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Surface Operators in N=2 4d Gauge Theories
Davide Gaiotto
N=2 four dimensional gauge theories admit interesting half BPS surface operators preserving a (2,2) two dimensional SUSY algebra. Typical examples are (2,2) 2d sigma models with a…
Thermodynamic Bubble Ansatz
Luis F. Alday, Davide Gaiotto, Juan Maldacena
Motivated by the computation of scattering amplitudes at strong coupling, we consider minimal area surfaces in AdS_5 which end on a null polygonal contour at the boundary. We map t…
Loop and surface operators in N=2 gauge theory and Liouville modular geometry
Luis F. Alday, Davide Gaiotto, Sergei Gukov +2
Recently, a duality between Liouville theory and four dimensional N=2 gauge theory has been uncovered by some of the authors. We consider the role of extended objects in gauge theo…
Asymptotically free N=2 theories and irregular conformal blocks
Davide Gaiotto
A surprising connection between N=2 gauge theory instanton partition functions and conformal blocks has been recently proposed. We illustrate through simple examples the generaliza…
Wall-crossing, Hitchin Systems, and the WKB Approximation
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke
We consider BPS states in a large class of d=4, N=2 field theories, obtained by reducing six-dimensional (2,0) superconformal field theories on Riemann surfaces, with defect operat…
Liouville Correlation Functions from Four-dimensional Gauge Theories
Luis F. Alday, Davide Gaiotto, Yuji Tachikawa
We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function o…