We find the gravity duals to an infinite series of N=3 Chern-Simons quiver theories. They are AdS_4 x M_7 vacua of M-theory, with M_7 in a certain class of 3-Sasaki-Einstein manifolds obtained by a quotient construction. The field theories can be engineered from a brane configuration; their geometry is summarized by a "hyperKaehler toric fan" that can be read off easily from the relative angles of the branes. The singularity at the tip of the cone over M_7 is generically not an orbifold. The simplest new manifolds we consider can be written as the biquotient U(1)\U(3)/U(1). We also comment on the relation between our theories and four-dimensional N=1 theories with the same quiver.

Jafferis, D., Tomasiello, A. (2008). A Simple class of N=3 gauge/gravity duals. JOURNAL OF HIGH ENERGY PHYSICS, 2008(10) [10.1088/1126-6708/2008/10/101].

A Simple class of N=3 gauge/gravity duals

TOMASIELLO, ALESSANDRO
2008

Abstract

We find the gravity duals to an infinite series of N=3 Chern-Simons quiver theories. They are AdS_4 x M_7 vacua of M-theory, with M_7 in a certain class of 3-Sasaki-Einstein manifolds obtained by a quotient construction. The field theories can be engineered from a brane configuration; their geometry is summarized by a "hyperKaehler toric fan" that can be read off easily from the relative angles of the branes. The singularity at the tip of the cone over M_7 is generically not an orbifold. The simplest new manifolds we consider can be written as the biquotient U(1)\U(3)/U(1). We also comment on the relation between our theories and four-dimensional N=1 theories with the same quiver.
Articolo in rivista - Articolo scientifico
teoria di stringa; compattificazioni
English
2008
2008
10
101
none
Jafferis, D., Tomasiello, A. (2008). A Simple class of N=3 gauge/gravity duals. JOURNAL OF HIGH ENERGY PHYSICS, 2008(10) [10.1088/1126-6708/2008/10/101].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/12703
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