7-11 October 2019
Facultad de Ciencias Físicas, Universidad Complutense de Madrid
Europe/Madrid timezone

Large N limits and the golden ratio

8 Oct 2019, 12:10
35m
Aula M2 (Facultad de Ciencias Físicas, Universidad Complutense de Madrid)

Aula M2

Facultad de Ciencias Físicas, Universidad Complutense de Madrid

Plaza de Ciencias, 1 Ciudad Universitaria 28040 Madrid, Spain

Speaker

Margarita Garcia Perez (Instituto de Fisica Teorica)

Description

We analyze the low lying spectrum of SU(N) gauge theories on a 2-dimensional spatial torus in a singular large N limit obtained by sending the rank of the group to infinity while shrinking the size of the torus to zero. The absence of tachyonic instabilities along the process leads to constraints on the possible values of N and the magnetic flux on the torus, singling out a limiting sequence constructed out of Fibonacci numbers. We will discuss the implications of this observation for non-commutative gauge theory and volume reduction.

Primary authors

Antonio Gonzalez-Arroyo (Instituto de Fisica Teorica) Mateusz Koren Masanori Okawa (Hiroshima U.) Margarita Garcia Perez (Instituto de Fisica Teorica)

Presentation Materials

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