Professor Jorgen Rasmussen
Professor

Jorgen Rasmussen

Email: 
Phone: 
+61 7 336 58506

Availability

Professor Jorgen Rasmussen is:
Available for supervision

Fields of research

Algebra and number theory Algebraic structures in mathematical physics Integrable systems (classical and quantum) Mathematical Sciences Mathematical aspects of quantum and conformal field theory, quantum gravity and string theory Mathematical physics Pure mathematics Statistical mechanics, physical combinatorics and mathematical aspects of condensed matter

Qualifications

  • Doctor of Philosophy, University of Copenhagen

Research interests

  • Mathematical physics

  • Conformal field theory

  • Representation theory

  • Integrable systems

  • Diagram and planar algebras

Search Professor Jorgen Rasmussen’s works on UQ eSpace

95 works between 1995 and 2023
All (95) Journal Article (94) Conference Publication (1)

1 - 20 of 95 works

2023

Journal Article

Integrable models from singly generated planar algebras

Poncini, Xavier and Rasmussen, Jørgen (2023). Integrable models from singly generated planar algebras. Nuclear Physics B, 994 116308, 116308. doi: 10.1016/j.nuclphysb.2023.116308

Integrable models from singly generated planar algebras

2023

Journal Article

Integrability of planar-algebraic models

Poncini, Xavier and Rasmussen, Jørgen (2023). Integrability of planar-algebraic models. Journal of Statistical Mechanics: Theory and Experiment, 2023 (7) 073101. doi: 10.1088/1742-5468/acdce7

Integrability of planar-algebraic models

2022

Journal Article

Asymmetric Galilean conformal algebras

Ragoucy, Eric, Rasmussen, Jørgen and Raymond, Christopher (2022). Asymmetric Galilean conformal algebras. Nuclear Physics B, 981 115857. doi: 10.1016/j.nuclphysb.2022.115857

Asymmetric Galilean conformal algebras

2022

Journal Article

Publisher’s note: “demazure formula for An weyl polytope sums”

Rasmussen, Jørgen and Walton, Mark A. (2022). Publisher’s note: “demazure formula for An weyl polytope sums”. Journal of Mathematical Physics, 63 (4) 049902, 049902. doi: 10.1063/5.0094183

Publisher’s note: “demazure formula for An weyl polytope sums”

2021

Journal Article

Critical behaviour of loop models on causal triangulations

Durhuus, Bergfinnur, Poncini, Xavier, Rasmussen, Jørgen and Ünel, Meltem (2021). Critical behaviour of loop models on causal triangulations. Journal of Statistical Mechanics: Theory and Experiment, 2021 (11) 113102, 113102. doi: 10.1088/1742-5468/ac2dfa

Critical behaviour of loop models on causal triangulations

2021

Journal Article

Demazure formula for An Weyl polytope sums

Rasmussen, Jørgen and Walton, Mark A. (2021). Demazure formula for An Weyl polytope sums. Journal of Mathematical Physics, 62 (10) 101702, 101702. doi: 10.1063/5.0058465

Demazure formula for An Weyl polytope sums

2021

Journal Article

Staggered modules of N = 2 superconformal minimal models

Raymond, Christopher, Ridout, David and Rasmussen, Jørgen (2021). Staggered modules of N = 2 superconformal minimal models. Nuclear Physics B, 967 115397, 115397. doi: 10.1016/j.nuclphysb.2021.115397

Staggered modules of N = 2 superconformal minimal models

2020

Journal Article

Multi-graded Galilean conformal algebras

Ragoucy, Eric, Rasmussen, Jørgen and Raymond, Christopher (2020). Multi-graded Galilean conformal algebras. Nuclear Physics B, 957 115092, 115092. doi: 10.1016/j.nuclphysb.2020.115092

Multi-graded Galilean conformal algebras

2020

Journal Article

Yang-Baxter integrable dimers on a strip

Pearce, Paul A., Rasmussen, Jorgen and Vittorini-Orgeas, Alessandra (2020). Yang-Baxter integrable dimers on a strip. Journal of Statistical Mechanics: Theory and Experiment, 2020 (1) 013107. doi: 10.1088/1742-5468/ab54bd

