Integrable model of boundary interaction: The Paperclip - INSPIRE

DataBETA

Integrable model of boundary interaction: The Paperclip

Sergei L. Lukyanov
(
- Rutgers U., Piscataway and
- Landau Inst.
)
,
E.S. Vitchev
(
- Rutgers U., Piscataway
)
,
Alexander B. Zamolodchikov
(
- Rutgers U., Piscataway and
- Landau Inst. and
- Bonn U.
)

Dec, 2003

41 pages

Published in:

Nucl.Phys.B 683 (2004) 423-454

e-Print:

hep-th/0312168 [hep-th]

DOI:

10.1016/j.nuclphysb.2004.02.010

Report number:

RUNHETC-2003-35,
BONN-TH-2003-05

View in:

reference search63 citations

Citations per year

Abstract:

We consider a model of 2D quantum field theory on a disk, whose bulk dynamics is that of a two-component free massless Bose field (X,Y), and interaction occurs at the boundary, where the boundary values (X_B, Y_B) are constrained to special curve - the ``paperclip brane''. The interaction breaks conformal invariance, but we argue that it preserves integrability. We propose exact expression for the disk partition function (and more general overlap amplitudes < P | B > of the boundary state with all primary states) in terms of solutions of certain ordinary linear differential equations.

Note:

41 pages, 2 figures Report-no: RU-NHETC-2003-35, BONN-TH-2003-05 Subj-class: High Energy Physics - Theory: Mathematical Physics: Statistical Mechanics

11.10.Kk
dimension: 2
interaction
boundary condition
path integral
integrability
operator product expansion
approximation: semiclassical
instanton
algebra: W(N)

References(43)

Figures(0)

OPEN STRING THEORY AS DISSIPATIVE QUANTUM MECHANICS

Curtis G. Callan, Jr.
(
- SLAC and
- Princeton U.
)
,
Larus Thorlacius
(
- SLAC and
- Princeton U.
)

- Nucl.Phys.B 329 (1990) 117-138
•
DOI:
- 10.1016/0550-3213(90)90060-Q

Influence of dissipation on quantum tunneling in macroscopic systems

A.O. Caldeira
(
- Sussex U.
)
,
A.J. Leggett
(
- Sussex U.
)

- Phys.Rev.Lett. 46 (1981) 211
•
DOI:
- 10.1103/PhysRevLett.46.211

Conformal field theory approach to the Kondo effect

Ian Affleck
(
- British Columbia U.
)

- Acta Phys.Polon.B 26 (1995) 1869-1932
•
e-Print:
- cond-mat/9512099

Lectures on nonperturbative field theory and quantum impurity problems

H. Saleur
(
- Southern California U.
)

e-Print:
- cond-mat/9812110

Lectures on nonperturbative field theory and quantum impurity problems: Part 2

H. Saleur
(
- Southern California U. and
- CIT-USC
)

e-Print:
- cond-mat/0007309

On background independent open string field theory

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev.D 46 (1992) 5467-5473
•
e-Print:
- hep-th/9208027
•
DOI:
- 10.1103/PhysRevD.46.5467

Comment on the background independent open string theory

Samson L. Shatashvili
(
- Princeton, Inst. Advanced Study
)

- Phys.Lett.B 311 (1993) 83-86
•
e-Print:
- hep-th/9303143
•
DOI:
- 10.1016/0370-2693(93)90537-R

K theory from a physical perspective

Gregory W. Moore
(
- Rutgers U., Piscataway
)

•
e-Print:
- hep-th/0304018

Dirac-Born-Infeld Action from Dirichlet Sigma Model

R.G. Leigh
(
- Texas U.
)

- Mod.Phys.Lett.A 4 (1989) 2767
•
DOI:
- 10.1142/S0217732389003099

Wilson loops, D-branes, and reparametrization path integrals

Vyacheslav S. Rychkov
(
- Princeton U. and
- Princeton U., Math. Dept.
)

