Unstable Solitons in Noncommutative Gauge Theory

Andrew Strominger; Mina Aganagic; Rajesh Gopakumar; Shiraz Minwalla

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Unstable Solitons in Noncommutative Gauge Theory

Mina Aganagic, Rajesh Gopakumar, Shiraz Minwalla, Andrew Strominger

High Energy Physics - Theory · Submitted 18 Sep 2000

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The authors' main claim We find a class of exact solutions of noncommutative gauge theories corresponding to unstable non-BPS solitons.

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arXiv IDhep-th/0009142 (version 2)

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CitationAndrew Strominger, Mina Aganagic, Rajesh Gopakumar, Shiraz Minwalla. "Unstable Solitons in Noncommutative Gauge Theory." arXiv:hep-th/0009142 (2000). https://pith.science/paper/IM36GH23

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.32 · human participants 0.01 · controlled comparison 0.14 · randomized assignment 0.01 · states quantitative result 0.17 · compares with prior results 0.82 · mentions code or data availability 0.01.

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We find a class of exact solutions of noncommutative gauge theories corresponding to unstable non-BPS solitons. In the two-dimensional euclidean (or 2+1 dimensional lorentzian) U(1) theory we find localized solutions carrying nonzero magnetic flux. In four euclidean dimensions we find non-BPS solutions with the same Pontrjagin charge but greater energy than the usual self-dual Yang-Mills instanton. We conjecture that these solutions and generalizations thereof correspond to nonsupersymmetric configurations of D-(p-2k) branes (or intersections thereof) in a D-p brane in the noncommutative scaling limit of large B-field. In the particular case of a 0-brane on a 2-brane the analysis of small fluctuations reveals an infinite tower of states which agrees exactly with that of the 0-2 CFT in the scaling limit. The spectrum contains a tachyon, and we show explicitly that the endpoint of tachyon condensation corresponds to the 0-brane dissolved in the 2-brane.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We find a class of exact solutions of noncommutative gauge theories corresponding to unstable non-BPS solitons.	result 0.80	0.97	0.68	asserted 1.00
s1	In the two-dimensional euclidean (or 2+1 dimensional lorentzian) U(1) theory we find localized solutions carrying nonzero magnetic flux.	result 0.99	0.96	0.08	asserted 1.00
s2	In four euclidean dimensions we find non-BPS solutions with the same Pontrjagin charge but greater energy than the usual self-dual Yang-Mills instanton.	result 1.00	0.96	0.13	asserted 1.00
s3	We conjecture that these solutions and generalizations thereof correspond to nonsupersymmetric configurations of D-(p-2k) branes (or intersections thereof) in a D-p brane in the noncommutative scaling limit of large B-field.	interpretation 1.00	0.34	0.32	speculative 1.00
s4	In the particular case of a 0-brane on a 2-brane the analysis of small fluctuations reveals an infinite tower of states which agrees exactly with that of the 0-2 CFT in the scaling limit.	result 0.98	0.89	0.11	asserted 0.99
s5	The spectrum contains a tachyon, and we show explicitly that the endpoint of tachyon condensation corresponds to the 0-brane dissolved in the 2-brane.	result 0.95	0.94	0.27	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Original abstract

We find a class of exact solutions of noncommutative gauge theories corresponding to unstable non-BPS solitons. In the two-dimensional euclidean (or 2+1 dimensional lorentzian) U(1) theory we find localized solutions carrying nonzero magnetic flux. In four euclidean dimensions we find non-BPS solutions with the same Pontrjagin charge but greater energy than the usual self-dual Yang-Mills instanton. We conjecture that these solutions and generalizations thereof correspond to nonsupersymmetric configurations of D-(p-2k) branes (or intersections thereof) in a D-p brane in the noncommutative scaling limit of large B-field. In the particular case of a 0-brane on a 2-brane the analysis of small fluctuations reveals an infinite tower of states which agrees exactly with that of the 0-2 CFT in the scaling limit. The spectrum contains a tachyon, and we show explicitly that the endpoint of tachyon condensation corresponds to the 0-brane dissolved in the 2-brane.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

A Holographic Model of the Kondo Effect
hep-th 2013-10 conditional novelty 6.0 of 10

A bottom-up AdS/CFT construction combining an AdS3 Chern-Simons field with an AdS2 holographic superconductor reproduces the large-N Kondo effect's dynamical scale, mean-field transition, impurity screening, and phase shift.
Intersecting branes and a standard model realization in matrix models
hep-th 2011-07 conditional novelty 6.0 of 10

Intersecting noncommutative branes in the IKKT matrix model produce localized chiral fermions, and a four-D7-brane configuration reproduces the Standard Model chiral spectrum with generation number set by fluxes.
BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field
hep-th 2000-12 accept novelty 6.0 of 10

A constant B-field makes the D0-D6 system supersymmetric on a codimension-one locus, and a BPS bound state exists on only one side of that locus, so the number of 1/8 BPS states in a T^6 compactification jumps with th...
Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
hep-th 2006-03 conditional novelty 4.0 of 10

A doctoral thesis compiling and extending results on non-anticommutative field theory and twistor geometry, establishing Penrose-Ward correspondences and matrix-model equivalences with ADHM and Nahm equations.
Tachyon Dynamics in Open String Theory
hep-th 2004-10 accept novelty 2.0 of 10

A comprehensive review of open string tachyon condensation argues that unstable D-brane dynamics is captured by an internally consistent open string field theory without explicit closed-string coupling.

Show 1 more citing papers

Noncommutative Field Theory
hep-th 2001-06 accept novelty 2.0 of 10

Noncommutative field theory is a coherent generalization of ordinary field theory with its own solitons, UV/IR mixing, and string-theoretic origin, surveyed here in full.

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5 arXiv papers cite this in 6 sentences

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For $g̃ →∞$, our solutions collapse to the flux- tube (fluxon) solutions discussed in [ref] ; whereas, for $θ→∞$, the action gets a contribution only from the potential term, and our vortex solution collapses to a noncommutative soliton solution of the type first discussed in [ref] .

Noncommutative Vortices and Flux-Tubes from Yang-Mills Theories with Spontaneously Generated Fuzzy Extra Dimensions · Case 1: The constraint fully imposed · 0.90

Cites it as background 3 papers

Detailed investigations of noncommutative gauge theories have led to the discovery of localized static classical solutions in noncommutative spaces [ref] .

Topics in Noncommutative Gauge Theories and Deformed Relativistic Theories · Introduction · 0.91
Detailed investigations of noncommutative gauge theories have led to the discovery of localized static classical solutions in noncommutative spaces [ref] .

Noncommutative Vortices and Instantons from Generalized Bose Operators · Introduction · 0.81
Thus, not only as the simplest field theories in quantum spacetime but also as toy models of string theory, various perturbative and non-perturbative aspects such as unitarity [ref] , causality [ref] , UV-IR mixing [ref] , renormalizability [ref] , scalar solitons [ref] , instantons [ref] , monopoles [ref] , and other solitonic solutions [ref] have extensively been analyzed.

Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories · Introduction · 0.96

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