# Browsing by Author "Stern, M"

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Item Open Access Counting Yang-Mills Dyons with Index Theorems(Phys.Rev. D, 2017-06-01) Stern, M; Yi, PWe 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 Higgs fields are turned on. The number of purely magnetic bound states is again found to be consistent with the electromagnetic duality of the N=4 SU(n) theory, as expected. We also count dyons of generic electric charges, which correspond to 1/4 BPS dyons in N=4 theories and 1/2 BPS dyons in N=2 theories. Surprisingly, the degeneracy of dyons is typically much larger than would be accounted for by a single supermultiplet of appropriate angular momentum, implying many supermutiplets of the same charge and the same mass.Item Open Access Geometry of the Smallest 1-form Laplacian Eigenvalue on Hyperbolic Manifolds(Geometric and Functional Analysis, 2018-12-01) Lipnowski, M; Stern, MWe relate small 1-form Laplacian eigenvalues to relative cycle complexity on closed hyperbolic manifolds: small eigenvalues correspond to closed geodesics no multiple of which bounds a surface of small genus. We describe potential applications of this equivalence principle toward proving optimal torsion homology growth in families of hyperbolic 3-manifolds Benjamini–Schramm converging to H3.Item Open Access Invariance Theorems for Supersymmetric Yang-Mills Theories(Adv.Theor.Math.Phys., 2017-06-01) Sethi, S; Stern, MWe 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 symmetry. This includes, as a special case, all bound states of D0-branes and D4-branes. As a consequence, all bound states of D0-branes are invariant under the $Spin(9)$ flavor symmetry. When combined with index results, this implies that the bound state of two D0-branes is unique.Item Open Access Monopole and dyon bound states in N = 2 supersymmetric Yang-Mills theories(Nuclear Physics, Section B, 1995-12-25) Sethi, S; Stern, M; Zaslow, EWe 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 space of BPS solutions. Using an L2 index theorem, we prove the existence of certain BPS states predicted by Seiberg and Witten based on their study of the vacuum structure of N = 2 Yang-Mills theories. © 1995.