Nonperturbative gadget for topological quantum codes.

Linking Topological Quantum Eld Theory and Nonperturbative Quantum Gravity

Constacyclic Codes over Group Ring (Zq[v])/G

Recently, codes over some special finite rings especially chain rings have been studied. More recently, codes over finite non-chain rings have been also considered. Study on codes over such rings or rings in general is motivated by the existence of some special maps called Gray maps whose images give codes over fields. Quantum error-correcting (QEC) codes play a crucial role in protecting quantum ...

Qcd Glueball Sum Rules and Vacuum Topology

Several key problems of QCD sum rules in the spin-0 glueball channels are resolved by implementing nonperturbative short-distance physics from direct instantons and topological charge screening. A lattice-based instanton size distribution and the IR renormalization of the nonperturbative Wilson coefficients are also introduced. Results of a comprehensive quantitative sum rule analysis are revie...

Nonperturbative Effects and the Large–Order Behavior of Matrix Models and Topological Strings

This work addresses nonperturbative effects in both matrix models and topological strings, and their relation with the large–order behavior of the 1/N expansion. We study instanton configurations in generic one–cut matrix models, obtaining explicit results for the one–instanton amplitude at both one and two loops. The holographic description of topological strings in terms of matrix models impl...

Non-perturbative Quantum Theories and Integrable Equations

I review the appearance of classical integrable systems as an effective tool for the description of nonperturbative exact results in quantum string and gauge theories. Various aspects of this relation: spectral curves, action-angle variables, Whitham deformations and associativity equations are considered separately demonstrating hidden parallels between topological 2d string theories and naive...