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DOE OSTI · 1424743

Betti multiplets, flows across dimensions and c-extremization

Amariti, Antonio·Toldo, Chiara
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Abstract

We consider 4d N = 1 SCFTs, topologically twisted on compact constant curvature Riemann surfaces, giving rise to 2d N = (0; 2) SCFTs. The exact R-current of these 2d SCFT extremizes the central charge c 2d , similarly to the 4d picture, where the exact R-current maximizes the central charge a 4d . There are global currents that do not mix with the R-current in 4d but their mixing becomes non trivial in 2d. In this paper we study the holographic dual of this process by analyzing a 5d N = 2 truncation of T 1,1 with one Betti vector multiplet, dual to the baryonic current on the CFT side. The holographic realization of the flow across dimensions connects AdS 5 to AdS 3 vacua in the supergravity picture. We verify the existence of the flow to AdS 3 solutions and we retrieve the field theory results for the mixing of the Betti vector with the graviphoton. Moreover, we extract the central charge from the Brown-Henneaux formula, matching with the results obtained in field theory. We develop a general formalism to obtain the central charge of a 2d SCFT from 5d N = 2 gauged supergravity with a generic number of vector multiplets, showing that its extremization corresponds to an attractor mechanism for the scalars in the supergravity picture.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSAdS-CFT CorrespondenceConformal Field TheoryField Theories in Lower DimensionsSupergravity Models

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Amariti, Antonio, Toldo, Chiara. 2017-07-10. Betti multiplets, flows across dimensions and c-extremization. https://doi.org/10.1007/jhep07(2017)040

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