Abstract
We describe the worldvolume for the bosonic sector of the lower-dimensional F-theory that embeds 5D, N=1 M-theory and the 4D type II superstring. This theory is a complexification of the fundamental 5-brane theory that embeds the 4D, N=1 M-theory of the 3D type II string in a sense that we make explicit at the level of the Lagrangian and Hamiltonian formulations. We find three types of section condition: in spacetime, on the worldvolume, and one tying them together. The 5-brane theory is recovered from the new theory by a double dimensional reduction.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. Poláček and W. Siegel, T-duality off shell in 3D Type II superspace, JHEP 06 (2014) 107 [arXiv:1403.6904] [INSPIRE].
W. D. Linch III and W. Siegel, F-theory Superspace, arXiv:1501.02761 [INSPIRE].
W. D. Linch III and W. Siegel, F-theory from Fundamental Five-branes, JHEP 02 (2021) 047 [arXiv:1502.00510] [INSPIRE].
D. Kutasov and E. J. Martinec, M-branes and N = 2 strings, Class. Quant. Grav. 14 (1997) 2483 [hep-th/9612102] [INSPIRE].
D. Kutasov, E. J. Martinec and M. O’Loughlin, Vacua of M-theory and N = 2 strings, Nucl. Phys. B 477 (1996) 675 [hep-th/9603116] [INSPIRE].
D. Kutasov and E. J. Martinec, New principles for string/membrane unification, Nucl. Phys. B 477 (1996) 652 [hep-th/9602049] [INSPIRE].
W. Siegel, Two vierbein formalism for string inspired axionic gravity, Phys. Rev. D 47 (1993) 5453 [hep-th/9302036] [INSPIRE].
W. Siegel, Superspace duality in low-energy superstrings, Phys. Rev. D 48 (1993) 2826 [hep-th/9305073] [INSPIRE].
W. Siegel, Manifest duality in low-energy superstrings, in International Conference on Strings 93, (1993) [hep-th/9308133] [INSPIRE].
D. S. Berman, H. Godazgar, M. Godazgar and M. J. Perry, The Local symmetries of M-theory and their formulation in generalised geometry, JHEP 01 (2012) 012 [arXiv:1110.3930] [INSPIRE].
A. Coimbra, C. Strickland-Constable and D. Waldram, Ed(d) × ℝ+ generalised geometry, connections and M-theory, JHEP 02 (2014) 054 [arXiv:1112.3989] [INSPIRE].
D. S. Berman, M. Cederwall, A. Kleinschmidt and D. C. Thompson, The gauge structure of generalised diffeomorphisms, JHEP 01 (2013) 064 [arXiv:1208.5884] [INSPIRE].
D. Iwanenko and L. Landau, Zur theorie des magnetischen elektrons, I, Z. Phys. 48 (1928) 340.
C. Lanczos, Die tensoranalytischen Beziehungen der Diracschen Gleichung, Z. Phys. 57 (1929) 447 [physics/0508002] [INSPIRE].
A. W. Conway, Quaternion treatment of the relativistic wave equation, Proc. Roy. Soc. Lond. A 162 (1937) 145 [INSPIRE].
E. Kähler, Der innere Differentialkalkül, Rend. Mat. 21 (1962) 425.
T. Kugo and B. Zwiebach, Target space duality as a symmetry of string field theory, Prog. Theor. Phys. 87 (1992) 801 [hep-th/9201040] [INSPIRE].
D. S. Berman and R. Otsuki, Reductions of Exceptional Field Theories, JHEP 03 (2020) 066 [arXiv:1911.06150] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 1503.00940
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Linch, W.D., Siegel, W. F-theory with worldvolume sectioning. J. High Energ. Phys. 2021, 22 (2021). https://doi.org/10.1007/JHEP04(2021)022
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2021)022