2002
DOI: 10.1103/physrevd.65.105007
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Gravity dual of the chiral anomaly

Abstract: We study effects associated with the chiral anomaly for a cascading SU (N + M ) × SU (N ) gauge theory using gauge/gravity duality. In the gravity dual the anomaly is a classical feature of the supergravity solution, and the breaking of the U (1) R-symmetry down to Z 2M proceeds via the Higgs mechanism.

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Cited by 115 publications
(171 citation statements)
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References 27 publications
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“…Notice, that the argument is not much different from the one that runs in determining the 'period' of the R-symmetry coordinate ψ -reflecting the presence of the U(1) R -anomaly -in dual to N = 1 QFT, see for example the papers [6,7,60]. Indeed, the point made in [37] was that when we cross the boundaries ρ = π, 2π, 3π, 4π .…”
Section: Jhep11(2015)212mentioning
confidence: 99%
“…Notice, that the argument is not much different from the one that runs in determining the 'period' of the R-symmetry coordinate ψ -reflecting the presence of the U(1) R -anomaly -in dual to N = 1 QFT, see for example the papers [6,7,60]. Indeed, the point made in [37] was that when we cross the boundaries ρ = π, 2π, 3π, 4π .…”
Section: Jhep11(2015)212mentioning
confidence: 99%
“…As explained in [20], the anomaly-related R-symmetry breaking in the Klebanov-Strassler solution from U(1) to Z 2M is visible through the behavior of the C 2 Ramond-Ramond gauge field. In our solution, F 3 and hence C 2 are completely unchanged from their background value.…”
Section: Susy Breaking In the Field Theory Dualmentioning
confidence: 99%
“…The preserved symmetries of this background are SO(3, 1) of the four-dimensional x µ along with the SU(2) 1 × SU(2) 2 × Z 2M × Z 2 of the T 1,1 ; the SU(2)s act on the two-spheres associated to θ 1 , φ 1 and θ 2 , φ 2 , and the Z 2 exchanges them. The metric possesses a U(1) ψ acting on the ψ-coordinate, which is respected by the other field strengths but broken to Z 2M by any concrete expression for the potential C 2 [20]. This is broken further to Z 2 in the full KS solution, reflecting the fermion condensate in the IR.…”
Section: The Klebanov-tseytlin Geometry and Dual Field Theorymentioning
confidence: 99%
“…The RG flows are related by supersymmetry to the θ-angles of the gauge theory. This relationship was studied on the conifold in [29]; more detailed supergravity analysis appears in [30,31,32].…”
Section: Geometry Of the Conifoldmentioning
confidence: 99%