Abstract
Intersecting D-brane models and their T-dual magnetic compactifications provide an attractive framework for particle physics, allowing for chiral fermions and supersymmetry breaking. Generically, magnetic compactifications have tachyons that are usually removed by Wilson lines. However, quantum corrections prevent local minima for Wilson lines. We therefore study tachyon condensation in the simplest case, the magnetic compactification of type I string theory on a torus to eight dimensions. We find that tachyon condensation restores supersymmetry, which is broken by the magnetic flux, and we compute the Kaluza-Klein mass spectrum. The gauge group SO(32) is broken to USp(16). We give arguments that the vacuum reached by tachyon condensation corresponds to the unique 8d superstring theory already known in the literature, with discrete Bab background or, in the T-dual version, the type IIB orientifold with three O7−-planes, one O7+-plane and eight D7-branes coincident with the O7+-plane. The ground state after tachyon condensation is supersymmetric and has no chiral fermions.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
L.E. Ibáñez and A.M. Uranga, String theory and particle physics: An introduction to string phenomenology, Cambridge University Press (2012) [INSPIRE].
C. Angelantonj and A. Sagnotti, Open strings, Phys. Rept. 371 (2002) 1 [Erratum ibid. 376 (2003) 407] [hep-th/0204089] [INSPIRE].
R. Blumenhagen, B. Körs, D. Lüst and S. Stieberger, Four-dimensional String Compactifications with D-branes, Orientifolds and Fluxes, Phys. Rept. 445 (2007) 1 [hep-th/0610327] [INSPIRE].
N. Arkani-Hamed and S. Dimopoulos, Supersymmetric unification without low energy supersymmetry and signatures for fine-tuning at the LHC, JHEP 06 (2005) 073 [hep-th/0405159] [INSPIRE].
G.F. Giudice and A. Romanino, Split supersymmetry, Nucl. Phys. B 699 (2004) 65 [Erratum ibid. 706 (2005) 487] [hep-ph/0406088] [INSPIRE].
I. Antoniadis and S. Dimopoulos, Splitting supersymmetry in string theory, Nucl. Phys. B 715 (2005) 120 [hep-th/0411032] [INSPIRE].
W. Buchmüller, M. Dierigl, F. Ruehle and J. Schweizer, Split symmetries, Phys. Lett. B 750 (2015) 615 [arXiv:1507.06819] [INSPIRE].
C. Bachas, A Way to break supersymmetry, hep-th/9503030 [INSPIRE].
A. Abouelsaood, C.G. Callan Jr., C.R. Nappi and S.A. Yost, Open Strings in Background Gauge Fields, Nucl. Phys. B 280 (1987) 599 [INSPIRE].
R. Blumenhagen, L. Görlich, B. Körs and D. Lüst, Noncommutative compactifications of type-I strings on tori with magnetic background flux, JHEP 10 (2000) 006 [hep-th/0007024] [INSPIRE].
C. Angelantonj, I. Antoniadis, E. Dudas and A. Sagnotti, Type I strings on magnetized orbifolds and brane transmutation, Phys. Lett. B 489 (2000) 223 [hep-th/0007090] [INSPIRE].
M. Berkooz, M.R. Douglas and R.G. Leigh, Branes intersecting at angles, Nucl. Phys. B 480 (1996) 265 [hep-th/9606139] [INSPIRE].
G. Aldazabal, S. Franco, L.E. Ibáñez, R. Rabadán and A.M. Uranga, D = 4 chiral string compactifications from intersecting branes, J. Math. Phys. 42 (2001) 3103 [hep-th/0011073] [INSPIRE].
G. Aldazabal, S. Franco, L.E. Ibáñez, R. Rabadán and A.M. Uranga, Intersecting brane worlds, JHEP 02 (2001) 047 [hep-ph/0011132] [INSPIRE].
L.E. Ibáñez, F. Marchesano and R. Rabadán, Getting just the standard model at intersecting branes, JHEP 11 (2001) 002 [hep-th/0105155] [INSPIRE].
R. Blumenhagen, B. Körs, D. Lüst and T. Ott, The standard model from stable intersecting brane world orbifolds, Nucl. Phys. B 616 (2001) 3 [hep-th/0107138] [INSPIRE].
M. Cvetič, G. Shiu and A.M. Uranga, Chiral four-dimensional N = 1 supersymmetric type 2A orientifolds from intersecting D6 branes, Nucl. Phys. B 615 (2001) 3 [hep-th/0107166] [INSPIRE].
W. Buchmüller, E. Dudas and Y. Tatsuta, Quantum corrections for D-brane models with broken supersymmetry, JHEP 12 (2019) 022 [arXiv:1909.03007] [INSPIRE].
I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor, Duality in superstring compactifications with magnetic field backgrounds, Nucl. Phys. B 511 (1998) 611 [hep-th/9708075] [INSPIRE].
