Lectures on 2d Gauge Theories: Topological Aspects and Path Integral Techniques

dc.creatorBlau, Matthias
dc.creatorThompson, George
dc.date1993-10-21
dc.date.accessioned2026-07-07T04:19:46Z
dc.date.available2026-07-07T04:19:46Z
dc.descriptionThese are lecture notes of lectures presented at the 1993 Trieste Summer School, dealing with two classes of two-dimensional field theories, (topological) Yang-Mills theory and the G/G gauged WZW model. The aim of these lectures is to exhibit and extract the topological information contained in these theories, and to present a technique (a Weyl integral formula for path integrals) which allows one to calculate directly their partition function and topological correlation functions on arbitrary closed surfaces. Topics dealt with are (among others): solution of Yang-Mills theory on arbitrary surfaces; calculation of intersection numbers of moduli spaces of flat connections; coupling of Yang-Mills theory to coadjoint orbits and intersection numbers of moduli spaces of parabolic bundles; derivation of the Verlinde formula from the G/G model; derivation of the shift k to k+h in the G/G model via the index of the twisted Dolbeault complex.
dc.description70 A4 pages, LaTex, IC/93/356
dc.identifierhttps://arxiv.org/abs/hep-th/9310144
dc.identifierhttp://arxiv.org/abs/hep-th/9310144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53700
dc.subjectHigh Energy Physics - Theory
dc.titleLectures on 2d Gauge Theories: Topological Aspects and Path Integral Techniques
dc.typetext

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