Geometric Representation of the generator of duality in massless and massive $p-$form field theories

Abstract

We study the invariance under duality transformations in massless and massive $p-$form field theories and obtain the Noether generators of the infinitesimal transformations that correspond to this symmetry. These generators are realized in geometrical representations that generalize the Loop Representation of the Maxwell field, allowing for a geometrical interpretation which is studied.

arXiv comment18 pages

References in corpus (13)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Duality Symmetric Actions
• Duality, Self-Duality, Sources and Charge Quantization in Abelian N-Form Theories
• Duality in linearized gravity
• p-Brane Dyons and Electric-magnetic Duality
• A Geometric Representation for the Proca Model
• Interacting Particles and Strings in Path and Surface Representations
• Electric-Magnetic duality and the "Loop Representation" in Abelian Gauge Theories
• A Geometric Approach to Massive p-form Duality
• Magnetic Monopole in the Loop Representation
• Duality and Topological Mass Generation in Diverse Dimensions
• The space of signed points and the Self Dual Model
• On Duality Symmetry in Charged P-Form Theories

Cited by in corpus (1)

• A topological invariant in the context of the loop representation of the massive Kalb-Ramond-Klein-Gordon model