Spectrum of type IIB supergravity on <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">AdS</mi></mrow><mrow><mn>5</mn></mrow></msub></mrow><mo>×</mo><mrow><msup><mrow><mi mathvariant="normal">T</mi></mrow><mrow><mn>11</mn></mrow></msup></mrow><mo>:</mo></math></span> Predictions on <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="bold-script">N</mi><mo>=</mo><mn>1</mn><mn></mn><mi></mi><mi mathvariant="normal">SCFT</mi><mi mathvariant="normal">’</mi><mi mathvariant="normal">s</mi></math></span>

Anna Ceresole; Gianguido Dall’Agata; Riccardo D’Auria; Sergio Ferrara

doi:10.1103/PhysRevD.61.066001

Spectrum of type IIB supergravity on ${AdS}_{5} \times T^{11} :$ Predictions on $N = 1 SCFT ’ s$

Anna Ceresole, Gianguido Dall’Agata, Riccardo D’Auria, and Sergio Ferrara

Phys. Rev. D 61, 066001 – Published 14 February 2000

Abstract

We derive the full Kaluza-Klein spectrum of type IIB supergravity compactified on ${AdS}_{5} {\times T}^{11}$ with $T^{11} = S U (2) \times SU (2) / U (1) .$ From the knowledge of the spectrum and general multiplet shortening conditions, we make a refined test of the AdS-CFT correspondence, by comparison between various shortenings of $S U (2, 2 | 1)$ 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 to occur in the SCFT at leading order in N and $g_{s} N .$

Received 14 June 1999

DOI:https://doi.org/10.1103/PhysRevD.61.066001

Authors & Affiliations

Anna Ceresole^*

Dipartimento di Fisica, Politecnico di Torino, C.so Duca degli Abruzzi, 24, I-10129 Torino, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Torino, Torino, Italy

Gianguido Dall’Agata^†

Dipartimento di Fisica Teorica, Università di Torino, Torino, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Torino, via P. Giuria 1, I-10125 Torino, Italy

Riccardo D’Auria^‡

Dipartimento di Fisica, Politecnico di Torino, C.so Duca degli Abruzzi, 24, I-10129 Torino, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Torino, Torino, Italy

Sergio Ferrara^§

TH Division, CERN, 1211 Geneva 23, Switzerland
Ecole Normale Superieure, Laboratoire de Physique Théorique, 24 rue Lhomond. F-75231 Paris CEDEX 05, France

^*Email address: ceresole@athena.polito.it
^†Email address: dallagat@to.infn.it
^‡Email address: dauria@polito.it
^§Email address: sergio.ferrara@cern.ch

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Vol. 61, Iss. 6 — 15 March 2000

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Physical Review D

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