Torsion constraints and super Riemann surfaces

Details Torsion constraints and super Riemann surfaces Torsion constraints and super Riemann surfaces

Dec 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvl..59.2619g&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 59, Dec. 7, 1987, p. 2619-2622. Research supported by Boston University.

Mathematics

21

Boson Fields, Cauchy Problem, Constraints, Riemann Manifold, String Theory, Torsion, Degrees Of Freedom, Lie Groups, Matrices (Mathematics), Supergravity, Supergravity, Supersymmetry

Scientific paper

Super-Riemann surfaces are important in superstring theories as the generalization of the bosonic world sheet. In one approach to their study, the procedure introduces two-dimensional supergravity, subject to certain conditions on the field strengths. Another approach builds super Riemann surfaces from superconformal patching data with no mention of the constraints. The equivalence of these two approaches is shown, and the torsion constraints are interpreted as integrability conditions of a certain geometrical structure.

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