Submanifold Dirac Operator with Torsion

Details Submanifold Dirac Operator with Torsion Submanifold Dirac Operator with Torsion

2003-05-04

arxiv.org/abs/math-ph/0305007v2

Physics

Mathematical Physics

16 pages

Scientific paper

The submanifold Dirac operator has been studied for this decade, which is closely related to Frenet-Serret and generalized Weierstrass relations. In this article, we will give a submanifold Dirac operator defined over a surface immersed in $\EE^4$ with U(1)-gauge field as torsion in the sense of the Frenet-Serret relation, which also has data of immersion of the surface in $\EE^4$.s

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