New infinite-dimensional symmetry groups for heterotic string theory

Journal Article · Fri Feb 15 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.044041· OSTI ID:21039161

Yajun, Gao ^[1]

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1. Department of Physics, Bohai University, Jinzhou 121013, Liaoning (China)

Some Riemann-Hilbert (RH) problems are introduced for carrying out symmetry transformations of the 2-dimensional heterotic string theory. A pair of RH transformations are constructed, and they are verified to give an infinite-dimensional symmetry group of the considered theory. This symmetry group has the structure of the semidirect product of the Kac-Moody group O(d,d+n)-circumflex and Virasoro group. Moreover, the infinitesimal forms of these RH transformations are calculated out, and they are found to give exactly the same results as in my previous paper. These demonstrate that the pair of RH transformations in the current paper provide exponentiations of all the infinitesimal symmetries in my previous paper. The finite forms of symmetry transformations given in the present paper are more important and useful for theoretic studies and new solution generation, etc.

• OSTI ID: 21039161
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
STRING MODELS
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS