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Strings in Background Electric Field, Space/Time Noncommutativity and A New Noncritical String Theory
High Energy Physics - Theory · Submitted 4 May 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim However, an appropriate limit toward the critical field leads to a novel noncritical string theory on a noncommutative spacetime.
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The abstract, sentence by sentence
Searching for space/time noncommutativity we reconsider open strings in a constant background electric field. The main difference between this situation and its magnetic counterpart is that here there is a critical electric field beyond which the theory does not make sense. We show that this critical field prevents us from finding a limit in which the theory becomes a field theory on a noncommutative spacetime. However, an appropriate limit toward the critical field leads to a novel noncritical string theory on a noncommutative spacetime.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Searching for space/time noncommutativity we reconsider open strings in a constant background electric field. | background 0.51 | 0.76 | 0.04 | asserted 0.54 |
| s1 | The main difference between this situation and its magnetic counterpart is that here there is a critical electric field beyond which the theory does not make sense. | result 0.47 | 0.24 | 0.06 | asserted 1.00 |
| s2 | We show that this critical field prevents us from finding a limit in which the theory becomes a field theory on a noncommutative spacetime. | result 0.85 | 0.91 | 0.18 | asserted 1.00 |
| s3 | However, an appropriate limit toward the critical field leads to a novel noncritical string theory on a noncommutative spacetime. | result 0.91 | 0.93 | 0.73 | asserted 0.99 |
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The paper
Original abstract
Searching for space/time noncommutativity we reconsider open strings in a constant background electric field. The main difference between this situation and its magnetic counterpart is that here there is a critical electric field beyond which the theory does not make sense. We show that this critical field prevents us from finding a limit in which the theory becomes a field theory on a noncommutative spacetime. However, an appropriate limit toward the critical field leads to a novel noncritical string theory on a noncommutative spacetime.
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References
How the literature uses it
48 arXiv papers cite this in 88 sentences
Papers citing it · 60 sentences without a confident label
Builds on it 1 paper
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We now remark that, in the case of Neumann strings in the presence of a constant electric field, with intensity $E⃗$, as was considered in [ref] , the time delay is modified to become [equation] where $Ẽ_i ≡E_i/E_c$ and $E_c ≡1/2πα'$ is the Born-Infeld critical electric field, that characterizes open strings in an external constant electric field background [ref] .
Derivation of a Vacuum Refractive Index in a Stringy Space-Time Foam Model · A D-Brane Model for the Vacuum Refractive Index · 0.95
Compares with it 2 papers
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Because the chain of duality involved S-duality at one point, what we are doing is similar in spirit to defining NCOS as the strong coupling limit of NCSYM [ref] .
Microscopic Formulation of Puff Field Theory · Introduction · 0.86
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Moreover, note that there is no critical value for $γ$ at which $B$ blows up, as there would be for canonical space-time noncommutativity [ref] .
Almost abelian twists and AdS/CFT · Examples – $r_1$ – $𝔥_3 ⊕ℝ$ · 0.97
Cites it as support 1 paper
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The fact that the interactions are causal is an exclusive feature of string theory, as emphasized in [ref] , and stems from the fact that the amplitude calculations lead to the existence of only retarded waves, emitted after the scattering of the open string states with the defect, and the absence of advanced waves that could cause violations of causality, which by the way do characterize local field theories in non-commutative space times.
Probing Lorentz Violating (Stringy) Quantum Space-Time Foam · Brane-Foam and High-Energy $γ$-Ray Astrophysics · 0.96
Cites it as background 22 papers
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NR string theory was uncovered as a 10-dimensional framework unifying the $p$-dimensional noncommutative open string (NCOS) theories [ref] , originally thought to be surprising examples of string theories that did not contain gravity.
On the Underlying Nonrelativistic Nature of Relativistic Holography · Antecedents · 0.93
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In this letter, we investigate the time delay effect from space-time non-commutativity [ref] .
Non-Commutativity, Teleology and GRB Time Delay · Introduction · 0.82
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With this mindset, their gravity duals were obtained in [ref] .
Geometry from D-branes in Nonrelativistic String Theory · Introduction and Summary · 0.83
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