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Noncommutative D-brane and Open String in pp-wave Background with B-field
High Energy Physics - Theory · Submitted 20 Mar 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In particular, we find a fully noncommutative phase space whose noncommutativity depends on all these parameters.
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The abstract, sentence by sentence
The open string ending on a D-brane with a constant B-field in a pp-wave Ramond-Ramond background is exactly solvable. The theory is controlled by three dimensionful parameters: alpha', the mass parameter (RR background times the lightcone momentum) and the B-field. We quantize the open string theory and determine the full noncommutative structure. In particular, we find a fully noncommutative phase space whose noncommutativity depends on all these parameters. The lightcone Hamiltionian is obtained, and as a consequence of the nontrivial commutation relations of the theory, new features of the spectrum are noted. Various scaling limits of the string results are considered. Physical implications are discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The open string ending on a D-brane with a constant B-field in a pp-wave Ramond-Ramond background is exactly solvable. | result 0.75 | 0.41 | 0.31 | asserted 1.00 |
| s1 | The theory is controlled by three dimensionful parameters: alpha', the mass parameter (RR background times the lightcone momentum) and the B-field. | background 0.89 | 0.32 | 0.07 | asserted 1.00 |
| s2 | We quantize the open string theory and determine the full noncommutative structure. | contribution 0.56 | 0.96 | 0.18 | asserted 1.00 |
| s3 | In particular, we find a fully noncommutative phase space whose noncommutativity depends on all these parameters. | result 1.00 | 0.96 | 0.44 | asserted 1.00 |
| s4 | The lightcone Hamiltionian is obtained, and as a consequence of the nontrivial commutation relations of the theory, new features of the spectrum are noted. | result 0.94 | 0.92 | 0.16 | asserted 1.00 |
| s5 | Various scaling limits of the string results are considered. | contribution 0.75 | 0.87 | 0.02 | asserted 0.74 |
| s6 | Physical implications are discussed. | interpretation 0.93 | 0.69 | 0.05 | unclear 0.68 |
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The paper
Original abstract
The open string ending on a D-brane with a constant B-field in a pp-wave Ramond-Ramond background is exactly solvable. The theory is controlled by three dimensionful parameters: alpha', the mass parameter (RR background times the lightcone momentum) and the B-field. We quantize the open string theory and determine the full noncommutative structure. In particular, we find a fully noncommutative phase space whose noncommutativity depends on all these parameters. The lightcone Hamiltionian is obtained, and as a consequence of the nontrivial commutation relations of the theory, new features of the spectrum are noted. Various scaling limits of the string results are considered. Physical implications are discussed.
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References
How the literature uses it
4 arXiv papers cite this in 5 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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The full noncommutative phase-space structure is reproduced in case of strings in pp-wave background and background gauge field.
Strings in pp-wave background and background B-field from membrane and its symplectic quantization · 0.86
Papers citing it · 4 sentences without a confident label
Compares with it 1 paper
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This is in contrast with the results available so far for open strings on $AdS_n×S^n$ plane-wave limits supported by a non-zero $B_2$ [ref] , for which non-commutativity is restricted to the brane manifold on which the string endpoints move.
Quantization of the open string on plane-wave limits of dS_n x S^n and non-commutativity outside branes · Introduction · 1.00
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