Publications of Peter Bouwknegt

Publications in refereed journals:

• E.L. Bakkum, P. Bouwknegt and C. van der Leun,
  Resonant-absorption measurement of attosecond lifetimes,
  Nucl. Phys. A441 (1985) 209-220.
• P. Bouwknegt and P. van Nieuwenhuizen,
  Critical dimensions of the N=1 and N=2 spinning string derived from Fujikawa's approach,
  Class. Quant. Grav. 3 (1986) 207-219.
• F.A. Bais and P. Bouwknegt,
  A classification of subgroup truncations of the bosonic string,
  Nucl. Phys. B279 (1987) 561-570.
• P. Bouwknegt and W. Nahm,
  Realizations of the exceptional modular invariant A₁⁽¹⁾ partition functions,
  Phys. Lett. 184B (1987) 359-362.
• P. Bouwknegt,
  On the construction of modular invariant partition functions,
  Nucl. Phys. B290 [FS20] (1987) 507-526.
• F.A. Bais, P. Bouwknegt, K. Schoutens and M. Surridge,
  Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants,
  Nucl. Phys. B304 (1988) 348-370.
• F.A. Bais, P. Bouwknegt, K. Schoutens and M. Surridge,
  Coset construction for extended Virasoro algebras,
  Nucl. Phys. B304 (1988) 371-391.
• P. Bouwknegt,
  Extended conformal algebras,
  Phys. Lett. 207B (1988) 295-299.
• P. Bouwknegt,
  Lie algebra automorphisms, the Weyl group and tables of shift vectors,
  J. Math. Phys. 30 (1989) 571-584.
• P. Bouwknegt, A. Ceresole, J. McCarthy and P. van Nieuwenhuizen,
  The extended Sugawara construction for the superalgebras SU(M+1|N+1). Part I: Free field representation and bosonization of super Kac-Moody currents ,
  Phys. Rev. D39 (1989) 2971-2986.
• P. Bouwknegt, A. Ceresole, J. McCarthy and P. van Nieuwenhuizen,
  The extended Sugawara construction for the superalgebras SU(M+1|N+1). Part II: The 3rd order Casimir algebra ,
  Phys. Rev. D40 (1989) 415-421.
• P. Bouwknegt, J. McCarthy and K. Pilch,
  Free field realizations of WZNW-models; BRST complex and its quantum group structure,
  Phys. Lett. 234B (1990) 297-303.
• P. Bouwknegt, J. McCarthy and K. Pilch,
  Quantum group structure in the Fock space resolutions of sl(n)^ representations,
  Comm. Math. Phys. 131 (1990) 125-155.
• P. Bouwknegt and A. Ceresole,
  On a normal ordering ambiguity in the twisted WZW-model,
  Phys. Lett. 238B (1990) 224-230.
• P. Bouwknegt, J. McCarthy and K. Pilch,
  On the free field resolutions for coset conformal field theories,
  Nucl. Phys. B352 (1991) 139-162.
• P. Bouwknegt, J. McCarthy, D. Nemeschansky and K. Pilch,
  Vertex operators and fusion rules in the free field realizations of WZNW-models,
  Phys. Lett. 258B (1991) 127-133.
• P. Bouwknegt, J. McCarthy and K. Pilch,
  BRST analysis of physical states for 2D gravity coupled to c<=1 matter,
