Abstract
A Double Field Theory (DFT) description of gauge symmetry enhancing-breaking in the heterotic string is presented. The construction, based on previous results for the bosonic string, relies on the extension of the tangent frame of DFT. The fluxes of a Scherk-Schwarz like generalized toroidal compactification are moduli dependent and become identified with the structure constants of the enhanced group at fixed “self-dual” points in moduli space. Slight displacements from such points provide the breaking of the symmetry, gauge bosons acquiring masses proportional to fluxes. The inclusion of fermions is also discussed.
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References
G. Aldazabal, M. Graña, S. Iguri, M. Mayo, C. Nuñez and J.A. Rosabal, Enhanced gauge symmetry and winding modes in Double Field Theory, JHEP 03 (2016) 093 [arXiv:1510.07644] [INSPIRE].
Y. Cagnacci, M. Graña, S. Iguri and C. Nuñez, The bosonic string on string-size tori from double field theory, JHEP 06 (2017) 005 [arXiv:1704.04242] [INSPIRE].
G. Aldazabal, E. Andrés, M. Mayo and J.A. Rosabal, Gauge symmetry enhancing-breaking from a Double Field Theory perspective, JHEP 07 (2017) 045 [arXiv:1704.04427] [INSPIRE].
K.S. Narain, M.H. Sarmadi and E. Witten, A Note on Toroidal Compactification of Heterotic String Theory, Nucl. Phys. B 279 (1987) 369 [INSPIRE].
K.S. Narain, New Heterotic String Theories in Uncompactified Dimensions < 10, Phys. Lett. B 169 (1986) 41 [INSPIRE].
A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory, Phys. Rept. 244 (1994)77 [hep-th/9401139] [INSPIRE].
J. Scherk and J.H. Schwarz, How to Get Masses from Extra Dimensions, Nucl. Phys. B 153 (1979) 61 [INSPIRE].
G. Aldazabal, W. Baron, D. Marqués and C. Nuñez, The effective action of Double Field Theory, JHEP 11 (2011) 052 [Erratum ibid. 11 (2011) 109] [arXiv:1109.0290] [INSPIRE].
D. Geissbuhler, Double Field Theory and N = 4 Gauged Supergravity, JHEP 11 (2011) 116 [arXiv:1109.4280] [INSPIRE].
W. Siegel, Superspace duality in low-energy superstrings, Phys. Rev. D 48 (1993) 2826 [hep-th/9305073] [INSPIRE].
W. Siegel, Two vierbein formalism for string inspired axionic gravity, Phys. Rev. D 47 (1993) 5453 [hep-th/9302036] [INSPIRE].
C. Hull and B. Zwiebach, Double Field Theory, JHEP 09 (2009) 099 [arXiv:0904.4664] [INSPIRE].
O. Hohm, C. Hull and B. Zwiebach, Background independent action for double field theory, JHEP 07 (2010) 016 [arXiv:1003.5027] [INSPIRE].
O. Hohm, C. Hull and B. Zwiebach, Generalized metric formulation of double field theory, JHEP 08 (2010) 008 [arXiv:1006.4823] [INSPIRE].
G. Aldazabal, D. Marqués and C. Nuñez, Double Field Theory: A Pedagogical Review, Class. Quant. Grav. 30 (2013) 163001 [arXiv:1305.1907] [INSPIRE].
M. Graña and D. Marqués, Gauged Double Field Theory, JHEP 04 (2012) 020 [arXiv:1201.2924] [INSPIRE].
O. Hohm, D. Lüst and B. Zwiebach, The Spacetime of Double Field Theory: Review, Remarks and Outlook, Fortsch. Phys. 61 (2013) 926 [arXiv:1309.2977] [INSPIRE].
J. Schon and M. Weidner, Gauged N = 4 supergravities, JHEP 05 (2006) 034 [hep-th/0602024] [INSPIRE].
H. Samtleben, Lectures on Gauged Supergravity and Flux Compactifications, Class. Quant. Grav. 25 (2008) 214002 [arXiv:0808.4076] [INSPIRE].
M. Trigiante, Gauged Supergravities, Phys. Rept. 680 (2017) 1 [arXiv:1609.09745] [INSPIRE].
E. Bergshoeff, I.G. Koh and E. Sezgin, Coupling of Yang-Mills to N = 4, D = 4 Supergravity, Phys. Lett. B 155 (1985) 71 [INSPIRE].
