Lagrangian Formulations of Self-dual Gauge Theories in Diverse Dimensions

Abstract

In this work, we study Lagrangian formulations for self-dual gauge theories, also known as chiral $n$-form gauge theories, for $n=2p$ in $D=4p+2$ dimensional spacetime. Motivated by a recent formulation of M5-branes derived from the BLG model, we generalize the earlier Lagrangian formulation based on a decomposition of spacetime into $(D-1)$ dimensions plus a special dimension, to construct Lagrangian formulations based on a generic decomposition of spacetime into $D^{\prime }$ and $D"=D-D^{\prime }$ dimensions. Although the Lorentz symmetry is not manifest, we prove that the action is invariant under modified Lorentz transformations.

27 pages, the modified Lorentz transformation rule revised, minor modifications

References in corpus (7)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Holographic Action for the Self-Dual Field
• BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
• A Concise Review on M5-brane in Large C-Field Background
• Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background

Cited by in corpus (24)

• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
• Covariant actions for models with non-linear twisted self-duality
• Nambu bracket and M-theory
• The M5-brane action revisited
• More on the Nambu-Poisson M5-brane Theory: Scaling limit, background independence and an all order solution to the Seiberg-Witten map
• A No-Go Theorem for M5-brane Theory
• Non-Abelian Chiral 2-Form and M5-Branes
• Covariant M5-brane action with self-dual 3-form
• On Lagrangian approach to self-dual gauge fields in spacetime of nontrivial topology
• 5d and 6d SCFTs Have No Weak Coupling Limit
• BPS States on M5-brane in Large C-field Background
• Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background
• Lagrangian of Self-dual Gauge Fields in Various Formulations
• Actions for Non-Abelian Twisted Self-Duality
• Partition Function of Chiral Boson on 2-Torus from Floreanini-Jackiw Lagrangian
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• Note on the self-duality of gauge fields in topologically nontrivial spacetime
• Double dimensional reduction of M5-brane action in Sen formalism
• Towards 2+4 formulation of M5-brane
• General Lagrangian of Non-Covariant Self-dual Gauge Field
• Aspects of Supersymmetry in Multiple Membrane Theories
• Nonlinear chiral forms in the Sen formulation
• Lorentz Covariant Lagrangians of Self-dual Gauge Fields
• Mass generation for Self-dual Gauge Fields via Topologically Coupling