  Comm. Math. Phys. 145 (1992) 541-560.
• P. Bouwknegt, J. McCarthy and K. Pilch,
  Fock space resolution of the Virasoro highest weight modules with c<=1,
  Lett. Math. Phys. 23 (1991) 193-204, [hep-th/9108023].
• P. Bouwknegt, J. McCarthy and K. Pilch,
  Ground ring for the 2D NSR-string,
  Nucl. Phys. B377 (1992) 541-570, [hep-th/9112036].
• P. Bouwknegt, J. McCarthy and K. Pilch,
  Semi-infinite cohomology of W-algebras,
  Lett. Math. Phys. 29 (1993) 91-102, [hep-th/9302086].
• P. Bouwknegt, A. Ludwig and K. Schoutens,
  Spinon bases, Yangian symmetry and fermionic representations of Virasoro characters in conformal field theory,
  Phys. Lett. 338B (1994) 448-456, [hep-th/9406020].
• P. Bouwknegt, A. Ludwig and K. Schoutens,
  Spinon basis for higher level SU(2) WZW models,
  Phys. Lett. 359B (1995) 304-312, [hep-th/9412108].
• P. Bouwknegt, J. McCarthy and K. Pilch,
  BV-structure of the cohomology of nilpotent subalgebras and the geometry of (W-) strings,
  Lett. Math. Phys. 40 (1997) 17-30, [hep-th/9512032].
• P. Bouwknegt and K. Schoutens,
  The SU(n)^ WZW models: Spinon decomposition and Yangian structure,
  Nucl. Phys. B482 (1996) 345-372 [hep-th/9607064]
• P. Bouwknegt,
  Coset construction for winding subalgebras and applications
  [q-alg/9610013]
• P. Bouwknegt, J. McCarthy and P. van Nieuwenhuizen,
  Fusing the coordinates of quantum superspace
  Phys. Lett. 394B (1997) 82-86, [hep-th/9611067]
• P. Bouwknegt and K. Pilch,
  The deformed Virasoro algebra at roots of unity
  Comm. Math. Phys. 196 (1998) 249-288, [q-alg/9710026]
• P. Bouwknegt and K. Pilch,
  On deformed W-algebras and quantum affine algebras
  Adv. Theor. Math. Phys. 2 (1998) 125-165, [math.QA/9801112]
• P. Bouwknegt and K. Schoutens
  Non-abelian electrons
  Phys. Rev. Lett. 82 (1999) 2757-2760, [cond-mat/9805232]
• P. Bouwknegt and K. Schoutens
  Exclusion statistics in conformal field theory -- generalized fermions and spinons for level-1 WZW theories --
  Nucl. Phys. B547 (1999) 501-537, [hep-th/9810113]
• P. Bouwknegt
  q-Identities and affinized projective varieties, I. Quadratic monomial ideals
  Comm. Math. Phys. 210 (2000) 641-661, [math-ph/9902010]
• P. Bouwknegt and N. Halmagyi
  q-Identities and affinized projective varieties, II. Flag varieties
  Comm. Math. Phys. 210 (2000) 663-684, [math-ph/9903033]
• P. Bouwknegt, L. Chim and D. Ridout
  Exclusion statistics in conformal field theory and the UCPF for WZW models
  Nucl. Phys. B572 (2000) 547-573, [hep-th/9903176]
• E. Ardonne, P. Bouwknegt, S. Guruswamy and K. Schoutens
  K-matrices for non-abelian quantum Hall states
