Now showing items 1-5 of 5

• #### A nontrivial critical fixed point for replica-symmetry-breaking transitions ﻿

(2017-04-01)
The transformation of the free-energy landscape from smooth to hierarchical is one of the richest features of mean-field disordered systems. A well-studied example is the de Almeida-Thouless transition for spin glasses in ...
• #### Counting Yang-Mills Dyons with Index Theorems ﻿

(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 ...
• #### From vortices to instantons on the Euclidean Schwarzschild manifold ﻿

(2018-01-18)
The first irreducible solution of the $\SU (2)$ self-duality equations on the Euclidean Schwarzschild (ES) manifold was found by Charap and Duff in 1977, only 2 years later than the famous BPST instantons on $\rl^4$ were ...
• #### Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials ﻿

We sketch a construction of Legendrian Symplectic Field Theory (SFT) for conormal tori of knots and links. Using large $N$ duality and Witten's connection between open Gromov-Witten invariants and Chern-Simons gauge theory, we ...
• #### Invariance Theorems for Supersymmetric Yang-Mills Theories ﻿

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 ...