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$c_{\text{eff}}$ for 3d $\mathcal{N}=2$ theories
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abstract
Based on the observed behavior of the superconformal index in three-dimensional $\mathcal{N}=2$ theories, we propose a quantity that can be considered as an analogue of the "effective central charge." We discuss the general properties of this quantity and ways of computing it in a variety of different theories, including simple Lagrangian theories as well as more interesting strongly coupled examples that come from 3d-3d correspondence.
Forward citations
Cited by 3 Pith papers
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Cardy limit of the 3d superconformal index
In the Cardy limit the 3d superconformal index obeys Z ~ beta^{-#} on the first sheet and Z ~ e^{#/beta} on the second, with gauge-enhancing saddles screened for non-chiral theories.
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Quiver superconformal index and giant gravitons: asymptotics and expansions
For toric quiver theories, coefficients of the large-N superconformal index grow like exp(constant*sqrt(n)) times n^((m-5)/4) for the A-hat_m family, with polynomial growth for dP3 and Y^{p,0}.
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Quantum invariants of 3-manifolds and links: a review
This is a survey, not a new result: it reviews the q-series invariants Zhat, F_K, F_L and their supergroup analogues, collecting known conjectures, theorems, and examples.
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