M5-brane in the superspace approach

Abstract

Motivated by Sen's spacetime prescription for the construction of theories with self-dual field strengths, we present a rigid superspace Lagrangian describing noninteracting tensor multiplets living on a stack of M5-branes and containing all the physical constraints on the fields, yielding the on-shell matching of the degrees of freedom. The geometric superspace approach adopted here offers a natural realization of superdiffeomorphisms and is particularly well suited for the coupling to supergravity. However, within this formulation the (anti-)self-duality property of the 3-form field strengths is lost when the superspace Lagrangian is trivially restricted to spacetime. We propose two main paths to address this issue: a first-order superspace extension of Sen's spacetime results, which, once trivially restricted to spacetime, yields all the dynamical equations including the (anti-)self-duality constraint on the 3-form field strengths, and a possible way to obtain a full superspace description of the theory, based on integral forms.

arXiv commentV3, 33 pages, title changed, misprints corrected

References in corpus (39)

• Dirichlet-Branes and Ramond-Ramond Charges
• D-branes from M-branes
• Covariant Action for a D=11 Five-Brane with the Chiral Field
• On Lorentz Invariant Actions for Chiral P-Forms
• Five-branes And $M$-Theory On An Orbifold
• D=10, N=IIB Supergravity: Lorentz-invariant actions and duality
• On p-form gauge theories and their conformal limits
• Covariant Actions for the Bosonic Sector of D=10 IIB Supergravity
• Manifest Electromagnetic Duality in Closed Superstring Field Theory
• Coupling a Self-Dual Tensor to Gravity in Six Dimensions
• Covariant Action for Type IIB Supergravity
• Self-dual forms: Action, Hamiltonian and Compactification
• Covariant path integral for chiral p-forms
• On Covariant Actions for Chiral $p-$Forms
• Supergravity Actions with Integral Forms
• The Geometry of Supermanifolds and New Supersymmetric Actions
• (2,0) Lagrangian Structures
• Self-interacting chiral p-forms in higher dimensions
• Supergraph analysis of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ gauge theories
• Hodge Dualities on Supermanifolds
• Cech and de Rham Cohomology of Integral Forms
• Super-Maxwell Actions with Manifest Duality
• Manifestly Lorentz invariant chiral boson action
• Polynomial Duality-Symmetric Lagrangians for Free p-Forms
• Geometrical Aspects of An Abelian (2,0) Action
• The Integral Form of Supergravity
• Covariant M5-brane action with self-dual 3-form
• Aspects of the D=6, (2,0) Tensor Multiplet
• Chern-Simons Theory on Supermanifolds
• The (2,0) supersymmetric theory of tensor multiplets and self-dual strings in six dimensions
• Lessons from M2's and Hopes for M5's
• Harmonic Superspaces from Superstrings
• Pictures from Super Chern-Simons Theory
• A nonabelian M5 brane Lagrangian in a supergravity background
• Covariant hamiltonian for gravity coupled to $p$-forms
• Super Chern-Simons Theory: BV-formalism and $A_{\infty }$-algebras
• Self-Dual Forms in Supergeometry I: The Chiral Boson
• Towards an M5-Brane Model III: Self-Duality from Additional Trivial Fields
• Wess-Zumino and Super Yang-Mills Theories in D=4 Integral Superspace

Cited by in corpus (9)

• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Duality and Fluxes in the Sen Formulation of Self-Dual Fields
• On-Shell Action for Type IIB Supergravity and Superstrings on $Ad{S}_5\times S^5$
• Flux Quantization on M5-branes
• Manifestly Covariant Polynomial M5-brane Lagrangians
• Supergravities and Branes from Hilbert-Poincaré Series
• Monopoles, Clarified
• Nonlinear chiral forms in the Sen formulation
• The Dark Side of Double-Tensor Multiplets