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Strings in Background Fields, Beta Functions and Vertex Operators

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DOI: 10.1103/PhysRevD.34.3760
OAI: oai:inspirehep.net:18733
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INSPIRE-HEP
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Abstract

We review the conditions for consistent propagation of closed strings in background fields and discuss the connection between conformal invariance and the vanishing of the renormalization-group β functions for the generalized σ model on a curved world sheet. The β functions with up to four derivative terms are found to be compatible with graviton and dilaton equations of motion provided the former are computed in a nonminimal subtraction scheme. Finally, vertex operators in background fields are discussed and it is shown that the anomalous dimension operator is given by the first variation of the β function to all orders in α’.

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