XXV DAE-BRNS High Energy Physics Symposium 2022

Superconformal blocks for stress tensor and chiral operator for 4D $\mathcal{N}=2$ SCFT

12 Dec 2022, 14:00

1h

Foyer (IISER Mohali)

Poster Poster - 1

Speaker

Subhadeep Rakshit (Sikkim University)

Description

The superconformal bootstrap program for $\mathcal{N}=2$ superconformal field theories was initiated by Rastelli.et.al. The main ingredient for bootstrapping any CFTs is a four point function and which can be expressed interms of conformal partial waves. In this work we have computed the superconformal partial waves of the four-point correlator $\langle JJ\Phi\Phi^{\dagger}\rangle$, in which the external operator $J$ is the superconformal primary of the 4D $\mathcal{N} = 2$ stress-tensor multiplet and $\Phi$ is primary operator of chiral multiplet . We have used full fledged superembedding formalism for our work. In $\mathcal{N} = 2$ SCFTs, the three-point functions $\langle J J O\rangle$ and $\langle\Phi\Phi^{\dagger}\mathcal{O}\rangle$ with general multiplet $\mathcal{O}$ contain two independent nilpotent superconformal invariants and new superconformal tensor structures, which can be nicely constructed from variables in superembedding space, and the three-point functions can be solved in compact forms. We computed the superconformal partial waves corresponding to the exchange of long multiplets where the result for odd spin is consistent with non trivial constraints by the decompositions of $\mathcal{N}=2$ multiplet into several $\mathcal{N}=1$ multiplets.

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