  Phys. Rev. B61 (2000) 10298-10302, [cond-mat/9908285]
• P. Bouwknegt and V. Mathai
  D-branes, B-fields and twisted K-theory
  J. High Energy Phys. 03 (2000) 007, [arXiv:hep-th/0002023]
• P. Bouwknegt
  Multipartitions, Generalized Durfee Squares and Affine Lie Algebra Characters
  J. Aust. Math. Soc. 72 (2002) 395-408, [arXiv:math.CO/0002223]
• E. Ardonne, P. Bouwknegt and K. Schoutens
  Non-Abelian quantum Hall states -- exclusion statistics, K-matrices and duality
  J. Stat. Phys. 102 (2001) 421-469, [arXiv:cond-mat/0004084]
• P. Bouwknegt, A.L. Carey, V. Mathai, M.K. Murray and D. Stevenson
  Twisted K-theory and K-theory of bundle gerbes
  Comm. Math. Phys. 228 (2002) 17-49, [arXiv:hep-th/0106194]
• P. Bouwknegt
  The Knizhnik-Zamolodchikov equations
  in "Geometric Analysis and Applications to Quantum Field Theory", eds. P. Bouwknegt and S. Wu, Progress in Mathematics 205, pp21-44, (Birkhäuser, Boston, 2002)
• P. Bouwknegt, P. Dawson and D. Ridout
  D-branes on group manifolds and fusion rings
  J. High Energy Phys. 12 (2002) 065, [arXiv:hep-th/0210302]
• E. Ardonne, P. Bouwknegt and P. Dawson
  K-matrices for 2D conformal field theories
  Nucl. Phys. B660 [FS] (2003) 473-531, [arXiv:hep-th/0212084]
• P. Bouwknegt, J. Evslin and V. Mathai
  T-duality: Topology Change from H-flux
  Comm. Math. Phys. 249 (2004) 383-415, [arXiv:hep-th/0306062]
• P. Bouwknegt, J. Evslin and V. Mathai
  On the topology and H-flux of T-dual manifolds
  Phys. Rev. Lett. 92 (2004) 181601, [arXiv:hep-th/0312052]
• P. Bouwknegt and D. Ridout
  A note on the equality of algebraic and geometric D-brane charges in WZW models
  J. High Energy Phys. 05 (2004) 029 (13 pages), [arXiv:hep-th/0312259]
• P. Bouwknegt, K. Hannabuss and V. Mathai
  T-duality for principal torus bundles
  J. High Energy Phys. 03 (2004) 018 (10 pages), [arXiv:hep-th/0312284]
• P. Bouwknegt, K. Hannabuss and V. Mathai
  Nonassociative tori and applications to T-duality
  Commun. Math. Phys. 264 (2006) 41-69, [arXiv:hep-th/0412092]
• P. Bouwknegt, K. Hannabuss and V. Mathai
  T-duality for principal torus bundles and dimensionally reduced Gysin sequences
  Adv. Theor. Math. Phys. 9 (2005) 749-773, [arXiv:hep-th/0412268]
• P. Bouwknegt, J. Evslin, B. Jurco , V. Mathai and H. Sati
  Flux Compactifications of Projective Spaces and The S-Duality Puzzle
  Adv. Theor. Math. Phys. 10 (3) (2006) 345-394, [arXiv:hep-th/0501110]
• P. Bouwknegt and D. Ridout
  Presentations of Wess-Zumino-Witten fusion rings
  Rev. in Math. Phys. 18 (2006) 201-232, [arXiv:hep-th/0602057]
• P. Bouwknegt, K. Hannabuss and V. Mathai
  C*-algebras in tensor categories
  [arXiv:math.QA/0702802]

