English

Hamiltonian Reduction and Topological Conformal Algebra in $c\leq 1$ Non-critical Strings

High Energy Physics - Theory 2015-06-26 v1

Abstract

We study the hamiltonian reduction of affine Lie superalgebra sl(21)(1)sl(2|1)^{(1)}. Based on a scalar Lax operator formalism, we derive the free field realization of the classical topological topological algebra which appears in the c1c\leq1 non-critical strings. In the quantum case, we analyze the BRST cohomology to get the quantum free field expression of the algebra.

Keywords

Cite

@article{arxiv.hep-th/9310076,
  title  = {Hamiltonian Reduction and Topological Conformal Algebra in $c\leq 1$ Non-critical Strings},
  author = {Katsushi Ito and Hiroaki Kanno},
  journal= {arXiv preprint arXiv:hep-th/9310076},
  year   = {2015}
}

Comments

13 pages Latex, UTHEP-264