Four-point functions and contact terms from higher-spin Ward identities of Chern-Simons-matter theory
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| Format: | Preprint |
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2024
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| _version_ | 1866917860510531584 |
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| author | Kukolj, Trivko |
| author_facet | Kukolj, Trivko |
| contents | Large $N$ quasifermionic ($QF$) Chern-Simons-matter theories exhibit weakly-broken higher-spin symmetry and contain an infinite-dimensional algebra of almost-conserved higher-spin currents. By analyzing local higher-spin Ward identities, we constrain the higher-spin algebra of this theory, for operators of spin $s<4$. The solution interpolates smoothly between Ward identities of free-fermionic and critical-bosonic $U(N)$ models, in accordance with the bosonization duality. At finite 't Hooft coupling, we decompose four-point current correlators involving $(\partial\cdot J_3)^{QF}$ in terms of free theory structures and identify possible epsilon-transform relations for $QF$ four-point functions. Additionally, we find that higher correlators of the theory develop scheme-independent higher-spin contact terms, stemming from the presence of a background Chern-Simons term in the effective action. These terms are related to similar contact terms of the associated quasibosonic Chern-Simons-matter theory via Legendre transform. The results are supplemented by perturbative checks, including collinear limit computations of $\langle T_{--}J_+J_+\rangle_{QF}$, $\langle T_{--}J_+J_+O\rangle_{QF}$ and $\langle J_{-{}-{}-}J_+J_+J_+\rangle_{QF}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_17011 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Four-point functions and contact terms from higher-spin Ward identities of Chern-Simons-matter theory Kukolj, Trivko High Energy Physics - Theory Large $N$ quasifermionic ($QF$) Chern-Simons-matter theories exhibit weakly-broken higher-spin symmetry and contain an infinite-dimensional algebra of almost-conserved higher-spin currents. By analyzing local higher-spin Ward identities, we constrain the higher-spin algebra of this theory, for operators of spin $s<4$. The solution interpolates smoothly between Ward identities of free-fermionic and critical-bosonic $U(N)$ models, in accordance with the bosonization duality. At finite 't Hooft coupling, we decompose four-point current correlators involving $(\partial\cdot J_3)^{QF}$ in terms of free theory structures and identify possible epsilon-transform relations for $QF$ four-point functions. Additionally, we find that higher correlators of the theory develop scheme-independent higher-spin contact terms, stemming from the presence of a background Chern-Simons term in the effective action. These terms are related to similar contact terms of the associated quasibosonic Chern-Simons-matter theory via Legendre transform. The results are supplemented by perturbative checks, including collinear limit computations of $\langle T_{--}J_+J_+\rangle_{QF}$, $\langle T_{--}J_+J_+O\rangle_{QF}$ and $\langle J_{-{}-{}-}J_+J_+J_+\rangle_{QF}$. |
| title | Four-point functions and contact terms from higher-spin Ward identities of Chern-Simons-matter theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.17011 |