- Open Access
- Access by Xinjiang University
Tensionless/strong-field limit of M5-brane and conformal symmetry of its bosonic body
Phys. Rev. D 114, 066010 – Published 16 September, 2026
DOI: https://doi.org/10.1103/12vq-hsx1
Abstract
We obtain a tensionless limit of the M-theory 5-brane action and discuss its properties. The consistency of this limit requires that the field strength of the 2-form gauge field on the M5 brane worldvolume is nonvanishing and nondegenerate, so that one can also regard it as a strong -field limit. The induced worldvolume metric of this theory is nondegenerate in contrast to conventional tensionless (null) -branes. We find that the tensionless M5-brane action is invariant under a super-Weyl symmetry acting on the bulk supergeometry, while in the purely bosonic case the action is invariant under an 11D target-space conformal symmetry, a property which is characteristic for the tensionless bosonic branes. Upon imposing a static gauge, which fixes worldvolume diffeomorphisms, this 11D conformal symmetry becomes a deformed 6D worldvolume conformal symmetry whose action on the worldvolume coordinates involves field dependent terms. When the transversal fluctuations of the 5-brane in the bulk are zero, the model reduces to the conformal nonlinear chiral 2-form electrodynamics considered earlier by Gibbons and West [J. Math. Phys. (N.Y.) 42, 3188 (2001)] and by Townsend [Proc. R. Soc. A 476, 20190863 (2020)].
Physics Subject Headings (PhySH)
Article Text
References (41)
- G. W. Gibbons and P. C. West, The Metric and strong coupling limit of the M5-brane, J. Math. Phys. (N.Y.) 42, 3188 (2001).
- P. S. Howe and E. Sezgin, D = 11, p = 5, Phys. Lett. B 394, 62 (1997).
- P. S. Howe, E. Sezgin, and P. C. West, Covariant field equations of the M-theory five-brane, Phys. Lett. B 399, 49 (1997).
- P. K. Townsend, An interacting conformal chiral 2-form electrodynamics in six dimensions, Proc. R. Soc. A 476, 20190863 (2020).
- E. Bergshoeff, D. P. Sorokin, and P. K. Townsend, The M5-brane Hamiltonian, Nucl. Phys. B533, 303 (1998).
- I. Bialynicki-Birula, Nonlinear electrodynamics: Variations on a theme by Born and Infeld, In: Quantum Theory Of Particles and Fields: Birthday Volume Dedicated to Jan Lopuszanski, edited by B. Jancewicz and J. Lukierski (World Scientific Publishing Co Pte Ltd, Singapore, 1984), pp. 31–48.
- I. Bialynicki-Birula, Field theory of photon dust, Acta Phys. Pol. B 23, 553 (1992).
- L. Mezincescu and P. K. Townsend, DBI in the IR, J. Phys. A 53, 044002 (2020).
- I. A. Bandos, K. Lechner, A. Y. Nurmagambetov, P. Pasti, D. P. Sorokin, and M. Tonin, Covariant action for the super-five-brane of M-theory, Phys. Rev. Lett. 78, 4332 (1997).
- M. Aganagic, J. Park, C. Popescu, and J. H. Schwarz, World-volume action of the M-theory five-brane, Nucl. Phys. B496, 191 (1997).
- S.-L. Ko, D. Sorokin, and P. Vanichchapongjaroen, The M5-brane action revisited, J. High Energy Phys. 11 (2013) 072.
- J. Bagger and N. Lambert, Modeling multiple M2’s, Phys. Rev. D 75, 045020 (2007).
- A. Gustavsson, Algebraic structures on parallel M2-branes, Nucl. Phys. B811, 66 (2009).
- J. Bagger and N. Lambert, Gauge symmetry and supersymmetry of multiple M2-branes, Phys. Rev. D 77, 065008 (2008).
- J. Bagger, N. Lambert, S. Mukhi, and C. Papageorgakis, Multiple membranes in M-theory, Phys. Rep. 527, 1 (2013).
- P.-M. Ho and Y. Matsuo, M5 from M2, J. High Energy Phys. 06 (2008) 105.
