Dr Peter Bowcock's Outputs (39)

Classical backgrounds and scattering for affine Toda theory on a half-line (1998)
Journal Article
Bowcock, P. (1998). Classical backgrounds and scattering for affine Toda theory on a half-line. Journal of High Energy Physics, 1998(05), Article 008. https://doi.org/10.1088/1126-6708/1998/05/008

We find classical solutions to the simply-laced affine Toda equations which satisfy integrable boundary conditions using solitons which are analytically continued from imaginary coupling theories. Both static `vacuum' configurations and time-dependen... Read More about Classical backgrounds and scattering for affine Toda theory on a half-line.

Characters of admissible representations of the affine superalgebra sl(2/1;C). (1998)
Journal Article
Bowcock, P., Hayes, M., & Taormina, A. (1998). Characters of admissible representations of the affine superalgebra sl(2/1;C). Nuclear Physics B, B510(3), 739-763

Characters of admissible representations of the affine superalgebra sl(2|1) (1998)
Journal Article
Bowcock, P., Hayes, M., & Taormina, A. (1998). Characters of admissible representations of the affine superalgebra sl(2|1). Nuclear Physics B, 510(3), 739-763. https://doi.org/10.1016/S0550-3213%2897%2900542-7

Representation theory of the affine Lie superalgebra SL(2|1:C) at fractional level (1997)
Journal Article
Bowcock, P., & Taormina, A. (1997). Representation theory of the affine Lie superalgebra SL(2|1:C) at fractional level. Communications in Mathematical Physics, 185, 467-493

Representation Theory of the Affine Lie Superalgebra at Fractional Level (1997)
Journal Article
Bowcock, P., & Taormina, A. (1997). Representation Theory of the Affine Lie Superalgebra at Fractional Level. Communications in Mathematical Physics, 185(2), 467-493. https://doi.org/10.1007/s002200050099

Wakimoto modules for the affine superalgebra sl(2/1) and non-critical N = 2 Strings. (1996)
Journal Article
Bowcock, P., Koktava, R. K., & Taormina, A. (1996). Wakimoto modules for the affine superalgebra sl(2/1) and non-critical N = 2 Strings. Physics Letters B, 388(2), 303-308. https://doi.org/10.1016/s0370-2693%2896%2901103-3

Free field representations of the affine superalgebra A(1, 0)(1) at level k corresponding to two inequivalent choices of the simple roots are shown to be related by nonlinear canonical field transformations, both at the classical and at the quantum l... Read More about Wakimoto modules for the affine superalgebra sl(2/1) and non-critical N = 2 Strings..

Background field boundary conditions for affine Toda field theories (1996)
Journal Article
Bowcock, P., Corrigan, E., & Rietdijk, R. (1996). Background field boundary conditions for affine Toda field theories. Nuclear Physics B, 465(1-2), 350-364. https://doi.org/10.1016/0550-3213%2896%2900050-8

Classical integrability is investigated for affine Toda field theories in the presence of a constant background tensor field. This leads to a further set of discrete possibilities containing no free parameters other than the bulk coupling constant.

Classically integrable boundary conditions for affine Toda field theories (1995)
Journal Article
Bowcock, P., Corrigan, E., Dorey, P., & Rietdijk, R. (1995). Classically integrable boundary conditions for affine Toda field theories. Nuclear Physics B, 445(2-3), 469-500. https://doi.org/10.1016/0550-3213%2895%2900153-j

Boundary conditions compatible with classical integrability are studied both directly, using an approach based on the explicit construction of conserved quantities, and indirectly by first developing a generalisation of the Lax pair idea. The latter... Read More about Classically integrable boundary conditions for affine Toda field theories.

Representation theory of a W algebra from generalized DS reduction (1994)
Presentation / Conference Contribution
Bowcock, P. (1994, December). Representation theory of a W algebra from generalized DS reduction

Null vectors, three point and four point functions in conformal field theory (1994)
Journal Article
Bowcock, P., & Watts, G. (1994). Null vectors, three point and four point functions in conformal field theory

We consider 3-point and 4-point correlation functions in a conformal field theory with a W-algebra symmetry. Whereas in a theory with only Virasoro symmetry the three-point functions of descendant fields are uniquely determined by the three-point fun... Read More about Null vectors, three point and four point functions in conformal field theory.

Null vectors of the W(3) algebra (1992)
Journal Article
Bowcock, P., & Watts, G. M. T. (1992). Null vectors of the W(3) algebra. Physics Letters B, 297(3-4), 282-288. https://doi.org/10.1016/0370-2693%2892%2991263-9

Exceptional superconformal algebras (1992)
Journal Article
Bowcock, P. (1992). Exceptional superconformal algebras. Nuclear Physics B, 381(1-2), 415-430. https://doi.org/10.1016/0550-3213%2892%2990654-T

On the classification of quantum W algebras (1992)
Journal Article
Bowcock, P., & Watts, G. (1992). On the classification of quantum W algebras. Nuclear Physics B, 379(1-2), 63-95. https://doi.org/10.1016/0550-3213%2892%2990590-8

Some problems with two field tunneling (1991)
Presentation / Conference Contribution
Gregory, R., & Bowcock, P. (1991, August). Some problems with two field tunneling. Presented at Particles & Fields 91: Meeting of the Division of Particles & Fields of the APS, Vancouver, Canada

Multidimensional tunneling and complex momentum (1991)
Journal Article
Bowcock, P., & Gregory, R. (1991). Multidimensional tunneling and complex momentum. Physical Review D, 44, 1774-1785

Quasi-primary fields and associativity of chiral algebras (1991)
Journal Article
Bowcock, P. (1991). Quasi-primary fields and associativity of chiral algebras. Nuclear Physics B, 356(2), 367-386. https://doi.org/10.1016/0550-3213%2891%2990314-N

CANONICAL QUANTIZATION OF THE GAUGED WESS-ZUMINO MODEL (1989)
Presentation / Conference Contribution
Bowcock, P. CANONICAL QUANTIZATION OF THE GAUGED WESS-ZUMINO MODEL

The canonical formalism is developed for the two-dimensional Wess-Zumino model on a group manifold G with a subgroup H⊂G gauged, using time as the evolution parameter. The system is a constrained hamiltonian system which is dealt with using Dirac's p... Read More about CANONICAL QUANTIZATION OF THE GAUGED WESS-ZUMINO MODEL.

Coset constructions and extended conformal algebras (1988)
Journal Article
Bowcock, P., & Goddard, P. (1988). Coset constructions and extended conformal algebras. Nuclear Physics B, 305(4), 685-709. https://doi.org/10.1016/0550-3213%2888%2990122-8

VIRASORO ALGEBRAS WITH CENTRAL CHARGE c < 1 (1987)
Presentation / Conference Contribution
Bowcock, P., & Goddard, P. VIRASORO ALGEBRAS WITH CENTRAL CHARGE c < 1

It is known that, given an algebra and a subalgebra, g ⊃ h, the difference of the Sugawara constructions of the Virasoro algebras associated with the corresponding Kac-Moody algebras ĝ ⊃ ĥ defines another Virasoro algebra, v̂, and also that if the ce... Read More about VIRASORO ALGEBRAS WITH CENTRAL CHARGE c < 1.