2d RG flow in next to leading order; comparison with Gaiotto's domain wall approach

by Rubik Poghossian (Yerevan Physics Institute)

Tuesday 30 Aug 2016, 14:00 → 15:00 Europe/Zurich

4/S-030 (CERN)

NOTE UNUSUAL PLACE Zamolodchikov's famous analysis of the RG trajectory connecting successive minimal CFT models $M_p$ and $M_{p-1}$ for $p >> 1$, is improved by including second order in coupling constant corrections. This allows to compute IR quantities with next to leading order accuracy of the $1/p$ expansion. We compute in particular, the beta function and the anomalous dimensions for certain classes of fields. As a result we are able to identify with a greater accuracy the IR limit of these fields with certain linear combination of the IR theory $M_{p-1}$. We compare the relation of these results with Gaiotto's RG domain wall proposal (the essentials of the proposal will be presented in much details) and find a perfect agreement.