A cohomological approach reproduces the Cardy formula for the leading perturbative beta function in current-current deformations of 2D CFTs as the coefficient of an obstructing cocycle.
Peculiarities of beta functions in sigma models
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Cohomological beta function
A cohomological approach reproduces the Cardy formula for the leading perturbative beta function in current-current deformations of 2D CFTs as the coefficient of an obstructing cocycle.