47 citations · 146 across the 14 of their papers we have counts for
10 papers · 1 filter
Gauge-string duality, monomial bases and graph determinants
Garreth Kemp, Sanjaye Ramgoolam
Questions at the intersection of the AdS/CFT correspondence and quantum information theory motivate the study of projectors in sequences of subalgebras of finite-dimensional commut…
A generalized dominance ordering for 1/2-BPS states
Garreth Kemp
We discuss a generalized dominance ordering for irreducible representations of the symmetric group with the aim of distinguishing the corresponding states in the 1/2-BPS se…
Holography of Information in AdS/CFT
Robert de Mello Koch, Garreth Kemp
The principle of the holography of information states that in a theory of quantum gravity a copy of all the information available on a Cauchy slice is also available near the bound…
Integrality, Duality and Finiteness in Combinatoric Topological Strings
Robert de Mello Koch, Yang-Hui He, Garreth Kemp +1
A remarkable result at the intersection of number theory and group theory states that the order of a finite group (denoted ) is divisible by the dimension of any irr…
BPS states, conserved charges and centres of symmetric group algebras
Garreth Kemp, Sanjaye Ramgoolam
In SYM with gauge symmetry, the multiplicity of half-BPS states with fixed dimension can be labelled by Young diagrams and can be distinguished using conserv…
Counting paths with Schur transitions
Pablo Diaz, Garreth Kemp, Alvaro Veliz-Osorio
In this work we explore the structure of the branching graph of the unitary group using Schur transitions. We find that these transitions suggest a new combinatorial expression for…
Restricted Schurs and correlators for SO(N) and Sp(N)
Garreth Kemp
In a recent work, restricted Schur polynomials have been argued to form a complete orthogonal set of gauge invariant operators for the 1/4-BPS sector of free N = 4 super Yang-Mills…
SO(N) restricted Schur polynomials
Garreth Kemp
We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT dual in the form of type IIB string theory with AdS_5 X RP^5 ge…
Nonplanar integrability at two loops
Robert de Mello Koch, Garreth Kemp, Badr Awad Elseid Mohammed +1
In this article we compute the action of the two loop dilatation operator on restricted Schur polynomials that belong to the su(2) sector, in the displaced corners approximation. I…
From Large N Nonplanar Anomalous Dimensions to Open Spring Theory
Robert de Mello Koch, Garreth Kemp, Stephanie Smith
In this note we compute the non-planar one loop anomalous dimension of restricted Schur polynomials that have a bare dimension of O(N). This is achieved by mapping the restricted S…