String Theory Seminars

Exact WKB analysis of Ω-deformed Seiberg-Witten Theory (Quantum Spacetime Seminar)

by Prof. Dileep Jatkar (Harish-Chandra Research Institute, Allahabad)

Monday, April 4, 2016 from to (Asia/Kolkata)
at A304
Description
We study N=2 Seiberg-Witten theory coupled to 0 ≤ Nf ≤ 4 flavours. Using 4D-2D relation we derive the differential equations satisfied by ε1 and ε2 deformed instanton partition functions in each of these cases. In the semi-classical limit we show that these differential equations take a form amenable to exact WKB analysis. We compute the monodromy group associated to the respective differential equations in terms of ε1-deformed and Borel resummed Seiberg-Witten data. For each case we study pairs of Stokes graphs that are related by flips and pops, and show that the monodromy group allows one to derive the Stokes automorphisms that arise as the phase of ε1 is varied.
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