Spherical Branes

Abstract

We construct new solutions of ten-dimensional supergravity with sixteen supercharges which describe the backreaction of D$p$-branes with spherical worldvolume. These solutions are holographically dual to the $(p+1)$-dimensional maximally supersymmetric Yang-Mills theory on $S^{p+1}$. The finite size of the sphere provides an IR cut-off for the gauge theory which is manifested in the supergravity solution as a smooth cap-off of the geometry. In the UV the size of the sphere plays no role and the backgrounds asymptote to the well-known supergravity solutions that describe the near-horizon limit of flat D$p$-branes. We compute the on-shell action of our spherical brane solutions and show that it is in agreement with recent supersymmetric localization results for the free energy of maximal SYM theory on $S^{p+1}$.

arXiv comment57 pages, 4 figures; v2: minor corrections, appendix added

References in corpus (57)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Dirichlet-Branes and Ramond-Ramond Charges
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Supergravity description of field theories on curved manifolds and a no go theorem
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• Towards the large N limit of pure N=1 super Yang Mills
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• D-Branes and Topological Field Theories
• Rigid Supersymmetric Theories in Curved Superspace
• SUSY Gauge Theories on Squashed Three-Spheres
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• UV/IR Relations in AdS Dynamics
• Linear Dilatons, NS5-branes and Holography
• Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory
• New Formulations of D=10 Supersymmetry and D8-O8 Domain Walls
• The domain-wall/QFT correspondence
• Localization techniques in quantum field theories
• A brief review of "little string theories"
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
• The Supergravity Dual of N=1 Super Yang-Mills Theory
• Little String Theory in a Double Scaling Limit
• Supersymmetric String Solitons
• Duality and the Signature of Space-Time
• Continuous distributions of D3-branes and gauged supergravity
• Consistent nonlinear KK reduction of 11d supergravity on $Ad{S}_7\times S_4$ and self-duality in odd dimensions
• Consistency of the $Ad{S}_7\times S_4$ reduction and the origin of self-duality in odd dimensions
• Precision holography for non-conformal branes
• Comments on Double Scaled Little String Theory
• The string origin of dyonic $\mathcal{N}=8$ supergravity and its simple Chern-Simons duals
• The Holography of F-maximization
• $N^3$-behavior from 5D Yang-Mills theory
• The maximal D=7 supergravities
• Branes, Times and Dualities
• Perturbative partition function for a squashed S^5
• Holography for $\mathcal{N}=2^{\ast }$ on $S^4$
• Dyonic ISO(7) supergravity and the duality hierarchy
• TASI lectures on black holes in string theory
• Killing Spinors and SYM on Curved Spaces
• Supersymmetric theories on squashed five-sphere
• Branes, Calibrations and Supergravity
• Pseudo-supersymmetry and a Tale of Alternate Realities
• Holography for $\mathcal{N}=1^{\ast }$ on $S^4$
• The many faces of OSp(1|32)
• On the nonlinear KK reductions on spheres of supergravity theories
• Domain Walls of D=8 Gauged Supergravities and their D=11 Origin
• Dualising consistent IIA / IIB truncations
• Mass deformations of 5d SCFTs via holography
• Precision Holography for $\mathcal{N}=2^{\ast }$ on $S^4$ from type IIB Supergravity
• On Gauged Maximal Supergravity In Six Dimensions
• Analytic continuation of dimensions in supersymmetric localization
• Supersymmetric branes on curved spaces and fluxes
• Quantum Vacua of 2d Maximally Supersymmetric Yang-Mills Theory

Cited by in corpus (19)

• Euclidean Black Saddles and AdS${}_4$ Black Holes
• Mass Deformations of the ABJM Theory: The Holographic Free Energy
• Uplifting GPPZ: A Ten-dimensional Dual of $\mathcal{N}=1^{\ast }$
• Chern-Simons theory from M5-branes and calibrated M2-branes
• Supersymmetric Yang-Mills, Spherical Branes, and Precision Holography
• Halving ISO(7) supergravity
• The Holographic Dual of the $\Omega$-background
• Towards an "AdS${}_1/$CFT${}_0$" correspondence from the D$(-1)/$D$7$ system?
• dS Spaces and Brane Worlds in Exotic String Theories
• Supersymmetric domain walls in maximal 6D gauged supergravity I
• Wilson Loops and Spherical Branes
• Little String Theories on Curved Manifolds
• Seven-dimensional super Yang-Mills at negative coupling
• Supersymmetric domain walls in maximal 6D gauged supergravity II
• Ten-dimensional lifts of global supersymmetry on curved spaces
• Supersymmetric domain walls in maximal 6D gauged supergravity III
• Gauge theories on spheres with 16 supercharges and non-constant couplings
• Exact solutions to complex Type IIB supergravity for complex superalgebra $F(4)$ and its real forms
• Bubble instability of mIIA on ${\mathrm{AdS}}_4\times S^6$