IMMERSION ANOMALY OF DIRAC OPERATOR ON SURFACE IN ℝ3

DOI10.1142/S0129055X99000076zbMath0982.53004arXivphysics/9707010OpenAlexW2083237257MaRDI QIDQ4269415

Shigeki Matsutani

Publication date: 14 November 1999

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/9707010

zbMATH Keywords

Dirac operatorDirac fieldWillmore functionalgauge transformationWard-Takahashi identityPolyakov's extrinsic string

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Elliptic equations on manifolds, general theory (58J05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Spin and Spin({}^c) geometry (53C27) Surfaces in Euclidean and related spaces (53A05)

Related Items (4)

DIRAC OPERATOR ON A CONFORMAL SURFACE IMMERSED IN ℝ⁴: A WAY TO FURTHER GENERALIZED WEIERSTRASS EQUATION ⋮ On the Moduli of a Quantized Elastica in ℙ and KdV Flows: Study of Hyperelliptic Curves as an Extension of Euler's Perspective of Elastica I ⋮ Solutions of spinorial Yamabe-type problems on 𝑆^{𝑚}: Perturbations and applications ⋮ Generalized Weierstrass relations and Frobenius reciprocity

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