Dergiler / Journal of Naval Sciences and Engineering / 2018 / Cilt: 14 - Sayı: 1

An Alternative Approach to Generate Maxwell Algebras

Sayfa
23–31
Yayın Tarihi
2018-04-30
DOI
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From this method, some Maxwell algebras are constructed.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We present an alternative method to produce Maxwell algebras.
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Temel Bulgular & Veri:We show that D = 4 Maxwell algebras can be obtained by inducing from D = 6 Maxwell-Lorentz algebra.
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Sonuç & Katkı:From this method, some Maxwell algebras are constructed.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lie Algebras · Tensors · Group Extension

Abstract

We present an alternative method to produce Maxwell algebras. We show that D = 4 Maxwell algebras can be obtained by inducing from D = 6 Maxwell-Lorentz algebra. From this method, some Maxwell algebras are constructed.

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Bu Makaleye Atıf Yap

KİBAROĞLU, S., ŞENAY, M., ASLAN, M. (2018). An Alternative Approach to Generate Maxwell Algebras. Journal of Naval Sciences and Engineering, Cilt: 14 - Sayı: 1, 23–31. https://ajindex.com/articles/238098

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Kaynakça (6)

  1. Schrader, R. (1972) "The Maxwell Group and the Quantum Theory of Particles in Classical Homogeneous Electromagnetic Fields", Fortschritte der Physik, vol. 20, pp. 701-734.
  2. Bacry, H., Combe, P., Richard, J. L., (1970) "Group-theoretical analysis of elementary particles in an external electromagnetic field II. The nonrelativistic particle in a constant and uniform field", Il Nuovo Cimento, vol. 70, pp. 289-312.
  3. Bacry, H., Combe, P., Richard, J. L., (1970) "Group-theoretical analysis of elementary particles in an external electromagnetic field", Il Nuovo Cimento, vol. 67, pp. 267-299.
  4. Beckers, J., Hussin, V. (1983) "Minimal electromagnetic coupling schemes. II. Relativistic and nonrelativistic Maxwell groups", J. Math. Phys., vol. 24, pp. 1295. Negro, J., del Olmo, M. A. (1990) "Local realizations of kinematical groups with a constant electromagnetic field. I. The relativistic case", J. Math. Phys., vol. 31, pp. 568. Negro, J., del Olmo, M. A. (1990) "Local realizations of kinematical groups with a constant electromagnetic field. II. The nonrelativistic case", J. Math. Phys., 31, pp. 2811. Soroka, D.V., Soroka, V.A. (2005) "Tensor extension of the Poincare' algebra", Phys.Lett. B, vol. 607, pp. 302-305.
  5. Bonanos, S., Gomis, J. (2009) "A note on the Chevalley–Eilenberg cohomology for the Galilei and Poincaré algebras", J. Phys. A, vol. 42, pp. 145206. Bonanos, S., Gomis, J. (2010) "Infinite Sequence of Poincare Group Extensions: Structure and Dynamics", J. Phys. A, vol. 43, pp. 015201. Gibbons, G.W., Gomis, J., Pope, C.N. (2010) "Deforming the Maxwell-Sim Algebra", Phys. Rev. D, vol. 82, pp. 065002. Gomis, J., Kamimura, K., Lukierski, J. (2009) "Deformations of Maxwell algebra and their Dynamical Realizations", JHEP, vol. 08, pp. 39. Salgado, P., Salgado S. (2013) "so(D−1,1)⊕so(D−1,2) algebras and gravity", Physics Letters B, vol. 728, pp. 5-10. de Azcárraga, J.A., Kamimura, K., Lukierski, J. (2011) "Generalized cosmological term from Maxwell symmetries", Phys.Rev. D, vol. 83, pp. 124036. de Azcárraga, J.A., Kamimura, K., Lukierski, J. (2013) "Maxwell symmetries and some applications", Int.J.Mod.Phys.Conf.Ser., vol. 23, pp. 01160. Cebecioğlu, O., Kibaroğlu, S. (2014) "Gauge theory of the Maxwell-Weyl group", Phys. Rev. D, vol. 90, pp. 084053. Cebecioğlu, O., Kibaroğlu, S. (2015) "Maxwell-Affine gauge theory of gravity", Phys. Lett. B, vol. 751, pp. 131-134.
  6. Durka, R., Kowalski-Glikman, J., Szczachor, M. (2011) "Gauged AdS-Maxwell algebra and gravity", Mod.Phys.