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Holographic entanglement entropy of the Coulomb branch
,
Andy O’Bannon,
Anton Pribytok,
Ronnie Rodgers,
Jacopo Sisti
Journal of High Energy Physics, Volume: 2021, Issue: 4
Swansea University Author:
Prem Kumar
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DOI (Published version): 10.1007/jhep04(2021)153
Abstract
We compute entanglement entropy (EE) of a spherical region in (3 + 1)- dimensional N = 4 supersymmetric SU(N) Yang-Mills theory in states described holographically by probe D3-branes in AdS5 × S5. We do so by generalising methods for computing EE from a probe brane action without having to determine...
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
Springer Science and Business Media LLC
2021
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa56387 |
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| Abstract: |
We compute entanglement entropy (EE) of a spherical region in (3 + 1)- dimensional N = 4 supersymmetric SU(N) Yang-Mills theory in states described holographically by probe D3-branes in AdS5 × S5. We do so by generalising methods for computing EE from a probe brane action without having to determine the probe’s back- reaction. On the Coulomb branch with SU(N) broken to SU(N − 1) × U(1), we find the EE monotonically decreases as the sphere’s radius increases, consistent with the a-theorem. The EE of a symmetric-representation Wilson line screened in SU(N − 1) also monotonically decreases, although no known physical principle requires this. A spherical soliton separating SU(N) inside from SU(N − 1) × U(1) outside had been proposed to model an extremal black hole. However, we find the EE of a sphere at the soliton’s radius does not scale with the surface area. For both the screened Wilson line and soliton, the EE at large radius is described by a position-dependent W-boson mass as a short-distance cutoff. Our holographic results for EE and one-point functions of the Lagrangian and stress-energy tensor show that at large distance the soliton looks like a Wilson line in a direct product of fundamental representations. |
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| Keywords: |
AdS-CFT Correspondence; Conformal Field Theory; Gauge-gravity correspondence; Supersymmetric Gauge Theory |
| College: |
Faculty of Science and Engineering |
| Funders: |
STFC |
| Issue: |
4 |