Beyond triality: dual quiver gauge theories and little string theories

Author:

Bastian Brice,Hohenegger Stefan,Iqbal Amer,Rey Soo-Jong

Abstract

Abstract The web of dual gauge theories engineered from a class of toric Calabi-Yau threefolds is explored. In previous work, we have argued for a triality structure by compiling evidence for the fact that every such manifold X N,M (for given (N, M)) engineers three a priori different, weakly coupled quiver gauge theories in five dimensions. The strong coupling regime of the latter is in general described by Little String Theories. Furthermore, we also conjectured that the manifold X N,M is dual to X N ′,M ′ if NM = NM′ and gcd(N, M) = gcd(N′, M′). Combining this result with the triality structure, we currently argue for a large number of dual quiver gauge theories, whose instanton partition functions can be computed explicitly as specific expansions of the topological partition function $$ {\mathcal{Z}}_{N,M} $$ Z N , M of X N,M . We illustrate this web of dual theories by studying explicit examples in detail. We also undertake first steps in further analysing the extended moduli space of X N,M with the goal of finding other dual gauge theories.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 15 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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