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Papers by Martin Rocek

Eprint Arxiv Hep Th 0605022, May 1, 2006

We recall how the Gauss-Bonnet theorem can be interpreted as a finite dimen- sional index theorem... more We recall how the Gauss-Bonnet theorem can be interpreted as a finite dimen- sional index theorem. We describe the construction given in hep-th/0512293 of a function that can be interpreted as a gravitational effective action on a triangulation. The variation of this function under local rescalings of the edge lengths sharing a vertex is the Euler density, and we use it to illustrate how continuous concepts can have natural discrete analogs.

Phys Lett B, Apr 1, 1998

The effective action of N=2 gauge multiplets in general includes higher-dimension UV finite nonho... more The effective action of N=2 gauge multiplets in general includes higher-dimension UV finite nonholomorphic corrections integrated with the full N=2 superspace measure. By adding a hypermultiplet in the adjoint representation we study the effective action of N=4 SYM. The nonanomalous SU(4) R-symmetry of the classical N=4 theory must be also present in the on-shell effective action, and therefore we expect to find similar nonholomorphic terms for each of the scalars in the hypermultiplet. The N=2 path integral quantization formalism developed in projective superspace allows us to compute these hypermultiplet nonholomorphic terms directly in N=2 superspace. The corresponding gauge multiplet expression can be successfully compared with the result inferred from a N=1 calculation in the abelian subsector.

Commun Math Phys, 2010

We describe the relation between supersymmetric σ-models on hyperkähler manifolds, projective sup... more We describe the relation between supersymmetric σ-models on hyperkähler manifolds, projective superspace, and twistor space. We review the essential aspects and present a coherent picture with a number of new results.

In this brief note we give a superspace description of the supersymmetric nonlocal Lorentz noninv... more In this brief note we give a superspace description of the supersymmetric nonlocal Lorentz noninvariant actions recently proposed by Cohen and Freedman. This leads us to discover similar terms for gauge fields.

Physics Letters B, 1991

A deformed quadratic Casimir operator is constructed for nonlinearly deformed SU (2) algebras, an... more A deformed quadratic Casimir operator is constructed for nonlinearly deformed SU (2) algebras, and the representation theory is investigated. Different deformations give rise to different kinds of finite dimensional unitary representations, including periodic representations as ...