Publications of Bojko Bakalov

 

 

Twisted logarithmic modules of lattice vertex algebras (with M. Sullivan), submitted (2017), arXiv:1708.08172.

arXiv

 

Inhomogeneous supersymmetric bilinear forms (with M. Sullivan), accepted in Contemporary Math.; arXiv:1612.09400.

arXiv

 

Twisted logarithmic modules of free field algebras (with M. Sullivan), J. Math. Phys. 57 (2016), 061701, 18 pp.

journal ; arXiv

 

Additional symmetries of the extended bigraded Toda hierarchy (with W. Wheeless), J. Phys. A: Math. Theor. 49 (2016), 055201, 25 pp.

journal ; arXiv

 

Twisted logarithmic modules of vertex algebras, Commun. Math. Phys. 345 (2016), no. 1, 355-383.

journal ; arXiv

 

Orbifolds of lattice vertex algebras under an isometry of order two (with J. Elsinger), Journal of Algebra 441 (2015), 57-83.

journal ; arXiv

 

Bosonizations of  sl_2^ and integrable hierarchies (with D. Fleisher), Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 11 (2015) 005, 19 pp.

journal

 

W-constraints for the total descendant potential of a simple singularity (with T. Milanov), Compositio Math. 149 (2013), no. 5, 840-888.

journal ; arXiv

 

Irreducible modules over finite simple Lie pseudoalgebras II. Primitive pseudoalgebras of type K (with A. D'Andrea and V.G. Kac), Adv. Math. 232 (2013), no. 1, 188-237.

journal ; arXiv

 

Non-linear Lie conformal algebras with three generators (with A. De Sole), Selecta Math. (NS) 14 (2009), no. 2, 163-198.

journal ; arXiv

 

W_{N+1}-constraints for singularities of type A_N (with T. Milanov), preprint (2008), arXiv:0811.1965.

arXiv

 

Constructing models of vertex algebras in higher dimensions (with N.M. Nikolov), Bulg. J. Phys. 35 (2008), no. s1, 36-42.

pdf

 

Infinite-dimensional Lie algebras in 4D conformal quantum field theory (with N.M. Nikolov, K.-H. Rehren and I. Todorov), J. Phys. A: Math. Theor. 41 (2008) 194002, 12 pp.

journal ; arXiv

 

Vertex (Lie) algebras in higher dimensions. Hermann Weyl prize lecture, in Proceedings of the XXVI International Colloquium on Group Theoretical Methods in Physics, ed. J.L. Birman, S. Catto and B. Nicolescu, Canopus Pub. Ltd., Exeter, UK, 2009, pp. 15-20.

book ; arXiv

 

Unitary positive-energy representations of scalar bilocal quantum fields (with N.M. Nikolov, K.-H. Rehren and I. Todorov), Commun. Math. Phys. 271 (2007), no. 1, 223-246.

journal ; arXiv

 

Generalized vertex algebras (with V.G. Kac), in Lie theory and its applications in physics VI, ed. H.-D. Doebner and V.K. Dobrev, Heron Press, Sofia, 2006, pp. 3-25.

arXiv

 

Jacobi identity for vertex algebras in higher dimensions (with N.M. Nikolov), J. Math. Phys. 47 (2006), no. 5, 053505, 30 pp.

journal ; arXiv

 

Irreducible modules over finite simple Lie pseudoalgebras I. Primitive pseudoalgebras of type W and S (with A. D'Andrea and V.G. Kac), Adv. Math. 204 (2006), no. 1, 278-346.

journal ; arXiv

 

Twisted modules over lattice vertex algebras (with V.G. Kac), in Lie theory and its applications in physics V, ed. H.-D. Doebner and V.K. Dobrev, World Sci. Publishing, River Edge, NJ, 2004, pp. 3-26.

arXiv

 

Field algebras (with V.G. Kac), Int. Math. Res. Not. 2003, no. 3, 123-159.

journal ; arXiv

 

Theory of finite pseudoalgebras (with A. D'Andrea and V. G. Kac), Adv. Math. 162 (2001), no. 1, 1-140.

journal ; arXiv

 

Lectures on tensor categories and modular functors (with A. Kirillov, Jr.), University Lecture Series 21, Amer. Math. Soc., Providence, RI, 2001.

AMS bookstore ; preprint

 

On the lego-Teichmüller game (with A. Kirillov, Jr.), Transform. Groups 5 (2000), no. 3, 207-244.

journal ; arXiv

 

Cohomology of conformal algebras (with V.G. Kac and A.A. Voronov), Commun. Math. Phys. 200 (1999), no. 3, 561-598.

journal ; arXiv

 

Automorphisms of the Weyl algebra and bispectral operators (with E. Horozov and M. Yakimov), in The bispectral problem, ed. J. Harnad and A. Kasman, CRM Proc. Lecture Notes 14, Amer. Math. Soc., Providence, RI, 1998, pp. 3-10.

AMS Bookstore ; arXiv

 

Beilinson-Drinfeld's definition of a chiral algebra, unpublished, January 1997.

postscript

 

General methods for constructing bispectral operators (with E. Horozov and M. Yakimov), Phys. Lett. A 222 (1996), no. 1-2, 59-66.

journal ; arXiv

 

Highest weight modules over W_{1+infty} algebra and the bispectral problem (with E. Horozov and M. Yakimov), Duke Math. J. 93 (1998), no. 1, 41-72.

journal ; arXiv

 

Bispectral algebras of commuting ordinary differential operators (with E. Horozov and M. Yakimov), Commun. Math. Phys. 190 (1997), no. 2, 331-373.

journal ; arXiv

                                                                                                                                     

Highest weight modules of W_{1+infty}, Darboux transformations and the bispectral problem (with E. Horozov and M. Yakimov), Serdica Math. J. 23 (1997), no. 2, 95-112.

arXiv

 

Bäcklund-Darboux transformations in Sato's Grassmannian (with E. Horozov and M. Yakimov), Serdica Math. J. 22 (1996), no. 4, 571-586.

arXiv

 

A QFT approach to W_{1+infty} (with L.S. Georgiev and I.T. Todorov), in New trends in quantum field theory, ed. A. Ganchev et al., Heron Press, Sofia, 1996, pp. 147-158.

arXiv

 

Tau-functions as highest weight vectors for W_{1+infty} algebra (with E. Horozov and M. Yakimov), J. Phys. A 29 (1996), no. 17, 5565-5573.

journal ; arXiv