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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 403 - 414 (12page)
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초록· 키워드
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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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참고문헌 (10)
참고문헌 신청
M. Bergvelt / 1999 / Supercurves, their Jacobians, and super KP equations / Duke Math. J 98(1):1~57
A. Connes / 1998 / Noncommutative geometry and matrix theory / J. High Energy Phys., JHEP 9802:35
김호일 / 2016 / Quantum Super Theta Vectors and Theta Functions / Kyungpook Mathematical Journal 56(1):249~256
Y. Manin / 2001 / Theta functions, quantum tori and Heisenberg Groups / Lett. Math. Phys 56(3):295~320
Y. Manin / 2004 / Functional equations for quantum theta functions / Publ. Res. Inst. Math. Sci 40(3):605~624
A. Connes / 1998 / Noncommutative geometry and matrix theory / J. High Energy Phys., JHEP 9802:35
김호일 / 2016 / Quantum Super Theta Vectors and Theta Functions / Kyungpook Mathematical Journal 56(1):249~256
Y. Manin / 2001 / Theta functions, quantum tori and Heisenberg Groups / Lett. Math. Phys 56(3):295~320
Y. Manin / 2004 / Functional equations for quantum theta functions / Publ. Res. Inst. Math. Sci 40(3):605~624
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