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arXiv:0903.xxxx A Note on Holographic Renormalization of Probe DBranes
, 903
"... A great deal of progress has been recently made in the study of holography for nonconformal branes. Considering the nearhorizon limit of backgrounds generated by such branes, we discuss the holographic renormalization of probe Dbranes in these geometries. More specifically, we discuss in some det ..."
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A great deal of progress has been recently made in the study of holography for nonconformal branes. Considering the nearhorizon limit of backgrounds generated by such branes, we discuss the holographic renormalization of probe Dbranes in these geometries. More specifically, we discuss in some detail systems with a codimensionone defect. For this class of systems, the mode which describes the probe branes wrapping a maximal S2 in the transverse space behaves like a free massive scalar propagating in a higherdimensional (asymptotically) AdSq + 1space. The counterterms needed are then the ones of a free massive scalar in asymptotically AdSq+1. The original problem can be recovered by compactifying the asymptotically AdSspace on a torus and finally performing the analytic continuation of q to the value of interest, which can be fractional. We compute the onepoint correlator for the operator dual to the embedding function. We finally comment on holographic renormalization in the more general cases of codimensionk defects (k = 0, 1, 2). In all the cases the embedding function exhibits the behaviour of a free massive scalar in an AdSspace and, therefore, the procedure outlined before can be straightforwardly applied. Our analysis completes the discussion of
On gauged maximal supergravity in six dimensions
"... The bosonic sector of maximal SO(5) gauged D=7 supergravity is dimensionally reduced to six dimensions yielding a new SO(5) gauged D=6 model. It is shown that, unlike in D=7, the SO(5) gauge coupling constant can be taken to zero to yield the bosonic sector of the maximally extended supergravity in ..."
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The bosonic sector of maximal SO(5) gauged D=7 supergravity is dimensionally reduced to six dimensions yielding a new SO(5) gauged D=6 model. It is shown that, unlike in D=7, the SO(5) gauge coupling constant can be taken to zero to yield the bosonic sector of the maximally extended supergravity in six dimensions. It is also shown that the limit of D=5 N=4 SU(2)×U(1) gauged supergravity in which the U(1) coupling constant is turned off can be obtained.
Counting BPS blackholes in toroidal type II string theory,” arXiv:hepth/9903163
"... We derive a Uduality invariant formula for the degeneracies of BPS multiplets in a D1D5 system for toroidal compactification of the type II string. The elliptic genus for this system vanishes, but it is found that BPS states can nevertheless be counted using a certain topological partition functio ..."
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We derive a Uduality invariant formula for the degeneracies of BPS multiplets in a D1D5 system for toroidal compactification of the type II string. The elliptic genus for this system vanishes, but it is found that BPS states can nevertheless be counted using a certain topological partition function involving two insertions of the fermion number operator. This is possible due to four extra toroidal U(1) symmetries arising from a Wigner contraction of a large N = 4 algebra Aκ,κ ′ for κ ′ → ∞. We also compare the answer with a counting formula derived from supergravity on AdS3 × S3 × T 4 and find agreement within the expected range of validity
Integrability and the AdS3/CFT2 correspondence
, 912
"... Copyright & reuse City University London has developed City Research Online so that its users may access the research outputs of City University London's staff. Copyright © and Moral Rights for this paper are retained by the individual author(s) and / or other copyright holders. All materia ..."
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Copyright & reuse City University London has developed City Research Online so that its users may access the research outputs of City University London's staff. Copyright © and Moral Rights for this paper are retained by the individual author(s) and / or other copyright holders. All material in City Research Online is checked for eligibility for copyright before being made available in the live archive. URLs from City Research Online may be freely distributed and linked to from other web pages. Versions of research The version in City Research Online may differ from the final published version. Users are advised to check the Permanent City Research Online URL above for the status of the paper. Enquiries If you have any enquiries about any aspect of City Research Online, or if you wish to make contact with the author(s) of this paper, please email the team at publications@city.ac.uk.ITEPTH59/09
Properties of branes in curved spacetimes
, 2003
"... A generic property of curved manifolds is the existence of focal points. We show that branes located at focal points of the geometry satisfy special properties. Examples of backgrounds to which our discussion applies are AdSm×S n and plane wave backgrounds. As an example, we show that a pair of AdS2 ..."
