Now showing items 1-5 of 5

    • Counting Yang-Mills Dyons with Index Theorems 

      Stern, Mark A; Yi, P (Phys.Rev. D, 2017-06-01)
      We count the supersymmetric bound states of many distinct BPS monopoles in N=4 Yang-Mills theories and in pure N=2 Yang-Mills theories. The novelty here is that we work in generic Coulombic vacua where more than one adjoint ...
    • Invariance Theorems for Supersymmetric Yang-Mills Theories 

      Sethi, S; Stern, Mark A (Adv.Theor.Math.Phys., 2017-06-01)
      We consider quantum mechanical Yang-Mills theories with eight supercharges and a $Spin(5) \times SU(2)_R$ flavor symmetry. We show that all normalizable ground states in these gauge theories are invariant under this flavor ...
    • Monopole and dyon bound states in N = 2 supersymmetric Yang-Mills theories 

      Sethi, S; Stern, Mark A; Zaslow, E (Nuclear Physics, Section B, 1995-12-25)
      We study the existence of monopole bound states saturating the BPS bound in N = 2 supersymmetric Yang-Mills theories. We describe how the existence of such bound states relates to the topology of index bundles over the moduli ...
    • Nonlinear Harmonic Forms and an Indefinite Bochner Formula 

      Stern, Mark A (2017-06-01)
      We introduce the study of nonlinear harmonic forms. These are forms which minimize the $L_2$ energy in a cohomology class subject to a nonlinear constraint. In this note, we include only motivations and the most basic existence ...
    • Price Inequalities and Betti Number Growth on Manifolds without Conjugate Points 

      Cerbo, LFD; Stern, Mark A (2017-06-01)
      We derive Price inequalities for harmonic forms on manifolds without conjugate points and with a negative Ricci upper bound. The techniques employed in the proof work particularly well for manifolds of non-positive sectional ...