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)

81 - 95 of 95 works

2001

Journal Article

Fusion in coset CFT from admissible singular-vector decoupling

Mathieu, P., Rasmussen, J. and Walton, M. A. (2001). Fusion in coset CFT from admissible singular-vector decoupling. Nuclear Physics B, 595 (3), 587-604. doi: 10.1016/S0550-3213(00)00674-X

Fusion in coset CFT from admissible singular-vector decoupling

2001

Journal Article

Comments on N = 4 superconformal algebras

Rasmussen, Jorgen (2001). Comments on N = 4 superconformal algebras. Nuclear Physics B, 593 (3), 634-650. doi: 10.1016/S0550-3213(00)00637-4

Comments on N = 4 superconformal algebras

2000

Journal Article

Constructing classical and quantum superconformal algebras on the boundary of AdS3

Rasmussen, Jorgen (2000). Constructing classical and quantum superconformal algebras on the boundary of AdS3. Nuclear Physics B, 582 (1-3), 649-674. doi: 10.1016/S0550-3213(00)00322-9

Constructing classical and quantum superconformal algebras on the boundary of AdS3

2000

Journal Article

Negative screenings in conformal field theory and 2D gravity: the braiding matrix

Rasmussen, J. and Schnittger, J. (2000). Negative screenings in conformal field theory and 2D gravity: the braiding matrix. Nuclear Physics B, 574 (1-2), 525-550. doi: 10.1016/S0550-3213(99)00799-3

Negative screenings in conformal field theory and 2D gravity: the braiding matrix

1999

Journal Article

Three-point functions in conformal field theory with affine Lie group symmetry

Rasmussen, J. (1999). Three-point functions in conformal field theory with affine Lie group symmetry. International Journal of Modern Physics A, 14 (8), 1225-1259. doi: 10.1142/S0217751X99000634

Three-point functions in conformal field theory with affine Lie group symmetry

1998

Journal Article

Explicit decompositions of Weyl reflections in affine Lie algebras

Rasmussen, Jørgen (1998). Explicit decompositions of Weyl reflections in affine Lie algebras. Nuclear Physics B, 518 (3), 632-644. doi: 10.1016/S0550-3213(98)00092-3

Explicit decompositions of Weyl reflections in affine Lie algebras

1998

Journal Article

Two-point functions in affine SL(N) current algebra

Rasmussen, J (1998). Two-point functions in affine SL(N) current algebra. MODERN PHYSICS LETTERS A, 13 (15), 1213-1221. doi: 10.1142/S0217732398001285

Two-point functions in affine SL(N) current algebra

1998

Journal Article

Two-point functions in affine current algebra and conjugate weights

Rasmussen, J (1998). Two-point functions in affine current algebra and conjugate weights. MODERN PHYSICS LETTERS A, 13 (16), 1281-1288. doi: 10.1142/S0217732398001340

Two-point functions in affine current algebra and conjugate weights

1998

Journal Article

Free field realizations of affine current superalgebras, screening currents and primary fields

Rasmussen, Jørgen (1998). Free field realizations of affine current superalgebras, screening currents and primary fields. Nuclear Physics B, 510 (3), 688-720. doi: 10.1016/S0550-3213(97)00693-7

Free field realizations of affine current superalgebras, screening currents and primary fields

1998

Journal Article

Screening current representation of quantum superalgebras

Rasmussen, J. (1998). Screening current representation of quantum superalgebras. Modern Physics Letters A, 13 (18), 1485-1493. doi: 10.1142/S021773239800156X

Screening current representation of quantum superalgebras

1997

Journal Article

Free field realizations of 2D current algebras, screening currents and primary fields

Petersen, J. L., Rasmussen, J. and Yu, M. (1997). Free field realizations of 2D current algebras, screening currents and primary fields. Nuclear Physics B, 502 (3), 649-670.

Free field realizations of 2D current algebras, screening currents and primary fields

1996

Journal Article

Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level

Petersen, Jens Lyng, Rasmussen, Jorgen and Yu, Ming (1996). Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level. Nuclear Physics B, 481 (3), 577-621. doi: 10.1016/S0550-3213(96)00506-8

Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level

1996

Conference Publication

Free field realization of SL(2) correlators for admissible representations, and hamiltonian reduction for correlators

Petersen, J. L., Rasmussen, J. and Yu, M. (1996). Free field realization of SL(2) correlators for admissible representations, and hamiltonian reduction for correlators. 29th International Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany, 29 August - 2 September 1995. doi: 10.1016/0920-5632(96)00312-X

Free field realization of SL(2) correlators for admissible representations, and hamiltonian reduction for correlators

1995

Journal Article

Conformal blocks for admissible representations in SL(2) current algebra

Petersen, J. L., Rasmussen, J. and Yu, M. (1995). Conformal blocks for admissible representations in SL(2) current algebra. Nuclear Physics B, 457 (1-2), 309-342. doi: 10.1016/0550-3213(95)00499-8

Conformal blocks for admissible representations in SL(2) current algebra

1995

Journal Article

Hamiltonian reduction of SL(2) theories at the level of correlators

Petersen, J. L., Rasmussen, J. and Yu, M. (1995). Hamiltonian reduction of SL(2) theories at the level of correlators. Nuclear Physics B, 457 (1-2), 343-356. doi: 10.1016/0550-3213(95)00503-X

Hamiltonian reduction of SL(2) theories at the level of correlators

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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