Factorising the 3D topologically twisted index
We explore the path integration — upon the contour of hermitian (non-auxliary) field configurations — of topologically twisted N= 2 Chern-Simons-matter theory (TTCSM) on S2 times a segment. In this way, we obtain the formula for the 3D topologically twisted index, first as a convolution of TTCSM on...
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n4_p_CaboBizet |
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| Sumario: | We explore the path integration — upon the contour of hermitian (non-auxliary) field configurations — of topologically twisted N= 2 Chern-Simons-matter theory (TTCSM) on S2 times a segment. In this way, we obtain the formula for the 3D topologically twisted index, first as a convolution of TTCSM on S2 times halves of S1, second as TTCSM on S2 times S1 — with a puncture, — and third as TTCSM on S2× S1. In contradistinction to the first two cases, in the third case, the vector multiplet auxiliary field D is constrained to be anti-hermitian. © 2017, The Author(s). |
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