Supergravity dual of c-extremization

Abstract

Recently a general principle, called c-extremization, which determines the exact R-symmetry of two-dimensional SCFTs with N = (0,2) supersymmetry was identified. In this note we show that the supergravity dual corresponds to the extremization of the T-tensor of N = 2 gauged supergravity in three-dimensions. To support this claim, we demonstrate that the expected central charge of SCFTs arising from twisted compactifications of four-dimensional N = 4 SYM on Riemann surfaces, whose gravity dual is a reduction of five-dimensional U(1)^3 gauged supergravity, is recovered in the three-dimensional framework.

4 pages, v2, longer abstract, some factors corrected, typos corrected, v3 expanded introduction, published in PRD, v4 repeated summation in equation (23) removed and expression corrected

References in corpus (12)

• Massive Gravity in Three Dimensions
• Warped AdS_3 Black Holes
• Sasaki-Einstein Manifolds and Volume Minimisation
• Four-Dimensional SCFTs from M5-Branes
• Exact two-dimensional superconformal R-symmetry and c-extremization
• Flat-Space Chiral Gravity
• AdS spacetimes from wrapped M5 branes
• AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces
• 3D gauged supergravity from wrapped M5-branes with AdS/CMT applications
• Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
• Comments on a-maximization from gauged supergravity
• AdS spacetimes from wrapped D3-branes

Cited by in corpus (31)

• Two-dimensional SCFTs from D3-branes
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• BPS Black Holes in AdS4 from M-theory
• A geometric dual of $c$-extremization
• The Cardy limit of the topologically twisted index and black strings in AdS${}_5$
• 3D supergravity from wrapped M5-branes
• (0,2) Dynamics From Four Dimensions
• Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
• Proving the equivalence of $c$-extremization and its gravitational dual for all toric quivers
• Microstates of rotating AdS${}_5$ strings
• Betti multiplets, flows across dimensions and c-extremization
• Twisted $\mathcal{N}=1$ SCFTs and their AdS${}_3$ duals
• SUSY properties of warped AdS${}_3$
• Black string first order flow in N=2, d=5 abelian gauged supergravity
• Warped Ricci-flat reductions
• Surveying 4d SCFTs twisted on Riemann surfaces
• AdS${}_5$ black strings in the stu model of FI-gauged $N=2$ supergravity
• Comments on $Ad{S}_2$ solutions from M2-branes on complex curves and the backreacted Kähler geometry
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• Black hole microstates and supersymmetric localization
• $\mathcal{I}$/$c$-Extremization in M/F-Duality
• Superconformal Quantum Mechanics from M2-branes
• Wilson lines for AdS_5 black strings
• c-extremization from toric geometry
• Warped AdS${}_3$, dS${}_3$ and flows from $\mathcal{N}=(0,2)$ SCFTs
• Two-dimensional superconformal field theories from Riemann surfaces with boundary
• 3D ${\tau }_{RR}$-minimization in AdS${}_4$ gauged supergravity
• Magnetically-charged supersymmetric flows of gauged $\mathcal{N}=8$ supergravity in five dimensions
• Kerr-Newman black holes from $\mathcal{N}=1^{\ast }$
• Holographic renormalization group flows in two-dimensional gravity and $AdS$ black holes
• Zoology of heterotic supercurrent supermultiplets in d=2