Spectrum of type IIB supergravity onAdS5×T11:Predictions on

Anna Ceresole

¹

,

Gianguido Dall’Agata

²

,

Riccardo D’Auria

³

et al.

Abstract

We derive the full Kaluza-Klein spectrum of type IIB supergravity compactified on AdS 5 ×T 11 with. From the knowledge of the spectrum and general multiplet shortening conditions, we make a refined test of the AdS/CF T correspondence, by comparison between various shortenings of SU (2, 2|1) supermultiplets on AdS 5 and different families of boundary operators with protected dimensions. Additional towers of long multiplets with rational dimensions, that are not protected by supersymmetry, are also predicted from the supergravity analysis.

Inflation and String Theory

“…The exponents ∆(L) have been computed in detail in [42], building on a spectroscopic analysis of perturbations on AdS 5 × T 1,1 [641]. We briefly summarize the results.…”

“…Taking into account selection rules [640,641] for the angular quantum numbers, the first few scaling dimensions are…”

Gravity dual of the chiral anomaly

“…Because the R-symmetry is realized geometrically by invariance under a rigid shift of the angle β, it becomes a local symmetry in the full gravity theory, and the associated gauge fields A = A µ dx µ appear as fluctuations of the ten-dimensional metric and RR four-form potential [19,20]. The natural metric ansatz is of the familiar Kaluza-Klein form:…”

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“…These axions lie in the Betti hypermultiplet, which is identified with Tr(W 2 1 − W 2 2 ) in the dual SCFT [9,41], and are dual to marginal operators with dimension ∆ = 4. The expansion (2.17) also has a free integration constant c 1 which corresponds to an operator of dimension ∆ = 6 acquiring an expectation value.…”