Supersymmetric Landau-Ginzburg Tensor Models


Chang, C. (2019). Supersymmetric Landau-Ginzburg Tensor Models. Perimeter Institute. https://pirsa.org/19050009


Chang, Chi-Ming. Supersymmetric Landau-Ginzburg Tensor Models. Perimeter Institute, May. 07, 2019, https://pirsa.org/19050009


          @misc{ pirsa_19050009,
            doi = {},
            url = {https://pirsa.org/19050009},
            author = {Chang, Chi-Ming},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Supersymmetric Landau-Ginzburg Tensor Models},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {may},
            note = {PIRSA:19050009 see, \url{https://pirsa.org}}


Melonic tensor model is a new type of solvable model, where the melonic Feynman diagrams dominate in the large N limit. The melonic dominance, as well as the solvability of the model, relies on a special type of interaction vertex, which generically would not be preserved under renormalization group flow. I will discuss a class of 2d N=(2,2) melonic tensor models, where the non-renormalization of the superpotential protects the melonic dominance. Another important feature of our models is that they admit a novel type of deformations which gives a large IR conformal manifold. At generic point of the conformal manifold, all the flavor symmetries (including the O(N)^{q-1} symmetry) are broken and all the flat directions in the potential are lifted. I will also discuss how the operator spectrum and the chaos exponent depend on the deformation parameters.