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Anomaly cancellation and one-loop finiteness of 6D half-maximal supergravities

Renata Kallosh

Abstract

We explain why the surprising one-loop finiteness of 6D half-maximal supergravities recently discovered in \cite{Huang:2025nyr} is the result of the cancellation of the six-dimensional gravitational and gauge anomalies in (2,0) supergravity with 21 tensor multiplets and its anomaly-free SO(5, 21) duality. The one-loop finiteness of (1,1) supergravity with 20 vector multiplets is also explained by anomaly-free SO(4, 20) duality symmetry.

Anomaly cancellation and one-loop finiteness of 6D half-maximal supergravities

Abstract

We explain why the surprising one-loop finiteness of 6D half-maximal supergravities recently discovered in \cite{Huang:2025nyr} is the result of the cancellation of the six-dimensional gravitational and gauge anomalies in (2,0) supergravity with 21 tensor multiplets and its anomaly-free SO(5, 21) duality. The one-loop finiteness of (1,1) supergravity with 20 vector multiplets is also explained by anomaly-free SO(4, 20) duality symmetry.

Paper Structure

This paper contains 6 sections, 17 equations.

Table of Contents

  1. Introduction
  2. (2,0) supergravity with $n_T=21$
  3. UV divergence cancellation for $n=21$
  4. (1,1) supergravity with $n_V=20$
  5. Discussion
  6. Acknowledgments