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On Lagrangians and gaugings of maximal supergravities
 Nucl. Phys. B
"... A consistent gauging of maximal supergravity requires that the Ttensor transforms according to a specific representation of the duality group. The analysis of viable gaugings is thus amenable to grouptheoretical analysis, which we explain and exploit for a large variety of gaugings. We discuss the ..."
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Cited by 76 (19 self)
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A consistent gauging of maximal supergravity requires that the Ttensor transforms according to a specific representation of the duality group. The analysis of viable gaugings is thus amenable to grouptheoretical analysis, which we explain and exploit for a large variety of gaugings. We discuss the subtleties in four spacetime dimensions, where the ungauged Lagrangians are not unique and encoded in an E7(7)\Sp(56; R)/GL(28) matrix. Here we define the Ttensor and derive all relevant identities in full generality. We present a large number of examples in d = 4, 5 spacetime dimensions which include nonsemisimple gaugings of the type arising in (multiple) ScherkSchwarz reductions. We also present some general background material on the latter as well as some grouptheoretical results which are necessary for Maximal supergravity theories contain a number of vector gauge fields which have an optional coupling to themselves as well as to other supergravity fields. The corresponding
An exact holographic RG flow between 2d conformal fixed points
 JHEP
"... We describe a supersymmetric RG flow between conformal fixed points of a twodimensional quantum field theory as an analytic domain wall solution of the threedimensional SO(4)×SO(4) gauged supergravity. Its ultraviolet fixed point is an N =(4,4) superconformal field theory related, through the doub ..."
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Cited by 27 (10 self)
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We describe a supersymmetric RG flow between conformal fixed points of a twodimensional quantum field theory as an analytic domain wall solution of the threedimensional SO(4)×SO(4) gauged supergravity. Its ultraviolet fixed point is an N =(4,4) superconformal field theory related, through the double D1D5 system, to theories modeling the statistical mechanics of black holes. The flow is driven by a relevant operator of conformal dimension ∆ = 3 2 which breaks conformal symmetry and breaks supersymmetry down to N =(1,1), and sends the theory to an infrared conformal fixed point with central charge cIR = cUV/2. Using the supergravity description, we compute counterterms, onepoint functions and fluctuation equations for inert scalars and vector fields, providing the complete framework to compute twopoint correlation functions of the corresponding operators throughout the flow in the twodimensional quantum field theory. This produces a toy model for flows of N = 4 super YangMills theory in 3+1 dimensions, where conformaltoconformal flows have resisted analytical solution.
Deformations of gauged SO(8) supergravity and supergravity
 in eleven dimensions,” JHEP 1305 (2013) 077 [arXiv:1302.6219 [hepth
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Multiple Membranes from Gauged Supergravity
, 2008
"... Starting from gauged N = 8 supergravity in three dimensions we construct actions for multiple membranes by taking the limit to global supersymmetry for different choices of the embedding tensor. This provides a general framework that reproduces many recent results on multiple membrane actions as wel ..."
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Cited by 19 (4 self)
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Starting from gauged N = 8 supergravity in three dimensions we construct actions for multiple membranes by taking the limit to global supersymmetry for different choices of the embedding tensor. This provides a general framework that reproduces many recent results on multiple membrane actions as well as generalisations thereof. As examples we discuss conformal (nonconformal) gaugings leading to multiple M2branes (D2branes) and massive deformations of these systems.
Cosmological backgrounds of superstring theory and solvable algebras: Oxidation and branes
 Nucl. Phys. B
, 2004
"... We develop a systematic algorithm to construct, classify and study exact solutions of type II A/B supergravity which are time–dependent and homogeneous and hence represent candidate cosmological backgrounds. Using the formalism of solvable Lie algebras to represent the geometry of non–compact coset ..."
