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Triangle Anomalies from Einstein Manifolds

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arxiv hep-th/0601054 v2 pith:63Q7E3NW submitted 2006-01-10 hep-th

Sergio Benvenuti , Leopoldo A. Pando Zayas , Yuji Tachikawa This is my paper
classification hep-th
keywords gaugeanomalieschern-simonscouplingseinsteingravitymanifoldsasaki-einstein
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Microstates of AdS$_5$ black holes with hypermultiplets

    hep-th 2025-02 conditional novelty 7.0 of 10

    A new family of rotating AdS5 black holes with nonzero hypermultiplet scalars has horizon entropy matching the superconformal index of the dual SCFTs, at first order in a perturbative expansion around z=1.

  2. Continuous symmetries and charge measurement of boundary operators in holography

    hep-th 2026-02 conditional novelty 6.0 of 10

    Continuous symmetry operators in holography are U-shaped hanging brane bound states (D5-KK in Type IIB, M5-KK in M-theory) whose worldvolume couplings reproduce the Gauss-law symmetry operators and measure charges of ...

  3. R-symmetries, anomalies and non-invertible defects from non-BPS branes

    hep-th 2025-06 conditional novelty 6.0 of 10

    The U(1)_R symmetry operator of the Klebanov-Witten theory is realized by a non-BPS KK monopole, whose worldvolume action matches the SymTh operator and anomaly coefficients.

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