Reading between the lines of four-dimensional gauge theories
TLDR
In this paper, the authors show that the existence of these distinct theories clarifies a number of issues in electric/magnetic dualities of supersymmetric gauge theories, both for the conformal N = 4 theories and for the low-energy duality of N = 1 theories.Abstract:
Starting with a choice of a gauge group in four dimensions, there is often freedom in the choice of magnetic and dyonic line operators. Different consistent choices of these operators correspond to distinct physical theories, with the same correlation functions of local operators in R 4 . In some cases these choices are permuted by shifting the θ-angle by 2π. In other cases they are labeled by new discrete θ-like parameters. Using this understanding we gain new insight into the dynamics of four-dimensional gauge theories and their phases. The existence of these distinct theories clarifies a number of issues in electric/magnetic dualities of supersymmetric gauge theories, both for the conformal N = 4 theories and for the low-energy dualities of N = 1 theories.read more
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Generalized Global Symmetries
TL;DR: A q-form global symmetry is a global symmetry for which the charged operators are of space-time dimension q; e.g. strings, membranes, etc. as discussed by the authors, which leads to Ward identities and hence to selection rules on amplitudes.
Journal ArticleDOI
Generalized Global Symmetries
TL;DR: A global symmetry is a symmetry for which the charged operators are of space-time dimension $q$; e.g., strings, membranes, etc. as mentioned in this paper Theorem 1.
Journal ArticleDOI
Coupling a QFT to a TQFT and duality
Anton Kapustin,Nathan Seiberg +1 more
TL;DR: In this article, the authors consider coupling an ordinary quantum field theory with an infinite number of degrees of freedom to a topological field theory, and explore several examples including Dijkgraaf-Witten theories and their generalizations both in the continuum and on the lattice.
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Localization techniques in quantum field theories
Vasily Pestun,Maxim Zabzine,Francesco Benini,Francesco Benini,Tudor Dimofte,Tudor Dimofte,Thomas T. Dumitrescu,Kazuo Hosomichi,Seok Kim,Kimyeong Lee,Bruno Le Floch,Marcos Marino,Joseph A. Minahan,David R. Morrison,Sara Pasquetti,Jian Qiu,Jian Qiu,Leonardo Rastelli,Shlomo S. Razamat,Silvu S. Pufu,Yuji Tachikawa,Brian Willett,Konstantin Zarembo,Konstantin Zarembo +23 more
TL;DR: In this paper, a special issue on localization techniques in quantum field theory is presented, where a summary of individual chapters is given and their interrelation is discussed, as well as their interrelationships among them.
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3d dualities from 4d dualities
TL;DR: In this paper, the relation between the dualities in four and in three dimensions was clarified, and it was shown that every four dimensional duality gives rise to a 3D duality between theories that are similar, but not identical, to the dimensional reductions of the four-dimensional dual gauge theories to three dimensions.
References
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The Large N limit of superconformal field theories and supergravity
TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
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Large N Field Theories, String Theory and Gravity
TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
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Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
TL;DR: In this article, the authors studied the vacuum structure and spectrum of N = 2 supersymmetric gauge theory in four dimensions, with gauge group SU(2), and obtained exact formulas for electron and dyon masses and the metric on the moduli space of vacua.
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Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
Nathan Seiberg,Edward Witten +1 more
TL;DR: In this paper, the vacuum structure and dyon spectrum of N = 2 supersymmetric gauge theory in four dimensions, with gauge group SU(2), were studied. And the theory turns out to have remarkably rich and physical properties which can nonetheless be described precisely; exact formulas can be obtained, for instance, for electron and Dyon masses and the metric on the moduli space of vacua.
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Electric-magnetic duality in supersymmetric non-Abelian gauge theories
Nathan Seiberg,Nathan Seiberg +1 more
TL;DR: In this article, the authors demonstrate electric-magnetic duality in N = 1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories (different gauge groups and quark representations) leading to the same non-trivial long distance physics.