Lakshya Bhardwaj

Harvard University

March 30, 2020

I will explain that a geometric theory built upon the theory of complex surfaces can be used to understand wide variety of phenomena in five-dimensional supersymmetric theories, which includes the following: Classification of 5d superconformal field theories (SCFTs)

Enhanced flavor symmetries of 5d SCFTs

5d N=1 gauge theory descriptions of 5d and 6d SCFTs

Dualities between 5d N=1 gauge theories

T-dualities between 6d N=(1,0) little string theories

This relationship between geometry and 5d theories is based on M-theory and F-theory compactifications

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Enhanced flavor symmetries of 5d SCFTs

5d N=1 gauge theory descriptions of 5d and 6d SCFTs

Dualities between 5d N=1 gauge theories

T-dualities between 6d N=(1,0) little string theories

This relationship between geometry and 5d theories is based on M-theory and F-theory compactifications

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