Jun 13 – 19, 2015
University of Alberta
America/Edmonton timezone
Welcome to the 2015 CAP Congress! / Bienvenue au congrès de l'ACP 2015!

Novel Charges in CFT's

Jun 16, 2015, 9:45 AM
CCIS L1-160 (University of Alberta)

CCIS L1-160

University of Alberta

Oral (Non-Student) / orale (non-étudiant) Theoretical Physics / Physique théorique (DTP-DPT) T1-4 Mathematical Physics (DTP) / Physique mathématique (DPT)


Dr Pablo Diaz Benito (University of Lethbridge)


In this talk we construct two infinite sets of self-adjoint commuting charges for a quite general CFT. They come out naturally by considering an infinite embedding chain of Lie algebras, an underlying structure that share all theories with gauge groups U(N), SO(N) and Sp(N). The generality of the construction allows us to carry all gauge groups at the same time in a unified framework, and so to understand the similarities among them. The eigenstates of these charges are restricted Schur polynomials and their eigenvalues encode the value of the correlators of two restricted Schurs. The existence of these charges singles out restricted Schur polynomials among the number of bases of orthogonal gauge invariant operators that are available in the literature.

Primary author

Dr Pablo Diaz Benito (University of Lethbridge)

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