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Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
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
Topological-anti-topological fusion
R-Twisting and 4d/2d Correspondences
We show how aspects of the R-charge of N=2 CFTs in four dimensions are encoded in the q-deformed Kontsevich-Soibelman monodromy operator, built from their dyon spectra. In particular, the monodromy
GEOMETRY OF TYPE II SUPERSTRINGS AND THE MODULI OF SUPERCONFORMAL FIELD THEORIES
We study general properties of the low-energy effective theory for 4D type II superstrings obtained by the compactification on an abstract (2,2) superconformal system. This is the basic step towards
On classification ofN=2 supersymmetric theories
We find a relation between the spectrum of solitons of massiveN=2 quantum field theories ind=2 and the scaling dimensions of chiral fields at the conformal point. The condition that the scaling
T-branes and monodromy
We introduce T-branes, or “triangular branes”, which are novel non-abelian bound states of branes characterized by the condition that on some loci, their matrix of normal deformations, or Higgs
$\mathcal{N} = 2$ quantum field theories and their BPS quivers
We explore the relationship between four-dimensional N = 2 quantum eld theories and their associated BPS quivers. For a wide class of theories including super-Yang-Mills theories, Argyres-Douglas
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