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A generic property of curved manifolds is the existence of focal points. We show that branes located at focal points of the geometry satisfy special properties. Examples of backgrounds to which our discussion applies are AdSm×S n and plane wave backgrounds. As an example, we show that a pair of AdS2 branes located at the north and south pole of the S 5 in AdS5×S 5 are half supersymmetric and that they are dual to a twomonopole solution of N = 4 SU(N) SYM theory. Our second example involves spacelike branes in the (Lorentzian) plane wave. We develop a modified lightcone gauge for the open string channel, analyze in detail the cylinder diagram and establish openclosed duality. In the new gauge the open string feels an inverted harmonic oscillator potential. When the branes are located at focal points of the geometry the amplitude acquires most of the characteristics of flat space amplitudes. In the open string channel the special properties are due to stringy modes that become massless. Contents 1
Euclidean FreedmanSchwarz model
 Nucl.Phys., B
, 2000
"... The N=4 gauged SU(2)×SU(1,1) supergravity in fourdimensional Euclidean space is obtained via a consistent dimensional reduction of the N=1, D=10 supergravity on S 3 × AdS3. The dilaton potential in the theory is proportional to the difference of the two gauge coupling constants, which is due to the ..."
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The N=4 gauged SU(2)×SU(1,1) supergravity in fourdimensional Euclidean space is obtained via a consistent dimensional reduction of the N=1, D=10 supergravity on S 3 × AdS3. The dilaton potential in the theory is proportional to the difference of the two gauge coupling constants, which is due to the opposite signs of the curvatures of S 3 and AdS3. As a result, the potential can be positive, negative, or zero – depending on the values of the constants. A consistent reduction of the fermion supersymmetry transformations is performed at the linearized level, and special attention is paid to the Euclidean Majorana condition. A further reduction of the D=4 theory is considered to the static, purely magnetic sector, where the vacuum solutions are studied. The Bogomol’nyi equations are derived and their essentially nonAbelian monopoletype and sphalerontype solutions are presented. Any solution in the theory can be uplifted to become a vacuum of string or Mtheory. 1
Holography of DBrane Reconnection
"... Gukov, Martinec, Moore and Strominger found that the D1D5D5 ′ system with the D5D5 ′ angle at 45 degrees admits a deformation ρ preserving supersymmetry. Under this deformation, the D5branes and D5’branes reconnect along a single special Lagrangian manifold. We construct the nearhorizon limit ..."
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Gukov, Martinec, Moore and Strominger found that the D1D5D5 ′ system with the D5D5 ′ angle at 45 degrees admits a deformation ρ preserving supersymmetry. Under this deformation, the D5branes and D5’branes reconnect along a single special Lagrangian manifold. We construct the nearhorizon limit of this brane setup (for which no supergravity solution is currently known), imposing the requisite symmetries perturbatively in the deformation ρ. Reducing to the threedimensional effective gauged supergravity, we compute the scalar potential and verify the presence of a deformation with the expected properties. We compute the conformal dimensions as functions of ρ. This spectrum naturally organizes into N = 3 supermultiplets, corresponding to the 3/16 preserved by the brane system. We give some remarks on the symmetric orbifold CFT for QD5 = Q D5 ′, outline the computation of ρdeformed correlators in this theory, and probe computations in our ρdeformed background.
On the Breaking of Conformal Symmetry in the AdS/CFT Correspondence, Phys. Lett. B433
 Conformal Field Theory Correlators from Classical Field Theory on Antide Sitter Space II. Vector and Spinor
, 1998
"... The renormalization of the boundary action in the AdS/CFT correspondence is considered and the breaking of conformal symmetry is discussed. 1 1 ..."
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The renormalization of the boundary action in the AdS/CFT correspondence is considered and the breaking of conformal symmetry is discussed. 1 1
From AdS to Schrödinger/Lifshitz dual spacetimes without or with hyperscaling violation
 JHEP 1311, 113 (2013) [arXiv:1306.1071 [hepth
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