Spectrum of D = 6, N = 4b supergravity on AdS3 × S3

We construct general 2-charge D1-D5 horizon-free non-singular solutions of IIB supergravity on T 4 and K3 describing fuzzballs with excitations in the internal manifold; these excitations are characterized by arbitrary curves. The solutions are obtained via dualities from F1-P solutions of heterotic and type IIB on T 4 for the K3 and T 4 cases, respectively.We compute the holographic data encoded in these solutions, and show that the internal excitations are captured by vevs of chiral primaries associated with the middle cohomology of T 4 or K3. We argue that each geometry is dual to a specific superposition of R ground states determined in terms of the Fourier coefficients of the curves defining the supergravity solution. We compute vevs of chiral primaries associated with the middle cohomology and show that they indeed acquire vevs in the superpositions corresponding to fuzzballs with internal excitations, in accordance with the holographic results. We also address the question of whether the fuzzball program can be implemented consistently within supergravity.

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“…Next let us briefly review the linearized spectrum derived in [30], focusing on fields dual to chiral primaries. Consider first the scalars.…”

Section: Holographic Relations For Vevsmentioning

confidence: 99%

“…For later purposes it will be useful to review which other operators are SO(4) singlets. The computation of the linearized spectrum in [30] picks out the following as SO(4) singlets: there are sixteen such operators, in correspondence with sixteen of the supergravity fields.…”

Section: Let Us Denote By (O Smentioning

confidence: 99%

Fuzzballs with internal excitations

Kanitscheider

Skenderis

Taylor

2007

J. High Energy Phys.

193

387

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“…After Wick rotation and choosing appropriate boundary conditions they can be written as φ(x µ ) = dp e ip x φ p (z) = dp e ip x φ B (p) 23) with the renormalized Bessel function…”

Section: Scalar Two-point Functionmentioning

confidence: 99%

“…Similar KK techniques have been applied in [23] to the study of supergravity harmonics on AdS 3 × S 3 . We will mainly concentrate on the states corresponding to the second and fourth column of table 3 which cannot be derived from the IIA results of the last section, cf.…”

Section: Linearized Equation Of Motions Via Reduction From Adsmentioning

confidence: 99%

Supergravity Duals of Matrix String Theory

Morales¹,

Samtleben²

2002

J. High Energy Phys.

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We study holographic duals of type II and heterotic matrix string theories described by warped AdS 3 supergravities. By explicitly solving the linearized equations of motion around near horizon D-string geometries, we determine the spectrum of Kaluza-Klein primaries for type I, II supergravities on warped AdS 3 × S 7 . The results match those coming from the dual two-dimensional gauge theories living on the D-string worldvolumes. We briefly discuss the connections with the N = (8, 8), N = (8, 0) orbifold superconformal field theories to which type IIB/heterotic matrix strings flow in the infrared. In particular, we associate the dimension (h,h) = ( 3 2 , 3 2 ) twisted operator which brings the matrix string theories out from the conformal point (R 8 ) N /S N with the dilaton profile in the supergravity background.The familiar dictionary between masses and "scaling" dimensions of field and operators are modified by the presence of non-trivial warp factors and running dilatons. These modifications are worked out for the general case of domain wall/QFT correspondences between supergravities on warped AdS d+1 × S q geometries and super Yang-Mills theories with 16 supercharges.

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“…The coordinates (25) and (27) are related by replacing Y by − Y , i.e. z s is related to z by going to the antipodal point in the sphere, according to the definition of z s after (10).…”

Section: The Relevant Weyl Transformation In a D-dimensional Manifold Ismentioning

confidence: 99%

On the propagator of a scalar field in AdS × S and in its plane wave limit

Dorn¹,

Salizzoni²,

Sieg³

2005

J. High Energy Phys.

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We discuss the scalar propagator on generic AdS d+1 × S d ′ +1 backgrounds. For the conformally flat situations and masses corresponding to Weyl invariant actions, the propagator is powerlike in the sum of the chordal distances with respect to AdS d+1 and S d ′ +1 . In these cases we analyze its source structure. In all other cases the propagator depends on both chordal distances separately. There an explicit formula is found for certain special mass values. For pure AdS we show how the well known propagators in the Weyl invariant case can be expressed as linear combinations of simple powers of the chordal distance. For AdS 5 × S 5 we relate our propagator to the expression in the plane wave limit and find a geometric interpretation of the variables occurring in the known explicit construction on the plane wave. As a byproduct of comparing different techniques, including the KK mode summation, a theorem for summing certain products of Legendre and Gegenbauer functions is derived.

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Spectrum of D = 6, N = 4b supergravity on AdS3 × S3

Cited by 145 publications

References 21 publications

Fuzzballs with internal excitations

Fuzzballs with internal excitations

Supergravity Duals of Matrix String Theory

On the propagator of a scalar field in AdS × S and in its plane wave limit

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