Journal article

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

Michael Canagasabey, Jorgen Rasmussen, David Ridout

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | IOP PUBLISHING LTD | Published : 2015

Abstract

It is now well known that non-local observables in critical statistical lattice models, polymers and percolation for example, may be modelled in the continuum scaling limit by logarithmic conformal field theories. Fusion rules for such theories, sometimes referred to as logarithmic minimal models, have been intensively studied over the last ten years in order to explore the representation-theoretic structures relevant to non-local observables. Motivated by recent lattice conjectures, this work studies the fusion rules of the N = 1 supersymmetric analogues of these logarithmic minimal models in the Neveu-Schwarz sector. Fusion rules involving Ramond representations will be addressed in a sequ..

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University of Melbourne Researchers

Grants

Awarded by Australian Research Council


Funding Acknowledgements

MC is supported by an Australian Postgraduate Award from the Australian Government. JR was supported by the Australian Research Council under the Future Fellowship scheme, project number FT100100774. DR's research is supported by the Australian Research Council Discovery Project DP1093910. The authors thank Pierre Mathieu and Simon Wood for helpful correspondence and discussions.