Orateur
Description
The exact WKB method is at first developed for studying schr\"{o}dinger equation and its higher order generalizations. It has been further proved to be connected to the $4d$ $\mathcal{N}=2$ supersymmetric field theory, especially to the BPS states. In this talk, I will focus on a specific example of the Schr\"{o}dinger equation corresponding to the four dimensional $SU(2)$ $\mathcal{N} = 2$ SQCD theory with one flavour. I will introduce the exact quantization condition which is important for generalized bound state energy problem. It can be expressed in terms of Voros symbols, or quantum periods. I will also show the four different ways we used to calculate the quantum periods: Borel summation of the WKB series, direct computation of Wronskians of exponentially decaying solutions, the TBA equations of Gaiotto-Moore-Neitzke/Gaiotto, and instanton counting.
| Type of contribution | Contributed Talk or Poster |
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