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

Journal Article · Mon Mar 30 04:00:00 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]

---

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

Related Subjects

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