

We study the twisted compactifications of five-dimensional Seiberg SCFTs, with $SU_\mathcal{M}(2)\times E_{N_f+1}$ flavor symmetry, on a generic Riemann surface that preserves four supercharges. The five-dimensional SCFTs are obtained from…

High Energy Physics - Theory · Physics 2019-01-30 Ibrahima Bah , Achilleas Passias , Peter Weck

We consider Dotsenko-Fateev matrix models associated with compactified Calabi-Yau threefolds. They can be constructed with the help of explicit expressions for refined topological vertex, i.e. are directly related to the corresponding…

High Energy Physics - Theory · Physics 2016-05-31 A. Mironov , A. Morozov , Y. Zenkevich

We perform a systematic analysis of generic string flux compactifications, making use of Exceptional Generalized Geometry (EGG) as an organizing principle. In particular, we establish the precise map between fluxes, gaugings of maximal 4d…

High Energy Physics - Theory · Physics 2010-11-23 G. Aldazabal , E. Andres , P. G. Camara , M. Graña

Two-dimensional SU(N) Yang-Mills theory is endowed with a non-trivial vacuum structure (k-sectors). The presence of k-sectors modifies the energy spectrum of the theory and its instanton content, the (Euclidean) space-time being…

High Energy Physics - Theory · Physics 2009-10-31 A. Bassetto , L. Griguolo , F. Vian
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