TY - JOUR
T1 - Moduli stabilization in higher dimensional brane models
AU - Flachi, Antonino
AU - Garriga, Jaume
AU - Pujolàs, Oriol
AU - Tanaka, Takahiro
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2003/8/1
Y1 - 2003/8/1
N2 - We consider a class of warped higher dimensional brane models with topology M × Σ × S1/ℤ2, where Σ is a D2 dimensional manifold. Two branes of codimension one are embedded in such a bulk space-time and sit at the orbifold fixed points. We concentrate on the case where an exponential warp factor (depending on the distance along the orbifold) accompanies the Minkowski M and the internal space Σ line elements. We evaluate the moduli effective potential induced by bulk scalar fields in these models, and we show that generically this can stabilize the size of the extra dimensions. As an application, we consider a scenario where supersymmetry is broken not far below the cutoff scale, and the hierarchy between the electroweak and the effective Planck scales is generated by a combination of redshift and large volume effects. The latter is efficient due to the shrinking of Σ at the negative tension brane, where matter is placed. In this case, we find that the effective potential can stabilize the size of the extra dimensions (and the hierarchy) without fine tuning, provided that the internal space Σ is flat.
AB - We consider a class of warped higher dimensional brane models with topology M × Σ × S1/ℤ2, where Σ is a D2 dimensional manifold. Two branes of codimension one are embedded in such a bulk space-time and sit at the orbifold fixed points. We concentrate on the case where an exponential warp factor (depending on the distance along the orbifold) accompanies the Minkowski M and the internal space Σ line elements. We evaluate the moduli effective potential induced by bulk scalar fields in these models, and we show that generically this can stabilize the size of the extra dimensions. As an application, we consider a scenario where supersymmetry is broken not far below the cutoff scale, and the hierarchy between the electroweak and the effective Planck scales is generated by a combination of redshift and large volume effects. The latter is efficient due to the shrinking of Σ at the negative tension brane, where matter is placed. In this case, we find that the effective potential can stabilize the size of the extra dimensions (and the hierarchy) without fine tuning, provided that the internal space Σ is flat.
KW - Extra Large Dimensions
KW - Field Theories in Higher Dimensions
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U2 - 10.1088/1126-6708/2003/08/053
DO - 10.1088/1126-6708/2003/08/053
M3 - Article
AN - SCOPUS:23044461929
VL - 7
SP - 1225
EP - 1259
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 8
ER -