Geometrical Aspects of An Abelian (2,0) Action

Abstract

We explore various geometrical aspects of an action for six-dimensional chiral 2-forms based on the formalism of 1903.12196. We elucidate the coupling to general backgrounds and construct the full supersymmetric completion to an abelian (2,0) superconformal lagrangian including matter. We investigate the non-standard diffeomorphism properties of the fields and their relation to the hamiltonian formulation. We also test the action by considering compactifications on a circle, K3 and a Riemann surface. The results are consistent with expectations for an action describing the low-energy physics of an M5-brane in M-theory.

37 pages; v2: typos corrected and references added

References in corpus (2)

• Self-interacting chiral p-forms in higher dimensions
• On Lagrangian approach to self-dual gauge fields in spacetime of nontrivial topology

Cited by in corpus (14)

• On p-form gauge theories and their conformal limits
• Polynomial Duality-Symmetric Lagrangians for Free p-Forms
• Covariant M5-brane action with self-dual 3-form
• M5-brane in the superspace approach
• Irrelevant Deformations of Chiral Bosons
• Double dimensional reduction of M5-brane action in Sen formalism
• Renormalisation in $\text{T}\bar{\text{T}}$-Deformed (Non-)Integrable Theories
• Manifestly Covariant Polynomial M5-brane Lagrangians
• Lightlike reduction of the M5 brane
• Nonlinear chiral forms in the Sen formulation
• Nonlinear (chiral) p-form electrodynamics
• Monopoles, Clarified
• M5-brane prongs, string soliton bound states and wall-crossing
• A Path Integral for the Chiral-Form Partition Function