M5-branes, toric diagrams and gauge theory duality View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2012-04

AUTHORS

Ling Bao, Elli Pomoni, Masato Taki, Futoshi Yagi

ABSTRACT

In this article we explore the duality between the low energy effective theory of five-dimensional and SU(M)N−1 linear quiver gauge theories compactified on S1. The theories we study are the five-dimensional uplifts of four-dimensional superconformal linear quivers. We study this duality by comparing the Seiberg-Witten curves and the Nekrasov partition functions of the two dual theories. The Seiberg-Witten curves are obtained by minimizing the worldvolume of an M5-brane with nontrivial geometry. Nekrasov partition functions are computed using topological string theory. The result of our study is a map between the gauge theory parameters, i.e., Coulomb moduli, masses and UV coupling constants, of the two dual theories. Apart from the obvious physical interest, this duality also leads to compelling mathematical identities. Through the AGTW conjecture these five-dimentional gauge theories are related to q-deformed Liouville and Toda SCFTs in two-dimensions. The duality we study implies the relations between Liouville and Toda correlation functions through the map we derive. More... »

PAGES

105

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/jhep04(2012)105

DOI

http://dx.doi.org/10.1007/jhep04(2012)105

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1053174488


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108 schema:description In this article we explore the duality between the low energy effective theory of five-dimensional and SU(M)N−1 linear quiver gauge theories compactified on S1. The theories we study are the five-dimensional uplifts of four-dimensional superconformal linear quivers. We study this duality by comparing the Seiberg-Witten curves and the Nekrasov partition functions of the two dual theories. The Seiberg-Witten curves are obtained by minimizing the worldvolume of an M5-brane with nontrivial geometry. Nekrasov partition functions are computed using topological string theory. The result of our study is a map between the gauge theory parameters, i.e., Coulomb moduli, masses and UV coupling constants, of the two dual theories. Apart from the obvious physical interest, this duality also leads to compelling mathematical identities. Through the AGTW conjecture these five-dimentional gauge theories are related to q-deformed Liouville and Toda SCFTs in two-dimensions. The duality we study implies the relations between Liouville and Toda correlation functions through the map we derive.
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