6d, N=1,0 Coulomb branch anomaly matching View Full Text


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Article Info

DATE

2014-10

AUTHORS

Kenneth Intriligator

ABSTRACT

6d QFTs are constrained by the analog of ’t Hooft anomaly matching: all anomalies for global symmetries and metric backgrounds are constants of RG flows, and for all vacua in moduli spaces. We discuss an anomaly matching mechanism for 6d N=1,0 theories on their Coulomb branch. It is a global symmetry analog of Green-Schwarz-West-Sagnotti anomaly cancellation, and requires the apparent anomaly mismatch to be a perfect square, ΔI8=12X42. Then ΔI8 is cancelled by making X4 an electric/magnetic source for the tensor multiplet, so background gauge field instantons yield charged strings. This requires the coefficients in X4 to be integrally quantized. We illustrate this for N=2,0 theories. We also consider the N=1,0 SCFTs from N small E8 instantons, verifying that the recent result for its anomaly polynomial fits with the anomaly matching mechanism. More... »

PAGES

162

References to SciGraph publications

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  • 2014-05. On the classification of 6D SCFTs and generalized ADE orbifolds in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-11-10. The self-dual string and anomalies in the M5-brane in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2014-08. Anomaly polynomial of E-string theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2005-07. Self-Dual Strings in Six Dimensions: Anomalies, the ADE-Classification, and the World-Sheet WZW-Model in COMMUNICATIONS IN MATHEMATICAL PHYSICS
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  • 1998-09-07. Non-abelian tensor-multiplet anomalies in JOURNAL OF HIGH ENERGY PHYSICS
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    45 schema:description 6d QFTs are constrained by the analog of ’t Hooft anomaly matching: all anomalies for global symmetries and metric backgrounds are constants of RG flows, and for all vacua in moduli spaces. We discuss an anomaly matching mechanism for 6d N=1,0 theories on their Coulomb branch. It is a global symmetry analog of Green-Schwarz-West-Sagnotti anomaly cancellation, and requires the apparent anomaly mismatch to be a perfect square, ΔI8=12X42. Then ΔI8 is cancelled by making X4 an electric/magnetic source for the tensor multiplet, so background gauge field instantons yield charged strings. This requires the coefficients in X4 to be integrally quantized. We illustrate this for N=2,0 theories. We also consider the N=1,0 SCFTs from N small E8 instantons, verifying that the recent result for its anomaly polynomial fits with the anomaly matching mechanism.
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