J. Shelton, W. Taylor and B. Wecht, Nongeometric flux compactifications, JHEP 10 (2005) 085 [hep-th/0508133] [INSPIRE].
G. Aldazabal, P.G. Cámara, A. Font and L.E. Ibáñez, More dual fluxes and moduli fixing, JHEP 05 (2006) 070 [hep-th/0602089] [INSPIRE].
G. Aldazabal, E. Andrés, P.G. Cámara and M. Graña, U-dual fluxes and Generalized Geometry, JHEP 11 (2010) 083 [arXiv:1007.5509] [INSPIRE].
E. Bergshoeff, T. de Wit, U. Gran, R. Linares and D. Roest, (Non)Abelian gauged supergravities in nine-dimensions, JHEP 10 (2002) 061 [hep-th/0209205] [INSPIRE].
J.J. Fernandez-Melgarejo, T. Ortín and E. Torrente-Lujan, The general gaugings of maximal D = 9 supergravity, JHEP 10 (2011) 068 [arXiv:1106.1760] [INSPIRE].
E. Malek, Half-maximal supersymmetry from exceptional field theory, arXiv:1707.00714 [INSPIRE].
E. Malek, From Exceptional Field Theory to Heterotic Double Field Theory via K3, JHEP 03 (2017) 057 [arXiv:1612.01990] [INSPIRE].
I. Jeon, K. Lee and J.-H. Park, Incorporation of fermions into double field theory, JHEP 11 (2011)025 [arXiv:1109.2035] [INSPIRE].
I. Jeon, K. Lee and J.-H. Park, Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity, Phys. Rev. D 85 (2012) 081501 [Erratum ibid. D 86 (2012) 089903] [arXiv:1112.0069] [INSPIRE].
I. Jeon, K. Lee and J.-H. Park, Stringy differential geometry, beyond Riemann, Phys. Rev. D 84 (2011) 044022 [arXiv:1105.6294] [INSPIRE].
D.S. Berman and K. Lee, Supersymmetry for Gauged Double Field Theory and Generalised Scherk-Schwarz Reductions, Nucl. Phys. B 881 (2014) 369 [arXiv:1305.2747] [INSPIRE].
D. Geissbuhler, D. Marqués, C. Nuñez and V. Penas, Exploring Double Field Theory, JHEP 06 (2013) 101 [arXiv:1304.1472] [INSPIRE].
G. Dibitetto, J.J. Fernandez-Melgarejo, D. Marqués and D. Roest, Duality orbits of non-geometric fluxes, Fortsch. Phys. 60 (2012) 1123 [arXiv:1203.6562] [INSPIRE].
O. Hohm and S.K. Kwak, Double Field Theory Formulation of Heterotic Strings, JHEP 06 (2011) 096 [arXiv:1103.2136] [INSPIRE].
O. Hohm, A. Sen and B. Zwiebach, Heterotic Effective Action and Duality Symmetries Revisited, JHEP 02 (2015) 079 [arXiv:1411.5696] [INSPIRE].
O.A. Bedoya, D. Marqués and C. Nuñez, Heterotic α’-corrections in Double Field Theory, JHEP 12 (2014) 074 [arXiv:1407.0365] [INSPIRE].
D.S. Freed and E. Witten, Anomalies in string theory with D-branes, Asian J. Math. 3 (1999) 819 [hep-th/9907189] [INSPIRE].
G. Aldazabal, P.G. Cámara and J.A. Rosabal, Flux algebra, Bianchi identities and Freed-Witten anomalies in F-theory compactifications, Nucl. Phys. B 814 (2009) 21 [arXiv:0811.2900] [INSPIRE].
N. Kaloper and R.C. Myers, The Odd story of massive supergravity, JHEP 05 (1999) 010 [hep-th/9901045] [INSPIRE].
G. Aldazabal, M. Mayo and C. Nuñez, Probing the String Winding Sector, JHEP 03 (2017) 096 [arXiv:1611.04927] [INSPIRE].
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ArXiv ePrint: 1708.07148
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Aldazabal, G., Andrés, E., Mayo, M. et al. Double Field Theory description of heterotic gauge symmetry enhancing-breaking. J. High Energ. Phys. 2017, 46 (2017). https://doi.org/10.1007/JHEP10(2017)046
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DOI: https://doi.org/10.1007/JHEP10(2017)046