2007•Birkhäuser Basel eBooksRequires access

Topological Quantum Field Theory as Topological Quantum Gravity

Kishore Marathe

Abstract

We discuss a special case of the gauge theory to string theory correspondence in the Euclidean version of the theories, where exact results are available. We show how the Witten-Reshetikhin-Turaev invariant in SU(n) Chern-Simons theory on S 3 is related via conifold transition to the all-genus generating function of the topological string amplitudes on a Calabi-Yau manifold. This result can be thought of as an interpretation of TQFT (Topological Quantum Field Theory) as TQG (Topological Quantum Gravity).

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Topological quantum field theory, Topological string theory, Conifold, Topological entropy in physics, Symmetry protected topological order, Topological quantum number, Quantum gravity, Topological order