Displaying similar documents to “On spin and modularity in conformal field theory”

Invariant Spin Structures on Riemann Surfaces

Sadok Kallel, Denis Sjerve (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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We investigate the action of the automorphism group of a closed Riemann surface of genus at least two on its set of theta characteristics (or spin structures). We give a characterization of those surfaces admitting a non-trivial automorphism fixing either all of the spin structures or just one. The case of hyperelliptic curves and of the Klein quartic are discussed in detail.

The wall of the cave

Alexander M. Polyakov (1998)

Publications Mathématiques de l'IHÉS

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On conformal powers of the Dirac operator on spin manifolds

Matthias Fischmann (2014)

Archivum Mathematicum

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The well known conformal covariance of the Dirac operator acting on spinor fields does not extend to its powers in general. For odd powers of the Dirac operator we derive an algorithmic construction in terms of associated tractor bundles computing correction terms in order to achieve conformal covariance. These operators turn out to be formally (anti-) self-adjoint. Working out this algorithm we recover explicit formula for the conformal third and present a conformal fifth power of the...

Twistor operators on conformally flat spaces

Somberg, Petr

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Summary: We describe explicitly the kernels of higher spin twistor operators on standard even dimensional Euclidean space ℛ 2 l , standard even dimensional sphere S 2 l , and standard even dimensional hyperbolic space ℋ 2 l , using realizations of invariant differential operators inside spinor valued differential forms. The kernels are finite dimensional vector spaces (of the same cardinality) generated by spinor valued polynomials on ℛ 2 l , S 2 l , ℋ 2 l .