Exact two-dimensional superconformal R-symmetry and c-extremization

Abstract

We uncover a general principle, dubbed c-extremization, which determines the exact R-symmetry of a two-dimensional unitary superconformal field theory with N=(0,2) supersymmetry. To illustrate its utility, we study superconformal theories obtained by twisted compactifications of four-dimensional N=4 super-Yang-Mills on Riemann surfaces, and construct their gravity duals.

4 pages; v2: minor modifications and refs updated

References in corpus (9)

• Phases of $N=2$ Theories In Two Dimensions
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• Four-Dimensional SCFTs from M5-Branes
• Sicilian gauge theories and N=1 dualities
• Supercurrents and Brane Currents in Diverse Dimensions
• Liouville/Toda central charges from M5-branes
• The Exact Superconformal R-symmetry Minimizes ${\tau }_{RR}$
• (0,2) Landau-Ginzburg Models and Residues

Cited by in corpus (130)

• Black hole microstates in AdS${}_4$ from supersymmetric localization
• Elliptic genera of 2d N=2 gauge theories
• Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups
• Two-dimensional SCFTs from wrapped branes and c-extremization
• A Constraint on Defect and Boundary Renormalization Group Flows
• An extremization principle for the entropy of rotating BPS black holes in AdS${}_5$
• The Holographic Dual of AdS3 x S3 x S3 x S1
• A Universal Counting of Black Hole Microstates in AdS${}_4$
• Accelerating Black Holes and Spinning Spindles
• D3-branes wrapped on a spindle
• Two-dimensional SCFTs from D3-branes
• Lectures on AdS Black Holes, Holography and Localization
• The superconformal index of N=1 class S fixed points
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Elliptic Genus of E-strings
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• Universal RG Flows Across Dimensions and Holography
• Two dimensional $\mathcal{N}=(0,4)$ quivers dual to AdS${}_3$ solutions in massive IIA
• F-theory and AdS_3/CFT_2
• Gluing gravitational blocks for AdS black holes
• Topologically twisted indices in five dimensions and holography
• 2d (0,2) Quiver Gauge Theories and D-Branes
• Supersymmetric Casimir Energy and the Anomaly Polynomial
• A geometric dual of $c$-extremization
• Euclidean Black Saddles and AdS${}_4$ Black Holes
• Brane Brick Models and 2d (0,2) Triality
• Cluster algebras from dualities of 2d N=(2,2) quiver gauge theories
• M5-branes wrapped on a spindle
• The Cardy limit of the topologically twisted index and black strings in AdS${}_5$
• Rotating multi-charge spindles and their microstates
• F-theory and AdS_3/CFT_2 (2,0)
• Surface Defect, Anomalies and $b$-Extremization
• Twisted D3-brane and M5-brane compactifications from multi-charge spindles
• F-theory and 2d (0,2) Theories
• 3D supergravity from wrapped M5-branes
• On Exceptional Instanton Strings
• 3D Supergravity from wrapped D3-branes
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• (0,2) SCFTs from the Leigh-Strassler Fixed Point
• Anomalies, Black strings and the charged Cardy formula
• Higher Derivative Corrections and Central Charges from Wrapped M5-branes
• Defect $a$-Theorem and $a$-Maximization
• Supergravity dual of c-extremization
• Toric geometry and the dual of $c$-extremization
• D3-branes and M5-branes wrapped on a topological disc
• Monodromy Defects in Free Field Theories
• (0,2) Dynamics From Four Dimensions
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
• BPS black holes from massive IIA on S${}^6$
• Proving the equivalence of $c$-extremization and its gravitational dual for all toric quivers
• Magnetic AdS x R^2: Supersymmetry and stability
• From 6D SCFTs to Dynamic GLSMs
• Fibred GK geometry and supersymmetric $AdS$ solutions
• Anomaly Inflow Methods for SCFT Constructions in Type IIB
• From 3d duality to 2d duality
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• Black holes with baryonic charge and $\mathcal{I}$-extremization
• Elliptic Genera of 2d (0,2) Gauge Theories from Brane Brick Models
