Comments on defects in the a(r) Toda field theories

Corrigan, Edward; Zambon, C.

doi:10.1088/1751-8113/42/30/304008

Comments on defects in the a(r) Toda field theories

Feb, 2009

23 pages

Published in:

J.Phys.A 42 (2009) 304008

e-Print:

0902.1307 [hep-th]

DOI:

10.1088/1751-8113/42/30/304008

View in:

pdf

reference search25 citations

Citations per year

Abstract: (arXiv)

A simple, basic, argument is given, based solely on energy-momentum considerations to recover conditions under which a_r affine or conformal Toda field theories can support defects of integrable type. Associated triangle relations are solved to provide expressions for transmission matrices that generalize previously known examples calculated for the sine-Gordon model and the a_2 affine Toda model.

Note:

23 pages/ contribution to a volume dedicated to the memory of Alexei Zamolodchikov

field theory: Toda
field theory: affine
defect
sine-Gordon model
integrability
field theory: conformal
tensor: energy-momentum
algebra: Lie
bootstrap
mathematical methods

References(28)

Figures(0)

Statistical models with a line of defect

G. Delfino
(
- SISSA, Trieste and
- INFN, Trieste
)
,
G. Mussardo
(
- SISSA, Trieste and
- INFN, Trieste
)
,
P. Simonetti
(
- SISSA, Trieste and
- INFN, Trieste
)

- Phys.Lett.B 328 (1994) 123-129
•
e-Print:
- hep-th/9403049
•
DOI:
- 10.1016/0370-2693(94)90439-1

Scattering theory and correlation functions in statistical models with a line of defect

G. Delfino
(
- SISSA, Trieste and
- INFN, Trieste
)
,
G. Mussardo
(
- SISSA, Trieste and
- INFN, Trieste
)
,
P. Simonetti
(
- SISSA, Trieste and
- INFN, Trieste
)

- Nucl.Phys.B 432 (1994) 518-550
•
e-Print:
- hep-th/9409076
•
DOI:
- 10.1016/0550-3213(94)90032-9

On the absence of simultaneous reflection and transmission in integrable impurity systems

O.A. Castro-Alvaredo
(
- Freie U., Berlin
)
,
A. Fring
(
- Freie U., Berlin
)
,
F. Gohmann
(
- Bayreuth U.
)

e-Print:
- hep-th/0201142

Scattering in the presence of a reflecting and transmitting impurity

M. Mintchev
(
- INFN, Pisa and
- Pisa U.
)
,
E. Ragoucy
(
- Annecy, LAPTH
)
,
P. Sorba
(
- Annecy, LAPTH
)

- Phys.Lett.B 547 (2002) 313-320
•
e-Print:
- hep-th/0209052
•
DOI:
- 10.1016/S0370-2693(02)02776-4

The Quantum non-linear Schrodinger model with point-like defect

V. Caudrelier
(
- Annecy, LAPTH
)
,
M. Mintchev
(
- INFN, Pisa and
- Pisa U.
)
,
E. Ragoucy
(
- Annecy, LAPTH
)

- J.Phys.A 37 (2004) L367-L376
•
e-Print:
- hep-th/0404144
•
DOI:
- 10.1088/0305-4470/37/30/L02

Finite temperature quantum field theory with impurities

M. Mintchev
(
- INFN, Pisa and
- Pisa U.
)
,
P. Sorba
(
- Annecy, LAPTH
)

- J.Stat.Mech. 0407 (2004) P07001
•
e-Print:
- hep-th/0405264
•
DOI:
- 10.1088/1742-5468/2004/07/P07001

Purely transmitting defect field theories

Robert Konik
(
- Cornell U., LNS
)
,
Andre LeClair
(
- Santa Barbara, KITP
)

- Nucl.Phys.B 538 (1999) 587-611
•
e-Print:
- hep-th/9703085
•
DOI:
- 10.1016/S0550-3213(98)00712-3

Classically integrable field theories with defects

P. Bowcock
(
- Durham U., Dept. of Math.
)
,
Edward Corrigan
(
- York U., England
)
,
C. Zambon
(
- York U., England
)

- Int.J.Mod.Phys.A 19S2 (2004) 82-91
•
e-Print:
- hep-th/0305022
•
DOI:
- 10.1142/S0217751X04020324

