Extrinsic geometry of strings and the Gauss map of surfaces in R sup n

Journal Article · Mon Mar 30 00:00:00 EST 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92000788· OSTI ID:5508656

Parthasarathy, R; Viswanathan, K S ^[1]

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1. Dept. of Physics, Simon Fraser Univ., Burnaby, British Columbia V5A 1S6 (CA)

This paper reports on a two-dimensional Euclidean string world sheet realized as a conformal immersion in R{sup n} which is mapped into the Grassmannian G{sub 2,n} through the generalized Gauss map. In order for the Grassmannian to represent tangent planes to a given surface, n {minus} 2 integrability conditions must be satisfied by the G{sub 2,n} fields. These conditions are explicitly derived for arbitrary n by realizing G{sub 2,n} as a quadric in CP{sup n{minus}1}. Both the intrinsic and the extrinsic geometrical properties of the string world sheet are expressed in terms of the Kahler {sigma} model fields.

• OSTI ID: 5508656
• Journal Information: International Journal of Modern Physics A; (United States), Vol. 7:8; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
STRING MODELS
EUCLIDEAN SPACE
CONFORMAL INVARIANCE
GAUSS FUNCTION
MAPPING
SIGMA MODEL
TWO-DIMENSIONAL CALCULATIONS
UNIVERSE
BOSON-EXCHANGE MODELS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
PERIPHERAL MODELS
QUARK MODEL
RIEMANN SPACE
SPACE
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)