Dirac-Witten Operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary
Tong Wu, Jian Wang, Yong Wang
TL;DR
This paper establishes Lichnerowicz formulas and proves Kastler-Kalau-Walze type theorems for Dirac-Witten operators on 4- and 6-dimensional manifolds with boundary, extending geometric analysis in mathematical physics.
Contribution
It introduces new Lichnerowicz formulas and extends Kastler-Kalau-Walze theorems to Dirac-Witten operators on manifolds with boundary.
Findings
Derived two Lichnerowicz type formulas for Dirac-Witten operators.
Proved Kastler-Kalau-Walze type theorems for 4D and 6D manifolds with boundary.
Abstract
In this paper, we obtain two Lichnerowicz type formulas for the Dirac-Witten operators. And we give the proof of Kastler-Kalau-Walze type theorems for the Dirac-Witten operators on 4-dimensional and 6- dimensional compact manifolds with (resp.without) boundary
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