The determination of the exact BPS spectrum of a (large class of) four–dimensional N=2 QFT’s is equivalent to the Representation Theory of certain associative algebras, namely the path algebras of quivers bounded by the Jacobian ideal of a superpotential W. In this contest there is a detailed dictionary between QFT and Representation Theory. Properties which are elementary on one side are tipically subtle and hard to prove in the other. Hence both subjects have something to learn from the correspondence.

N=2 SUSY and Representation Theory: An Introduction

Cecotti, Sergio
2012-01-01

Abstract

The determination of the exact BPS spectrum of a (large class of) four–dimensional N=2 QFT’s is equivalent to the Representation Theory of certain associative algebras, namely the path algebras of quivers bounded by the Jacobian ideal of a superpotential W. In this contest there is a detailed dictionary between QFT and Representation Theory. Properties which are elementary on one side are tipically subtle and hard to prove in the other. Hence both subjects have something to learn from the correspondence.
2012
Proceeding of the 7th International Conference on Mathematical Methods in Physics, 16 - 20 April 2012, Rio de Janeiro, Brazil
Pos(ICNP 2012)
1
14
https://pos.sissa.it/archive/conferences/175/005/ICMP%202012_005.pdf
SISSA
Cecotti, Sergio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12485
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