• Branes wrapped on orbifolds and their gravitational blocks
• Supersymmetric localization in two dimensions
• New 2d $\mathcal{N}=(0,2)$ dualities from four dimensions
• Scale invariance vs conformal invariance
• Equivariant localization for AdS/CFT
• A 2d (0,2) appetizer
• Microstates of rotating AdS${}_5$ strings
• Localization and Attraction
• Theories of Class F and Anomalies
• On AdS${}_3$ solutions of Type IIB
• Accidents in (0,2) Landau-Ginzburg theories
• Leigh-Strassler compactified on a spindle
• Consistent KK truncations for M5-branes wrapped on Riemann surfaces
• Dimensional reduction of BPS attractors in AdS gauged supergravities
• N=(0, 2) Deformation of (2, 2) Sigma Models: Geometric Structure, Holomorphic Anomaly and Exact Beta Functions
• Hybrid conformal field theories
• Supersymmetric Rényi Entropy in Two Dimensions
• SUSY properties of warped AdS${}_3$
• Twisted $\mathcal{N}=1$ SCFTs and their AdS${}_3$ duals
• Localizing Wrapped M5-branes and Gravitational Blocks
• Flowing from $Ad{S}_5$ to $Ad{S}_3$ with $T^{1,1}$
• Black string first order flow in N=2, d=5 abelian gauged supergravity
• Wrapped Branes and Punctured Horizons
• Surveying 4d SCFTs twisted on Riemann surfaces
• Comments on $Ad{S}_2$ solutions from M2-branes on complex curves and the backreacted Kähler geometry
• The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
• Lifshitz flows in IIB and dual field theories
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• Computing the elliptic genus of higher rank E-strings from genus 0 GW invariants
• Elliptic non-Abelian Donaldson-Thomas invariants of ${\mathbb{C}}^3$
• $\mathcal{I}$/$c$-Extremization in M/F-Duality
• $T^{1,1}$ truncation on the spindle
• Black hole microstates and supersymmetric localization
• (0,2) ADE Models From Four Dimensions
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Holographic Uniformization and Black Hole Attractors
• 2d $\mathcal{N}=(0,1)$ Gauge Theories and Spin(7) Orientifolds
• Quantum Information Theory of the Gravitational Anomaly
• On the correspondence between black holes, domain walls and fluxes
• Lectures on 4d N=1 dynamics and related topics
• c-extremization from toric geometry
• Superconformal Quantum Mechanics from M2-branes
• Gravity duals of N=(0,2) SCFTs from M5-branes
• Wilson lines for AdS_5 black strings
• Warped AdS${}_3$, dS${}_3$ and flows from $\mathcal{N}=(0,2)$ SCFTs
• Two-dimensional superconformal field theories from Riemann surfaces with boundary
• Trialities of minimally supersymmetric 2d gauge theories
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• 3D ${\tau }_{RR}$-minimization in AdS${}_4$ gauged supergravity
• Supersymmetric gauged matrix models from dimensional reduction on a sphere
• (0,2) hybrid models
• Kähler Uniformization from Holographic Renormalization Group Flows of M5-branes
• All supersymmetric solutions of 3D U(1)${}^3$ gauged supergravity
• Magnetically-charged supersymmetric flows of gauged $\mathcal{N}=8$ supergravity in five dimensions
• $\mathcal{I}$-extremization with baryonic charges
• Construction of 4d SYM compactified on open Riemann surfaces by the superfield formalism
• Relevant deformations and c-extremization
• Marginal Deformations of Non-Relativistic Field Theories
• Small Landau-Ginzburg theories
• 2d dualities from 4d
• Fixed points of (0,2) Landau-Ginzburg renormalization group flows and the chiral algebra
• Zoology of heterotic supercurrent supermultiplets in d=2
• Kerr-Newman black holes from $\mathcal{N}=1^{\ast }$
• Holographic renormalization group flows in two-dimensional gravity and $AdS$ black holes
• A (0,2) mirror duality
• New conformal field theory from $\mathcal{N}=(0,2)$ Landau-Ginzburg model
• Higher derivative corrections to BPS black hole attractors in 4d gauged supergravity
• Supersymmetric zeta functions and determinants
• ${\tau }_{RR}$ minimization in presence of hypermultiplets
• On the Supersymmetry of Bianchi attractors in Gauged supergravity
• M5-branes wrapped on four-dimensional orbifolds