Article
KYUNGPOOK Math. J. 2019; 59(3): 403-414
Published online September 23, 2019
Copyright © Kyungpook Mathematical Journal.
Super Theta Vectors and Super Quantum Theta Operators
Hoil Kim
Department of Mathematics and Institute for Mathematical Convergence, Kyungpook National University, Daegu 41566, Korea
e-mail : hikim@knu.ac.kr
Received: March 20, 2019; Accepted: June 5, 2019
Theta functions are the sections of line bundles on a complex torus. Noncommutative versions of theta functions have appeared as theta vectors and quantum theta operators. In this paper we describe a super version of theta vectors and quantum theta operators. This is the natural unification of Manin’s result on bosonic operators, and the author’s previous result on fermionic operators.
Keywords: super theta vectors, quantum theta operators, super Heisenberg group.