T-duality as permutation of coordinates in double space

B. Sazdovi?

doi:10.1088/1674-1137/41/5/053101

Chinese Physics C> 2017, Vol. 41> Issue(5) : 053101 DOI: 10.1088/1674-1137/41/5/053101

T-duality as permutation of coordinates in double space

B. Sazdovi?

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We introduce the 2D dimensional double space with the coordinates Z^M= (x^μ, y_μ), whose components are the coordinates of initial space x^μ and its T-dual y_μ. We shall show that in this extended space the T-duality transformations can be realized simply by exchanging the places of some coordinates x^a, along which we want to perform T-duality, and the corresponding dual coordinates y_a. In such an approach it is evident that T-duality leads to the physically equivalent theory and that a complete set of T-duality transformations forms a subgroup of the 2D permutation group. So, in double space we are able to represent the backgrounds of all T-dual theories in a unified manner.
- T-duality ,
- double space ,
- string theory

References

[1]	T. Buscher, Phys. Lett. B, 194: 59 (1987); 201: 466 (1988)
[2]	M. Roček and E. Verlinde, Nucl. Phys. B, 373: 630 (1992)
[3]	A. Giveon, M. Porrati, and E. Rabinovici, Phys. Rep., 244: 77 (1994)
[4]	E. Alvarez, L. Alvarez-Gaume, J. Barbon, and Y. Lozano, Nuc. Phys. B, 415: 71 (1994)
[5]	Lj. Davidović and B. Sazdović, EPJ C, 74 2683 (2014).
[6]	D. Lust, JHEP, 12: 084 (2010)
[7]	D. Andriot, M. Larfors, D. Lust, and P. Patalong, JHEP, 06: 021 (2013)
[8]	Lj. Davidović, B. Nikolić, and B. Sazdović, EPJ C, 74: 2734 (2014)
[9]	Lj. Davidović, B. Nikolić, and B. Sazdović, Eur. Phys. J. C, 75: 576 (2015) arXiv: 1406.5364
[10]	B. Sazdović, JHEP, 08: 055 (2015)
[11]	M. Duff, Nucl. Phys. B, 335: 610 (1990)
[12]	A. A. Tseytlin, Phys. Lett. B, 242: 163 (1990)
[13]	A. A. Tseytlin, Nucl. Phys. B, 350: 395 (1991)
[14]	W. Siegel, Phys. Rev. D, 48: 2826 (1993)
[15]	W. Siegel, Phys. Rev. D, 47: 5453 (1993)
[16]	C. M. Hull, JHEP, 10: 065 (2005)
[17]	C. M. Hull, JHEP, 10: 057 (2007); 07: 080 (2007)
[18]	K. Becker, M. Becker, and J. Schwarz, String Theory and M-Theory: A Modern Introduction; B. Zwiebach, A First Course in String Theory (Cambridge University Press, 2004)
[19]	C. Hull, B. Zwiebach, JHEP, 09: 099 (2009); JHEP, 09: 090 (2009)
[20]	O. Hohm, C. Hull, and B. Zwiebach, JHEP, 08: 008 (2010)
[21]	G. Aldazabal, D. Marques, and C. Nunez, Class.Quant.Grav., 30: 163001 (2013)
[22]	D. S. Berman and D. C. Thompson, arXiv:1306.2643
[23]	A. Giveon and M. Roček, Nucl. Phys. B, 421: 173 (1994)
[24]	B. Nikolić and B. Sazdović, Nucl. Phys. B, 836 (2010) 100
[25]	B. Nikolić, B. Sazdović, Eur. Phys. J C, 77: 197 (2017) arXiv:1505.06044
[26]	C. M. Hull, JHEP 07: 021 (1998)
[27]	B. Nikolić, B. Sazdović, Nucl. Phys. B. 917: 105 (2017) arXiv:1603.05061

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B. Sazdovi?. T-duality as permutation of coordinates in double space[J]. Chinese Physics C, 2017, 41(5): 053101. doi: 10.1088/1674-1137/41/5/053101

B. Sazdovi?. T-duality as permutation of coordinates in double space[J]. Chinese Physics C, 2017, 41(5): 053101. doi: 10.1088/1674-1137/41/5/053101 shu

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Received: 2016-12-09
Revised: 2017-01-23

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Supported by the Serbian Ministry of Education and Science (171031)

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

T-duality as permutation of coordinates in double space

Received Date: 2016-12-09

Accepted Date: 2017-01-23

Available Online: 2017-05-05

Fund Project: Supported by the Serbian Ministry of Education and Science (171031)

Abstract: We introduce the 2D dimensional double space with the coordinates Z^M= (x^μ, y_μ), whose components are the coordinates of initial space x^μ and its T-dual y_μ. We shall show that in this extended space the T-duality transformations can be realized simply by exchanging the places of some coordinates x^a, along which we want to perform T-duality, and the corresponding dual coordinates y_a. In such an approach it is evident that T-duality leads to the physically equivalent theory and that a complete set of T-duality transformations forms a subgroup of the 2D permutation group. So, in double space we are able to represent the backgrounds of all T-dual theories in a unified manner.

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T-duality as permutation of coordinates in double space

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