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Erratum to: Recurrence relations for the $$ \mathcal{} $$3 conformal blocks and N$$ \mathcal{N} $$ = 2 SYM partition functions

HJE W3 conformal Rubik Poghossian 0 Yerevan Physics Institute 0 Open Access. 0 0 Alikhanian Br. 2, AM-0036 Yerevan , Armenia - N be replaced by T1 and T2 respectively. There is a technical error

Recurrence relations for the \( {\mathcal{W}}_3 \) conformal blocks and \( \mathcal{N}=2 \) SYM partition functions

Received: June W3 conformal blocks and Rubik Poghossian 0 Yerevan Physics Institute 0 Supersymmetric Gauge Theory 0 Alikhanian Br. 2, AM-0036 Yerevan , Armenia Recursion relations for the sphere 4

VEV of Baxter’s Q-operator in N = 2 gauge theory and the BPZ differential equation

In this short note using AGT correspondence we express the simplest fully degenerate primary fields of Toda field theory in terms of an analogue of Baxter’s Q-operator naturally emerging on the \( \mathcal{N} \) = 2 gauge theory side. This quantity can be considered as a generating function of certain chiral operators constructed from the scalars of the \( \mathcal{N} \) = 2...

Deformed SW curve and the null vector decoupling equation in Toda field theory

It is shown that the deformed Seiberg-Witten curve equation after Fourier transform is mapped into a differential equation for the AGT dual 2d CFT cnformal block containing an extra completely degenerate field. We carefully match parameters in two sides of duality thus providing not only a simple independent prove of the AGT correspondence in Nekrasov-Shatashvili limit, but also...

The light asymptotic limit of conformal blocks in Toda field theory

We compute the light asymptotic limit of A n−1 Toda conformal blocks by using the AGT correspondence. We show that for certain class of CFT blocks the corresponding Nekrasov partition functions in this limit are simplified drastically being represented as a sum of a restricted class of Young diagrams. In the particular case of A 2 Toda we also compute the corresponding conformal...

Two dimensional renormalization group flows in next to leading order

Rubik Poghossian 0 0 Yerevan Physics Institute Alikhanian Br. 2 , 0036 Yerevan, Armenia Zamolodchikov's famous analysis of the RG trajectory connecting successive minimal CFT models Mp and Mp1 for p

Precision spectroscopy and higher spin symmetry in the ABJM model

We revisit Kaluza-Klein compactification of 11-d supergravity on \( {{{{S^7}}} \left/ {{{\mathbb{Z}_k}}} \right.} \) using group theory techniques that may find application in other flux vacua with internal coset spaces. Among the SO(2) neutral states, we identify marginal deformations and fields that couple to the recently discussed world-sheet instanton of Type IIA on...