Yang-Baxter integrable dimers on a strip

2020

Journal Article

Staggered and affine Kac modules over A1 (1)

Rasmussen, Jørgen (2020). Staggered and affine Kac modules over A1 (1). Nuclear Physics B, 950 114865, 114865. doi: 10.1016/j.nuclphysb.2019.114865

Staggered and affine Kac modules over A1 (1)

2019

Journal Article

Higher-order Galilean contractions

Rasmussen, Jørgen and Raymond, Christopher (2019). Higher-order Galilean contractions. Nuclear Physics B, 945 114680, 114680. doi: 10.1016/j.nuclphysb.2019.114680

Higher-order Galilean contractions

2019

Journal Article

Fusion hierarchies, T-systems and Y-systems for the A2(1) models

Morin-Duchesne, Alexi, Pearce, Paul A. and Rasmussen, Jørgen (2019). Fusion hierarchies, T-systems and Y-systems for the A2(1) models. Journal of Statistical Mechanics: Theory and Experiment, 2019 (1) 013101, 013101. doi: 10.1088/1742-5468/aaf632

Fusion hierarchies, T-systems and Y-systems for the A2(1) models

2017

Journal Article

Galilean contractions of W-algebras

Rasmussen, Jorgen and Raymond, Christopher (2017). Galilean contractions of W-algebras. Nuclear Physics B, 922, 435-479. doi: 10.1016/j.nuclphysb.2017.07.006

Galilean contractions of W-algebras

2016

Journal Article

On the reality of spectra of Uq(sl2)-invariant XXZ Hamiltonians

Morin-Duchesne, Alexi, Rasmussen, Jorgen, Ruelle, Philippe and Saint-Aubin, Yvan (2016). On the reality of spectra of Uq(sl2)-invariant XXZ Hamiltonians. Journal of Statistical Mechanics: Theory and Experiment, 2016 (5) 053105, 053105. doi: 10.1088/1742-5468/2016/05/053105

On the reality of spectra of Uq(sl2)-invariant XXZ Hamiltonians

2016

Journal Article

Integrability and conformal data of the dimer model

Morin-Duchesne, Alexi, Rasmussen, Jorgen and Ruelle, Philippe (2016). Integrability and conformal data of the dimer model. Journal of Physics A: Mathematical and Theoretical, 49 (17) 174002, 1-57. doi: 10.1088/1751-8113/49/17/174002

Integrability and conformal data of the dimer model

2015

Journal Article

Fusion rules for the logarithmic N=1 superconformal minimal models: I. The Neveu-Schwarz sector

Canagasabey, Michael, Rasmussen, Jorgen and Ridout, David (2015). Fusion rules for the logarithmic N=1 superconformal minimal models: I. The Neveu-Schwarz sector. Journal of Physics A: Mathematical and Theoretical, 48 (41) 415402, 1-49. doi: 10.1088/1751-8113/48/41/415402

Fusion rules for the logarithmic N=1 superconformal minimal models: I. The Neveu-Schwarz sector

2015

Journal Article

Boundary algebras and Kac modules for logarithmic minimal models

Morin-Duchesne, Alex., Rasmussen, Jorgen. and Ridout, David. (2015). Boundary algebras and Kac modules for logarithmic minimal models. Nuclear Physics B, 899, 677-769. doi: 10.1016/j.nuclphysb.2015.08.017

Boundary algebras and Kac modules for logarithmic minimal models

2015

Journal Article

Dimer representations of the Temperley-Lieb algebra

Morin-Duchesne, Alexi, Rasmussen, Jorgen and Ruelle, Philippe (2015). Dimer representations of the Temperley-Lieb algebra. Nuclear Physics B, 890, 363-387. doi: 10.1016/j.nuclphysb.2014.11.016

Dimer representations of the Temperley-Lieb algebra

2014

Journal Article

Critical dense polymers with Robin boundary conditions, half-integer Kac labels and Z4 fermions

Pearce, Paul A., Rasmussen, Jorgen and Tipunin, Ilya Yu (2014). Critical dense polymers with Robin boundary conditions, half-integer Kac labels and Z4 fermions. Nuclear Physics B, 889, 580-636. doi: 10.1016/j.nuclphysb.2014.10.022

