Nonperturbative phase diagram of two-dimensional ${\cal N} = (2, 2)$ super-Yang--Mills
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866916393041002496 |
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| author | Dhindsa, Navdeep Singh Jha, Raghav G. Joseph, Anosh Schaich, David |
| author_facet | Dhindsa, Navdeep Singh Jha, Raghav G. Joseph, Anosh Schaich, David |
| contents | We consider two-dimensional ${\cal N} = (2, 2)$ Yang--Mills theory with gauge group SU($N$) in Euclidean signature compactified on a torus with thermal fermion boundary conditions imposed on one cycle. We perform non-perturbative lattice analyses of this theory for large $12 \leq N \leq 20$. Although no holographic dual of this theory is yet known, we conduct numerical investigations to check for features similar to the two-dimensional ${\cal N} = (8, 8)$ Yang--Mills theory, which has a well-defined gravity dual. We perform lattice field theory calculations to determine the phase diagram, observing a spatial deconfinement transition similar to the maximally supersymmetric case. However, the transition does not continue to low temperature, implying the absence of a topology-changing transition between black hole geometries in any holographic dual for this four-supercharge theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_04980 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nonperturbative phase diagram of two-dimensional ${\cal N} = (2, 2)$ super-Yang--Mills Dhindsa, Navdeep Singh Jha, Raghav G. Joseph, Anosh Schaich, David High Energy Physics - Lattice High Energy Physics - Theory We consider two-dimensional ${\cal N} = (2, 2)$ Yang--Mills theory with gauge group SU($N$) in Euclidean signature compactified on a torus with thermal fermion boundary conditions imposed on one cycle. We perform non-perturbative lattice analyses of this theory for large $12 \leq N \leq 20$. Although no holographic dual of this theory is yet known, we conduct numerical investigations to check for features similar to the two-dimensional ${\cal N} = (8, 8)$ Yang--Mills theory, which has a well-defined gravity dual. We perform lattice field theory calculations to determine the phase diagram, observing a spatial deconfinement transition similar to the maximally supersymmetric case. However, the transition does not continue to low temperature, implying the absence of a topology-changing transition between black hole geometries in any holographic dual for this four-supercharge theory. |
| title | Nonperturbative phase diagram of two-dimensional ${\cal N} = (2, 2)$ super-Yang--Mills |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.04980 |