- I. A. Bandos and P. K. Townsend, Light-cone M5 and multiple M2-branes, Classical Quantum Gravity 25, 245003 (2008).
- I. A. Bandos and P. K. Townsend, SDiff gauge theory and the M2 condensate, J. High Energy Phys. 02 (2009) 013.
- P. Pasti, I. Samsonov, D. Sorokin, and M. Tonin, BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D = 6 and M5-branes, Phys. Rev. D 80, 086008 (2009).
- G. Buratti, K. Lechner, and L. Melotti, Self-interacting chiral p-forms in higher dimensions, Phys. Lett. B 798, 135018 (2019).
- M. Perry and J. H. Schwarz, Interacting chiral gauge fields in six dimensions and Born-Infeld theory, Nucl. Phys. B489, 47 (1997).
- P. Pasti, D. P. Sorokin, and M. Tonin, Covariant action for a D = 11 five-brane with the chiral field, Phys. Lett. B 398, 41 (1997).
- I. Bandos, On Lagrangian approach to self-dual gauge fields in spacetime of nontrivial topology, J. High Energy Phys. 08 (2014) 048.
- A. Schild, Classical null strings, Phys. Rev. D 16, 1722 (1977).
- A. Karlhede and U. Lindstrom, The classical bosonic string in the Zero tension limit, Classical Quantum Gravity 3, L73 (1986).
- U. Lindstrom, B. Sundborg, and G. Theodoridis, The Zero tension limit of the superstring, Phys. Lett. B 253, 319 (1991).
- I. A. Bandos and A. A. Zheltukhin, Twistors, harmonics, and zero super-p-branes, Pis’ma Zh. Eksp. Teor. Fiz. 51, 547 (1990) [JETP Lett. 51, 618 (1990)].
- I. A. Bandos and A. A. Zheltukhin, Null super p-branes quantum theory in four-dimensional space-time, Fortschr. Phys. 41, 619 (1993).
- I. A. Bandos, D. P. Sorokin, M. Tonin, and D. V. Volkov, Doubly supersymmetric null strings and string tension generation, Phys. Lett. B 319, 445 (1993).
- I. A. Bandos, J. A. de Azcarraga, and C. Miquel-Espanya, Superspace formulations of the (super)twistor string, J. High Energy Phys. 07 (2006) 005.
- I. Bandos, Twistor/ambitwistor strings and null-superstrings in spacetime of D = 4, 10 and 11 dimensions, J. High Energy Phys. 09 (2014) 086.
- G. W. Gibbons, Aspects of Born-Infeld theory and string / M theory, AIP Conf. Proc. 589, 324 (2001).
- J. D. Qualls, Lectures on conformal field theory, arXiv:1511.04074.
- I. A. Bandos, E. Ivanov, J. Lukierski, and D. Sorokin, On the superconformal flatness of AdS superspaces, J. High Energy Phys. 06 (2002) 040.
- P. Claus, R. Kallosh, J. Kumar, P. K. Townsend, and A. Van Proeyen, Conformal theory of M2, D3, M5 and D1 + D5 branes, J. High Energy Phys. 06 (1998) 004.
- P. Claus, Super M-brane actions in and , Phys. Rev. D 59, 066003 (1999).
- P. Pasti, D. P. Sorokin, and M. Tonin, On gauge-fixed superbrane actions in AdS superbackgrounds, Phys. Lett. B 447, 251 (1999).
- N. Brizio, M. Kade, A. Sfondrini, and D. P. Sorokin, More on -like deformations in higher dimensions, J. High Energy Phys. 06 (2026) 262.
- D. Berman, SL(2, Z) duality of Born-Infeld theory from nonlinear selfdual electrodynamics in six-dimensions, Phys. Lett. B 409, 153 (1997).
- A. Nurmagambetov, Duality symmetric three-brane and its coupling to type IIB supergravity, Phys. Lett. B 436, 289 (1998).
- I. Bandos, K. Lechner, D. Sorokin, and P. K. Townsend, On p-form gauge theories and their conformal limits, J. High Energy Phys. 03 (2021) 022.