solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看3915次
Integrable deformations of the $G_{k_1} \times G_{k_2}/G_{k_1+k_2}$ coset CFTs. (arXiv:1710.02515v2 [hep-th] UPDATED)
来源于:arXiv
We study the effective action for the integrable $\lambda$-deformation of the
$G_{k_1} \times G_{k_2}/G_{k_1+k_2}$ coset CFTs. For unequal levels theses
models do not fall into the general discussion of $\lambda$-deformations of
CFTs corresponding to symmetric spaces and have many attractive features. We
show that the perturbation is driven by parafermion bilinears and we revisit
the derivation of their algebra. We uncover a non-trivial symmetry of these
models parametric space, which has not encountered before in the literature.
Using field theoretical methods and the effective action we compute the exact
in the deformation parameter $\beta$-function and explicitly demonstrate the
existence of a fixed point in the IR corresponding to the
$G_{k_1-k_2} \times G_{k_2}/G_{k_1}$ coset CFTs. The same result is verified
using gravitational methods for $G=SU(2)$. We examine various limiting cases
previously considered in the literature and found agreement. 查看全文>>