Construction of topological conformal field theories
In this lecture I review the construction of two dimensional Topologiccal Conformal Field Theories fromN=2 superconformal theories. We show that a BRST structure emerges upon a twisting of theN=2 superconformal algebra. Moreover, the energy-momentum tensor of the twisted theory is BRST-exact and all the physical correlation functions are independeent of the two dimensional metric. We briefly mention several generalizations such as the construction of topological superconformal theories as well as the topological conformal theories on higher genus Riemann surfaces.
Volume 94, 2020
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