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Dualties of adjoint QCD3 from branes
Journal of High Energy Physics, Volume: 2022, Issue: 9
Swansea University Author:
Adi Armoni
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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 |
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| ISSN: | 1029-8479 |
| Published: |
Springer Science and Business Media LLC
2022
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa61176 |
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| 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. |
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| 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 |