Chern-Simons theories of symplectic super-diffeomorphisms Academic Article

abstract

• We discuss the symplectic diffeomorphisms of a class of supermanifolds and the structure of the underlying infinite dimensional superalgebras. We construct a Chern-Simons (CS) gauge theory in (2+1) dimensions for these algebras. There exists a finite dimensional supersymmetric truncation which is the (2n - 1)-dimensional hamiltonian superalgebra H (n). With a central charge added, it is a superalgebra, C(n), associated with a Clifford algebra. We find an embedding of d=3, N=2 anti-de Sitter superalgebra OSp(2|2) OSp (2|2) in C(4), and construct a CS action for its infinite dimensional extension. We also discuss the construction fdof a CS action for the infinite dimensional extension of the d=3, N=2 superconformal algebra OSp(2, 4). 1989.

authors

• Sezgin, Ergin

published proceedings

• Physics Letters B

author list (cited authors)

• Sezgin, E., & Sokatchev, E.

citation count

• 11

complete list of authors

• Sezgin, E||Sokatchev, E

publication date

• August 1989

publisher

• Elsevier  Publisher

published in

• Physics Letters B  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics
• 4904 Pure Mathematics
• 51 Physical Sciences
• 5107 Particle And High Energy Physics

Digital Object Identifier (DOI)

• 10.1016/0370-2693(89)91290-2

start page

• 103

end page

• 110

volume

• 227

issue

• 1

URL

• http://dx.doi.org/10.1016/0370-2693(89)91290-2