Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Super Theta Vectors and Super Quantum Theta Operators

  • Kim, Hoil (Department of Mathematics and Institute for Mathematical Convergence, Kyungpook National University)
  • Received : 2019.03.20
  • Accepted : 2019.06.05
  • Published : 2019.09.23
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Abstract

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.

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References

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