By Jörg Teschner
This e-book studies a couple of impressive advances which were made within the research of supersymmetric quantum box theories within the previous few years. Highlights contain distinct calculations of Wilson loop expectation values, and hugely nontrivial quantitative exams of the long-standing electric-magnetic duality conjectures
The booklet starts off with an introductory article offering a survey of contemporary advances, geared toward a large viewers with a history and curiosity in theoretical physics. the next articles are written for complex scholars and researchers in quantum box thought, string concept and mathematical physics, our objective being to familiarize those readers with the leading edge of present research.
The subject matters lined contain fresh advances within the class and vacuum constitution of huge households of N=2 supersymmetric box theories, through an intensive dialogue of the localisation approach, probably the most robust instruments for specific reviews of supersymmetric box theories. The amounts which have been studied during this method are partition services, expectation values of line operators, and supersymmetric indices.
The publication additionally reports lately stumbled on connections among SUSY box theories in 4 dimensions and two-dimensional conformal box thought. those connections have a counterpart in relatives among third-dimensional gauge theories and Chern-Simons conception; the book’s ultimate chapters discover connections with string theory.