Wrapped $M5$-branes and complex saddle points

Abstract

We study the effects of the introduction of a $\vartheta$ term in minimal gauged supergravity in four dimensions. We show why this term is not present in supergravity duals of field theories arising on wrapped $M2$-branes, but is there in the case of $M5$-branes wrapping hyperbolic manifolds ${\Sigma }_3$, and compute the higher-derivative corrections. Having proved that the on-shell supergravity action of any supersymmetric solution can be expressed in terms of data from the fixed points of a Killing vector, we show that it is proportional to a complex topological invariant of ${\Sigma }_3$. This is consistent with the characteristics of the dual three-dimensional $\mathcal{N}=2$ SCFT predicted by the $3d$-$3d$ correspondence, and we match the large $N$ limit of its partition functions in the known cases.

arXiv comment44 pages; v2: references added, revised argument in section 4

References in corpus (70)

• Lecture Notes on Holographic Renormalization
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• On Flux Quantization In M-Theory And The Effective Action
• SUSY Gauge Theories on Squashed Three-Spheres
• Eleven Dimensional Origin of String/String Duality: A One Loop Test
• Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory
• Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
• A One-Loop Test Of String Duality
• Duality between Electric and Magnetic Black Holes
• Comments on Chern-Simons Contact Terms in Three Dimensions
• Supersymmetric Field Theories on Three-Manifolds
• Consistency of the $Ad{S}_7\times S_4$ reduction and the origin of self-duality in odd dimensions
• Consistent nonlinear KK reduction of 11d supergravity on $Ad{S}_7\times S_4$ and self-duality in odd dimensions
• The Geometry of Supersymmetric Partition Functions
• Supersymmetry of Anti-de Sitter Black Holes
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• Supersymmetry on Curved Spaces and Holography
• Non-abelian Tensor-multiplet Anomalies
• SL(2,R) Chern-Simons, Liouville, and Gauge Theory on Duality Walls
• The string origin of dyonic $\mathcal{N}=8$ supergravity and its simple Chern-Simons duals
• M-Fivebranes Wrapped on Supersymmetric Cycles
• R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
• The gravity dual of supersymmetric gauge theories on a squashed three-sphere
• The Holography of F-maximization
• Wrapped M5-branes, consistent truncations and AdS/CMT
• SL(2,Z) Action on Three-Dimensional CFTs and Holography
• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• AdS spacetimes from wrapped M5 branes
• S^3 and S^4 Reductions of Type IIA Supergravity
• 3d Chern-Simons Theory from M5-branes
• Exact Embedding of N=1, D=7 Gauged Supergravity in D=11
• The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity
• Localization on Three-Manifolds
• The gravity dual of supersymmetric gauge theories on a biaxially squashed three-sphere
• Supersymmetric phases of 4d N=4 SYM at large N
• The supersymmetric NUTs and bolts of holography
• Asymptotic growth of the 4d $\mathcal{N}=4$ index and partially deconfined phases
• A gravity interpretation for the Bethe Ansatz expansion of the $\mathcal{N}=4$ SYM index
• Localization of the action in AdS/CFT
• Euclidean Black Saddles and AdS${}_4$ Black Holes
• Holographic renormalization and supersymmetry
• 3d TQFT from 6d SCFT
• AdS black holes and finite N indices
• Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review
• Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence
• Universal Spinning Black Holes and Theories of Class $\mathcal{R}$
• Boundary Terms and Three-Point Functions: An AdS/CFT Puzzle Resolved
• Universal 3d Cardy Block and Black Hole Entropy
• Rotating Black Hole Entropy from M5-branes
• N=2 supersymmetric AdS_4 solutions of M-theory
• Aspects of Defects in 3d-3d Correspondence
• D2-brane Chern-Simons theories: F-maximization = a-maximization
• Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Beyond Self-Duality
• Partition functions on 3d circle bundles and their gravity duals
• Baryonic symmetries and M5 branes in the AdS_4/CFT_3 correspondence
• Precision Microstate Counting for the Entropy of Wrapped M5-branes
• Holography of 3d-3d correspondence at Large N
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• Large $N$ twisted partition functions in 3d-3d correspondence and Holography
• Higher-Derivative Supergravity, Wrapped M5-branes, and Theories of Class $\mathcal{R}$
• A Note on AdS/CFT Dual of SL(2,Z) Action on 3D Conformal Field Theories with U(1) Symmetry
• A 3d-3d appetizer
• Susy Q and spatially modulated deformations of ABJM theory
• The Supersymmetry of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Refined 3d-3d Correspondence
• Minimal $D=4$ $\mathcal{N}=2$ supergravity from $D=11$: An M-theory free lunch
• Gravity duals of supersymmetric gauge theories on three-manifolds
• Minimal $D=4$ truncations of type IIA
• Black holes and Large $N$ complex saddles in 3D-3D correspondence