We compute the contribution of discrete Coulomb vacua to A-Model correlators in toric Gauged Linear Sigma Models. For models corresponding to a compact variety, this determines the correlators at arbitrary genus. For non-compact examples, our results imply the surprising conclusion that the quantum cohomology relations break down for a subset of the correlators.

We investigate boundary conditions for the nonlinear sigma model on the compact symmetric space G/H. The Poisson brackets and the classical local conserved charges necessary for integrability are preserved by boundary conditions which correspond to involutions which commute with the involution definingH. Applied to SO(3)/SO(2), the nonlinear sigma model on S2, these yield the great circles as b...

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The folding ability of a heteropolymer model for proteins subject to Monte Carlo dynamics on a simple cubic lattice is shown to be strongly correlated with the stability of the native state. We consider a number of estimates of the stability that can be determined without simulation, including the energy gap between the native state and the structurally dissimilar part of the spectrum (Z score)...

In this paper we investigate the relationship between properties of a compact set $\sigma \subseteq \mathbb{C}$ and structure space $BV(\sigma)$ functions bounded variation (in sense Ashton Doust) defined on $\sigma$. For subalgebras absolutely continuous $\sigma$, it is known that for certain classes sets one obtains Gelfand--Kolmogorov type result: function spaces $AC(\sigma_1)$ $AC(\sigma_2)...

— Non-linear sigma models that arise from the supersymmetric approach to disordered electron systems contain a non-compact bosonic sector. We study the model with target space H2, the two-hyperboloid with isometry group SU(1,1), and prove that in three dimensions moments of the fields are finite in the thermodynamic limit. Thus the non-compact symmetry SU(1,1) is spontaneously broken. The bound...