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)

61 - 80 of 95 works

2005

Journal Article

On stochastic evolutions and superconformal field theory

Nagi, Jasbir and Rasmussen, Jorgen (2005). On stochastic evolutions and superconformal field theory. Nuclear Physics B, 704 (3), 475-489. doi: 10.1016/j.nuclphysb.2004.10.003

On stochastic evolutions and superconformal field theory

2004

Journal Article

Logarithmic limits of minimal models

Rasmussen, Jorgen (2004). Logarithmic limits of minimal models. Nuclear Physics B, 701 (3), 516-528. doi: 10.1016/j.nuclphysb.2004.08.047

Logarithmic limits of minimal models

2004

Journal Article

SLE-type growth processes and the Yang-Lee singularity

Lesage, Frédéric and Rasmussen, Jørgen (2004). SLE-type growth processes and the Yang-Lee singularity. Journal of Mathematical Physics, 45 (8), 3040-3048. doi: 10.1063/1.1765747

SLE-type growth processes and the Yang-Lee singularity

2004

Journal Article

Stochastic evolutions in superspace and superconformal field theory

Rasmussen, J. (2004). Stochastic evolutions in superspace and superconformal field theory. Letters in Mathematical Physics, 68 (1), 41-52. doi: 10.1007/s11005-004-5100-y

Stochastic evolutions in superspace and superconformal field theory

2004

Journal Article

On string backgrounds and (logarithmic) CFT

Rasmussen, J. (2004). On string backgrounds and (logarithmic) CFT. African Journal of Mathematical Physics, 1 (2), 171-175.

On string backgrounds and (logarithmic) CFT

2004

Journal Article

Logarithmic lift of the su(2)-1/2 model

Lesage, F., Mathieu, P., Rasmussen, J. and Saleur, H. (2004). Logarithmic lift of the su(2)-1/2 model. Nuclear Physics B, 686 (3), 313-346. doi: 10.1016/j.nuclphysb.2004.02.039

Logarithmic lift of the su(2)-1/2 model

2004

Journal Article

Note on stochastic Löwner evolutions and logarithmic conformal field theory

Rasmussen, J. (2004). Note on stochastic Löwner evolutions and logarithmic conformal field theory. Journal of Statistical Mechanics: Theory and Experiment, 2004 (9), P09007.1-P09007.9. doi: 10.1088/1742-5468/2004/09/P09007

Note on stochastic Löwner evolutions and logarithmic conformal field theory

2003

Journal Article

On N=1 gauge models from geometric engineering in M-theory

Belhaj, A., Drissi, L. B. and Rasmussen, J. (2003). On N=1 gauge models from geometric engineering in M-theory. Classical and Quantum Gravity, 20 (23), 4973-4981. doi: 10.1088/0264-9381/20/23/002

On N=1 gauge models from geometric engineering in M-theory

2003

Journal Article

N-point and higher-genus osp(1∣2) fusion

Rasmussen, J. (2003). N-point and higher-genus osp(1∣2) fusion. Journal of Mathematical Physics, 44 (4), 1868-1881. doi: 10.1063/1.1557913

N-point and higher-genus osp(1∣2) fusion

2002

Journal Article

The su(2)-1/2 WZW model and the βγ system

Lesage, F., Mathieu, P., Rasmussen, J. and Saleur, H. (2002). The su(2)-1/2 WZW model and the βγ system. Nuclear Physics B, 647 (3), 363-403. doi: 10.1016/S0550-3213(02)00905-7

The su(2)-1/2 WZW model and the βγ system

2002

Journal Article

The (su)over-cap (2)-1/2 WZW model and the beta gamma system

Lesage, F, Mathieu, P, Rasmussen, J and Saleur, H (2002). The (su)over-cap (2)-1/2 WZW model and the beta gamma system. Nuclear Physics B, 647 (3), 363-403. doi: 10.1016/S0550-3213(02)00905-7

The (su)over-cap (2)-1/2 WZW model and the beta gamma system

2002

Journal Article

Higher-genus su(N) fusion multiplicities as polytope volumes

Flynn, G., Rasmussen, J., Tahic, M. and Walton, M. A. (2002). Higher-genus su(N) fusion multiplicities as polytope volumes. Journal of Physics A: Mathematical and General, 35 (47), 10129-10147. doi: 10.1088/0305-4470/35/47/312

Higher-genus su(N) fusion multiplicities as polytope volumes

2002

Journal Article

Maximally symmetric D-branes in gauged WZW models

Kubota, T., Rasmussen, J., Walton, M. A. and Zhou, H. G. (2002). Maximally symmetric D-branes in gauged WZW models. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 544 (1-2), 192-198. doi: 10.1016/S0370-2693(02)02501-7

Maximally symmetric D-branes in gauged WZW models

2002

Journal Article

Affine su(3) and su(4) fusion multiplicities as polytope volumes

Rasmussen, Jorgen and Walton, Mark A. (2002). Affine su(3) and su(4) fusion multiplicities as polytope volumes. Journal of Physics A: Mathematical and General, 35 (32) 313, 6939-6952. doi: 10.1088/0305-4470/35/32/313

Affine su(3) and su(4) fusion multiplicities as polytope volumes

2002

Journal Article

Purely affine elementary su(N) fusions

Rasmussen, J. and Walton, M. A. (2002). Purely affine elementary su(N) fusions. Modern Physics Letters A, 17 (19), 1249-1258. doi: 10.1142/S0217732302007338

Purely affine elementary su(N) fusions

2002

Journal Article

A non-reductive N = 4 superconformal algebra

Rasmussen, J. (2002). A non-reductive N = 4 superconformal algebra. Journal of Physics A: Mathematical and General, 35 (8), 2037-2044. doi: 10.1088/0305-4470/35/8/316

A non-reductive N = 4 superconformal algebra

2002

Journal Article

Fusion multiplicities as polytope volumes: N-point and higher-genus su(2) fusion

Rasmussen, Jorgen and Walton, Mark A. (2002). Fusion multiplicities as polytope volumes: N-point and higher-genus su(2) fusion. Nuclear Physics B, 620 (3), 537-550. doi: 10.1016/S0550-3213(01)00543-0

Fusion multiplicities as polytope volumes: N-point and higher-genus su(2) fusion

2001

Journal Article

su(N) tensor product multiplicities and virtual Berenstein-Zelevinsky triangles

Rasmussen, J. and Walton, M. A. (2001). su(N) tensor product multiplicities and virtual Berenstein-Zelevinsky triangles. Journal of Physics A: Mathematical and Theoretical, 34 (49), 11095-11105. doi: 10.1088/0305-4470/34/49/324

su(N) tensor product multiplicities and virtual Berenstein-Zelevinsky triangles

2001

Journal Article

On the level-dependence of Wess-Zumino-Witten three-point functions

Rasmussen, Jorgen and Walton, Mark A. (2001). On the level-dependence of Wess-Zumino-Witten three-point functions. Nuclear Physics B, 616 (3), 517-536. doi: 10.1016/S0550-3213(01)00337-6

On the level-dependence of Wess-Zumino-Witten three-point functions

2001

Journal Article

Higher su(N) tensor products

Rasmussen, J. and Walton, M. A. (2001). Higher su(N) tensor products. Journal of Physics A: Mathematical and Theoretical, 34 (37), 7685-7699. doi: 10.1088/0305-4470/34/37/318

Higher su(N) tensor products

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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