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Related papers: Surface Operators in Abelian Gauge Theory

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We construct a new class of supersymmetric surface operators in N=4 SYM and find the corresponding dual supergravity solutions. We show that the insertion of the surface operator - which is given by a WZW model supported on the surface -…

High Energy Physics - Theory · Physics 2008-11-26 Evgeny I. Buchbinder , Jaume Gomis , Filippo Passerini

We study twisted N=2 superconformal gauge theory on a product of two Riemann surfaces Sigma and C. The twisted theory is topological along C and holomorphic along Sigma and does not depend on the gauge coupling or theta-angle. Upon…

High Energy Physics - Theory · Physics 2007-05-23 Anton Kapustin

We examine two types of half-BPS surface defects $-$ regular monodromy surface defect and canonical surface defect $-$ in four-dimensional gauge theory with $\mathcal{N}=2$ supersymmetry and…

High Energy Physics - Theory · Physics 2026-04-02 Saebyeok Jeong , Norton Lee , Nikita Nekrasov

The paper concerns a problem of the Dirac fermion doublet in the external monopole potential obtained by embedding the Abelian monopole solution in the non-Abelian scheme. In this case, the doublet-monopole Hamiltonian is invariant under…

Quantum Physics · Physics 2007-05-23 V. M. Red'kov

We study an extension of the procedure to construct duality transformations among abelian gauge theories to the non abelian case using a path space formulation. We define a pre-dual functional in path space and introduce a particular non…

High Energy Physics - Theory · Physics 2009-10-31 Isbelia Martin

We revisit the role of loop and surface operators as order parameters for gapped phases of four-dimensional gauge theories. We show that in some cases surface operators are confined, and that this fact can be used to distinguish phases…

High Energy Physics - Theory · Physics 2013-08-16 Sergei Gukov , Anton Kapustin

To explore color/kinematics duality for general representations of the gauge group we formulate the duality for general abelian orbifolds of the SU(N), N=4 super Yang-Mills theory in four dimensions, which have fields in the bi-fundamental…

High Energy Physics - Theory · Physics 2015-06-17 Marco Chiodaroli , Qingjun Jin , Radu Roiban

We study certain higher-spin chiral operators in N=2 superconformal field theories (SCFTs). In Lagrangian theories, or in theories related to Lagrangian theories by generalized Argyres-Seiberg-Gaiotto duality ("type A" theories in our…

High Energy Physics - Theory · Physics 2015-06-22 Matthew Buican , Takahiro Nishinaka , Constantinos Papageorgakis

We study the dual descriptions recently discovered for the Seiberg-Witten theory in the presence of surface operators. The Nekrasov partition function for a four-dimensional N=2 gauge theory with a surface operator is believed equal to the…

High Energy Physics - Theory · Physics 2014-11-21 Kazunobu Maruyoshi , Masato Taki

For $N\!=\!2$ SUSY theories with non-vanishing $\beta$-function and one-dimensional quantum moduli, we study the representation on the special coordinates of the group of motions on the quantum moduli defined by…

High Energy Physics - Theory · Physics 2009-10-28 C. Gomez , E. Lopez

The local covariant continuum action of an SU(2) gauge theory in covariant Abelian gauges is investigated. It describes the critical limit of an Abelian Lattice Gauge Theory (LGT) with an equivariant BRST-symmetry. This Abelian LGT has…

High Energy Physics - Theory · Physics 2007-05-23 Martin Schaden

The coset Sp(2,R)/U(1) is parametrized by two real scalar fields. We generalize the formalism of auxiliary tensor (bispinor) fields in U(1) self-dual nonlinear models of abelian gauge fields to the case of Sp(2,R) self-duality. In this new…

High Energy Physics - Theory · Physics 2014-12-19 Evgeny A. Ivanov , Olaf Lechtenfeld , Boris M. Zupnik

Following a suggestion by Vafa, we present a quantum-mechanical model for S-duality symmetries observed in the quantum theories of fields, strings and branes. Our formalism may be understood as the topological limit of Berezin's metric…

High Energy Physics - Theory · Physics 2009-10-31 J. M. Isidro

SL(2,Z) duality transformations in asymptotically AdS4 x S^7 act non-trivially on the three-dimensional SCFT of coincident M2-branes on the boundary. We show how S-duality acts away from the IR fixed point. We develop a systematic method to…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian de Haro , Peng Gao

We show that a non-abelian global $SU(2)_R$ acting on the quartic part of the two Higgs Doublet Model leads, at tree-level, to an automatic alignment without decoupling. An example of phenomenologically viable model with this feature is the…

High Energy Physics - Phenomenology · Physics 2019-05-28 Karim Benakli , Yifan Chen , Gaëtan Lafforgue-Marmet

Scaffolds are certain tensors arising in the study of association schemes, and have been (implicitly) understood diagrammatically as digraphs with distinguished "root" nodes and with matrix edge weights, often taken from Bose-Mesner…

Combinatorics · Mathematics 2022-01-05 Xiaoye Liang , Ying-Ying Tan , Hajime Tanaka , Tao Wang

Consider an elliptic self-adjoint pseudodifferential operator $A$ acting on $m$-columns of half-densities on a closed manifold $M$, whose principal symbol is assumed to have simple eigenvalues. We show existence and uniqueness of $m$…

Analysis of PDEs · Mathematics 2022-02-09 Matteo Capoferri , Dmitri Vassiliev

A non-abelian ``self-dual'' massive gauge theory describing a massive spin one physical mode is presented. The action is expressed in terms of two independent connections on a principle bundle over $2+1$ space-time. The kinetic terms are…

High Energy Physics - Theory · Physics 2014-11-18 P. J. Ariasa , L. Leal , A. Restuccia

It has been found that surface operators have a significant role in AGT relation. This duality is an outstanding consequence of M-theory, but it is actually encoded into the brane web for which the topological string can work. From this…

High Energy Physics - Theory · Physics 2017-01-25 Hironori Mori , Yuji Sugimoto

It is shown that the super Higgs mechanism that occurs in a wide class of models with vanishing cosmological constant (at the classical level) is obtained by the gauging of a flat group which must be an electric subgroup of the duality…

High Energy Physics - Theory · Physics 2015-06-26 L. Andrianopoli , R. D'Auria , S. Ferrara , M. A. Lledo
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