TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.5.140
TI  - Disordered $\mathcal{N} = (2, 2)$ supersymmetric field theories
PY  - 2024/05/30
UR  - https://scipost.org/SciPostPhys.16.5.140
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 5
SP  - 140
A1  - Chang, Chi-Ming
AU  - Shen, Xiaoyang
AB  - We investigate a large class of $\mathcal{N}=(2,2)$ supersymmetric field theories in two dimensions, which contains the Murugan-Stanford-Witten model, and can be naturally regarded as a disordered generalization of the two-dimensional Landau-Ginzburg models. We analyze the two and four-point functions of chiral superfields, and extract from them the central charge, the operator spectrum, and the chaos exponent in these models. Some of the models exhibit a conformal manifold parameterized by the variances of the random couplings. We compute the Zamolodchikov metrics on the conformal manifold, and demonstrate that the chaos exponent varies nontrivally along the conformal manifolds. Finally, we introduce and perform some preliminary analysis of a disordered generalization of the gauged linear sigma models, and discuss the low energy theories as ensemble averages of Calabi-Yau sigma models over complex structure moduli space.
ER  -

@Article{10.21468/SciPostPhys.16.5.140,
	title={{Disordered $\mathcal{N} = (2, 2)$ supersymmetric field theories}},
	author={Chi-Ming Chang and Xiaoyang Shen},
	journal={SciPost Phys.},
	volume={16},
	pages={140},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.5.140},
	url={https://scipost.org/10.21468/SciPostPhys.16.5.140},
}