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Cited by 18 (7 self)
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We develop a systematic algorithm to construct, classify and study exact solutions of type II A/B supergravity which are time–dependent and homogeneous and hence represent candidate cosmological backgrounds. Using the formalism of solvable Lie algebras to represent the geometry of non–compact coset manifolds U/H we are able to reduce the supergravity field equations to the geodesic equations in U/H and rephrase these latter in a completely algebraic setup by means of the so called Nomizu operator representation of covariant derivatives in solvable group manifolds. In this way a systematic method of integration of supergravity equations is provided. We show how the possible D = 3 solutions are classified by non–compact subalgebras G ⊂ E 8(8) and their ten–dimensional physical interpretation (oxidation) depends on the classification of the different embeddings G ֒ → E 8(8). We give some preliminary examples of explicit solutions based on the simplest choice G = A2. We also show how, upon oxidation, these solutions provide a smooth and exact realization of the bouncing phenomenon on Weyl chamber walls envisaged by the cosmological billiards of Damour et al. We also show how this physical
DBrane WessZumino Terms and UDuality
 JHEP 1011 (2010) 139. [arXiv:1009.4657 [hepth
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The SU(3)invariant sector of new maximal supergravity
"... We investigate the SU(3)invariant sector of the oneparameter family of SO(8)gauged maximal supergravities that has been recently discovered. To this end, we construct the N = 2 truncation of this theory and analyse its full vacuum structure. The number of critical point is doubled and includes ne ..."
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Cited by 12 (3 self)
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We investigate the SU(3)invariant sector of the oneparameter family of SO(8)gauged maximal supergravities that has been recently discovered. To this end, we construct the N = 2 truncation of this theory and analyse its full vacuum structure. The number of critical point is doubled and includes new N = 0 and N = 1 branches. We numerically exhibit the parameter dependence of the location and cosmological constant of all extrema. Moreover, we provide their analytic expressions for cases of special interest. Finally, while the mass spectra are found to be parameter independent in most cases, we show that the novel nonsupersymmetric branch with SU(3) invariance provides the first counterexample to this. ar X iv
Nonlinear KaluzaKlein theory for dual fields,” arXiv:1309.0266 [hepth
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On the infinitedimensional spin2 symmetries
 in KaluzaKlein theories,” Phys. Rev. D 73 (2006) 044003 [arXiv:hepth/0511165
"... We consider the couplings of an infinite number of spin2 fields to gravity appearing in KaluzaKlein theories. They are constructed as the broken phase of a massless theory possessing an infinitedimensional spin2 symmetry. Focusing on a circle compactification of fourdimensional gravity we show ..."
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Cited by 10 (6 self)
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We consider the couplings of an infinite number of spin2 fields to gravity appearing in KaluzaKlein theories. They are constructed as the broken phase of a massless theory possessing an infinitedimensional spin2 symmetry. Focusing on a circle compactification of fourdimensional gravity we show that the resulting gravity/spin2 system in D = 3 has in its unbroken phase an interpretation as a ChernSimons theory of the KacMoody algebra ̂ iso(1,2) associated to the Poincaré group and also fits into the geometrical framework of algebravalued differential geometry developed by Wald. Assigning all degrees of freedom to scalar fields, the matter couplings in the unbroken phase are determined, and it is shown that their global symmetry algebra contains the Virasoro algebra together with an enhancement of the Ehlers group SL(2, R) to its affine extension. The broken phase is then constructed by gauging a subgroup of the global symmetries. It is shown that metric, spin2 fields and KaluzaKlein vectors combine into a ChernSimons theory for an extended
A Note on E11 and Threedimensional Gauged Supergravity
, 2008
"... We determine the gauge symmetries of all p–forms in maximal threedimensional gauged supergravity (0 ≤ p ≤ 3) by requiring invariance of the Lagrangian. It is shown that in a particular ungauged limit these symmetries are in precise correspondence to those predicted by the veryextended KacMoody al ..."
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Cited by 9 (2 self)
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We determine the gauge symmetries of all p–forms in maximal threedimensional gauged supergravity (0 ≤ p ≤ 3) by requiring invariance of the Lagrangian. It is shown that in a particular ungauged limit these symmetries are in precise correspondence to those predicted by the veryextended KacMoody algebra E11. We demonstrate that whereas in the ungauged limit the bosonic gauge algebra closes offshell, the closure is only onshell in the full gauged theory. This underlines the importance of dynamics for understanding the KacMoody origin of the symmetries of gauged supergravity.