Supersymmetric backgrounds from 5d N=1 supergravity

Abstract

We construct curved backgrounds with Euclidean signature admitting rigid supersymmetry by using a 5d N=1 off-shell Poincare supergravity. We solve the conditions for the background Weyl multiplet and vector multiplets that preserve at least one supersymmetry parameterized by a symplectic Majorana spinor, and represent the solution in terms of several independent fields. We also show that the partition function does not depends on the local degrees of freedom of the background fields. Namely, as far as we focus on a single coordinate patch, we can freely change the independent fields by combining Q-exact deformations and gauge transformations. We also discuss realization of several known examples of supersymmetric theories in curved backgrounds by using the supergravity.

31 pages, no figures; v2: references added

References in corpus (45)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
• The Exact Superconformal R-Symmetry Extremizes Z
• Rigid Supersymmetric Theories in Curved Superspace
• SUSY Gauge Theories on Squashed Three-Spheres
• Notes on SUSY Gauge Theories on Three-Sphere
• The complete superconformal index for N=6 Chern-Simons theory
• Index for three dimensional superconformal field theories with general R-charge assignments
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
• Supersymmetric Field Theories on Three-Manifolds
• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• M5-branes from gauge theories on the 5-sphere
• The Geometry of Supersymmetric Partition Functions
• Supersymmetry on Curved Spaces and Holography
• N=2 supergravity in five dimensions revisited
• All supersymmetric solutions of minimal gauged supergravity in five dimensions
• Exploring Curved Superspace
• Supersymmetric Gauge Theories on the Five-Sphere
• Seiberg-Witten Theories on Ellipsoids
• Twisted supersymmetric 5D Yang-Mills theory and contact geometry
• Off-shell d=5 Supergravity coupled to Matter-Yang-Mills System
• Superconformal Tensor Calculus in Five Dimensions
• Weyl multiplets of N=2 conformal supergravity in five Dimensions
• $N^3$-behavior from 5D Yang-Mills theory
• Supergravity Tensor Calculus in 5D from 6D
• Minimal Off-Shell Supergravity in Five Dimensions
• Supersymmetry in Lorentzian Curved Spaces and Holography
• 3d Chern-Simons Theory from M5-branes
• Localization on Three-Manifolds
• Exploring Curved Superspace (II)
• 3d TQFT from 6d SCFT
• All Off-Shell R^2 Invariants in Five Dimensional N=2 Supergravity
• Rigid supersymmetric theories in 4d Riemannian space
• 5D SYM and 2D q-Deformed YM
• 5D SYM on 3D Sphere and 2D YM
• Rigidly Supersymmetric Gauge Theories on Curved Superspace
• Global Supersymmetry on Curved Spaces in Various Dimensions
• Supersymmetric Gauge Theories on a Squashed Four-Sphere
• N=1 Sigma Models in AdS_4
• Rigid Supersymmetry on 5-dimensional Riemannian Manifolds and Contact Geometry
• An off-shell formulation for internally gauged D=5, N=2 supergravity from superconformal methods

Cited by in corpus (16)

• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• 5d Partition Functions with A Twist
• Supersymmetric gauge theories on squashed five-spheres and their gravity duals
• Supersymmetric Rényi Entropy in Five Dimensions
• A slow review of the AGT correspondence
• Symmetries of curved superspace in five dimensions
• Introduction to localization in quantum field theory
• 5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry
• N=2 supersymmetric gauge theory on connected sums of $S^2\times S^2$
• Supersymmetric gauge theories on five-manifolds
• Supersymmetric solutions to Euclidean Romans supergravity
• Rigid Supersymmetry from Conformal Supergravity in Five Dimensions
• Supersymmetry anomalies in new minimal supergravity
• Partition Functions and Fibering Operators on the Coulomb Branch of 5d SCFTs
• Exact Results for SYM on $Y^{p,q}$ and $S^2\times S^2$ with Conical Singularities
• Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions