Beta functions for the duality-invariant sigma model

Abstract

The $O(d,d)$ invariant worldsheet theory for bosonic string theory with $d$ abelian isometries is employed to compute the beta functions and Weyl anomaly at one-loop. We show that vanishing of the Weyl anomaly coefficients implies the equations of motion of the Maharana-Schwarz action. We give a self-contained introduction into the required techniques, including beta functions, the Weyl anomaly for two-dimensional sigma models and the background field method. This sets the stage for a sequel to this paper on generalizations to higher loops and ${\alpha }^{\prime }$ corrections.

arXiv comment47 pages, v2: version to appear in JHEP

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Cited by in corpus (4)

• General String Cosmologies at Order ${\alpha }^{\prime }{}^3$
• Non-linear stability of ${\alpha }^{\prime }$-corrected Friedmann equations
• A different kind of four dimensional brane for string theory
• Duality invariant string beta functions at two loops