We present a new class of elliptic-like strings on two-dimensional manifolds of constant curvature. Our solutions are related to a class of identities between Jacobi theta functions and to the geometry of the light-cone in one dimension more. We show in particular that two well-known fundamental identities among theta functions have a natural interpretation as expressing the Virasoro constraints of dS or AdS strings.

Doubly elliptic strings on the (anti) de Sitter manifold

MOSCHELLA, UGO
2015-01-01

Abstract

We present a new class of elliptic-like strings on two-dimensional manifolds of constant curvature. Our solutions are related to a class of identities between Jacobi theta functions and to the geometry of the light-cone in one dimension more. We show in particular that two well-known fundamental identities among theta functions have a natural interpretation as expressing the Virasoro constraints of dS or AdS strings.
2015
http://www.worldscinet.com/ijgmmp/ijgmmp.shtml
(anti) de Sitter; Strings; theta functions; Physics and Astronomy (miscellaneous)
Gaudin, Michel; Moschella, Ugo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2024230
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