PIRSA:19050009 Scientific Series Quantum Fields and Strings

DOI10.48660/19050009

Series: Quantum Fields and Strings

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_PIRSA:19050009,
  doi = {10.48660/19050009},
  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}}
}

Abstract

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.

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