Exact partition function in $U(2)\times U(2)$ ABJM theory deformed by mass and Fayet-Iliopoulos terms

Abstract

We exactly compute the partition function for $U(2{)}_k\times U(2{)}_{-k}$ ABJM theory on ${\mathbb{S}}^3$ deformed by mass $m$ and Fayet-Iliopoulos parameter $\zeta$. For $k=1,2$, the partition function has an infinite number of Lee-Yang zeros. For general $k$, in the decompactification limit the theory exhibits a quantum (first-order) phase transition at $m=2\zeta$.

11 pages, 1 figure. v2: references added

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Cited by in corpus (7)

• How to resum perturbative series in 3d N=2 Chern-Simons matter theories
• Mordell integrals and Giveon-Kutasov duality
• Exact results and Schur expansions in quiver Chern-Simons-matter theories
• Mass-deformed ABJ and ABJM theory, Meixner-Pollaczek polynomials, and $su(1,1)$ oscillators
• Dualities and loops on squashed $S^3$
• Deconstructing Deformed D-quivers
• N=2 Chern-Simons-Matter Theories Without Vortices