Two particle spectrum of tensor multiplets coupled to AdS3×S3 gravity

Aprile, Francesco and Santagata, Michele (2021) Two particle spectrum of tensor multiplets coupled to AdS3×S3 gravity. Physical Review D, 104 (12), [126022]. (doi:10.1103/PhysRevD.104.126022).

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Abstract

We study certain infinite families of two-particle operators exchanged in 4pt correlators ⟨Op1Op2Op3Op4⟩ of tensor multiplets living on the AdS3×S3 background. This is the weakly curved, weakly coupled SUGRA theory dual to the D1-D5 system with RR flux. At tree level in Mellin space, all these correlators are nicely determined by a single amplitude, which makes manifest the large p limit, the connection with the flat space S-matrix, and a six dimensional conformal symmetry. We compute the (1,1)×¯¯¯¯¯¯¯¯¯(1,1) superconformal blocks for the two-dimensional N=(4,4) conformal theory at the boundary, and then we obtain a formula for the anomalous dimensions of the two-particle operators exchanged in the symmetric and antisymmetric flavor channels. These anomalous dimensions solve a mixing problem which is analogous to the one in AdS5×S5 with interesting modifications. Along the way we show how the (1,1)×¯¯¯¯¯¯¯¯¯(1,1) superconformal blocks relate to those in N=4 SYM in four dimensions, and provide new intuition on the known data for AdS5×S5.

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Accepted/In Press date: 5 December 2021

Published date: 23 December 2021

Additional Information: Funding Information: We thank J. M. Drummond, P. Heslop and P. Vieira for many discussions, and especially S. Giusto, R. Russo and the authors of for providing important feedback and sharing their draft with us. M. S. thanks D. Bufalini, H. Paul and S. Rawash for discussion. F. A. is partially supported by the ERC-STG Grant No. 637844- HBQFTNCER, and M. S. by a Mayflower studentship from the University of Southampton. Publisher Copyright: © of tensor multiplets living on the AdS3×S3 background. This is the weakly curved, weakly coupled SUGRA theory dual to the D1-D5 system with RR flux. At tree level in Mellin space, all these correlators are nicely determined by a single amplitude, which makes manifest the large p limit, the connection with the flat space S-matrix, and a six dimensional conformal symmetry. We compute the (1,1)×(1,1)¯ superconformal blocks for the two-dimensional N=(4,4) conformal theory at the boundary, and then we obtain a formula for the anomalous dimensions of the two-particle operators exchanged in the symmetric and antisymmetric flavor channels. These anomalous dimensions solve a mixing problem which is analogous to the one in AdS5×S5 with interesting modifications. Along the way we show how the (1,1)×(1,1)¯ superconformal blocks relate to those in N=4 SYM in four dimensions, and provide new intuition on the known data for AdS5×S5.

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