INFINITE-DIMENSIONAL SYMMETRIES OF THE TWISTOR STRING MODELS

Uvarov D. V.

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It is shown that similarly to massless superparticle models, space-time symmetry of the classical action of the Berkovits twistor string is infinite-dimensional. Its superalgebra contains finite-dimensional subalgebra that includes the generators of psl(4|4, R) superalgebra. In quantum theory this infinite-dimensional symmetry breaks down to SL(4|4, R) one.

Keywords: supertwistor, twistor string, infinite-dimensional symmetry, anomaly

References:

[1] Witten E., 2004 Comm. Math. Phys. 252 189, [hep-th/0312171].

[2] Berkovits N., 2004 Phys. Rev. Lett. 93 011601 [hep-th/0402045].

[3] Corn J., Creutzig T. and Dolan L., 2010 J. High Energy Phys. 1010 076 [arXiv:1008.0302 [hep-th]].

[4] Townsend P. K., 1991 Class. Quantum Grav. 8 1231.

[5] Berkovits N. and Witten E., 2004 J. High Energy Phys. 0408 009 [hep-th/0406051].

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[7] Uvarov D. V., 2014 Nucl. Phys. 889 207 [arXiv:1405.7829 [hep-th]].

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Issue: 12, 2014

Series of issue: Issue 12

Pages: 249 — 253

Downloads: 1251