# Integrable model of boundary interaction: the paperclip

@article{Lukyanov2004IntegrableMO, title={Integrable model of boundary interaction: the paperclip}, author={Sergei L. Lukyanov and Evgueniy Vitchev and Alexander B. Zamolodchikov}, journal={Nuclear Physics}, year={2004}, volume={683}, pages={423-454} }

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 =(X,Y) , and interaction occurs at the boundary, where the boundary values (XB,YB) 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… Expand

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#### References

SHOWING 1-10 OF 40 REFERENCES

Integrable Circular Brane Model and Coulomb Charging at Large Conduction

- Physics, Mathematics
- 2004

We study a model of 2D QFT with boundary interaction, in which a two-component massless Bose field is constrained to a circle at the boundary. We argue that this model is integrable at two values of… Expand

Exact solution of a massless scalar field with a relevant boundary interaction

- Physics
- 1994

We solve exactly the “boundary sine-Gordon” system of a massless scalar field ∅ with a cos(12β∅) potential at a boundary. This model has appeared in several contexts, including tunneling between… Expand

Dirac-Born-Infeld Action from Dirichlet Sigma Model

- Physics
- 1989

In a recent paper we discussed, among other things, the effect of duality transformations on the open bosonic string theory. Namely, we conjectured that a macroscopic object, the D-brane, effectively… Expand

Wilson Loops, D-Branes, and Reparametrization Path-Integrals

- Physics
- 2002

We study path-integrals over reparametrizations of the world-sheet boundary. Such integrals arise when string propagates between fixed space-time contours. In gauge/string duality they are needed to… Expand

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

- Physics
- 1994

We study integrals of motion and factorizable S matrices in two-dimensional integrable field theory with boundary. We propose the "boundary cross-unitarity equation," which is the boundary analog of… Expand

Some computations in background-independent off-shell string theory.

- Physics, Medicine
- Physical review. D, Particles and fields
- 1993

From the computation it emerges that, although the string field action does not coincide with the world-sheet (matter) partition function in general, these functions do coincide on shell and this can be demonstrated in general. Expand

Branes in the 2D black hole

- Physics
- 2004

We present a comprehensive analysis of branes in the Euclidean 2D black hole (cigar). In particular, exact boundary states and annulus amplitudes are provided for D0-branes which are localized at the… Expand

The Boundary and Crosscap States in Conformal Field Theories

- Physics
- 1989

A method to obtain the boundary states and the crosscap states explicitly in various conformal field theories, is presented. This makes it possible to construct and analyse open string theories in… Expand

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

- Physics
- 1993

Abstract We consider two one-parameter families of two-dimensional relativistic factorized scattering theories, which are deformations of the ones characteristic for the two-dimensional O(3) sigma… Expand

Open string theory as dissipative quantum mechanics

- Physics
- 1990

Abstract We argue that vacuum configuration of open strings correspond to Caldeira-Leggett models of dissipative quantum mechanics (DQM) evaluated at a delocalization critical point. This connection… Expand