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)

21 - 40 of 95 works

2014

Journal Article

Logarithmic superconformal minimal models

Pearce, Paul A., Rasmussen, Jørgen and Tartaglia, Elena (2014). Logarithmic superconformal minimal models. Journal of Statistical Mechanics: Theory and Experiment, 2014 (5) P05001, P05001.1-P05001.61. doi: 10.1088/1742-5468/2014/05/P05001

Logarithmic superconformal minimal models

2013

Journal Article

Modular invariant partition function of critical dense polymers

Morin-Duchesne, Alexi, Pearce, Paul A. and Rasmussen, Jørgen (2013). Modular invariant partition function of critical dense polymers. Nuclear Physics, Section B, 874 (1), 312-357. doi: 10.1016/j.nuclphysb.2013.05.016

Modular invariant partition function of critical dense polymers

2013

Journal Article

Coset construction of logarithmic minimal models: branching rules and branching functions

Pearce, Paul A. and Rasmussen, Jorgen (2013). Coset construction of logarithmic minimal models: branching rules and branching functions. Journal of Physics A: Mathematical and Theoretical, 46 (35) 355402, 355402. doi: 10.1088/1751-8113/46/35/355402

Coset construction of logarithmic minimal models: branching rules and branching functions

2013

Journal Article

Infinitely extended Kac table of solvable critical dense polymers

Pearce, Paul A., Rasmussen, Jørgen and Villani, Simon P. (2013). Infinitely extended Kac table of solvable critical dense polymers. Journal of Physics A - Mathematical and Theoretical, 46 (17) 175202, 1-38. doi: 10.1088/1751-8113/46/17/175202

Infinitely extended Kac table of solvable critical dense polymers

2013

Journal Article

Discrete holomorphicity and integrability in loop models with open boundaries

de Gier, Jan, Lee, Alexander and Rasmussen, Jorgen (2013). Discrete holomorphicity and integrability in loop models with open boundaries. Journal of Statistical Mechanics: Theory and Experiment, 2013 (2) P02029, P02029.1-P02029.27. doi: 10.1088/1742-5468/2013/02/P02029

Discrete holomorphicity and integrability in loop models with open boundaries

2012

Journal Article

Refined conformal spectra in the dimer model

Rasmussen, Jorgen and Ruelle, Philippe (2012). Refined conformal spectra in the dimer model. Journal of Statistical Mechanics-Theory and Experiment, 2012 (10) P10002, P10002-1-P10002-44. doi: 10.1088/1742-5468/2012/10/P10002

Refined conformal spectra in the dimer model

2012

Journal Article

Geometric exponents of dilute loop models

Provencher, Guillaume, Saint-Aubin, Yvan, Pearce, Paul A. and Rasmussen, Jorgen (2012). Geometric exponents of dilute loop models. Journal of Statistical Physics, 147 (2), 315-350. doi: 10.1007/s10955-012-0464-3

Geometric exponents of dilute loop models

2011

Journal Article

Classification of Kac representations in the logarithmic minimal models LM(1, p)

Rasmussen, Jørgen (2011). Classification of Kac representations in the logarithmic minimal models LM(1, p). Nuclear Physics, Section B, 853 (2), 404-435. doi: 10.1016/j.nuclphysb.2011.07.026

Classification of Kac representations in the logarithmic minimal models LM(1, p)

2011

Journal Article

W-extended Kac representations and integrable boundary conditions in the logarithmic minimal models WLM(1, p)

Rasmussen, Jorgen (2011). W-extended Kac representations and integrable boundary conditions in the logarithmic minimal models WLM(1, p). Journal Of Physics A-Mathematical And Theoretical, 44 (39 Article No.395205) 395205, 1-26. doi: 10.1088/1751-8113/44/39/395205

W-extended Kac representations and integrable boundary conditions in the logarithmic minimal models WLM(1, p)

2011

Journal Article

On the CFT duals for near-extremal black holes

Rasmussen, Jorgen (2011). On the CFT duals for near-extremal black holes. Modern Physics Letters A11, 26 (22), 1601-1611. doi: 10.1142/S0217732311035973

