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Wall-crossing, Hitchin Systems, and the WKB Approximation
We consider BPS states in a large class of d = 4,N = 2 eld theories, obtained by reducing six-dimensional (2; 0) superconformal eld theories on Riemann surfaces, with defect operators inserted atExpand
Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory
We give a physical explanation of the Kontsevich-Soibelman wall-crossing formula for the BPS spectrum in Seiberg-Witten theories. In the process we give an exact description of the BPS instantonExpand
Framed BPS states
We consider a class of line operators in d = 4,N = 2 supersymmetric field theories which leave four supersymmetries unbroken. Such line operators support a new class of BPS states which we callExpand
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 monodromyExpand
Spectral Networks
We introduce new geometric objects called spectral networks. Spectral networks are networks of trajectories on Riemann surfaces obeying certain local rules. Spectral networks arise naturally inExpand
Topological M-theory as unification of form theories of gravity
We introduce a notion of topological M-theory and argue that it provides a unification of form theories of gravity in various dimensions. Its classical solutions involve G_2 holonomy metrics onExpand
Twistors and black holes
Motivated by black hole physics in N=2, D=4 supergravity, we study the geometry of quaternionic-Kahler manifolds M obtained by the c-map construction from projective special Kahler manifolds M_s.Expand
Asymptotic black hole quasinormal frequencies
We give a new derivation of the quasinormal frequencies of Schwarzschild black holes in d>=4 and Reissner-Nordstrom black holes in d=4, in the limit of infinite damping. For Schwarzschild in d>=4 weExpand
Argyres-Seiberg Duality and the Higgs Branch
We demonstrate the agreement between the Higgs branches of two $${\mathcal{N}=2}$$ theories proposed by Argyres and Seiberg to be S-dual, namely the SU(3) gauge theory with six quarks, and the SU(2)Expand
Line defects, tropicalization, and multi-centered quiver quantum mechanics
A bstractWe study BPS line defects in N$$ \mathcal{N} $$ = 2 supersymmetric four-dimensional field theories. We focus on theories of “quiver type,” those for which the BPS particle spectrum can beExpand