We investigate the relation between 3dN = 2 theories and 2d free field correlators or Dotsenko-Fateev (DF) integrals for Liouville CFT. We show that the S2× S1 partition functions of some known 3d Seiberg-like dualities reduce, in a suitable 2d limit, to known basic duality identities for DF correlators. These identities are applied in a variety of contexts in CFT, as for example in the derivation of the DOZZ 3-point function. Reversing the logic, we can try to guess new 3d IR dualities which reduce to more intricate duality relations for the DF correlators. For example, we show that a recently proposed duality relating the U(N) theory with one flavor and one adjoint to a WZ model can be regarded as the 3d ancestor of the evaluation formula for the DF integral representation of the 3-point correlator. We are also able to interpret the analytic continuation in the number of screening charges, which is performed on the CFT side to reconstruct the DOZZ 3-point function, as the geometric transition relating the 3d U(N) theory to the 5d T2 theory.
Pasquetti, S., & Sacchi, M. (2019). From 3d dualities to 2d free field correlators and back. JOURNAL OF HIGH ENERGY PHYSICS, 2019(11) [10.1007/JHEP11(2019)081].
|Citazione:||Pasquetti, S., & Sacchi, M. (2019). From 3d dualities to 2d free field correlators and back. JOURNAL OF HIGH ENERGY PHYSICS, 2019(11) [10.1007/JHEP11(2019)081].|
|Tipo:||Articolo in rivista - Articolo scientifico|
|Carattere della pubblicazione:||Scientifica|
|Presenza di un coautore afferente ad Istituzioni straniere:||No|
|Titolo:||From 3d dualities to 2d free field correlators and back|
|Autori:||Pasquetti, S; Sacchi, M|
PASQUETTI, SARA [Membro del Collaboration Group]
SACCHI, MATTEO [Membro del Collaboration Group] (Corresponding)
|Data di pubblicazione:||2019|
|Rivista:||JOURNAL OF HIGH ENERGY PHYSICS|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1007/JHEP11(2019)081|
|Appare nelle tipologie:||01 - Articolo su rivista|