47 citations · 146 across the 14 of their papers we have counts for
14 papers
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…
Lazy Open Quantum Walks
Garreth Kemp, Ilya Sinayskiy, Francesco Petruccione
Open quantum walks (OQWs) describe a quantum walker on an underlying graph whose dynamics is purely driven by dissipation and decoherence. Mathematically, they are formulated as co…
Matrices, Fermi Operators and Applications
Yorick Hardy, Willi-Hans Steeb, Garreth Kemp
We consider the vector space of matrices over , Fermi operators and operators constructed from these matrices and Fermi operators. The properties of these o…
Pauli Lubanski Vector Operator, Eigenvalue Problem and Entanglement
Garreth Kemp, Willi-Hans Steeb
We study an eigenvalue problem for a spin matrix arising in the Pauli Lubanski vector operator. Entanglement of the eigenvectors and its connection with degeneracy is discussed.
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…
Bose Operators, Coherent States, Truncation, Spin Coherent States, Lie Algebras and Spectrum
Willi-Hans Steeb, Garreth Kemp, Yorick Hardy +1
We study truncated Bose operators in finite dimensional Hilbert spaces. Spin coherent states for the truncated Bose operators and canonical coherent states for Bose operators are c…
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…