The heat kernel of the compactified D = 11 supermembrane with non-trivial winding

L. Boulton, A. Restuccia

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We study the quantization of the regularized Hamiltonian, H, of the compactified D = 11 supermembrane with non-trivial winding. By showing that H is a relatively small perturbation of the bosonic Hamiltonian, we construct a Dyson series for the heat kernel of H and prove its convergence in the topology of the von Neumann-Schatten classes so that e-Ht is ensured to be of finite trace. The results provided have a natural interpretation in terms of the quantum mechanical model associated to regularizations of compactified supermembranes. In this direction, we discuss the validity of the Feynman path integral description of the heat kernel for D = 11 supermembranes and obtain rigorously a matrix Feynman-Kac formula. © 2005 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)380-396
Number of pages17
JournalNuclear Physics B
Volume724
Issue number1-2
DOIs
Publication statusPublished - 19 Sep 2005

Keywords

  • Compactified D=11 supermembrane with non-trivial winding
  • Heat kernel
  • Matrix Feynman-Kac formula
  • Regularized Hamiltonian

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