Celestial Holography Summer School 2024

beta deformation in twistor space

Not scheduled

5m

PI/1-100 - Theatre (Perimeter Institute for Theoretical Physics)

Lightning Talks Lightning Talks

Speaker

Mr Eggon Viana (ICTP-SAIFR)

Description

In this work, we find the beta deformation states in the context of twistor string theory. For that, we make cohomological computations in the topological B-model defined on the projective space ${\mathbb{CP}}^{3|4}$. We identify the beta deformation states as elements of the BRST cohomology. We find that by first defining the beta deformation states as states leaving in a specific representation of the superconformal lie algebra $psu(2,2|4)$. We use previous works of A. Mikhailov to justify this definition. After that, we prove that the cohomology of ghost number 2 and conformal weight zero leaves precisely in this representation. The beta deformation that we found in this work could also be related to some algebraic operators, via twistor holography. This is a initial work relating beta deformation to twistor holography, and in the future this could also be investigated in the context of celestial holography. The motivation of this application is in that of providing a particular test for these holographic principles.