Betti multiplets, flows across dimensions and cextremization
We consider 4d N = 1 SCFTs, topologically twisted on compact constant curvature Riemann surfaces, giving rise to 2d N = (0; 2) SCFTs. The exact Rcurrent of these 2d SCFT extremizes the central charge c _{2d}, similarly to the 4d picture, where the exact Rcurrent maximizes the central charge a _{4d}. There are global currents that do not mix with the Rcurrent 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 BrownHenneaux 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 ofmore »
 Authors:

^{[1]};
^{[2]}
 City Univ. (CUNY), NY (United States). Physics Department; University of Bern (Switzerland). Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics
 Columbia Univ., New York, NY (United States)
 Publication Date:
 Grant/Contract Number:
 SC0011941
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 7; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Columbia Univ., New York, NY (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AdSCFT Correspondence; Conformal Field Theory; Field Theories in Lower Dimensions; Supergravity Models
 OSTI Identifier:
 1424743
Amariti, Antonio, and Toldo, Chiara. Betti multiplets, flows across dimensions and cextremization. United States: N. p.,
Web. doi:10.1007/JHEP07(2017)040.
Amariti, Antonio, & Toldo, Chiara. Betti multiplets, flows across dimensions and cextremization. United States. doi:10.1007/JHEP07(2017)040.
Amariti, Antonio, and Toldo, Chiara. 2017.
"Betti multiplets, flows across dimensions and cextremization". United States.
doi:10.1007/JHEP07(2017)040. https://www.osti.gov/servlets/purl/1424743.
@article{osti_1424743,
title = {Betti multiplets, flows across dimensions and cextremization},
author = {Amariti, Antonio and Toldo, Chiara},
abstractNote = {We consider 4d N = 1 SCFTs, topologically twisted on compact constant curvature Riemann surfaces, giving rise to 2d N = (0; 2) SCFTs. The exact Rcurrent of these 2d SCFT extremizes the central charge c2d, similarly to the 4d picture, where the exact Rcurrent maximizes the central charge a4d. There are global currents that do not mix with the Rcurrent 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 T1,1 with one Betti vector multiplet, dual to the baryonic current on the CFT side. The holographic realization of the flow across dimensions connects AdS5 to AdS3 vacua in the supergravity picture. We verify the existence of the flow to AdS3 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 BrownHenneaux 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.},
doi = {10.1007/JHEP07(2017)040},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2017,
place = {United States},
year = {2017},
month = {7}
}