Conformal boundary states for free bosons and fermions

Abstract

A family of conformal boundary states for a free boson on a circle is constructed. The family contains superpositions of conventional U(1)-preserving Neumann and Dirichlet branes, but for general parameter values the boundary states are fundamental and preserve only the conformal symmetry. The relative overlaps satisfy Cardy's condition, and each boundary state obeys the factorisation constraint. It is also argued that, together with the conventional Neumann and Dirichlet branes, these boundary states already account for all fundamental conformal D-branes of the free boson theory. The results can be generalised to the situation with N=1 world-sheet supersymmetry, for which the family of boundary states interpolates between superpositions of non-BPS branes and combinations of conventional brane anti-brane pairs.

32 pages, harvmac (b), 1 figure

References in corpus (2)

• The conformal boundary states for SU(2) at level 1
• Descent Relations in Type 0A/0B

Cited by in corpus (75)

• Tachyon Matter
• Tachyon Dynamics in Open String Theory
• Timelike Boundary Liouville Theory
• Rolling Tachyons from Liouville theory
• Time Evolution in Open String Theory
• Topological defects for the free boson CFT
• Reflection and Transmission for Conformal Defects
• Decay of Unstable D-branes with Electric Field
• S-Brane Thermodynamics
• Fusion of conformal interfaces
• Exploring de Sitter Space and Holography
• Line and surface defects for the free scalar field
• Rational Conformal Field Theories and Complex Multiplication
• Lectures on Branes in Curved Backgrounds
• Symmetry Breaking Boundary States and Defect Lines
• D-branes in Nongeometric Backgrounds
• Two-dimensional superstrings and the supersymmetric matrix model
• A worldsheet extension of O(d,d;Z)
• Non-compact String Backgrounds and Non-rational CFT
• K-Theory from a physical perspective
• Generalised permutation branes
• Boundary Spectra in Superspace Sigma-Models
• Boundary states in coset conformal field theories
• Exact Solutions in Open Bosonic String Field Theory and Marginal Deformation in CFT
• The RR charges of A-type Gepner models
• Boundary States of c=1 and 3/2 Rational Conformal Field Theories
• Entanglement branes and factorization in conformal field theory
• Defects in the Tri-critical Ising model
• The Gaussian free field and SLE(4) on doubly connected domains
• Boundary Liouville theory at c=1
• Studying the 3d Ising surface CFTs on the fuzzy sphere
• Fermionization of conformal boundary states
• Open spin chain realization of topological defect on 1d Ising model and boundary and bulk symmetry
• Composite operators near the boundary
• Universal Dynamics of Heavy Operators in Boundary CFT${}_2$
• Lower bound on the entropy of boundaries and junctions in 1+1d quantum critical systems
• N=2 Superconformal boundary states for free bosons and fermions
• Matrix factorisations and D-branes on K3
• D-branes in T-fold conformal field theory
• The classifying algebra for defects
• Novel construction of boundary states in coset conformal field theories
• Monstrous branes
• The geometry of the limit of N=2 minimal models
• Critical Boundary Sine-Gordon Revisited
• Boundary RG Flows for Fermions and the Mod 2 Anomaly
• Remarks on the rolling tachyon BCFT
• A Note on c=1 Virasoro Boundary States and Asymmetric Shift Orbifolds
• Non-maximally symmetric D-branes on group manifold in the Lagrangian approach
• Matrix Models and 2D String Theory
• On supersymmetry breaking in string theory from gauge theory in a throat
• Energy Quantisation in Bulk Bouncing Tachyon
• Moduli Space of Unstable D-branes on a Circle of Critical Radius
• Conformal interfaces between free boson orbifold theories
• Fusion of conformal interfaces and bulk induced boundary RG flows
• Closed string deformations in open string field theory I: bosonic string
• D-branes at multicritical points
• Twisted boundary states in c=1 coset conformal field theories
• Conformal boundary conditions for a 4d scalar field
• Symmetry-breaking boundary states for WZW models
• Rolling tachyon in anti-de Sitter space-time
• Bulk induced boundary perturbations for N=1 superconformal field theories
• Level Truncation Approach to Open String Field Theory
• Spontaneous symmetry breaking in free theories with boundary potentials
• Universal time evolution of string order parameter in quantum critical systems with boundary invertible or non-invertible symmetry breaking
• Scaling limit of the staggered six-vertex model with $U_q(\mathfrak{sl}(2))$ invariant boundary conditions
• The Rolling Tachyon Boundary Conformal Field Theory on an Orbifold
• Bootstrapping Boundaries and Branes
• Total and Symmetry resolved Entanglement spectra in some Fermionic CFTs from the BCFT approach
• Gepner-like boundary states on $T^4$
• Fractional S-branes on a Spacetime Orbifold
• Topological defects in string theory orbifolds with target spaces $\mathbb{C}/{\mathbb{Z}}_N$ and $S^1/{\mathbb{Z}}_2$
• Bulk induced boundary perturbations
• A Note on Tachyon Moduli and Closed Strings
• Boundary critical phenomena in the quantum Ashkin-Teller model
• Condensation de tachyon dans le système brane-antibrane