Integrability of generalised type II defects in affine Toda field theory
Abstract The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect. For defects in affine Toda field theories (ATFTs) it is shown...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bristow, Rebecca [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2017 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of high energy physics - Berlin : Springer, 1997, 2017(2017), 11 vom: 13. Nov. |
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| Übergeordnetes Werk: |
volume:2017 ; year:2017 ; number:11 ; day:13 ; month:11 |
| Links: |
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| DOI / URN: |
10.1007/JHEP11(2017)067 |
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| Katalog-ID: |
SPR030525780 |
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10.1007/JHEP11(2017)067 doi (DE-627)SPR030525780 (SPR)JHEP11(2017)067-e DE-627 ger DE-627 rakwb eng Bristow, Rebecca verfasserin aut Integrability of generalised type II defects in affine Toda field theory 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2017 Abstract The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect. For defects in affine Toda field theories (ATFTs) it is shown that momentum conservation is very likely to be a necessary condition for integrability. The defect Lax matrices which guarantee zero curvature, and so an infinite number of conserved quantities, are calculated for the momentum conserving Tzitzéica defect and the momentum conserving D4 ATFT defect. Some additional calculations pertaining to the D4 defect are also carried out to find a more complete set of defect potentials than has appeared previously. Integrable Field Theories (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2017(2017), 11 vom: 13. Nov. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2017 year:2017 number:11 day:13 month:11 https://dx.doi.org/10.1007/JHEP11(2017)067 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2017 2017 11 13 11 |
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10.1007/JHEP11(2017)067 doi (DE-627)SPR030525780 (SPR)JHEP11(2017)067-e DE-627 ger DE-627 rakwb eng Bristow, Rebecca verfasserin aut Integrability of generalised type II defects in affine Toda field theory 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2017 Abstract The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect. For defects in affine Toda field theories (ATFTs) it is shown that momentum conservation is very likely to be a necessary condition for integrability. The defect Lax matrices which guarantee zero curvature, and so an infinite number of conserved quantities, are calculated for the momentum conserving Tzitzéica defect and the momentum conserving D4 ATFT defect. Some additional calculations pertaining to the D4 defect are also carried out to find a more complete set of defect potentials than has appeared previously. Integrable Field Theories (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2017(2017), 11 vom: 13. Nov. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2017 year:2017 number:11 day:13 month:11 https://dx.doi.org/10.1007/JHEP11(2017)067 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2017 2017 11 13 11 |
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10.1007/JHEP11(2017)067 doi (DE-627)SPR030525780 (SPR)JHEP11(2017)067-e DE-627 ger DE-627 rakwb eng Bristow, Rebecca verfasserin aut Integrability of generalised type II defects in affine Toda field theory 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2017 Abstract The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect. For defects in affine Toda field theories (ATFTs) it is shown that momentum conservation is very likely to be a necessary condition for integrability. The defect Lax matrices which guarantee zero curvature, and so an infinite number of conserved quantities, are calculated for the momentum conserving Tzitzéica defect and the momentum conserving D4 ATFT defect. Some additional calculations pertaining to the D4 defect are also carried out to find a more complete set of defect potentials than has appeared previously. Integrable Field Theories (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2017(2017), 11 vom: 13. Nov. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2017 year:2017 number:11 day:13 month:11 https://dx.doi.org/10.1007/JHEP11(2017)067 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2017 2017 11 13 11 |
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10.1007/JHEP11(2017)067 doi (DE-627)SPR030525780 (SPR)JHEP11(2017)067-e DE-627 ger DE-627 rakwb eng Bristow, Rebecca verfasserin aut Integrability of generalised type II defects in affine Toda field theory 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2017 Abstract The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect. For defects in affine Toda field theories (ATFTs) it is shown that momentum conservation is very likely to be a necessary condition for integrability. The defect Lax matrices which guarantee zero curvature, and so an infinite number of conserved quantities, are calculated for the momentum conserving Tzitzéica defect and the momentum conserving D4 ATFT defect. Some additional calculations pertaining to the D4 defect are also carried out to find a more complete set of defect potentials than has appeared previously. Integrable Field Theories (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2017(2017), 11 vom: 13. Nov. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2017 year:2017 number:11 day:13 month:11 https://dx.doi.org/10.1007/JHEP11(2017)067 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2017 2017 11 13 11 |
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10.1007/JHEP11(2017)067 doi (DE-627)SPR030525780 (SPR)JHEP11(2017)067-e DE-627 ger DE-627 rakwb eng Bristow, Rebecca verfasserin aut Integrability of generalised type II defects in affine Toda field theory 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2017 Abstract The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect. For defects in affine Toda field theories (ATFTs) it is shown that momentum conservation is very likely to be a necessary condition for integrability. The defect Lax matrices which guarantee zero curvature, and so an infinite number of conserved quantities, are calculated for the momentum conserving Tzitzéica defect and the momentum conserving D4 ATFT defect. Some additional calculations pertaining to the D4 defect are also carried out to find a more complete set of defect potentials than has appeared previously. Integrable Field Theories (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2017(2017), 11 vom: 13. Nov. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2017 year:2017 number:11 day:13 month:11 https://dx.doi.org/10.1007/JHEP11(2017)067 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2017 2017 11 13 11 |
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integrability of generalised type ii defects in affine toda field theory |
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Integrability of generalised type II defects in affine Toda field theory |
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Abstract The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect. For defects in affine Toda field theories (ATFTs) it is shown that momentum conservation is very likely to be a necessary condition for integrability. The defect Lax matrices which guarantee zero curvature, and so an infinite number of conserved quantities, are calculated for the momentum conserving Tzitzéica defect and the momentum conserving D4 ATFT defect. Some additional calculations pertaining to the D4 defect are also carried out to find a more complete set of defect potentials than has appeared previously. © The Author(s) 2017 |
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Abstract The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect. For defects in affine Toda field theories (ATFTs) it is shown that momentum conservation is very likely to be a necessary condition for integrability. The defect Lax matrices which guarantee zero curvature, and so an infinite number of conserved quantities, are calculated for the momentum conserving Tzitzéica defect and the momentum conserving D4 ATFT defect. Some additional calculations pertaining to the D4 defect are also carried out to find a more complete set of defect potentials than has appeared previously. © The Author(s) 2017 |
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Abstract The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect. For defects in affine Toda field theories (ATFTs) it is shown that momentum conservation is very likely to be a necessary condition for integrability. The defect Lax matrices which guarantee zero curvature, and so an infinite number of conserved quantities, are calculated for the momentum conserving Tzitzéica defect and the momentum conserving D4 ATFT defect. Some additional calculations pertaining to the D4 defect are also carried out to find a more complete set of defect potentials than has appeared previously. © The Author(s) 2017 |
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