- Physica D 161 21

Classically integrable field theories with defects

P. Bowcock
(
- Durham U., Dept. of Math.
)
,
Edward Corrigan
(
- York U., England
)
,
C. Zambon
(
- York U., England
)

- Int.J.Mod.Phys.A 19S2 (2004) 82-91
•
e-Print:
- hep-th/0305022
•
DOI:
- 10.1142/S0217751X04020324

Affine Toda field theories with defects

- JHEP 01 (2004) 056
•
e-Print:
- hep-th/0401020
•
DOI:
- 10.1088/1126-6708/2004/01/056

Some aspects of jump-defects in the quantum sine-Gordon model

- JHEP 08 (2005) 023
•
e-Print:
- hep-th/0506169
•
DOI:
- 10.1088/1126-6708/2005/08/023

Solving topological defects via fusion

- Nucl.Phys.B 802 (2008) 307-329
•
e-Print:
- 0712.4292
•
DOI:
- 10.1016/j.nuclphysb.2008.04.003

On purely transmitting defects in affine Toda field theory

- JHEP 07 (2007) 001
•
e-Print:
- 0705.1066
•
DOI:
- 10.1088/1126-6708/2007/07/001

Quantum s Matrix of the (1+1)-Dimensional Todd Chain

- Phys.Lett.B 87 (1979) 389-392
•
DOI:
- 10.1016/0370-2693(79)90561-6

Two-Dimensional Generalized Toda Lattice

- Commun.Math.Phys. 79 (1981) 473
•
DOI:
- 10.1007/BF01209308

The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras

George Wilson

- Ergod.Theor.Dynam.Syst. 1 (1981) 361
•
DOI:
- 10.1017/S0143385700001292

Affine Toda Field Theory and Exact S Matrices

- Nucl.Phys.B 338 (1990) 689-746
•
DOI:
- 10.1016/0550-3213(90)90648-W

Representation Theory and Integration of Nonlinear Spherically Symmetric Equations to Gauge Theories

A.N. Leznov
(
- Serpukhov, IHEP
)
,
M.V. Saveliev
(
- Serpukhov, IHEP
)

- Commun.Math.Phys. 74 (1980) 111-118,
- In * Zvenigorod 1979, Proceedings, Group Theoretical Methods In Physics, Vol. 2*, 308-316
•
DOI:
- 10.1007/BF01197753

Liouville Field Theory

E. D'Hoker
(
- MIT, LNS
)
,
R. Jackiw
(
- MIT, LNS
)

- Phys.Rev.D 26 (1982) 3517
•
DOI:
- 10.1103/PhysRevD.26.3517

Light Cone Quantization of the Liouville and Toda Field Theories

Paul Mansfield
(
- Cambridge U.
)

- Nucl.Phys.B 222 (1983) 419-445
•
DOI:
- 10.1016/0550-3213(83)90543-6

Conformal quantum field theory models in two dimensions having Z3 symmetry

V.A. Fateev
(
- Moscow, ITEP
)
,
A.B. Zamolodchikov
(
- Moscow, ITEP
)

- Nucl.Phys.B 280 (1987) 644-660,
- Nucl.Phys.B 280 (1987) 644-660
•
DOI:
- 10.1016/0550-3213(87)90166-0

The Models of Two-Dimensional Conformal Quantum Field Theory with Z(n) Symmetry

V.A. Fateev
(
- ICTP, Trieste
)
,
Sergei L. Lukyanov
(
- Landau Inst.
)

- Int.J.Mod.Phys.A 3 (1988) 507,
•
DOI:
- 10.1142/S0217751X88000205

Solitons in affine Toda field theories

Timothy J. Hollowood
(
- Oxford U.
)

- Nucl.Phys.B 384 (1992) 3, 523-540
•
e-Print:
- hep-th/9110010
•
DOI:
- 10.1016/0550-3213(92)90579-Z

Topological solitons in A(r) affine Toda theory

- Phys.Lett.B 298 (1993) 95-102
•
DOI:
- 10.1016/0370-2693(93)91713-W

1-25 of 28
1
2
25 / page