On the CFT duals for near-extremal black holes

2011

Journal Article

Coset graphs in bulk and boundary logarithmic minimal models

Pearce, Paul A. and Rasmussen, Jorgen (2011). Coset graphs in bulk and boundary logarithmic minimal models. Nuclear Physics B, 846 (3), 616-649. doi: 10.1016/j.nuclphysb.2011.01.014

Coset graphs in bulk and boundary logarithmic minimal models

2011

Journal Article

On hidden symmetries of extremal Kerr-NUT-AdS-dS black holes

Rasmussen, Jorgen (2011). On hidden symmetries of extremal Kerr-NUT-AdS-dS black holes. Journal of Geometry and Physics, 61 (5), 922-926. doi: 10.1016/j.geomphys.2011.01.006

On hidden symmetries of extremal Kerr-NUT-AdS-dS black holes

2010

Journal Article

A near-nhek/cft correspondence

Rasmussen, Jorgen (2010). A near-nhek/cft correspondence. International Journal of Modern Physics A, 25 (30), 5517-5527. doi: 10.1142/S0217751X10051001

A near-nhek/cft correspondence

2010

Journal Article

Graph fusion algebras of WLM(p,p′)

Rasmussen, Jorgen (2010). Graph fusion algebras of WLM(p,p′). Nuclear Physics, Section B, 830 (3), 493-541. doi: 10.1016/j.nuclphysb.2009.12.033

Graph fusion algebras of WLM(p,p′)

2010

Journal Article

Fusion matrices, generalized Verlinde formulas and partition functions in WLM(1, p)

Rasmussen, Jorgen (2010). Fusion matrices, generalized Verlinde formulas and partition functions in WLM(1, p). Journal of Physics A: Mathematical and Theoretical, 43 (10) 105201, 105201.1-105201.28. doi: 10.1088/1751-8113/43/10/105201

Fusion matrices, generalized Verlinde formulas and partition functions in WLM(1, p)

2010

Journal Article

Isometry-preserving boundary conditions in the kerr/CFT correspondence

Rasmussen, Jorgen (2010). Isometry-preserving boundary conditions in the kerr/CFT correspondence. International Journal of Modern Physics A, 25 (8), 1597-1613. doi: 10.1142/S0217751X10048986

Isometry-preserving boundary conditions in the kerr/CFT correspondence

2010

Journal Article

Solvable critical dense polymers on the cylinder

Pearce, Paul A., Rasmussen, Jorgen and Villani, Simon P. (2010). Solvable critical dense polymers on the cylinder. Journal of Statistical Mechanics: Theory and Experiment, 2010 (2) P02010, P02010.1-P02010.43. doi: 10.1088/1742-5468/2010/02/P02010

Solvable critical dense polymers on the cylinder

2010

Journal Article

Fusion of irreducible modules in WLM(p,p')

Rasmussen, Jorgen (2010). Fusion of irreducible modules in WLM(p,p'). Journal of Physics A: Mathematical and Theoretical, 43 (4) 045210, 045210.1-045210.27. doi: 10.1088/1751-8113/43/4/045210

Fusion of irreducible modules in WLM(p,p')

2010

Journal Article

Grothendieck ring and Verlinde-like formula for the W-extended logarithmic minimal model WLM(1, p)

Pearce, Paul A., Rasmussen, Jorgen and Ruelle, Philippe (2010). Grothendieck ring and Verlinde-like formula for the W-extended logarithmic minimal model WLM(1, p). Journal of Physics A: Mathematical and Theoretical, 43 (4) 045211, 045211.1-045211.13. doi: 10.1088/1751-8113/43/4/045211

Grothendieck ring and Verlinde-like formula for the W-extended logarithmic minimal model WLM(1, p)

2010

Journal Article

A note on Kerr/CFT and free fields

Rasmussen, J. (2010). A note on Kerr/CFT and free fields. International Journal of Modern Physics A, 25 (20), 3965-3973. doi: 10.1142/S0217751X10050457

A note on Kerr/CFT and free fields

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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