Wall-crossing, Hitchin Systems, and the WKB Approximation
- D. Gaiotto, G. Moore, A. Neitzke
- Mathematics
- 23 July 2009
Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory
- D. Gaiotto, G. Moore, A. Neitzke
- Mathematics
- 29 July 2008
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 instanton…
Framed BPS states
- D. Gaiotto, G. Moore, A. Neitzke
- Mathematics
- 1 June 2010
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 call…
Spectral Networks
- D. Gaiotto, G. Moore, A. Neitzke
- Mathematics
- 21 April 2012
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 in…
R-Twisting and 4d/2d Correspondences
- S. Cecotti, A. Neitzke, C. Vafa
- Mathematics
- 17 June 2010
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…
Asymptotic black hole quasinormal frequencies
- L. Motl, A. Neitzke
- Physics
- 23 January 2003
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 we…
Topological M-theory as unification of form theories of gravity
- R. Dijkgraaf, S. Gukov, A. Neitzke, C. Vafa
- Physics
- 5 November 2004
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 on…
Twistors and black holes
- A. Neitzke, B. Pioline, S. Vandoren
- Mathematics
- 23 January 2007
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.…
Wall-crossing in coupled 2d-4d systems
- D. Gaiotto, G. Moore, A. Neitzke
- Mathematics
- 14 March 2011
A bstractWe introduce a new wall-crossing formula which combines and generalizes the Cecotti-Vafa and Kontsevich-Soibelman formulas for supersymmetric 2d and 4d systems respectively. This 2d-4d…
Spectral Networks and Fenchel–Nielsen Coordinates
- Lotte Hollands, A. Neitzke
- Mathematics
- 10 December 2013
It is known that spectral networks naturally induce certain coordinate systems on moduli spaces of flat SL(K)-connections on surfaces, previously studied by Fock and Goncharov. We give a…
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