First and second quantization theories of open pbrane and their spectra
Abstract
Utilizing the free Polyakov action of open pbrane, we obtain the solution of satisfying the boundary conditions to EulerLagrange equation of the open pbrane, the first and second quantization theories of the pbrane are given. Further, we obtain a series of new multiple commutative relations between the different normal modes of the pbrane, obtain the new lowering and raising multiple operators, and give a series of the new fundamental multiple commutative relations of the lowering and raising multiple operators in the state space. And then we mainly take p = 3 case for example to investigate the spectrum of the open 3brane at different levels. Interestingly, we find three types of tachyon states including scalar states, vector states and 2rank tensor states, respectively. Besides, the graviton fields, KalbRamond fields, dilaton and photon states, 3rank tensor states as well, appear at the same level in the open 3brane model. For the spectrum of the pbrane (p > 3), one can do the whole analogous research on p = 3 except more complex.
 Publication:

Physics Letters B
 Pub Date:
 March 2011
 DOI:
 10.1016/j.physletb.2011.02.003
 Bibcode:
 2011PhLB..697..378Y
 Keywords:

 pBrane;
 Second quantization;
 Spectrum;
 Graviton fields;
 KalbRamond fields;
 Dilaton;
 Photon states