Conference proceedings:

• F.A. Bais, P. Bouwknegt, K. Schoutens and M. Surridge,
  Extended Virasoro algebras,
  in "Perspectives in String Theory,'' proceedings of the Neils Bohr Institute/Nordita meeting, Copenhagen 12-16 oct. '87, eds. P. di Vecchia and J.L. Petersen (World Scientific, Singapore, 1988).
• P. Bouwknegt,
  Kac-Moody algebras in 2D conformal field theories,
  in "Conformal Invariance and Strings,'' proceedings of the Brasov international summer school, Poiana Brasov, 1-12 sep.'87, eds. P. Dita and V. Georgescu (Academic Press, 1989).
• P. Bouwknegt,
  Extended conformal algebras from Kac-Moody algebras,
  in ``Infinite dimensional Lie algebras and groups,'' proceedings of the conference held at CIRM, Luminy, Marseille, july 4-8, 1988, ed. V.G. Kac, (World Scientific, Singapore 1988),
  Adv. Ser. Math. Phys. 7 (1988) 527-555.
• P. Bouwknegt, J. McCarthy and K. Pilch,
  Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction,
  in the proceedings of ``Strings and Symmetries 1991,'' eds. N. Berkovitz et al. (World Scientific, Singapore, 1991), [hep-th/9110007].
• P. Bouwknegt, J. McCarthy and K. Pilch,
  BRST analysis of physical states for 2D (super) gravity coupled to (super) conformal matter,
  in the proceedings of the 1991 Cargèse Summer School ``New Symmetry Principles in Quantum Field Theory,'' eds. J. Fröhlich et al., pp. 413-422 (Plenum Press, New York, 1992), [hep-th/9110031].
• P. Bouwknegt, J. McCarthy and K. Pilch,
  On physical states in 2d (topological) gravity ,
  in the proceedings of the 1992 Trieste Spring School and Workshop on ``String Theory and Quantum Gravity,'' eds. J. Harvey et al., (World Scientific, Singapore, 1992).
• P. Bouwknegt, J. McCarthy and K. Pilch,
  Semi-infinite cohomology in conformal field theory and 2d gravity,
  J. Geom. Phys. 11 (1993) 225-249.
  (proceedings of the ``XXV Karpacz Winter School of Theoretical Physics''), [hep-th/9209034].
• P. Bouwknegt, J. McCarthy and K. Pilch,
  On the BRST structure of W3 gravity coupled to c=2 matter,
  in ``Perspectives in Mathematical Physics, Vol. III,'' eds. R. Penner and S.T. Yau, pp. 77-89 (International Press, Boston, 1994), [hep-th/9303164].
• P. Bouwknegt, J. McCarthy and K. Pilch,
  On the W-gravity spectrum and its G-structure,
  in the proceedings of the workshop ``Strings, Conformal Models and Topological Field Theory,'' eds. L. Baulieu et al., pp. 59-70, Cargèse, May '93 (Plenum Press, New York, 1995),
  [hep-th/9311137].
• P. Bouwknegt and K. Pilch,
  On the Virasoro algebra and its cohomology,
  in the proceedings of the First Caribbean School of Mathematics and Theoretical Physics, "Infinite dimensional geometry, non commutative geometry, operator algebras and fundamental interactions,'' eds. R. Coquereaux et al., Guadeloupe, May 30 - June 13, 1993, pp. 206-239 (World Scientific, Singapore, 1995).
• P. Bouwknegt and K. Pilch,
  The BV-algebra structure of W3 cohomology,
  in the proceedings of ``Gürsey Memorial Conference I: Strings and Symmetries,'' eds. G. Aktas et al., Istanbul, June '94, Lect. Notes in Phys. 447 (1995) 283-291 (Springer Verlag, Berlin, 1995), [hep-th/9509126].
• P. Bouwknegt, A. Ludwig and K. Schoutens,
  Affine and Yangian symmetries in SU(2)_1 conformal field theory,
  in the Proceedings of the 1994 Trieste Summer School on ``High Energy Physics and Cosmology,'' eds. E. Gava et al., Trieste, July 1994, pp. 402-423, (World Scientific, Singapore, 1995), [hep-th/9412199].
• P. Bouwknegt, A. Ludwig and K. Schoutens,
  Spinon basis for (sl_2^)_k integrable highest weight modules and new character formulas,
  in the proceedings of ``Statistical Mechanics and Quantum Field Theory,'' eds. P. Bouwknegt et al., USC, Los Angeles, May 16-21, 1994 (World Scentific, Singapore, 1995) [hep-th/9504074].
• P. Bouwknegt, J. McCarthy and K. Pilch,
  Operator algebra of the 4D W3 string,
  in the proceedings of "Strings '95: Future Perspectives in String Theory,'' eds. I. Bars et al., USC, March 13-18, 1995, pp. 63-76 (World Scientific, Singapore, 1995) [hep-th/9509121].
• P. Bouwknegt and K. Schoutens,
  Spinon decomposition and Yangian structure of sl(n)^ modules,
  Published in ``Geometric Analysis and Lie Theory in Mathematics and Physics,'' eds. A.L. Carey and M.K. Murray, Australian Mathematical Society Lecture Series 11, (Cambridge University Press, Cambridge, 1997), [q-alg/9703021]
• P. Bouwknegt,
  Deformed W-algebras, quantum affine algebras and integrable models of statistical mechanics,
  in "Group 22: proceedings of the XII International Colloquium on Group Theoretical Methods in Physics'', eds. S. Corney et al., Hobart, July 13-17, 1998, (International Press, Cambridge, 1998) [ps]
• P. Bouwknegt
  Generalized geometry, mirror symmetry and T-duality
  Published in the proceedings of the Oberwolfach mini-workshop on "Gerbes, Twisted K-theory and Conformal Field Theory'' (Oberwolfach, 14-20 August 2005), MFO Report 38 (2005) 35-38.
• P. Bouwknegt
  T-duality and Generalized Geometry
  Published in the proceedings of the Oberwolfach workshop on "Analysis and Topology in Interaction'' (Oberwolfach, 12-18 March 2006), MFO Report 13 (2006) 63-66.

