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Title of Journal: Commun Math Phys

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Abbravation: Communications in Mathematical Physics

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Springer-Verlag

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DOI

10.1007/s10113-008-0063-7

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1432-0916

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Stability and Duality in mathcalN=2

Authors: Jan Manschot
Publish Date: 2010/08/13
Volume: 299, Issue: 3, Pages: 651-676
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Abstract

The BPSspectrum is known to change when moduli cross a wall of marginal stability This paper tests the compatibility of wallcrossing with Sduality and electricmagnetic duality for mathcalN=2 supergravity To this end the BPSspectrum of D4D2D0 branes is analyzed in the large volume limit of CalabiYau moduli space Partition functions are presented which capture the stability of BPSstates corresponding to two constituents with primitive charges and supported on very ample divisors in a compact CalabiYau These functions are “mock modular invariant” and therefore confirm Sduality Furthermore wallcrossing preserves electricmagnetic duality but is shown to break the “spectral flow” symmetry of the mathcalN=40 CFT which captures the degrees of freedom of a single constituent

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  2. Hausdorff Dimension of Julia Sets of Feigenbaum Polynomials with High Criticality
  3. Exponential Mixing for the 3 D Stochastic Navier–Stokes Equations
  4. Binding of Polarons and Atoms at Threshold
  5. Probabilistic Weyl Laws for Quantized Tori
  6. On Perturbations of the Schwarzschild Anti-De Sitter Spaces of Positive Mass
  7. Wall-Crossing, Free Fermions and Crystal Melting
  8. Standing Ring Blow up Solutions to the N-Dimensional Quintic Nonlinear Schrödinger Equation
  9. Laminar Boundary Layers in Convective Heat Transport
  10. There are no Magnetically Charged Particle-like Solutions of the Einstein Yang-Mills Equations for Models with an Abelian Residual Group
  11. Duality of 2D Gravity as a Local Fourier Duality
  12. Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem with Degenerate Density Dependent Viscosities
  13. Extended Scaling Relations for Planar Lattice Models
  14. Infinite-Dimensional Schur–Weyl Duality and the Coxeter–Laplace Operator
  15. Phase Boundaries in Algebraic Conformal QFT
  16. On the Singularity of the Free Energy at a First Order Phase Transition
  17. Free Analog of Pressure and Its Legendre Transform
  18. Continuity of the Lyapunov Exponents for Quasiperiodic Cocycles
  19. On the Correlation Function of the Characteristic Polynomials of the Hermitian Wigner Ensemble
  20. Stationary Random Metrics on Hierarchical Graphs Via $${(\min,+)}$$-type Recursive Distributional Equations
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  22. Higgs Bundles and ( A , B , A )-Branes
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  26. A Monoidal Category for Perturbed Defects in Conformal Field Theory
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  30. The Operator Product Expansion for Perturbative Quantum Field Theory in Curved Spacetime
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