Boundary Poisson structure and quantization

@inproceedings{Zhao2001BoundaryPS,
  title={Boundary Poisson structure and quantization},
  author={Liu Zhao and Wenli He},
  year={2001}
}
Quantization of classical field in the presence of various boundary conditions is an old problem for which a systematical solution is still missing. This problem is important because it is related to a vast range of physical problems including, e.g. surface effect in condensed matter physics, cavity QED, Casimir energy, two-dimensional integrability [9, 10, 11, 12], mass generation [13, 14] and especially conformal field theory and open string theory . Recently, there has been a renewed… 

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On open string in generic background

A set of consistent Poisson brackets for an open string in generic spacetime background and NS-NS $B$-field is constructed. Upon quantization, this set of Poisson brackets lead to spacial

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