Toric geometry and the dual of c-extremization
File(s)
Published version
Author(s)
Gauntlett, Jerome P
Martelli, Dario
Sparks, James
Type
Journal Article
Abstract
We consider D3-brane gauge theories at an arbitrary toric Calabi-Yau 3-fold cone singularity that are then further compactified on a Riemann surface Σg, with an arbitrary partial topological twist for the global U(1) symmetries. This constitutes a rich, infinite class of two-dimensional (0, 2) theories. Under the assumption that such a theory flows to a SCFT, we show that the supergravity formulas for the central charge and R-charges of BPS baryonic operators of the dual AdS3 solution may be computed using only the toric data of the Calabi-Yau 3-fold and the topological twist parameters. We exemplify the procedure for both the Yp,q and Xp,q 3-fold singularities, along with their associated dual quiver gauge theories, showing that the new supergravity results perfectly match the field theory results obtained using c-extremization, for arbitrary twist over Σg. We furthermore conjecture that the trial central charge Open image in new window , which we define in gravity, matches the field theory trial c-function off-shell, and show this holds in non-trivial examples. Finally, we check our general geometric formulae against a number of explicitly known supergravity solutions.
Date Issued
2019-01-28
Date Acceptance
2019-01-19
Citation
Journal of High Energy Physics, 2019, 2019
ISSN
1029-8479
Publisher
Springer Verlag (Germany)
Journal / Book Title
Journal of High Energy Physics
Volume
2019
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Science and Technology Facilities Council (STFC)
Identifier
http://arxiv.org/abs/1812.05597v2
Grant Number
EP/K034456/1
339140
ST/P000762/1
Subjects
hep-th
hep-th
Publication Status
Published
Article Number
204
Date Publish Online
2019-01-28