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Title: The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary

Abstract

In this paper, we define lower dimensional volumes of spin manifolds with boundary. We compute the lower dimensional volume V ol{sub 6}{sup (1,3)} for 6-dimensional spin manifolds with boundary and derive the gravity on boundary from the noncommutative residue associated with Dirac operators. For 6-dimensional manifolds with boundary, we also get a Kastler-Kalau-Walze type theorem for a general fourth order operator.

Authors:
 [1];  [2]
  1. School of Science, Tianjin University of Technology and Education, Tianjin 300222 (China)
  2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024 (China)
Publication Date:
OSTI Identifier:
22403145
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 56; Journal Issue: 5; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMMUTATION RELATIONS; DIRAC OPERATORS; GRAVITATION; QUANTUM ELECTRODYNAMICS; SPIN

Citation Formats

Wang, Jian, and Wang, Yong, E-mail: wangj484@nenu.edu.cn, E-mail: wangy581@nenu.edu.cn. The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary. United States: N. p., 2015. Web. doi:10.1063/1.4919889.
Wang, Jian, & Wang, Yong, E-mail: wangj484@nenu.edu.cn, E-mail: wangy581@nenu.edu.cn. The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary. United States. doi:10.1063/1.4919889.
Wang, Jian, and Wang, Yong, E-mail: wangj484@nenu.edu.cn, E-mail: wangy581@nenu.edu.cn. Fri . "The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary". United States. doi:10.1063/1.4919889.
@article{osti_22403145,
title = {The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary},
author = {Wang, Jian and Wang, Yong, E-mail: wangj484@nenu.edu.cn, E-mail: wangy581@nenu.edu.cn},
abstractNote = {In this paper, we define lower dimensional volumes of spin manifolds with boundary. We compute the lower dimensional volume V ol{sub 6}{sup (1,3)} for 6-dimensional spin manifolds with boundary and derive the gravity on boundary from the noncommutative residue associated with Dirac operators. For 6-dimensional manifolds with boundary, we also get a Kastler-Kalau-Walze type theorem for a general fourth order operator.},
doi = {10.1063/1.4919889},
journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 5,
volume = 56,
place = {United States},
year = {2015},
month = {5}
}