149 citations · 1.5k across the 72 of their papers we have counts for
74 papers
Fortuitous BMN Cohomology at Every
Robert de Mello Koch, Minkyoo Kim, Sinong Liu
Finite- trace relations can produce -cohomology classes with no stable large- ancestor. The brane-fused construction at suggests that such states can retain an $SU…
The Hagedorn transition as a Plancherel wall: Tracy-Widom statistics, Polyakov loops and partial deconfinement
Robert de Mello Koch, Minkyoo Kim, Hyunwoo Oh
We study the Hagedorn transition of the single-winding Dutta-Gopakumar unitary matrix model at finite rank . Its Schur expansion is a sum of Plancherel probabilities restricted…
Hironaka Geometry and Resurgence in Finite- Matrix Models
Robert de Mello Koch, Vinayak Raj, Anik Rudra
We study how finite- invariant theory organizes the non-perturbative structure of matrix models. For a model of four traceless Hermitian matrices, the Hironaka decom…
A pedagogical introduction to invariant theory and finite- holography
Robert de Mello Koch, Minkyoo Kim, Augustine Larweh Mahu +1
These lectures provide a pedagogical introduction to the study of finite- physics of the AdS/CFT correspondence. More specifically we develop the consequences of the trace relat…
Overcrowding and the Finite- Hilbert Space
Robert de Mello Koch, Anik Rudra, Augustine Larweh Mahu
Finite- trace relations reorganize the Hilbert space of gauge-invariant operators beyond the freely generated large- description. We study this structure using the Hironaka d…
Finite- Operator Algebras and the Hilbert Space of Bilocal Holography
Byoungjoon Ahn, Robert de Mello Koch, Vatsal Garg +2
We give an operator-algebraic and representation-theoretic description of the Hilbert spaces of finite- bilocal holography. This work is a sequel to the finite- Hilbert space…
Finite Hilbert Spaces of Bilocal Holography
Robert de Mello Koch, Antal Jevicki, Junggi Yoon
For vector/AdS and dS holography we establish the structure of the emergent Hilbert space. This is done through implementation of finite trace relations on the infinite collect…
Massive fields in AdS from Constructive Holography
Robert de Mello Koch, Pratik Roy, Hendrik J. R. Van Zyl
Collective field theory offers a constructive framework for exploring the AdS/CFT duality. In this article, we focus on constructing rotations within the light-front quantized coll…
Constructive Holography
Robert de Mello Koch, Hendrik J. R. Van Zyl
We consider the collective field theory description of the singlet sector of a free and massless matrix field in dimensions. The -local collective fields are functions of $(…
Holography of a single free matrix
Robert de Mello Koch, Pratik Roy, Hendrik J. R. Van Zyl
In this paper we consider the collective field theory description of a single free massless scalar matrix theory in 2+1 dimensions. The collective fields are given by -local ope…
Bilocal holography and locality in the bulk
Robert de Mello Koch, Garreth Kemp, Hendrik J. R. Van Zyl
Bilocal holography provides a constructive approach to the vector model/higher spin gravity duality. It has two ingredients: a change of field variables and a change of space time…
Topological rejection of noise by quantum skyrmions
Pedro Ornelas, Isaac Nape, Robert De Mello Koch +1
An open challenge in the context of quantum information processing and communication is improving the robustness of quantum information to environmental contributions of noise, a s…
Gravitational dynamics from collective field theory
Robert de Mello Koch
We consider the relevance of a collective field theory description for the AdS/CFT correspondence. Collective field theory performs a systematic reorganization of the degrees of fr…
Microscopic Entanglement Wedges
Robert de Mello Koch
We study the holographic duality between the free vector model and higher spin gravity. Conserved spinning primary currents of the conformal field theory (CFT) are dual to s…
Generating Functions for Giant Graviton Bound States
Warren Carlson, Robert de Mello Koch, Minkyoo Kim
We construct generating functions for operators dual to systems of giant gravitons with open strings attached. These operators have a bare dimension of order so that the usual…
SYM, (super)-polynomial rings and emergent quantum mechanical symmetries
Robert de Mello Koch, Sanjaye Ramgoolam
The structure of half-BPS representations of psu leads to the definition of a super-polynomial ring which admits a realisation of psu in terms…
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…
Non-local Skyrmions as topologically resilient quantum entangled states of light
Pedro Ornelas, Isaac Nape, Robert de Mello Koch +1
In the early 1960s, inspired by developing notions of topological structure, Tony Skyrme suggested that sub-atomic particles be described as natural excitations of a single quantum…
Complexity from Spinning Primaries
Robert de Mello Koch, Minkyoo Kim, Hendrik J. R. Van Zyl
We define circuits given by unitary representations of Lorentzian conformal field theory in 3 and 4 dimensions. Our circuits start from a spinning primary state, allowing us to gen…
Large N Optimization for multi-matrix systems
Robert de Mello Koch, Antal Jevicki, Xianlong Liu +2
In this work we revisit the problem of solving multi-matrix systems through numerical large methods. The framework is a collective, loop space representation which provides a c…
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…
Quantum Error Correction and Holographic Information from Bilocal Holography
Robert de Mello Koch, Eunice Gandote, Nirina Hasina Tahiridimbisoa +1
Bilocal holography is a constructive approach to the higher spin theory holographically dual to vector models. In contrast to other approaches to bulk reconstruction, biloca…
Free field primaries in general dimensions: Counting and construction with rings and modules
Robert de Mello Koch, Sanjaye Ramgoolam
We define lowest weight polynomials (LWPs), motivated by representation theory, as elements of the polynomial ring over variables obeying a system of first…
Integrable Subsectors from Holography
Robert de Mello Koch, Minkyoo Kim, Hendrik J. R. Van Zyl
We consider operators in super Yang-Mills theory dual to closed string states propagating on a class of LLM geometries. The LLM geometries we consider are specified by…