The Guest Editors for this special issue are

Richard Borcherds (University of California, Berkeley, USA)
Edward Frenkel (University of California, Berkeley, USA)
Victor Kac (Massachusetts Institute of Technology, USA)
Robert Moody (University of Victoria, Canada)
Jiri Patera (Université de Montréal, Canada)
Arturo Pianzola (University of Alberta, Canada)
Pierre Ramond (University of Florida, USA)

Kac-Moody algebras are named after independent papers by Victor Kac and Robert Moody both published in 1968. These algebras, especially affine Lie algebras, have various applications in theoretical and mathematical physics (for example in conformal field theory and theory of exactly solvable models), geometry, etc.

This special issue is devoted to 40th anniversary of Kac-Moody algebras.

The topics include

• Kac-Moody and generalized Kac-Moody algebras;
• Virasoro algebras and super Virasoro algebras;
• affine Lie algebras;
• quantum affine algebras;
• vertex operator algebras;
• any applications of above algebras in mathematical and theoretical physics.

How to Submit an Article to the Issue.

The length of an article is not limited.

Publication will be done only on the results of the peer review according to refereeing policy of SIGMA.

If you have your paper ready earlier than the deadline, we encourage you to send it now. We will start the reviewing process and publish the paper as soon as the positive publication decision is made. The paper will be indexed in the relevant databases as soon as it is published without waiting for completion of the special issue.

Papers in this Issue:

Non-Gatherable Triples for Non-Affine Root Systems

Ivan Cherednik and Keith Schneider
SIGMA 4 (2008), 079, 12 pages   [ abs   pdf   ps ]

The PBW Filtration, Demazure Modules and Toroidal Current Algebras

Evgeny Feigin
SIGMA 4 (2008), 070, 21 pages   [ abs   pdf   ps ]

Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces

Doug Pickrell
SIGMA 4 (2008), 069, 33 pages   [ abs   pdf   ps ]

Wall Crossing, Discrete Attractor Flow and Borcherds Algebra

Miranda C.N. Cheng and Erik P. Verlinde
SIGMA 4 (2008), 068, 33 pages   [ abs   pdf   ps ]

Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras

Dmitry Fuchs and Constance Wilmarth
SIGMA 4 (2008), 059, 11 pages   [ abs   pdf   ps ]

On Griess Algebras

Michael Roitman
SIGMA 4 (2008), 057, 35 pages   [ abs   pdf   ps ]

Forthcoming papers:

Generating Series for Nested Bethe Vectors

Sergej Khoroshkin and Stanislav Pakuliak

Vertex Algebroids over Veronese Rings

Fedor Malikov