Integrable Model of Boundary Interaction: The Paperclip

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.

41 pages, 2 figures

References in corpus (2)

• Branes in the 2D black hole
• Integrable Circular Brane Model and Coulomb Charging at Large Conduction

Cited by in corpus (57)

• Liouville Field Theory -- A decade after the revolution
• The ODE/IM Correspondence
• Holographic Duals of Long Open Strings
• NJL and QCD from String Theory
• Gauge Symmetry and Supersymmetry Breaking From Intersecting Branes
• D-Brane Dynamics Near NS5-Branes
• Boundary States for the Rolling D-branes in NS5 Background
• Non-compact String Backgrounds and Non-rational CFT
• Comments on D-brane Dynamics Near NS5-Branes
• Accelerating Branes and the String/Black Hole Transition
• Wilson loop in a $T\bar{T}$ like deformed ${\mathrm{CFT}}_2$
• Chiral Symmetry Breaking from Intersecting D-Branes
• $O(N)$ Models with Boundary Interactions and their Long Range Generalizations
• Dbrane Near NS5-branes: with Electromagnetic Field
• Convex ancient solutions of the mean curvature flow
• Rolling Down the Throat in NS5-brane Background: The Case of Electrified D-Brane
• Beyond the WKB approximation in PT-symmetric quantum mechanics
• Integrable structure of Quantum Field Theory: Classical flat connections versus quantum stationary states
• Integrable Circular Brane Model and Coulomb Charging at Large Conduction
• Notes on parafermionic QFT's with boundary interaction
• Dirichlet sigma models and mean curvature flow
• Boundary RG Flow Associated with the AKNS Soliton Hierarchy
• ODE/IM correspondence for the Fateev model
• Integrable Kondo problems
• D-Brane Propagation in Two-Dimensional Black Hole Geometries
• Quantum transfer-matrices for the sausage model
• On the scaling behaviour of the alternating spin chain
• Paperclip at $\theta =\pi$
• Ancient solutions of geometric flows with curvature pinching
• Integrable boundary interaction in 3D target space: the "pillow-brane" model
• Symmetries, Conserved Charges and (Black) Holes in Two Dimensional String Theory
• Spectrum of the reflection operators in different integrable structures
• Dual Form of the Paperclip Model
• Limiting Shapes of Ising Droplets, Ising Fingers, and Ising Solitons
• Hairpin-Branes and Tachyon-Paperclips in Holographic Backgrounds
• FZZ Scattering
• Unitarity Meets Channel-Duality for Rolling / Decaying D-Branes
• Geometric Tachyon to Universal Open String Tachyon
• Aspects of open strings in Rindler Space
• Geometric flows and (some of) their physical applications
• Hairpin Branes and D-Branes Behind the Horizon
• Aspects of the ODE/IM correspondence
• Bukhvostov-Lipatov model and quantum-classical duality
• Falling D0-Branes in 2D Superstring Theory
• Decaying D-branes and Moving Mirrors
• Kondo line defects and affine Gaudin models
• Black Hole - String Transition and Rolling D-brane
• Brane-Antibrane Dynamics From the Tachyon DBI Action
• On the ODE/IM correspondence for minimal models
• Crosscap states in N=2 Liouville theory
• On a class of conformal $\mathcal{E}$-models and their chiral Poisson algebras
• Renormalization group equations and geometric flows
• Holographic Dual of QCD from Black D5 Branes
• The atomic structure of ancient grain boundaries
• Is the horizon of an eternal black hole really smooth?
• Critical behavior of collapsing surfaces
• Families of Commuting Integrals of Motion with Certain Symmetries