[신간의 별자리x] 우리/미술, 그리고 ‘슬픔의 박물관’

http://inspirehep.net/record/499969/files/arXiv:hep-th_9905111.pdf

Large N Field Theories, String Theory and Gravity

Phases of N = 2 theories in two dimensions

A Pair of Calabi-Yau manifolds as an exactly soluble superconformal theory

We develop techniques to compute higher loop string amplitudes for twistedN=2 theories withĉ=3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particular realization of theN=2 theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira-Spencer theory, which may be viewed as the closed string analog of the Chern-Simons theory. Using the mirror map this leads to computation of the ‘number’ of holomorphic curves of higher genus curves in Calabi-Yau manifolds. It is shown that topological amplitudes can also be reinterpreted as computing corrections to superpotential terms appearing in the effective 4d theory resulting from compactification of standard 10d superstrings on the correspondingN=2 theory. Relations withc=1 strings are also pointed out.

Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes

Chiral rings in N = 2 superconformal theories

Self-dual strings and N = 2 supersymmetric field theory

http://cds.cern.ch/record/271683/files/th-7495-94.pdf

Simple singularities and N = 2 supersymmetric Yang-Mills theory

We present a first step towards generalizing the work of Seiberg and Witten on N=2 supersymmetric Yang-Mills theory to arbitrary gauge groups. Specifically, we propose a particular sequence of hyperelliptic genus $n-1$ Riemann surfaces to underly the quantum moduli space of $SU(n)$ N=2 supersymmetric gauge theory. These curves have an obvious generalization to arbitrary simply laced gauge groups, which involves the A-D-E type simple singularities. To support our proposal, we argue that the monodromy in the semiclassical regime is correctly reproduced. We also give some remarks on a possible relation to string theory.

/pdf/simple-singularities-and-n-2-supersymmetric-yang-mills-1sv7qploo8.pdf

Wolfgang Lerche

Papers

Chiral rings in N = 2 superconformal theories

Self-dual strings and N = 2 supersymmetric field theory

Simple singularities and N = 2 supersymmetric Yang-Mills theory

Simple Singularities and N=2 Supersymmetric Yang-Mills Theory

Chiral four-dimensional heterotic strings from self-dual lattices