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Triangle anomalies from Einstein manifolds

Benvenuti, S
•
Zayas, LAP
•
Tachikawa, Y
2006
  • journal article

Periodico
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS
Abstract
The triangle anomalies in conformal field theory, which can be used to determine the central charge a, correspond to the Chern-Simons couplings of gauge fields in AdS under the gauge/gravity correspondence. We present a simple geometrical formula for the Chern-Simons couplings in the case of type IIB supergravity compactified on a five-dimensional Einstein manifold X. When X is a circle bundle over del Pezzo surfaces or a toric Sasaki-Einstein manifold, we show that the gravity result is in perfect agreement with the corresponding quiver gauge theory. Our analysis reveals an interesting connection with the condensation of giant gravitons or dibaryon operators which effectively induces a rolling among Sasaki-Einstein vacua.
DOI
10.4310/ATMP.2006.v10.n3.a4
WOS
WOS:000240766800004
Archivio
http://hdl.handle.net/20.500.11767/32137
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-34250902672
https://arxiv.org/abs/hep-th/0601054
Diritti
metadata only access
Scopus© citazioni
30
Data di acquisizione
Jun 14, 2022
Vedi dettagli
Visualizzazioni
2
Data di acquisizione
Apr 19, 2024
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