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6d supergravities with non-abelian gauge group are subject to many consistency conditions. While the absence of local gauge and gravitational anomalies allows for infinitely many models, we show that those conditions stemming from the…

High Energy Physics - Theory · Physics 2025-07-29 Yuta Hamada , Gregory J. Loges

In six dimensions, cancellation of gauge, gravitational, and mixed anomalies strongly constrains the set of quantum field theories which can be coupled consistently to gravity. We show that for some classes of six-dimensional supersymmetric…

High Energy Physics - Theory · Physics 2009-10-10 Vijay Kumar , Washington Taylor

We construct the Green-Schwarz terms of six-dimensional supergravity theories on spacetimes with non-trivial topology and gauge bundle. We prove the cancellation of all global gauge and gravitational anomalies for theories with gauge groups…

High Energy Physics - Theory · Physics 2019-02-12 Samuel Monnier , Gregory W. Moore

We systematically investigate the finite set of possible gauge groups and matter content for N = 1 supergravity theories in six dimensions with no tensor multiplets, focusing on nonabelian gauge groups which are a product of SU(N) factors.…

High Energy Physics - Theory · Physics 2011-04-22 Vijay Kumar , Daniel S. Park , Washington Taylor

This thesis reviews minimal N=2 chiral supergravities coupled to matter in six dimensions with emphasis on anomaly cancellation. In general, six-dimensional chiral supergravities suffer from gravitational, gauge and mixed anomalies which…

High Energy Physics - Theory · Physics 2007-05-23 Spyros D. Avramis

We study the constraints on five-dimensional N=1 heterotic M-theory imposed by a consistent anomaly-free coupling of bulk and boundary theory. This requires analyzing the cancellation of triangle gauge anomalies on the four-dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Andre Lukas , K. S. Stelle

The constraints arising from anomaly cancellation are particular strong for chiral theories in six dimensions. We make progress towards a complete classification of 6D supergravities with minimal supersymmetry and non-abelian gauge group.…

High Energy Physics - Theory · Physics 2024-10-17 Yuta Hamada , Gregory J. Loges

In this work we study the cancellation of non-perturbative anomalies of gravitational theories with gauge group $\mathbb{Z}_k$ in six dimensions. These subtle anomalies require a classification of deformation classes of manifolds with…

High Energy Physics - Theory · Physics 2025-04-07 Markus Dierigl , Michelangelo Tartaglia

We study the classification problem for anomaly-free 6D $\mathcal N=(1,0)$ supergravities with a gauged abelian R-symmetry and one tensor multiplet. We present eleven new models with gauge group $G_{\mathrm{non-Abelian}}\times U(1)_R$ that…

High Energy Physics - Theory · Physics 2026-05-19 Katrin Becker , Qi You

We study six-dimensional N=(1,0) supergravity theories with abelian, as well as non-abelian, gauge group factors. We show that for theories with fewer than nine tensor multiplets, the number of possible combinations of gauge groups -…

High Energy Physics - Theory · Physics 2012-06-13 Daniel S. Park , Washington Taylor

There exists a rare class of R-symmetry gauged $N=(1,0)$ supergravities in six dimensions with gauge group $G\times U(1)_R$, where $G$ is semisimple with rank greater than one, and the number of tensor multiplets $n_T=1$, which are free…

High Energy Physics - Theory · Physics 2025-07-31 Katrin Becker , Ergin Sezgin , David Tennyson , with a mathematical appendix by Yuji Tachikawa

The space of 6D supergravities with minimal supersymmetry is greatly constrained by anomaly cancellation. Nevertheless, a large number of models satisfy all low-energy consistency conditions and in this work we make progress towards…

High Energy Physics - Theory · Physics 2024-04-16 Yuta Hamada , Gregory J. Loges

We conduct a systematic search for anomaly-free six-dimensional N=1 chiral supergravity theories. Under a certain set of restrictions on the allowed gauge groups and the representations of the hypermultiplets, we enumerate all possible…

High Energy Physics - Theory · Physics 2009-11-11 Spyros D. Avramis , Alex Kehagias

We construct a seven-dimensional brane world in a slice of AdS_7, where the boundary matter content is fixed by the cancellation of anomalies. The seven-dimensional minimal N=2 gauged supergravity is compactified on the orbifold S^1/Z_2,…

High Energy Physics - Theory · Physics 2009-11-07 Tony Gherghetta , Alex Kehagias

The conditions for the cancellation of all gauge, gravitational, and mixed anomalies of $N=1$ supersymmetric models in six dimensions are reviewed and illustrated by a number of examples. Of particular interest are models that cannot be…

High Energy Physics - Theory · Physics 2009-10-28 John H. Schwarz

We analyze the anomaly constraints on 6D supergravity theories with a single abelian U(1) gauge factor. For theories with charges restricted to $q = \pm1, \pm2$ and no tensor multiplets, anomaly-free models match those models that can be…

High Energy Physics - Theory · Physics 2020-08-03 Washington Taylor , Andrew P. Turner

We present an orbifold compactification of the minimal seven dimensional supergravity. The vacuum is a slice of AdS_7 where six-branes of opposite tension are located at the orbifold fixed points. The cancellation of gauge and gravitational…

High Energy Physics - Theory · Physics 2010-11-19 Tony Gherghetta , Alex Kehagias

We construct a huge number of anomaly-free models of six-dimensional N = (1,0) gauged supergravity. The gauge groups are products of U(1) and SU(2), and every hyperino is charged under some of the gauge groups. It is also found that the…

High Energy Physics - Theory · Physics 2009-11-11 Ryo Suzuki , Yuji Tachikawa

We investigate a recently identified class of six-dimensional supergravities without tensor multiplets whose primitive BPS strings are described by a rational superconformal field theory. Rationality imposes severe constraints on the…

High Energy Physics - Theory · Physics 2026-05-19 Guglielmo Lockhart , Yann Proto

We show that six-dimensional supergravity coupled to tensor and Yang-Mills multiplets admits not one but two different theories as global limits, one of which was previously thought not to arise as a global limit and the other of which is…

High Energy Physics - Theory · Physics 2009-10-07 M. J. Duff , J. Liu , H. Lu , C. N. Pope
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