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Peer-reviewedCC BY 4.0Physics Letters B

From closed to open strings: The tensionless route in Kalb-Ramond background and noncommutativity

Abstract

We study the closed-to-open transition of bosonic strings in the tensionless regime in the presence of a constant Kalb-Ramond field. The intrinsically tensionless action yields a mixed boundary condition which, in the closed-string channel, becomes a universal gluing relation between the two oscillator sectors. The associated mode-independent gluing matrix deforms Neumann gluing, and the induced vacuum is an explicit squeezed boundary state. A background-dependent Bogoliubov transformation shows how this state is reached from the tensile closed-string vacuum. For toroidal compactification the Kalb-Ramond field shifts the momentum-winding lattice but leaves the level-matched Bose-Einstein-like condensation channel unchanged. We also give a boundary symplectic derivation of endpoint noncommutativity. In the tensile theory it reproduces the Seiberg-Witten tensor, whereas in the tensionless theory the first-order Kalb-Ramond coupling is the sole surviving contribution to the boundary symplectic structure. Its inverse therefore determines the intrinsic endpoint noncommutativity of the tensionless open string.

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BibTeX
@article{duary2026from,
  title = {{From closed to open strings: The tensionless route in Kalb-Ramond background and noncommutativity}},
  author = {Sarthak Duary and Sourav Maji},
  journal = {Physics Letters B},
  year = {2026},
  month = oct,
  doi = {10.1016/j.physletb.2026.141079},
  url = {https://linkinghub.elsevier.com/retrieve/pii/S0370269326009299},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - From closed to open strings: The tensionless route in Kalb-Ramond background and noncommutativity
AU  - Sarthak Duary
AU  - Sourav Maji
PY  - 2026
DA  - 2026/10/30
JO  - Physics Letters B
DO  - 10.1016/j.physletb.2026.141079
UR  - https://linkinghub.elsevier.com/retrieve/pii/S0370269326009299
AB  - We study the closed-to-open transition of bosonic strings in the tensionless regime in the presence of a constant Kalb-Ramond field. The intrinsically tensionless action yields a mixed boundary condition which, in the closed-string channel, becomes a universal gluing relation between the two oscillator sectors. The associated mode-independent gluing matrix deforms Neumann gluing, and the induced vacuum is an explicit squeezed boundary state. A background-dependent Bogoliubov transformation shows how this state is reached from the tensile closed-string vacuum. For toroidal compactification the Kalb-Ramond field shifts the momentum-winding lattice but leaves the level-matched Bose-Einstein-like condensation channel unchanged. We also give a boundary symplectic derivation of endpoint noncommutativity. In the tensile theory it reproduces the Seiberg-Witten tensor, whereas in the tensionless theory the first-order Kalb-Ramond coupling is the sole surviving contribution to the boundary symplectic structure. Its inverse therefore determines the intrinsic endpoint noncommutativity of the tensionless open string.
SN  - 0370-2693
SN  - 1873-2445
ER  -