Operator ordering in Two-dimensional N=1 supersymmetry with curved manifold

Abstract

We investigate an operator ordering problem in two-dimensional N=1 supersymmetric model which consists of n real superfields. There arises an operator ordering problem when the target space is curved. We have to fix the ordering in quantum operator properly to obtain the correct supersymmetry algebra. We demonstrate that the super-Poincaré algebra fixes the correct operator ordering. We obtain a supercurrent with correct operator ordering and a central extension of supersymmetry algebra.

7 pages

References in corpus (15)

• A PT-Invariant Potential With Complex QES Eigenvalues
• Quasi-Exactly Solvable Systems and Orthogonal Polynomials
• Quantum signatures of breather-breather interactions
• Quasi Exactly Solvable 2$\times$2 Matrix Equations
• Quasi-Exactly Solvable Potentials on the Line and Orthogonal Polynomials
• Classification of linear differential operators with an invariant subspace of monomials
• Anti-isospectral Transformations, Orthogonal Polynomials and Quasi-Exactly Solvable Problems
• Ribbons Around Mexican Hats
• Do Quasi-Exactly Solvable Systems Always Correspond to Orthogonal Polynomials?
• On quasi-exactly solvable matrix models
• Quasi Exactly Solvable NxN-Matrix Schroedinger Operators
• The Goldstone model static solutions on S^1
• A Number of Quasi-Exactly Solvable N-body Problems
• Quasi-Exactly Solvable Spin 1/2 Schrödinger Operators
• On linear operators with an invariant subspace of functions

Cited by in corpus (3)

• Quadratic Lie algebras and quasi-exact solvability of the two-photon Rabi Hamiltonian
• Quasi-exact solvability in a general polynomial setting
• PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians