Holomorphic Blocks in 3d


Dimofte, T. (2012). Holomorphic Blocks in 3d. Perimeter Institute. https://pirsa.org/12110056


Dimofte, Tudor. Holomorphic Blocks in 3d. Perimeter Institute, Nov. 06, 2012, https://pirsa.org/12110056


          @misc{ pirsa_PIRSA:12110056,
            doi = {10.48660/12110056},
            url = {https://pirsa.org/12110056},
            author = {Dimofte, Tudor},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Holomorphic Blocks in 3d},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {nov},
            note = {PIRSA:12110056 see, \url{https://pirsa.org}}

Tudor Dimofte University of Edinburgh


Recently techniques have been developed to compute the partition functions of 3d theories with N=2 supersymmetry on curved, compact spaces, in particular S^3 and S^2xS^1 (the latter giving a supersymmetric index). I will discuss how both of these partition functions can be decomposed as products of more fundamental, universal "holomorphic blocks." For 3d gauge theories arising from (auxiliary) 3-manifolds M, these holomorphic blocks are specific Chern-Simons partition functions on M.