Amplitudes for Multiple M5 Branes

Abstract

We study N=(m,0) super-Poincare invariant six-dimensional massless and five-dimensional massive on-shell amplitudes. We demonstrate that in six dimensions, all possible three-point amplitudes involving tensor multiplets are necessarily embedded in gravitational theories. For non-gravitational amplitudes we consider instead five-dimensional massive amplitudes with N=(2,0) supersymmetry, aiming at describing the world volume theory of multiple M5 branes compactified on M^{4,1}x S^1. We find non-gravitational amplitudes whose on-shell degrees of freedom are shown to match those of the massive particle states that arise from self-dual strings wrapping a circle. Along the way we find interesting hints of a fermionic symmetry in the (2,0) theory, which accompanies the self-dual tensor gauge symmetry. We also discuss novel theories with (3,0) and (4,0) supersymmetry.

49 pages, 4 figures, v2: Better organization and more details in the section on KK interactions

References in corpus (17)

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• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
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• Consistency Conditions on the S-Matrix of Massless Particles
• (1,0) superconformal models in six dimensions
• Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
• Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
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• Superconformal symmetry and maximal supergravity in various dimensions
• A Theory of Non-Abelian Tensor Gauge Field with Non-Abelian Gauge Symmetry G x G
• One-loop Amplitudes in Six-Dimensional (1,1) Theories from Generalised Unitarity
• Non-Chiral S-Matrix of N=4 Super Yang-Mills
• Scattering amplitudes on the Coulomb branch of N=4 super Yang-Mills

Cited by in corpus (22)

• Simple superamplitudes in higher dimensions
• Non-abelian Action for Multiple Five-Branes with Self-Dual Tensors
• Twin Supergravities from Yang-Mills Squared
• Conformal Field Theories in Six-Dimensional Twistor Space
• Lorentz Constraints on Massive Three-Point Amplitudes
• Superconformal symmetry and maximal supergravity in various dimensions
• $D=6$, $\mathcal{N}=(2,0)$ and $\mathcal{N}=(4,0)$ theories
• Non-Abelian Tensor Towers and (2,0) Superconformal Theories
• Six-dimensional superconformal couplings of non-abelian tensor and hypermultiplets
• The S Matrix of 6D Super Yang-Mills and Maximal Supergravity from Rational Maps
• M5-Brane and D-Brane Scattering Amplitudes
• On Twistors and Conformal Field Theories from Six Dimensions
• Exact coefficients for higher dimensional operators with sixteen supersymmetries
• Aligned Fields Double Copy to Kerr-NUT-(A)dS
• 5D Yang-Mills instantons from ABJM Monopoles
• Non-Abelian Chiral 2-Form and M5-Branes
• Note on non-Abelian two-form gauge fields
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• 5d and 6d SCFTs Have No Weak Coupling Limit
• On the amplitudes in N=(1,1) D=6 SYM
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• Anomalies without an action