General instanton counting and 5d SCFT
TLDR
In this article, the authors derived integral contour prescriptions for these indices using the Jeffrey-Kirwan method, for gauge theories with hypermultiplets in various representations, and derived the index for general gauged quantum mechanics with (0, 2) SUSY.Abstract:
Instanton partition functions of 5d $$ \mathcal{N}=1 $$
gauge theories are Witten indices for the ADHM gauged quantum mechanics with (0, 4) SUSY. We derive the integral contour prescriptions for these indices using the Jeffrey-Kirwan method, for gauge theories with hypermultiplets in various representations. The results can be used to study various 4d/5d/6d QFTs. In this paper, we study 5d SCFTs which are at the UV fixed points of 5d SYM theories. In particular, we focus on the Sp(N ) theories with N
f
≤ 7 fundamental and 1 antisymmetric hypermultiplets, living on the D4-D8-O8 systems. Their superconformal indices calculated from instantons all show $$ {E_N}_{{}_f+1} $$
symmetry enhancements. We also discuss some aspects of the 6d SCFTs living on the M5-M9 system. It is crucial to understand the UV incompleteness of the 5d SYM, coming from small instantons in our problem. We explain in our examples how to fix them. As an aside, we derive the index for general gauged quantum mechanics with (0, 2) SUSY.read more
Citations
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A topologically twisted index for three-dimensional supersymmetric theories
TL;DR: In this paper, the authors provide a general formula for the partition function of 3D Yang-Mills-Chern-Simons theories with matter, including Aharony and Giveon-Kutasov dualities, which can be interpreted as an index for chiral states of the theories immersed in background magnetic fields.
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LieART—A Mathematica application for Lie algebras and representation theory
Robert Feger,Thomas W. Kephart +1 more
TL;DR: LieART 2.0 as mentioned in this paper is an extension of the Mathematica application LieART that supports tensor product decomposition and subalgebra branching of irreducible representations.
Journal ArticleDOI
Witten index and wall crossing
Abstract: We compute the Witten index of one-dimensional gauged linear sigma models with at least $$ \mathcal{N} $$
= 2 supersymmetry. In the phase where the gauge group is broken to a finite group, the index is expressed as a certain residue integral. It is subject to a change as the Fayet-Iliopoulos parameter is varied through the phase boundaries. The wall crossing formula is expressed as an integral at infinity of the Coulomb branch. The result is applied to many examples, including quiver quantum mechanics that is relevant for BPS states in d = 4 $$ \mathcal{N} $$
=2 theories.
Journal ArticleDOI
Fibers add flavor. Part I. Classification of 5d SCFTs, flavor symmetries and BPS states
TL;DR: In this paper, a graph-based approach to 5d superconformal field theories (SCFTs) is proposed based on their realization as M-theory compactifications on singular elliptic Calabi-Yau threefolds.
Journal ArticleDOI
Defects and quantum Seiberg-Witten geometry
TL;DR: In this article, the Nekrasov partition function of the ve dimensional U(N) gauge theory with maximal supersymmetry on R 4 S 1 in the presence of codimension two defects was studied.
References
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Journal ArticleDOI
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.
Journal ArticleDOI
Heterotic and type I string dynamics from eleven-dimensions
Petr Horava,Edward Witten +1 more
TL;DR: In this paper, it was shown that the ten-dimensional E 8 × E 8 heterotic string is related to an eleven-dimensional theory on the orbifold R 10 × S 1 / Z 2.
Journal ArticleDOI
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.
Journal ArticleDOI
Computation of the quantum effects due to a four-dimensional pseudoparticle
TL;DR: In this paper, a detailed quantitative calculation is carried out of the tunneling process described by the Belavin-Polyakov-Schwarz-Tyupkin field configuration, where a certain chiral symmetry is violated as a consequence of the Adler-Bell-Jackiw anomaly.
Journal ArticleDOI
Seiberg-Witten Prepotential from Instanton Counting
TL;DR: In this article, a two-parameter generalization of the Seiberg-Witten prepotential is presented, which is rather natural from the M-theory/five dimensional perspective, and conjecture its relation to the tau-functions of KP/Toda hierarchy.