REVIEW 9 cited by
Equivariant localization for D=4 gauged supergravity
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Equivariant localization for D=4 gauged supergravity
read the original abstract
We consider supersymmetric solutions of $D=4$, $\mathcal{N}=2$ Euclidean gauged supergravity coupled to an arbitrary number of vector multiplets. Such solutions admit an R-symmetry Killing vector, $\xi$, constructed as a bilinear in the Killing spinor. The Killing spinor bilinears can also be used to construct polyforms that are equivariantly closed under the action of the equivariant exterior derivative $\mathrm{d}_\xi=\mathrm{d}-\xi\mathbin{\rule[.2ex]{.4em}{.03em}\rule[.2ex]{.03em}{.9ex}}\,$. This allows one to compute various flux integrals and the on-shell action using localization, without solving any supergravity equations, just assuming the supersymmetric solutions exist. The flux integrals allow one to obtain important UV-IR relations, relating fixed point data in the bulk to data on the asymptotic AdS boundary, allowing one to express the gravitational free energy in terms of boundary SCFT data. We illustrate the formalism with a number of examples, including classes of solutions which are unlikely to ever be constructed in closed form.
Forward citations
Cited by 9 Pith papers
-
Odd-Dimensional Localization in Supergravity
The on-shell action of odd-dimensional supergravity with Chern-Simons terms localizes to fixed points via relative equivariant cohomology, yielding a universal formula matching M5-brane and black ring physics.
-
Ten-dimensional localization
Equivariantly closed polyforms for type II Page fluxes and actions enable direct 10D localization of on-shell actions and flux quantization for minimally supersymmetric backgrounds.
-
Probing black holes with equivariant localization
Equivariant localization computes probe D3-brane actions in uplifted Kerr-Newman-AdS5 supergravity backgrounds, reducing them to toric-data integrals for SCFT indices.
-
Equivariant localization for $D=5$ gauged supergravity
A method is given to compute the D=5 on-shell action via equivariant localization after dimensional reduction to D=4 N=2 gauged supergravity for solutions admitting both the R-symmetry Killing vector and an additional...
-
Towards OSV in AdS
Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.
-
The superconformal index and localizing higher derivative supergravity
Equivariant localization computes the on-shell action of D=5 AdS rotating charged black holes in higher-derivative supergravity, exactly matching the dual superconformal index in the Cardy limit.
-
Equivariant localization for higher derivative supergravity
Equivariantly closed forms in D=4 N=2 conformal supergravity allow closed-form supersymmetric observables in higher derivative theories without solving equations of motion.
-
Membrane instantons and non-perturbative effects in $\mathrm{AdS}_{4}/\mathrm{CFT}_{3}$
Establishes equivalence of BPS conditions for M2-branes to associativity in G2-structures and computes one-loop partition functions via transversely elliptic complexes for invariant cycles in Sasaki-Einstein manifolds...
-
Membrane instantons and non-perturbative effects in $\mathrm{AdS}_{4}/\mathrm{CFT}_{3}$
BPS conditions for M2-branes wrapping cycles in weak G2 manifolds are equivalent to associativity, with one-loop effects for invariant cycles in Sasaki-Einstein orbifolds expressed via equivariant indices and recoveri...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.