# Fields, Strings, Matrices and Symmetric Products

@inproceedings{Dijkgraaf1999FieldsSM, title={Fields, Strings, Matrices and Symmetric Products}, author={Robbert Dijkgraaf}, year={1999} }

In these notes we review the role played by the quantum mechanics and sigma models of symmetric products in the quantization of quantum field theories, string theory and matrix theory.

## 44 Citations

Matrix string theory on pp-waves

- Physics
- 2002

After a brief review on matrix string theory on flat backgrounds, we formulate matrix string models on different pp-wave backgrounds. This will be done both in the cases of constant and variable RR…

Discrete Torsion and Symmetric Products

- Mathematics
- 1999

In this note we point out that a symmetric product orbifold CFT can be twisted by a unique nontrivial two-cocycle of the permutation group. This discrete torsion changes the spins and statistics of…

The physics and mathematics of microstates in string theory: And a monstrous Farey tail

- Physics
- 2016

A dissertation that delves into physical and mathematical aspects of string theory. In the first part of this work, microscopic properties string theoretic black holes are investigated. The second…

Symmetric products of surfaces; a unifying theme for topology and physics

- Mathematics, Physics
- 2004

This is a review paper about symmetric products of spaces $SP^n(X):= X^n/S_n$. We focus our attention on the symmetric products of 2-manifolds and make a journey through selected topics of algebraic…

Phase transitions in symmetric orbifold CFTs and universality

- Physics
- 2011

Since many thermodynamic properties of black holes are universal, the thermodynamics of their holographic duals should be universal too. We show how this universality is exhibited in the example of…

Little Strings, Quasi-topological Sigma Model on Loop Group, and Toroidal Lie Algebras

- Mathematics
- 2018

Open String on Symmetric Product

- Physics
- 2000

We discuss some basic properties of the open string on the symmetric product which is supposed to describe the open string field theory in discrete light-cone quantization (DLCQ). We first derive the…

Permutation Orbifolds in the large N Limit

- Mathematics
- 2015

The space of permutation orbifolds is a simple landscape of two dimensional CFTs, generalizing the well-known symmetric orbifolds. We consider constraints which a permutation orbifold with large…

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