Geodesic
The BRST-BV approach to massless fields adapted for the AdS/CFT
Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 2, pp. 323-337 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the framework of the BRST-BV approach to the formulation of relativistic mechanics, we consider massless and massive fields of arbitrary spin propagating in a flat space and massless fields propagating in the AdS space. For such fields, we obtain BRST-BV Lagrangians invariant under gauge transformations. The Lagrangians and gauge transformations are constructed in terms of traceless gauge fields and traceless parameters of the gauge transformations. We consider the fields in the AdS space using the Poincaré parameterization of this space, which leads to a simple form of the BRST-BV Lagrangian. We show that in the Siegel gauge, the Lagrangian of the massless AdS fields leads to a decoupling of the equations of motion, and this substantially simplifies the study of the AdS/CFT correspondence. In a conformal algebra basis, we find a realization of the relativistic symmetries of fields and antifields in the AdS space.
Keywords: BRST symmetry, higher-spin field, AdS/CFT correspondence. 
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     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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}
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R. R. Metsaev. The BRST-BV approach to massless fields adapted for the AdS/CFT. Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 2, pp. 323-337. http://geodesic.mathdoc.fr/item/TMF_2016_187_2_a7/

[1] C. Becchi, A. Rouet, R. Stora, Phys. Lett. B, 52 (1974), 344–346 ; И. В. Тютин, Калибровочная инвариантность в теории поля и статистической физике в операторной формулировке, Препринт ФИАН No 39, ФИАН, М., 1975, arXiv: 0812.0580 | DOI

[2] A. A. Slavnov, TMF, 10:2 (1972), 153–161 ; J. C. Taylor, Nucl. Phys. B, 33:2 (1971), 436–444 | DOI | DOI | MR

[3] W. Siegel, Phys. Lett. B, 149:1–3 (1984), 157–161 ; Phys. Lett. B, 151:5–6 (1985), 391–395 ; A. Neveu, P. C. West, Phys. Lett. B, 168:3 (1986), 192–200 ; H. Hata, K. Itoh, T. Kugo, H. Kunitomo, K. Ogawa, Phys. Rev. D, 34:8 (1986), 2360–2429 | DOI | MR | DOI | MR | DOI | MR | DOI | MR

[4] M. A. Vasiliev, Phys. Lett. B, 243:4 (1990), 378–382 ; M. A. Vasiliev, Phys. Lett. B, 567:1–2 (2003), 139–151, arXiv: hep-th/0304049 | DOI | MR | Zbl | DOI | MR | Zbl

[5] D. Z. Freedman, S. Mathur, A. Matusis, L. Rastelli, Nucl. Phys. B, 546:1–1 (1999), 96–118, arXiv: hep-th/9804058 | DOI | MR | Zbl

[6] H. Liu, A. A. Tseytlin, Nucl. Phys. B, 533:1–3 (1998), 88–108, arXiv: hep-th/9804083 | DOI | MR | Zbl

[7] R. R. Metsaev, Phys. Rev. D, 81:10 (2010), 106002, 29 pp., arXiv: 0907.4678 | DOI | MR

[8] W. Mück, K. S. Viswanathan, Phys. Rev. D, 58:10 (1998), 106006, 7 pp., arXiv: hep-th/9805145 | DOI | MR

[9] A. Polishchuk, JHEP, 07 (1999), 007, 12 pp., arXiv: hep-th/9905048 | DOI | MR

[10] R. R. Metsaev, Phys. Rev. D, 85:12 (2012), 126011, 20 pp., arXiv: 1110.3749 | DOI

[11] R. R. Metsaev, Phys. Rev. D, 83:10 (2011), 106004, 28 pp., arXiv: 1011.4261 | DOI | MR

[12] V. K. Dobrev, Nucl. Phys. B, 553:3 (1999), 559–582, arXiv: ; N. Aizawa, V. K. Dobrev, Rep. Math. Phys., 75:2 (2015), 179–197, arXiv: hep-th/98121941406.2129 | DOI | MR | Zbl | DOI | MR | Zbl

[13] R. R. Metsaev, Phys. Rev. D, 78:10 (2008), 106010, 31 pp., arXiv: 0805.3472 | DOI | MR

[14] R. R. Metsaev, JHEP, 10 (2015), 110, 52 pp., arXiv: 1507.06584 | DOI

[15] V. E. Didenko, E. D. Skvortsov, JHEP, 04 (2013), 158, 27 pp., arXiv: 1210.7963 | DOI | MR

