We evaluate the topologically twisted index of a general four-dimensional N= 1 gauge theory in the “high-temperature” limit. The index is the partition function for N= 1 theories on S2× T2, with a partial topological twist along S2, 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 N= (0 2) SCFTs obtained from the compactification on S2. 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 AdS5× SE5, where SE5 are five-dimensional Sasaki-Einstein spaces

Hosseini, S., Nedelin, A., Zaffaroni, A. (2017). The Cardy limit of the topologically twisted index and black strings in AdS5. JOURNAL OF HIGH ENERGY PHYSICS, 2017(4) [10.1007/JHEP04(2017)014].

The Cardy limit of the topologically twisted index and black strings in AdS5

HOSSEINI, SEYEDMORTEZA;NEDELIN, ANTON
;
ZAFFARONI, ALBERTO
2017

Abstract

We evaluate the topologically twisted index of a general four-dimensional N= 1 gauge theory in the “high-temperature” limit. The index is the partition function for N= 1 theories on S2× T2, with a partial topological twist along S2, 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 N= (0 2) SCFTs obtained from the compactification on S2. 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 AdS5× SE5, where SE5 are five-dimensional Sasaki-Einstein spaces
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Black Holes; Black Holes in String Theory; Matrix Models
English
Hosseini, S., Nedelin, A., Zaffaroni, A. (2017). The Cardy limit of the topologically twisted index and black strings in AdS5. JOURNAL OF HIGH ENERGY PHYSICS, 2017(4) [10.1007/JHEP04(2017)014].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/151416
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