Journal article 608 views 39 downloads
Dualties of adjoint QCD3 from branes
Journal of High Energy Physics, Volume: 2022, Issue: 9
Swansea University Author:
Adi Armoni
-
PDF | Version of Record
Copyright: The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0)
Download (277.89KB)
DOI (Published version): 10.1007/jhep09(2022)073
Abstract
We consider an ‘electric’ U(N) level k QCD3_{3}3 theory with one adjoint Majorana fermion. Inspired by brane dynamics, we suggest that for k ≥ N/2 the massive m < 0 theory, in the vicinity of the supersymmetric point, admits a U(k−N2)−(12k+34N),−(k+N2) \mathrm{U}{\left(k-\frac{N}{2}\right)}_{-\l...
Published in: | Journal of High Energy Physics |
---|---|
ISSN: | 1029-8479 |
Published: |
Springer Science and Business Media LLC
2022
|
Online Access: |
Check full text
|
URI: | https://cronfa.swan.ac.uk/Record/cronfa61176 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Abstract: |
We consider an ‘electric’ U(N) level k QCD3_{3}3 theory with one adjoint Majorana fermion. Inspired by brane dynamics, we suggest that for k ≥ N/2 the massive m < 0 theory, in the vicinity of the supersymmetric point, admits a U(k−N2)−(12k+34N),−(k+N2) \mathrm{U}{\left(k-\frac{N}{2}\right)}_{-\left(\frac{1}{2}k+\frac{3}{4}N\right),-\left(k+\frac{N}{2}\right)} U(k−2N)−(21k+43N),−(k+2N) ‘magnetic’ dual with one adjoint Majorana fermion. The magnetic theory flows in the IR to a topological U(k−N2)−N,−(k+N2) \mathrm{U}{\left(k-\frac{N}{2}\right)}_{-N,-\left(k+\frac{N}{2}\right)} U(k−2N)−N,−(k+2N) pure Chern-Simons theory in agreement with the dynamics of the electric theory. When k < N/2 the magnetic dual is U(N2−k)12k+34N,N \mathrm{U}{\left(\frac{N}{2}-k\right)}_{\frac{1}{2}k+\frac{3}{4}N,N} U(2N−k)21k+43N,N with one adjoint Majorana fermion. Depending on the sign of the fermion mass, the magnetic theory flows to either U(N2−k)N,N \mathrm{U}{\left(\frac{N}{2}-k\right)}_{N,N} U(2N−k)N,N or U(N2−k)12N+k,N \mathrm{U}{\left(\frac{N}{2}-k\right)}_{\frac{1}{2}N+k,N} U(2N−k)21N+k,N TQFT. A second magnetic theory, U(N/2+k)12k−34N,N \mathrm{U}{\left(N/2+k\right)}_{\frac{1}{2}k-\frac{3}{4}N,N} U(N/2+k)21k−43N,N, flows to either U(N2+k)−N,−N \mathrm{U}{\left(\frac{N}{2}+k\right)}_{-N,-N} U(2N+k)−N,−N or U(N2+k)−(12N−k),−N \mathrm{U}{\left(\frac{N}{2}+k\right)}_{-\left(\frac{1}{2}N-k\right),-N} U(2N+k)−(21N−k),−N TQFT. Dualities for SO and USp theories with one adjoint fermion are also discussed. |
---|---|
Keywords: |
Brane Dynamics in Gauge Theories, Chern-Simons Theories, Duality in Gauge Field Theories, Supersymmetry and Dua |
College: |
Faculty of Science and Engineering |
Funders: |
Article funded by SCOAP |
Issue: |
9 |