Single particle operators and their correlators in free = 4 SYM

F Aprile, JM Drummond, P Heslop, H Paul… - Journal of High Energy …, 2020 - Springer
A bstract We consider a set of half-BPS operators in\(\mathcal {N}\)= 4 super Yang-Mills
theory which are appropriate for describing single-particle states of superstring theory on …

The endpoint of partial deconfinement

D Berenstein, K Yan - Journal of High Energy Physics, 2023 - Springer
A bstract We study the matrix quantum mechanics of two free hermitian N× N matrices
subject to a singlet constraint in the microcanonical ensemble. This is the simplest example …

Diagonal free field matrix correlators, global symmetries and giant gravitons

TW Brown, PJ Heslop… - Journal of High Energy …, 2009 - iopscience.iop.org
We obtain a basis of diagonal free field multi-matrix 2-point correlators in a theory with
global symmetry group G. The operators fall into irreducible representations of G. This …

Exact multi-restricted Schur polynomial correlators

R Bhattacharyya, R de Mello Koch… - Journal of High Energy …, 2008 - iopscience.iop.org
We derive a product rule satisfied by restricted Schur polynomials. We focus mostly on the
case that the restricted Schur polynomial is built using two matrices, although our analysis …

A double coset ansatz for integrability in AdS/CFT

R de Mello Koch, S Ramgoolam - Journal of High Energy Physics, 2012 - Springer
A bstract We give a proof that the expected counting of strings attached to giant graviton
branes in AdS 5× S 5, as constrained by the Gauss Law, matches the dimension spanned by …

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

H Lin - Annals of Physics, 2023 - Elsevier
We generalize a construction of coherent state operators describing various giant graviton
branes. We enlarge the coherent state parameters, by including complementary coherent …

Permutation symmetry in large- matrix quantum mechanics and partition algebras

G Barnes, A Padellaro, S Ramgoolam - Physical Review D, 2022 - APS
We describe the implications of permutation symmetry for the state space and dynamics of
quantum mechanical systems of matrices of general size N. We solve the general 11 …

Nonplanar integrability

W Carlson, R de Mello Koch, H Lin - Journal of High Energy Physics, 2011 - Springer
In this article we study operators with a dimension Δ∼ O (N) and show that simple analytic
expressions for the action of the dilatation operator can be found. The operators we consider …

Submatrix deconfinement and small black holes in AdS

D Berenstein - Journal of High Energy Physics, 2018 - Springer
A bstract Large N gauged multi-matrix quantum mechanical models usually have a first
order Hagedorn transition, related to deconfinement. In this transition the change of the …

Counting tensor model observables and branched covers of the 2-sphere

JB Geloun, S Ramgoolam - Annales de l'Institut Henri Poincaré D, 2014 - ems.press
Lattice gauge theories of permutation groups with a simple topological action (henceforth
permutation-TFTs) have recently found several applications in the combinatorics of quantum …