Superconformal index of low-rank gauge theories via the Bethe Ansatz

dc.contributor.areaphysicsen_US
dc.contributor.authorBenini, Francesco
dc.contributor.authorRizzi, Giovanni
dc.date.accessioned2021-02-08T09:22:22Z
dc.date.available2021-02-08T09:22:22Z
dc.date.issued2021
dc.description.abstractWe study the Bethe Ansatz formula for the superconformal index, in the case of 4d N = 4 super-Yang-Mills with gauge group SU(N). We observe that not all solutions to the Bethe Ansatz Equations (BAEs) contribute to the index, and thus formulate “reduced BAEs” such that all and only their solutions contribute. We then propose, sharpening a conjecture of Arabi Ardehali et al. [1], that there is a one-to-one correspondence between solutions to the reduced BAEs and vacua of the 4d N = 1∗theory on S1. We test the proposal in the case of SU(2) and SU(3). In the case of SU(3), we confirm that there is a continuous family of solutions, whose contribution to the index is non-vanishing.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35421
dc.language.isoenen_US
dc.titleSuperconformal index of low-rank gauge theories via the Bethe Ansatzen_US
dc.typePreprinten_US
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