"Ramond–Neveu–Schwarz model"의 두 판 사이의 차이

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==introduction==
 
==introduction==
* In January 1971 Pierre Ramond constructed a Dual Resonance Model generalization of the Dirac equation
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* In January 1971 Pierre Ramond constructed A dual model with fermions
 
* Neveu and Schwarz proposed a new bosonic dual model, which we called the ‘dual pion model’, in March 1971
 
* Neveu and Schwarz proposed a new bosonic dual model, which we called the ‘dual pion model’, in March 1971
 
* The two models are recognized as the two sectors of the Ramond–Neveu–Schwarz model
 
* The two models are recognized as the two sectors of the Ramond–Neveu–Schwarz model
* In the Ramond–Neveu–Schwarz (RNS) model one introduces, besides the bosonic oscillators $\alpha_n$, the fermionic oscillators $\psi_r^{\mu}$, where $r$ is integer and half-integer in the Ramond (R) and Neveu–Schwarz (NS) sectors, respectively.
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* In the Ramond–Neveu–Schwarz (RNS) model one introduces, besides the bosonic oscillators <math>\alpha_n</math>, the fermionic oscillators <math>\psi_r^{\mu}</math>, where <math>r</math> is integer and half-integer in the Ramond (R) and Neveu–Schwarz (NS) sectors, respectively.
* This theory had a rich spectrum of states, including both bosons and fermions, and required $d = 10$ spacetime dimensions.
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* This theory had a rich spectrum of states, including both bosons and fermions, and required <math>d = 10</math> spacetime dimensions.
  
 
==background==
 
==background==
17번째 줄: 17번째 줄:
 
* The realization that it could have spacetime supersymmetry was a major advance.
 
* The realization that it could have spacetime supersymmetry was a major advance.
 
* Wess and Zumino extend the world-sheet supersymmetry of the Ramond–Neveu–Schwarz model to four-dimensional field theory
 
* Wess and Zumino extend the world-sheet supersymmetry of the Ramond–Neveu–Schwarz model to four-dimensional field theory
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==related items==
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* [[GSO projection]]
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* [[Dual quark model]]
  
 
[[분류:string theory]]
 
[[분류:string theory]]
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[[분류:migrate]]
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==메타데이터==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q7277278 Q7277278]
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===Spacy 패턴 목록===
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* [{'LOWER': 'rns'}, {'LEMMA': 'formalism'}]
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* [{'LOWER': 'ramond'}, {'OP': '*'}, {'LOWER': 'neveu'}, {'OP': '*'}, {'LOWER': 'schwarz'}, {'LEMMA': 'formalism'}]

2021년 2월 17일 (수) 02:33 기준 최신판

introduction

  • In January 1971 Pierre Ramond constructed A dual model with fermions
  • Neveu and Schwarz proposed a new bosonic dual model, which we called the ‘dual pion model’, in March 1971
  • The two models are recognized as the two sectors of the Ramond–Neveu–Schwarz model
  • In the Ramond–Neveu–Schwarz (RNS) model one introduces, besides the bosonic oscillators \(\alpha_n\), the fermionic oscillators \(\psi_r^{\mu}\), where \(r\) is integer and half-integer in the Ramond (R) and Neveu–Schwarz (NS) sectors, respectively.
  • This theory had a rich spectrum of states, including both bosons and fermions, and required \(d = 10\) spacetime dimensions.

background

  • Lovelace and Shapiro : the scattering amplitude of four pions to the construction of dual models
  • Neveu and Schwarz : extending the Lovelace–Shapiro amplitude to an arbitrary number of pions, that is, for the scattering of particles with internal symmetry and with spin.
  • The Ramond and Neveu–Schwarz models were soon recognized as the two sectors, fermionic and bosonic, of the same model, called the Ramond–Neveu–Schwarz (RNS) model.
  • The spectrum contains both fermions and bosons, and is much richer than that of the dual resonance model. Unfortunately, it still contains a tachyon.

supersymmetry

  • It was soon recognized, first by Gervais and Sakita, that the RNS model had a new kind of symmetry relating bosons and fermions. This was the first occurrence of supersymmetry.
  • There is an equal number of bosons and fermions at every mass level. This was compelling evidence (though not a proof) for ‘ten-dimensional spacetime supersymmetry’ of the GSO-projected theory.
  • The realization that it could have spacetime supersymmetry was a major advance.
  • Wess and Zumino extend the world-sheet supersymmetry of the Ramond–Neveu–Schwarz model to four-dimensional field theory


related items

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'rns'}, {'LEMMA': 'formalism'}]
  • [{'LOWER': 'ramond'}, {'OP': '*'}, {'LOWER': 'neveu'}, {'OP': '*'}, {'LOWER': 'schwarz'}, {'LEMMA': 'formalism'}]