The Cardy limit of the topologically twisted index and black strings in \(\mathrm{AdS}_{5}\)

DOI10.1007/JHEP04(2017)014zbMATH Open1378.81125arXiv1611.09374OpenAlexW3106301600WikidataQ64038302 ScholiaQ64038302MaRDI QIDQ680610

Author name not available (Why is that?)

Publication date: 23 January 2018

Published in: (Search for Journal in Brave)

Abstract: We evaluate the topologically twisted index of a general four-dimensional $mathcalN=1$ gauge theory in the "high-temperature" limit. The index is the partition function for $mathcalN=1$ theories on $S^{2}imes{T}^2$, with a partial topological twist along $S^2$, in the presence of background magnetic fluxes and fugacities for the global symmetries. We show that the logarithm of the index is proportional to the conformal anomaly coefficient of the two-dimensional $mathcalN=(0,2)$ SCFTs obtained from the compactification on $S^2$. We also present a universal formula for extracting the index from the four-dimensional conformal anomaly coefficient and its derivatives. We give examples based on theories whose holographic duals are black strings in type IIB backgrounds AdS${}_{5}imesext{SE}_5$, where SE${}_5$ are five-dimensional Sasaki-Einstein spaces.

Full work available at URL: https://arxiv.org/abs/1611.09374

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: The Cardy limit of the topologically twisted index and black strings in \(\mathrm{AdS}_{5}\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q680610)