AdS Solutions Through Transgression

Abstract

We present new classes of explicit supersymmetric AdS_3 solutions of type IIB supergravity with non-vanishing five-form flux and AdS_2 solutions of D=11 supergravity with electric four-form flux. The former are dual to two-dimensional SCFTs with (0,2) supersymmetry and the latter to supersymmetric quantum mechanics with two supercharges. We also investigate more general classes of AdS_3 solutions of type IIB supergravity and AdS_2 solutions of D=11 supergravity which in addition have non-vanishing three-form flux and magnetic four-form flux, respectively. The construction of these more general solutions makes essential use of the Chern-Simons or "transgression" terms in the Bianchi identity or the equation of motion of the field strengths in the supergravity theories. We construct infinite new classes of explicit examples and for some of the type IIB solutions determine the central charge of the dual SCFTs. The type IIB solutions with non-vanishing three-form flux that we construct include a two-torus, and after two T-dualities and an S-duality, we obtain new AdS_3 solutions with only the NS fields being non-trivial.

35 pages; v2: references added

References in corpus (16)

• 1/2-BPS states in M theory and defects in the dual CFTs
• Supersymmetric AdS_3, AdS_2 and Bubble Solutions
• Sasaki-Einstein Metrics on S^2 x S^3
• AdS spacetimes from wrapped M5 branes
• Bubbling Defect CFT's
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• Supersymmetric AdS_3 solutions of type IIB supergravity
• Comments on AdS2 solutions of D=11 Supergravity
• The S-parameter in Holographic Technicolor Models
• New supersymmetric AdS_3 solutions
• A description of 1/4 BPS configurations in minimal type IIB SUGRA
• 1/8 BPS States in Ads/CFT
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• BPS states in type IIB SUGRA with $SO(4)\times SO(2)_{gauged} symmetry
• Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
• AdS spacetimes from wrapped D3-branes

Cited by in corpus (38)

• A Universal Counting of Black Hole Microstates in AdS${}_4$
• Two-dimensional SCFTs from D3-branes
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• BPS Black Holes in AdS4 from M-theory
• F-theory and AdS_3/CFT_2
• A geometric dual of $c$-extremization
• F-theory and AdS_3/CFT_2 (2,0)
• Toric geometry and the dual of $c$-extremization
• Supersymmetric ${\mathrm{AdS}}_3$ supergravity backgrounds and holography
• Holography of BPS surface operators
• Exact Half-BPS Flux Solutions in M-theory III: Existence and rigidity of global solutions asymptotic to AdS4 x S7
• AdS_3 x S^3 x S^3 x S^1 Solutions of Type IIB String Theory
• On supersymmetric AdS${}_3$ solutions of Type II
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• Aspects of AdS${}_2$ classification in M-theory: Solutions with mesonic and baryonic charges
• Betti multiplets, flows across dimensions and c-extremization
• On AdS${}_3$ solutions of Type IIB
• Supersymmetric quantum criticality supported by baryonic charges
• Wrapped Brane Solutions in Romans $F(4)$ Gauged Supergravity
• Twisted $\mathcal{N}=1$ SCFTs and their AdS${}_3$ duals
• Flowing from $Ad{S}_5$ to $Ad{S}_3$ with $T^{1,1}$
• Supersymmetric AdS_3 solutions in Heterotic Supergravity
• Global half-BPS $Ad{S}_2\times S^6$ solutions in Type IIB
• Generalized geometry of two-dimensional vacua
• AdS${}_5$ black strings in the stu model of FI-gauged $N=2$ supergravity
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• The Backreacted Kähler Geometry of Wrapped Branes
• $\mathcal{I}$/$c$-Extremization in M/F-Duality
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Static M-horizons
• Superconformal Symmetry in the Kaluza-Klein Spectrum of Warped AdS(3)
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• Uplifting dyonic AdS${}_4$ black holes on seven-dimensional Sasaki-Einstein manifolds
• From N=2 in four dimensions to (0,2) in two dimensions
• AdS backgrounds from black hole horizons
• Holographic duality and applications
• Kahler-Einstein and Kahler scalar flat supermanifolds
• On the Search for Multicenter AdS Black Holes from M-theory