Critical dense polymers with Robin boundary conditions, half-integer Kac labels and Z4 fermions

2014

Journal Article

Fusion hierarchies, T-systems and Y-systems of logarithmic minimal models

Morin-Duchesne, Alexi, Pearce, Paul A. and Rasmussen, Jørgen (2014). Fusion hierarchies, T-systems and Y-systems of logarithmic minimal models. Journal of Statistical Mechanics: Theory and Experiment, 2014 (5) P05012, P05012.1-P05012.88. doi: 10.1088/1742-5468/2014/05/P05012

Fusion hierarchies, T-systems and Y-systems of logarithmic minimal models

Past funding

  • 2021 - 2024
    Towards logarithmic representation theory of W-algebras
    ARC Discovery Projects
    Open grant
  • 2016 - 2020
    Indecomposable representation theory
    ARC Discovery Projects
    Open grant
  • 2012 - 2015
    Representation theory of diagram algebras and logarithmic conformal field theory
    ARC Future Fellowships
    Open grant

Availability

Professor Jorgen Rasmussen is:
Available for supervision

Before you email them, read our advice on how to contact a supervisor.

Available projects

  • Representation theory of infinite-dimensional Lie algebras

    Conformal field theory plays a fundamental role in string theory and in the description of phase transitions in statistical mechanics. The basic symmetries of a conformal field theory are generated by infinite-dimensional Lie algebras including the Virasoro algebra. The representation theory of these algebras is a vast and very active area of research in pure mathematics and mathematical physics. Although reducible yet indecomposable representations are of great importance in logarithmic conformal field theory, relatively little is known about them. This project will examine such representations of the Virasoro algebra, of the affine Kac-Moody algebras and of certain classes of so-called W-algebras.

  • Diagram algebras and integrable lattice models

    Diagram algebras offer an intriguing mathematical environment where computations are performed by diagrammatic manipulations. Applications include knot theory and lattice models in statistical mechanics. Important examples of diagram algebras are the Temperley-Lieb algebras which can be used to describe lattice loop models of a large class of two-dimensional physical systems with nonlocal degrees of freedom in terms of extended polymers or connectivities. This project seeks to develop the representation theory of some of these diagram algebras and to apply the results to the corresponding integrable lattice loop models.

  • Lie superalgebras

    Lie algebras, Lie groups, and their representation theories are instrumental in our description of symmetries in physics and elsewhere. They also occupy a central place in pure mathematics where they often provide a bridge between different mathematical structures. Motivated in part by the proposed fundamental role played by supersymmetry in theoretical physics, Lie superalgebras have been introduced as the corresponding generalisations of Lie algebras. The aim of this project is to study Lie superalgebras, their rich representation theory, and some of their applications.

  • Braid groups

    The mathematical notion of a braid was introduced in the formalisation of objects that model the intertwining of strings in three dimensions. The act of braiding strings is thus described by operators that can be composed to form algebraic structures known as braid groups. These groups naturally play an important role in knot theory and low-dimensional topology, but also in representation theory and mathematical physics. This project concerns the algebraic properties of braid groups, their quotients and generalisations thereof, the associated representation theories, and applications to Yang-Baxter integrable systems where the so-called Temperley-Lieb and BMW algebras are of particular interest.

  • Discrete holomorphicity

    Lattice models are key tools in the analysis of a large class of physical systems in statistical mechanics. The inessential artefacts of the lattice are washed out in the continuum scaling limit. In this limit, many so-called critical lattice models in two dimensions are widely believed to be conformally invariant and admit holomorphic observables. However, this has only been established rigorously in very few cases. A key ingredient in these proofs is the introduction of lattice observables satisfying a discrete form of holomorphicity. This project aims to explore and extend recent breakthroughs on these matters. In a variety of lattice models, it will be examined how discrete complex analysis can be used to understand the emergence of holomorphic observables and how the existence of discrete holomorphicity is related to the notion of Yang-Baxter integrability of the lattice models.

Supervision history

Current supervision

Completed supervision

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