- JHEP 12 (2002) 068
•
e-Print:
- hep-th/0204250
•
DOI:
- 10.1088/1126-6708/2002/12/068

Adding Holes and Crosscaps to the Superstring

Curtis G. Callan, Jr.
(
- Princeton U.
)
,
C. Lovelace
(
- Princeton U.
)
,
C.R. Nappi
(
- Princeton U.
)
,
S.A. Yost
(
- Princeton U.
)

- Nucl.Phys.B 293 (1987) 83
•
DOI:
- 10.1016/0550-3213(87)90065-4

Boundary S matrix and boundary state in two-dimensional integrable quantum field theory

- Int.J.Mod.Phys.A 9 (1994) 3841-3886,
- Int.J.Mod.Phys.A 9 (1994) 4353 (erratum)
•
e-Print:
- hep-th/9306002
•
DOI:
- 10.1142/S0217751X94001552

Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz

- Commun.Math.Phys. 177 (1996) 381-398
•
e-Print:
- hep-th/9412229
•
DOI:
- 10.1007/BF02101898

Partition function of the eight vertex lattice model

Rodney J. Baxter
(
- Australian Natl. U., Canberra
)

- Annals Phys. 70 (1972) 193-228,
- Annals Phys. 281 (2000) 187-222
•
DOI:
- 10.1016/0003-4916(72)90335-1

Integrable structure of conformal field theory. 2. Q operator and DDV equation

- Commun.Math.Phys. 190 (1997) 247-278
•
e-Print:
- hep-th/9604044
•
DOI:
- 10.1007/s002200050240

Integrable structure of W(3) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory

- Nucl.Phys.B 622 (2002) 475-547
•
e-Print:
- hep-th/0105177
•
DOI:
- 10.1016/S0550-3213(01)00595-8

Analytical results for the Coqblin-Schrieffer model with generalized magnetic fields

V.V. Bazhanov
(
- Australian Natl. U., Canberra and
- Kyoto U., RIMS
)
,
Sergei L. Lukyanov
(
- Rutgers U., Piscataway and
- Landau Inst.
)
,
A.M. Tsvelik
(
- Brookhaven
)

- Phys.Rev.B 68 (2003) 094427
•
e-Print:
- cond-mat/0305237
•
DOI:
- 10.1103/PhysRevB.68.094427

Boundary Conditions, Fusion Rules and the Verlinde Formula

John L. Cardy
(
- UC, Santa Barbara
)

- Nucl.Phys.B 324 (1989) 581-596
•
DOI:
- 10.1016/0550-3213(89)90521-X

Anharmonic oscillators, the thermodynamic Bethe ansatz, and nonlinear integral equations

Patrick Dorey
(
- Durham U.
)
,
Roberto Tateo
(
- Amsterdam U.
)

- J.Phys.A 32 (1999) L419-L425
•
e-Print:
- hep-th/9812211
•
DOI:
- 10.1088/0305-4470/32/38/102

Spectral determinants for Schrodinger equation and Q operators of conformal field theory

- J.Statist.Phys. 102 (2001) 567-576
•
e-Print:
- hep-th/9812247
•
DOI:
- 10.1023/A:1004838616921

Integrable deformations of the $O(3)$ sigma model. The sausage model

V.A. Fateev
(
- Paris U., VI-VII
)
,
E. Onofri
(
- Parma U. and
- INFN, Parma
)
,
Alexei B. Zamolodchikov
(
- Montpellier U.
)

- Nucl.Phys.B 406 (1993) 521-565
•
DOI:
- 10.1016/0550-3213(93)90001-6

Phase Transitions in Long-Range Ferromagnetic Chains

J.M. Kosterlitz
(
- Birmingham U.
)

- Phys.Rev.Lett. 37 (1976) 1577-1580
•
DOI:
- 10.1103/PhysRevLett.37.1577

- Phys.Rev.Lett. 48 1745

- Phys.Rept. 198 237

- Phys.Rev.B 68 024204

1-25 of 43
1
2
25 / page