Extended Abstracts:

• P. Bouwknegt,
  The BV-algebra structure of W3 cohomology,
  in the Proceedings of the "XI-th International Congress of Mathematical Physics,'' Paris, July 1994, ed. D. Iagolnitzer, pp. 714-715, (International Press, Boston, 1995).
• P. Bouwknegt and K. Schoutens,
  From W_N to Y(sl_N),
  to appear in the proceedings of ``W-algebras: Extended conformal symmetries,'' Marseille-Luminy, July 3-7, 1995 [ps].
• P. Bouwknegt, J. McCarthy and K. Pilch,
  The W3 algebra: Modules, semi-infinite cohomology and BV-algebras,
  to appear in the proceedings of "W-algebras: Extended conformal symmetries,'' Marseille-Luminy, July 3-7, 1995 [ps].

Books, reviews and reports:

• P. Bouwknegt, J. McCarthy and K. Pilch,
  Free field approach to 2-dimensional conformal field theories,
  Prog. Theor. Phys. Suppl. 102 (1990) 67-135.
  (proceedings of the 1990 Kyoto conference ``Common Trends in Mathematics and QFT'').
• P. Bouwknegt and K. Schoutens,
  W-symmetry in conformal field theory,
  Phys. Reports 223 (1993) 183-276, [hep-th/9210010].
• P. Bouwknegt and K. Schoutens,
  W-symmetry (reprint volume),
  Adv. Series in Math. Phys. Vol. 22, (World Scientific, Singapore, 1995).
• P. Bouwknegt, P. Fendley, J. Minahan, D. Nemeshansky, K. Pilch, H. Saleur and N. Warner (editors)
  Proceedings of ``Statistical Mechanics and Quantum Field Theory,'' USC, Los Angeles, May 16-21, 1994 (World Scientific, Singapore, 1995).
• I. Bars, P. Bouwknegt, J. Minahan, D. Nemeshansky, K. Pilch, H. Saleur and N. Warner (editors)
  Proceedings of ``Strings '95: Future Perspectives in String Theory,'' USC, Los Angeles, March 13-18, 1995, (World Scientific, Singapore, 1996).
• P. Bouwknegt, J. McCarthy and K. Pilch,
  The W3 algebra: Modules, semi-infinite cohomology and BV-algebras,
  Lect. Notes in Physics: Monographs 42 (Springer Verlag, Berlin, 1996), [hep-th/9509119].
• P. Bouwknegt and S. Wu (editors)
  Geometric Analysis and Applications to Quantum Field Theory
  Progress in Mathematics 205 (203 pages) (Birkhäuser, Boston, 2002)
• P. Bouwknegt, P. Jarvis and J. Links (editors)
  Hurst-Bracken Festschrift
  Reports on Math. Phys. 57 (1) (2006) 1-161, [on-line]

Other:

• P. Bouwknegt
  If only Math Mattered
  Gazette 33 (1) (2006) 5-7, [on-line].