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Perturbative Aspects of Heterotically Deformed CP(N-1) Sigma Model. I · Around

2010

Perturbative Aspects of Heterotically Deformed CP(N-1) Sigma Model. I

Cui, Xiaoyi, Shifman, M.

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In this paper we begin the study of renormalizations in the heterotically deformed N=(0,2) CP(N-1) sigma models.

In addition to the coupling constant g^2 of the undeformed N=(2,2) model, there is the second coupling constant \gamma describing the strength of the heterotic deformation.
We calculate both \beta functions, \beta_g and \beta_\gamma at one loop, determining the flow of g^2 and \gamma.
Under a certain choice of the initial conditions, the theory is asymptotically free.

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E. Witten,

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