Browsing by Subject "hep-th"
Now showing items 1-11 of 11
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A (0,2) mirror duality
We construct a class of exactly solved (0,2) heterotic compactifications, similar to the (2,2) models constructed by Gepner. We identify these as special points in moduli spaces containing geometric limits described ... -
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 ... -
Coarse-graining quivers
We describe a block-spin-like transformation on a simplified subset of the space of supersymmetric quiver gauge theories that arise on the worldvolumes of D-brane probes of orbifold geometries, by sequentially Higgsing the ... -
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 ... -
Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem
(Journal of Differential Geometry, 2019-12-06)We study finite action anti-self-dual Yang-Mills connections on the multi-Taub-NUT space. We establish the curvature and the harmonic spinors decay rates and compute the index of the associated Dirac operator. This is ... -
Instantons on multi-Taub-NUT Spaces II: Bow Construction
Unitary anti-self-dual connections on Asymptotically Locally Flat (ALF) hyperk\"ahler spaces are constructed in terms of data organized in a bow. Bows generalize quivers, and the relevant bow gives rise to the underlying ... -
Invariance Theorems for Supersymmetric Yang-Mills Theories
(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 ... -
Mirror Symmetry and Discriminants
We analyze the locus, together with multiplicities, of "bad" conformal field theories in the compactified moduli space of N=(2,2) superconformal field theories in the context of the generalization of the Batyrev ... -
New G<inf>2</inf>-holonomy cones and exotic nearly Kahler structures on S6 and S3 x S3
(Annals of Mathematics, 2017-01-01)© 2017 Department of Mathematics, Princeton University. There is a rich theory of so-called (strict) nearly Kahler manifolds, almost-Hermitian manifolds generalising the famous almost complex structure on the 6-sphere induced ...