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Supersymmetric Kaluza–Klein reductions of AdS backgrounds.” in preparation
"... Abstract. This paper contains a classification of smooth Kaluza–Klein reductions (by oneparameter subgroups) of the maximally supersymmetric anti de Sitter backgrounds of supergravity theories. We present a classification of oneparameter subgroups of isometries of anti de Sitter spaces, discuss th ..."
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Abstract. This paper contains a classification of smooth Kaluza–Klein reductions (by oneparameter subgroups) of the maximally supersymmetric anti de Sitter backgrounds of supergravity theories. We present a classification of oneparameter subgroups of isometries of anti de Sitter spaces, discuss the causal properties of their orbits on these manifolds, and discuss their action on the space of Killing spinors. We analyse the problem of which quotients admit a spin structure. We then apply these results to write down the list of smooth everywhere spacelike supersymmetric quotients of AdS3×S 3 ( × 4), AdS4×S 7, AdS5×S 5 and AdS7×S 4, and the fraction of supersymmetry preserved by each quotient. The results are summarised in tables which should be useful on their own. The paper also includes a discussion of supersymmetry of singular quotients. Contents
KaluzaKlein black holes in string theory,” arXiv:hepth/0002166
"... Nonsupersymmetric black holes carrying both electric and magnetic charge with respect to a single KaluzaKlein gauge field have much in common with supersymmetric black holes. Angular momentum conservation and other general physics principles underlies some of their basic features. KaluzaKlein bla ..."
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Nonsupersymmetric black holes carrying both electric and magnetic charge with respect to a single KaluzaKlein gauge field have much in common with supersymmetric black holes. Angular momentum conservation and other general physics principles underlies some of their basic features. KaluzaKlein black holes are interpreted in string theory as bound states of D6branes and D0branes. The microscopic theory reproduces the full nonlinear mass formula of Black holes are interpreted microscopically in string theory as bound states of explicitly specified constituents. It is therefore an important theoretical challenge to identify examples where the quantum bound state problem can be analyzed. The canonical example is the bound state of D1 and D5branes where the microscopic theory is
Exact HalfBPS Flux Solutions in Mtheory I Local Solutions 1
, 806
"... The complete elevendimensional supergravity solutions with 16 supersymmetries on manifolds of the form AdS3 ×S 3 ×S 3 ×Σ, with isometry SO(2,2)×SO(4)×SO(4), and with either AdS4 × S 7 or AdS7 × S 4 boundary behavior, are obtained in exact form. The twodimensional parameter space Σ is a Riemann sur ..."
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The complete elevendimensional supergravity solutions with 16 supersymmetries on manifolds of the form AdS3 ×S 3 ×S 3 ×Σ, with isometry SO(2,2)×SO(4)×SO(4), and with either AdS4 × S 7 or AdS7 × S 4 boundary behavior, are obtained in exact form. The twodimensional parameter space Σ is a Riemann surface with boundary, over which the product space AdS3 ×S 3 ×S 3 is warped. By mapping the reduced BPS equations to an integrable system of the sineGordon/Liouville type, and then mapping this integrable system onto a linear equation, the general local solutions are constructed explicitly in terms of one harmonic function on Σ, and an integral transform of two further harmonic functions on Σ. The solutions to the BPS equations are shown to automatically solve the Bianchi identities and field equations for the 4form field, as well as Einstein’s equations. The solutions we obtain have nonvanishing 4form field strength on each of the three factors of AdS3 ×S 3 ×S 3, and include fully backreacted M2branes in AdS7 ×S 4 and M5branes in AdS4 ×S 7. No interpolating solutions exist with mixed AdS4 × S 7 and AdS7 × S 4 boundary behavior. Global regularity of these local solutions, as well as the existence of further solutions with neither AdS4 × S 7 nor AdS7 × S 4 boundary behavior will be studied elsewhere. 1
Imperial/TP/2009/JG/06
, 907
"... Schrödinger invariant solutions of type IIB with enhanced supersymmetry ..."
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HalfBPS Supergravity . . .
, 2008
"... We establish a correspondence between certain Lie superalgebras with 16 fermionic generators, and halfBPS solutions to supergravities with 32 supersymmetries. Three cases are discussed. For Type IIB supergravity, we relate semisimple Lie superalgebras H with 16 fermionic generators which are subal ..."
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We establish a correspondence between certain Lie superalgebras with 16 fermionic generators, and halfBPS solutions to supergravities with 32 supersymmetries. Three cases are discussed. For Type IIB supergravity, we relate semisimple Lie superalgebras H with 16 fermionic generators which are subalgebras of PSU(2,24), to families of halfBPS solutions which are invariant under H, and locally asymptotic to AdS5 × S 5. Similarly, for Mtheory, we relate semisimple Lie superalgebras H with 16 fermionic generators which are subalgebras of OSp(8 ∗ 4) or OSp(84,R) to families of halfBPS solutions which are invariant under H, and locally asymptotic to AdS7×S 4 or AdS4×S 7 respectively. Possible enhancements to more than 16 supersymmetries, such as 24, are also analyzed. The classification of semisimple subalgebras of PSU(2,24), OSp(8 ∗ 4), and OSp(84,R) derived in this paper, leads us to conjecture the existence of various new families of halfBPS solutions to Type IIB supergravity and Mtheory.
The Search for a Holographic Dual to AdS3×S 3 ×S 3 ×S 1
, 2004
"... The problem of finding a holographic CFT dual to string theory on AdS3×S3 ×S3 ×S1 is examined in depth. This background supports a large N = 4 superconformal symmetry. While in some respects similar to the familiar small N = 4 systems on AdS3 × S3 × K3 and AdS3 × S3 × T 4, there are important qualit ..."
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The problem of finding a holographic CFT dual to string theory on AdS3×S3 ×S3 ×S1 is examined in depth. This background supports a large N = 4 superconformal symmetry. While in some respects similar to the familiar small N = 4 systems on AdS3 × S3 × K3 and AdS3 × S3 × T 4, there are important qualitative differences. Using an analog of the elliptic genus for large N = 4 theories we rule out all extant proposals – in their simplest form – for a holographic duality to supergravity at generic values of the background fluxes. Modifications of these extant proposals and other possible duals are discussed.