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1.
Fractional Hydrodynamic Transport from the Witten Anomaly / Davighi, Joe ; Lohitsiri, Nakarin ; Poovuttikul, Napat
We study the physical consequences of 't Hooft anomalies in the high-temperature limit of relativistic quantum field theories with $SU(2)$, or more generally $USp(2N)$, global symmetry. [...]
CERN-TH-2024-223 ; arXiv:2412.17650.
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Fulltext
2.
WZW terms without anomalies: generalised symmetries in chiral Lagrangians / Davighi, Joe (CERN) ; Lohitsiri, Nakarin (Durham U., Dept. of Math.)
We consider a 4d non-linear sigma model on the coset $(\mathrm{SU}(N)_L \times \mathrm{SU}(N)_R \times \mathrm{SU}(2))/(\mathrm{SU}(N)_{L+R}\times \mathrm{U}(1))\cong \mathrm{SU}(N) \times S^2$, that features a topological Wess-Zumino-Witten (WZW) term whose curvature is $\frac{n}{24\pi^2}\mathrm{Tr}(g^{-1}dg)^3 \wedge \mathrm{Vol}_{S^2}$ where $g$ is the $\mathrm{SU}(N)$ pion field. This WZW term, unlike its familiar cousin in QCD, does not match any chiral anomaly, so its microscopic origin is not obviously QCD-like. [...]
arXiv:2407.20340; CERN-TH-2024-120.- 2024-07-29 - 43 p. - Published in : SciPost Phys. 17 (2024) 168 Fulltext: PDF;
3.
A Non-Perturbative Mixed Anomaly and Fractional Hydrodynamic Transport / Davighi, Joe (CERN) ; Lohitsiri, Nakarin (Durham U., Dept. of Math.) ; Poovuttikul, Napat (Chulalongkorn U.)
We present a new non-perturbative 't Hooft anomaly afflicting a quantum field theory with symmetry group $G=U(1)\times \mathbb{Z}_2$ in four dimensions. We use the Adams spectral sequence to compute that the bordism group $\Omega^\text{Spin}_5(BG)$, which classifies anomalies that remain when perturbative anomalies cancel, is $\mathbb{Z}_4$. [...]
arXiv:2311.18023; CERN-TH-2023-213.- 2024-03-20 - 35 p. - Published in : JHEP 2403 (2024) 119 Fulltext: 2311.18023 - PDF; document - PDF;

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