Particle Theory Seminar: Apratim Kaviraj, Indian Inst of Science, “Conformal Bootstrap in Mellin space”

Event time: 
Tuesday, September 13, 2016 - 3:30pm to 4:30pm
Sloane Physics Laboratory (SPL), 52 See map
217 Prospect St.
New Haven, CT 06511
Event description: 

“Conformal Bootstrap in Mellin space”

In one of his pioneering works, Polyakov had used conformal symmetries to introduce “unitary amplitudes” that described a 4-point function. Demanding consistency of the unitary amplitude description with the OPE of a correlator, he could obtain nontrivial data of the operator spectrum. In the modern language, Polyakov’s unitary amplitudes seem to emerge from the mellin formalism of conformal field theories. A manifestly crossing symmetric mellin transform of a CFT correlator can give rise to spurious terms, not present in the OPE. Demanding the cancellation of the spurious terms lead to nontrivial information of the operators of the CFT. Using this approach, we can obtain various anomalous dimensions and OPE coefficients for both weakly coupled and strongly coupled CFTs (including new results for Wilson-Fisher point and the large spin sector).