Coherent state operators, giant gravitons, and gauge-gravity correspondence

TL;DR

This paper develops a generalized coherent state framework to describe giant gravitons and dual giants in gauge-gravity duality, incorporating string states and supermatrix structures for efficient analysis of BPS and near-BPS states.

Contribution

It introduces an enlarged coherent state parameter space with supermatrix packaging, enabling detailed description of various giant graviton configurations and their string interactions.

Findings

Constructed coherent state operators for giant and dual giant gravitons.

Included string states to analyze near-BPS configurations.

Unified multiple classes of operators and discussed reduced and fermionic states.

Abstract

We generalize a construction of coherent state operators describing various giant graviton branes. We enlarge the coherent state parameters, by including complementary coherent state parameters, to describe a system of dual giants and giants. One of the advantages of using complementary coherent state parameters is that they have rich sub-block structures that record different type of giant gravitons or wrapped branes. The coherent state parameters are further packaged into supermatrix, to construct special coherent states, which encode information of both giants and dual giants. We add strings onto the coherent state operators. The string-added states capture near-BPS states. Hence the constructions of BPS coherent state operators are also useful for analyzing near-BPS states. The coherent state representation, auxiliary integrals, as well as auxiliary susy integrals, facilitate the computations efficiently. We describe multi-matrix operators and BPS states, and unify some classes of operators. Finally, reduced coherent states as well as their fermionic counterparts are discussed.