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Mathematics around Twisted Holography

CMSA EVENTS: CMSA Geometry and Quantum Theory Seminar

When: September 17, 2024
4:00 pm - 6:00 pm
Where: CMSA, 20 Garden St, G10
Address: 20 Garden Street, Cambridge, MA 02138, United States
Speaker: Keyou Zeng (CMSA)

The holography principle is an important idea in physics and has been widely studied since the 90s. Twisted holography offers a way to simplify physical holography models through the procedure called twisting. In the first
part of the talk, I’ll introduce some of the mathematical structures underlying this twisted version of holography, such as Koszul duality.

In the second part, I’ll discuss the concept of vertex algebras in symmetric monoidal categories, specifically in Deligne category. This framework will serve as a tool to rigorously define the “large N” algebra that emerges from
twisted holography.