Higher-Derivative Supergravity, Wrapped M5-branes, and Theories of Class $\mathcal{R}$

Abstract

We study the interplay between four-derivative 4d gauged supergravity, holography, wrapped M5-branes, and theories of class $\mathcal{R}$. Using results from Chern-Simons theory on hyperbolic three-manifolds and the 3d-3d correspondence we are able to constrain the two independent coefficients in the four-derivative supergravity Lagrangian. This in turn allows us to calculate the subleading terms in the large-$N$ expansion of supersymmetric partition functions for an infinite class of three-dimensional $\mathcal{N}=2$ SCFTs of class $\mathcal{R}$. We also determine the leading correction to the Bekenstein-Hawking entropy of asymptotically AdS${}_4$ black holes arising from wrapped M5-branes. In addition, we propose and test some conjectures about the perturbative partition function of Chern-Simons theory with complexified ADE gauge groups on closed hyperbolic three-manifolds.

arXiv comment29 pages

References in corpus (47)

• Supergravity description of field theories on curved manifolds and a no go theorem
• SUSY Gauge Theories on Squashed Three-Spheres
• Five-Brane Effective Action In M-Theory
• Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory
• Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial
• A topologically twisted index for three-dimensional supersymmetric theories
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Four-Dimensional SCFTs from M5-Branes
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Duality and higher derivative terms in M theory
• Supersymmetry of Anti-de Sitter Black Holes
• Non-abelian Tensor-multiplet Anomalies
• M-Fivebranes Wrapped on Supersymmetric Cycles
• Anomaly Matching and a Hopf-Wess-Zumino Term in 6d, N=(2,0) Field Theories
• The gravity dual of supersymmetric gauge theories on a squashed three-sphere
• A Universal Counting of Black Hole Microstates in AdS${}_4$
• Wrapped M5-branes, consistent truncations and AdS/CMT
• Fivebranes Wrapped On Associative Three-Cycles
• Supersymmetric partition functions and the three-dimensional A-twist
• Supersymmetry of topological Kerr-Newmann-Taub-NUT-aDS spacetimes
• The BPS limit of rotating AdS black hole thermodynamics
• Seifert fibering operators in 3d $\mathcal{N}=2$ theories
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity
• Localization of the action in AdS/CFT
• Euclidean Black Saddles and AdS${}_4$ Black Holes
• Holographic renormalization and supersymmetry
• Universal Spinning Black Holes and Theories of Class $\mathcal{R}$
• Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence
• Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review
• Rotating Black Hole Entropy from M5-branes
• M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture
• Anomaly of (2,0) Theories
• Partition functions on 3d circle bundles and their gravity duals
• Higher Derivative Corrections and Central Charges from Wrapped M5-branes
• M-theoretic Genesis of Topological Phases
• Precision Microstate Counting for the Entropy of Wrapped M5-branes
• Holography of 3d-3d correspondence at Large N
• Teichmuller TQFT vs Chern-Simons Theory
• The complex volume of SL(n,C)-representations of 3-manifolds
• Large $N$ twisted partition functions in 3d-3d correspondence and Holography
• All-Order Volume Conjecture for Closed 3-Manifolds from Complex Chern-Simons Theory
• Holography of Wrapped M5-branes and Chern-Simons theory
• S-duality resurgence in SL(2) Chern-Simons theory
• An $\mathcal{N}=1$ 3d-3d Correspondence
• 3d $\mathcal{N}=2$ minimal SCFTs from Wrapped M5-branes
• BPS M5-branes as Defects for the 3d-3d Correspondence

Cited by in corpus (14)

• Large $N$ Partition Functions of the ABJM Theory
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Boundary terms and conserved charges in higher-derivative gauged supergravity
• On curvature-squared invariants of minimal five-dimensional supergravity from superspace
• Consistent truncations in higher derivative supergravity
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Quantum entropy of BMPV black holes and the topological M-theory conjecture
• Black holes and Large $N$ complex saddles in 3D-3D correspondence
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• The Holographic Contributions to the Sphere Free Energy
• Wrapped $M5$-branes and complex saddle points
• Four-derivative Corrections to Minimal Gauged Supergravity in Five Dimensions