Superconformal indices of three-dimensional theories related by mirror symmetry

DOI10.1007/JHEP06(2011)008zbMath1298.81186arXiv1103.4075OpenAlexW2086101624MaRDI QIDQ466767

Grigory Vartanov, Christian Krattenthaler, Vyacheslav P. Spiridonov

Publication date: 27 October 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4075

zbMATH Keywords

supersymmetric gauge theory supersymmetry and duality

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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Cites Work