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Noncommutative D-brane in a nonconstant NS-NS B field background.
1Department of Physics, National Taiwan University, Taipei 106, Taiwan, Republic of China. pmho@phys.ntu.edu.tw
Physical Review Letters
|January 3, 2001
Summary
Researchers discovered a novel noncommutative space arising from open string endpoints. This new space differs significantly from existing models when the NS-NS B field strength is non-zero.
Area of Science:
- Theoretical Physics
- String Theory
- Quantum Field Theory
Background:
- Noncommutative geometry is crucial in understanding quantum field theories.
- The B field in string theory backgrounds influences spacetime properties.
- Previous studies explored noncommutative spaces related to constant B fields.
Purpose of the Study:
- To investigate the nature of noncommutative spaces generated by open string endpoints.
- To analyze the impact of a non-vanishing NS-NS B field strength on these spaces.
- To identify novel noncommutative structures beyond those from constant B fields.
Main Methods:
- Analysis of mixed commutation relations for open string end points.
- Identification of coordinates and momenta with D-brane world volume derivatives.
- Comparison with existing noncommutative space models.
Main Results:
- A new set of mixed commutation relations for coordinates and momenta of open string endpoints was derived.
- A novel type of noncommutative space was identified when the NS-NS B field strength is non-zero.
- This noncommutative space fundamentally differs from those associated with constant B fields.
Conclusions:
- The presence of a non-vanishing NS-NS B field leads to a distinct noncommutative geometry.
- This finding expands our understanding of noncommutative spaces in string theory.
- The derived structure offers new avenues for exploring quantum field theories on D-branes.