K. Hashimoto and S. Nagaoka, Recombination of intersecting D-branes by local tachyon condensation, JHEP 06 (2003) 034 [hep-th/0303204] [INSPIRE].
F.T.J. Epple and D. Lüst, Tachyon condensation for intersecting branes at small and large angles, Fortsch. Phys. 52 (2004) 367 [hep-th/0311182] [INSPIRE].
A. Sen, Tachyon dynamics in open string theory, Int. J. Mod. Phys. A 20 (2005) 5513 [hep-th/0410103] [INSPIRE].
M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517 [INSPIRE].
M. Bianchi and A. Sagnotti, Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519 [INSPIRE].
N. Marcus, A. Sagnotti and W. Siegel, Ten-dimensional Supersymmetric Yang-Mills Theory in Terms of Four-dimensional Superfields, Nucl. Phys. B 224 (1983) 159 [INSPIRE].
N. Arkani-Hamed, T. Gregoire and J.G. Wacker, Higher dimensional supersymmetry in 4-D superspace, JHEP 03 (2002) 055 [hep-th/0101233] [INSPIRE].
J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton, NJ, U.S.A. (1992).
W. Buchmüller, M. Dierigl and E. Dudas, Flux compactifications and naturalness, JHEP 08 (2018) 151 [arXiv:1804.07497] [INSPIRE].
L.-F. Li, Group Theory of the Spontaneously Broken Gauge Symmetries, Phys. Rev. D 9 (1974) 1723 [INSPIRE].
H. Georgi, Lie algebras in particle physics. From isospin to unified theories, Front. Phys. 54 (1982) 1 [INSPIRE].
H.M. Lee, H.P. Nilles and M. Zucker, Spontaneous localization of bulk fields: The Six-dimensional case, Nucl. Phys. B 680 (2004) 177 [hep-th/0309195] [INSPIRE].
W. Buchmüller, M. Dierigl and Y. Tatsuta, Magnetized orbifolds and localized flux, Annals Phys. 401 (2019) 91 [arXiv:1810.06362] [INSPIRE].
D. Cremades, L.E. Ibáñez and F. Marchesano, Computing Yukawa couplings from magnetized extra dimensions, JHEP 05 (2004) 079 [hep-th/0404229] [INSPIRE].
E. Dudas, J. Mourad and A. Sagnotti, Charged and uncharged D-branes in various string theories, Nucl. Phys. B 620 (2002) 109 [hep-th/0107081] [INSPIRE].
E. Witten, Small instantons in string theory, Nucl. Phys. B 460 (1996) 541 [hep-th/9511030] [INSPIRE].
M.R. Douglas, Branes within branes, NATO Sci. Ser. C 520 (1999) 267 [hep-th/9512077] [INSPIRE].
C. Angelantonj, C. Condeescu, E. Dudas and G. Pradisi, Non-perturbative transitions among intersecting-brane vacua, JHEP 07 (2011) 123 [arXiv:1105.3465] [INSPIRE].
M. Bianchi, G. Pradisi and A. Sagnotti, Toroidal compactification and symmetry breaking in open string theories, Nucl. Phys. B 376 (1992) 365 [INSPIRE].
M. Bianchi, A note on toroidal compactifications of the type-I superstring and other superstring vacuum configurations with sixteen supercharges, Nucl. Phys. B 528 (1998) 73 [hep-th/9711201] [INSPIRE].
E. Witten, Toroidal compactification without vector structure, JHEP 02 (1998) 006 [hep-th/9712028] [INSPIRE].
S. Chaudhuri, G. Hockney and J.D. Lykken, Maximally supersymmetric string theories in D < 10, Phys. Rev. Lett. 75 (1995) 2264 [hep-th/9505054] [INSPIRE].
M. Bianchi, E. Gava, J.F. Morales and K.S. Narain, D strings in unconventional type-I vacuum configurations, Nucl. Phys. B 547 (1999) 96 [hep-th/9811013] [INSPIRE].
R. Blumenhagen, B. Körs and D. Lüst, Type I strings with F flux and B flux, JHEP 02 (2001) 030 [hep-th/0012156] [INSPIRE].
C. Bachas, M. Bianchi, R. Blumenhagen, D. Lüst and T. Weigand, Comments on Orientifolds without Vector Structure, JHEP 08 (2008) 016 [arXiv:0805.3696] [INSPIRE].
T.T. Wu and C.N. Yang, Concept of Nonintegrable Phase Factors and Global Formulation of Gauge Fields, Phys. Rev. D 12 (1975) 3845 [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: 2010.10891
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
Buchmuller, W., Dudas, E. & Tatsuta, Y. Tachyon condensation in magnetic compactifications. J. High Energ. Phys. 2021, 70 (2021). https://doi.org/10.1007/JHEP03(2021)070
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2021)070