[16] I. Florakis, D. Sorokin, M. Tsulaia, Nucl. Phys. B, 890 (2014), 279–301, arXiv: ; JHEP, 07 (2014), 105, 24 pp., arXiv: ; X. Bekaert, J. Erdmenger, D. Ponomarev, C. Sleight, JHEP, 03 (2015), 170, 52 pp., arXiv: ; JHEP, 11 (2015), 149, 57 pp., arXiv: ; N. Boulanger, P. Kessel, E. D. Skvortsov, M. Taronna, Higher spin interactions in four dimensions: Vasiliev vs. Fronsdal, arXiv: 1408.66751401.16451412.00161508.042921508.04139 | DOI | MR | DOI | DOI | MR | DOI | MR

[17] A. A. Tseytlin, Nucl. Phys. B, 877:2 (2013), 598–631, arXiv: ; M. Beccaria, A. A. Tseytlin, J. Phys. A, 48:27 (2015), 275401, 33 pp., arXiv: ; JHEP, 11 (2014), 114, 46 pp., arXiv: 1309.07851503.081431410.3273 | DOI | MR | Zbl | DOI | MR | Zbl | DOI

[18] R. R. Metsaev, TMF, 181:3 (2014), 495–514, arXiv: 1407.2601 | DOI | MR | Zbl

[19] R. R. Metsaev, Phys. Lett. B, 671:1 (2009), 128–134, arXiv: 0808.3945 | DOI | MR

[20] R. R. Metsaev, Phys. Lett. B, 682:4–5 (2010), 455–461, arXiv: 0907.2207 | DOI | MR

[21] A. K. H. Bengtsson, Class. Quantum Grav., 5:3 (1988), 437–452 ; Nucl. Phys. B, 333:2 (1990), 407–418 | DOI | MR | DOI | MR

[22] I. L. Buchbinder, A. Pashnev, M. Tsulaia, Phys. Lett. B, 523:3–4 (2001), 338–346, arXiv: ; I. L. Buchbinder, V. A. Krykhtin, Nucl. Phys. B, 727:3 (2005), 537–563, arXiv: ; I. L. Buchbinder, V. A. Krykhtin, P. M. Lavrov, Nucl. Phys. B, 762:3 (2007), 344–376, arXiv: hep-th/0109067hep-th/0505092hep-th/0608005 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | MR | Zbl

[23] A. Sagnotti, M. Tsulaia, Nucl. Phys. B, 682:1 (2004), 83–116, arXiv: ; K. B. Alkalaev, M. Grigoriev, I. Tipunin, Nucl. Phys. B, 823:3 (2009), 509–545, arXiv: hep-th/03112570811.3999 | DOI | MR | Zbl | DOI | MR | Zbl

[24] R. R. Metsaev, Nucl. Phys. B, 563:1–2 (1999), 295–348, arXiv: hep-th/9906217 | DOI | MR | Zbl

[25] K. B. Alkalaev, M. Grigoriev, Nucl. Phys. B, 835:1 (2010), 197–220, arXiv: ; Nucl. Phys. B, 853:3 (2011), 663–687, arXiv: ; A. A. Reshetnyak, Phys. Part. Nucl., 41:6 (2010), 976–979, arXiv: ; I. L. Buchbinder, A. Reshetnyak, Nucl. Phys. B, 862:1 (2012), 270–326, arXiv: ; Č. Burdik, A. Reshetnyak, J. Phys.: Conf. Ser., 343:1 (2012), 012102, 27 pp., arXiv: 0910.26901105.61111002.01241110.50441111.5516 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | DOI | MR | Zbl | DOI

[26] N. Boulanger, S. Cnockaert, JHEP, 03 (2004), 031, 16 pp., arXiv: ; X. Bekaert, N. Boulanger, S. Cnockaert, J. Math. Phys., 46:1 (2005), 012303, 33 pp., arXiv: hep-th/0402180hep-th/0407102 | DOI | MR | DOI | MR | Zbl

[27] R. R. Metsaev, Phys. Lett. B, 720:1–3 (2013), 237–243, arXiv: 1205.3131 | DOI | MR

[28] M. Henneaux, G. L. Gomez, R. Rahman, JHEP, 01 (2014), 087, 44 pp., arXiv: ; JHEP, 08 (2012), 093, 43 pp., arXiv: ; P. Dempster, M. Tsulaia, Nucl. Phys. B, 865:2 (2012), 353–375, arXiv: ; M. Taronna, JHEP, 04 (2012), 029, 75 pp., arXiv: ; I. Buchbinder, P. Dempster, M. Tsulaia, Nucl. Phys. B, 877:2 (2013), 260–289, arXiv: ; I. L. Buchbinder, V. A. Krykhtin, Eur. Phys. J. C, 75 (2015), 454, 10 pp., arXiv: 1310.51521206.10481203.55971107.58431308.55391507.03723 | DOI | DOI | MR | DOI | MR | Zbl | DOI | MR | DOI | MR | Zbl | DOI

[29] R. R. Metsaev, Nucl. Phys. B, 885 (2014), 734–771, arXiv: 1404.3712 | DOI | MR | Zbl