Research PapersNo Access

On interpolations between Jordanian twists

D. Meljanac

Division of Materials Physics, Rud̄er Bošković Institute, Bijenička cesta 54, 10002 Zagreb, Croatia

E-mail Address: Daniel.Meljanac@irb.hr

Search for more papers by this author

S. Meljanac

Division of Theoretical Physics, Rud̄er Bošković Institute, Bijenička cesta 54, 10002 Zagreb, Croatia

E-mail Address: meljanac@irb.hr

Search for more papers by this author

Z. Škoda

Department of Teachers’ Education, University of Zadar, Franje Tudjmana 24, 23000 Zadar, Croatia

E-mail Address: zskoda@unizd.hr

Corresponding author.

Search for more papers by this author

, and

R. Štrajn

Department of Electrical Engineering and Computing, University of Dubrovnik, Ćira Carića 4, 20000 Dubrovnik, Croatia

E-mail Address: rina.strajn@unidu.hr

Search for more papers by this author

https://doi.org/10.1142/S0217751X20501602Cited by:0 (Source: Crossref)

Abstract

We consider two families of Drinfeld twists generated from a simple Jordanian twist further twisted with 1-cochains. Using combinatorial identities, they are presented as a series expansion in the dilatation and momentum generators. These twists interpolate between two simple Jordanian twists. For an expansion of a family of twists $ℱ_{L, u}$ , we also show directly that the 2-cocycle condition reduces to previously proven identities.

Keywords:

PACS: 03.30.+p, 03.65.-w

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

1. J. Lukierski, A. Nowicki, H. Ruegg and V. N. Tolstoy, Phys. Lett. B 264, 331 (1991). Crossref, Web of Science, ADS, Google Scholar
2. J. Lukierski, A. Nowicki and H. Ruegg, Phys. Lett. B 293, 344 (1992). Crossref, Web of Science, ADS, Google Scholar
3. V. G. Drinfel’d, Soviet Math. Dokl. 32, 254 (1985). Google Scholar
4. S. Majid, Foundations of Quantum Group Theory (Cambridge University Press, 2000). Google Scholar
5. O. Ogievetsky, Suppl. Rend. Circ. Mat. Palermo Ser. II 37, 185 (1994). Google Scholar
6. V. N. Tolstoy, Bulg. J. Phys. 35, 441 (2008), arXiv:0712.3962. Google Scholar
7. V. N. Tolstoy, Quantum deformations of relativistic symmetries, in Invited talk at the XXII Max Born Symposium “Quantum, Super and Twistors” in Honour of Jerzy Lukierski, Wroclaw, Poland, 27–29 September 2006, arXiv:0704.0081. Google Scholar
8. A. Giaquinto and J. J. Zhang, J. Pure Appl. Alg. 128, 133 (1998), arXiv:hep-th/9411140. Crossref, Web of Science, Google Scholar
9. A. Borowiec and A. Pachoł, Phys. Rev. D 79, 045012 (2009), arXiv:0812.0576. Crossref, Web of Science, ADS, Google Scholar
10. J.-G. Bu, J. H. Yee and H.-C. Kim, Phys. Lett. B 679, 486 (2009), arXiv:0903.0040. Crossref, Web of Science, ADS, Google Scholar
11. D. Meljanac, S. Meljanac, S. Mignemi and R. Štrajn, Phys. Rev. D 99, 126012 (2019), arXiv:1903.08679. Crossref, Web of Science, ADS, Google Scholar
12. S. Meljanac, D. Meljanac, A. Pachoł and D. Pikutić, J. Phys. A 50, 265201 (2017), arXiv:1612.07984. Crossref, ADS, Google Scholar
13. A. Borowiec, S. Meljanac, D. Meljanac and A. Pachoł, SIGMA 15, 054 (2019), arXiv:1812.05535. Google Scholar
14. D. Meljanac, S. Meljanac, Z. Škoda and R. Štrajn, SIGMA 15, 082 (2019), arXiv:1904.03993. Google Scholar
15. D. Meljanac, S. Meljanac, Z. Škoda and R. Štrajn, Interpolations between Jordanian twists, the Poincaré-Weyl algebra and dispersion relations, accepted in Int. J. Mod. Phys. A, arXiv:1911.03967. Google Scholar
16. S. Meljanac, D. Meljanac, F. Mercati and D. Pikutić, Phys. Lett. B 766, 181 (2017), arXiv:1610.06716. Crossref, Web of Science, ADS, Google Scholar
17. D. Meljanac, S. Meljanac, S. Mignemi and R. Štrajn, Int. J. Mod. Phys. A 32, 1750172 (2017), arXiv:1608.06207. Link, Web of Science, ADS, Google Scholar
18. S. Meljanac, D. Meljanac, A. Samsarov and M. Stojić, Mod. Phys. Lett. A 25, 579 (2010), arXiv:0912.5087. Link, Web of Science, ADS, Google Scholar
19. T. R. Govindarajan, K. S. Gupta, E. Harikumar, S. Meljanac and D. Meljanac, Phys. Rev. D 77, 105010 (2008), arXiv:0802.1576. Crossref, Web of Science, ADS, Google Scholar
20. E. Harikumar, T. Jurić and S. Meljanac, Phys. Rev. D 86, 045002 (2012), arXiv:1203.1564. Crossref, Web of Science, ADS, Google Scholar