Spontaneous breaking of supersymmetry through dimensional reduction

We compute (as functions of the shape and Wilson-line moduli) the one-loop Casimir energy induced by higher-dimensional supergravities compactified from 6D to 4D on 2-tori, and on some of their Z N orbifolds. Detailed calculations are given for a 6D scalar field having an arbitrary 6D mass m, and we show how to extend these results to higher-spin fields for supersymmetric 6D theories. Particular attention is paid to regularization issues and to the identification of the divergences of the potential, as well as the dependence of the result on m, including limits for which m 2 A ≪ 1 and m 2 A ≫ 1 where A is the volume of the internal 2 dimensions. Our calculation extends those in the literature to very general boundary conditions for fields about the various cycles of these geometries. The results have potential applications towards Supersymmetric Large Extra Dimensions (SLED) as a theory of the Dark Energy. First, they provide an explicit calculation within which to follow the dependence of the result on the mass of the bulk states which travel within the loop, and for heavy masses these results bear out the more general analysis of the UV-sensitivity obtained using heat-kernel methods. Second, because the potentials we find describe the dynamics of the classical flat directions of these compactifications, within SLED they would describe the present-day dynamics of the Dark Energy.

Section: Higher-spin Fields On Tmentioning

confidence: 99%

“…Using the above considerations, one has the following mode decomposition for Φ g : 27) which satisfies the desired condition…”

Section: The Orbifoldmentioning

confidence: 99%

Casimir energies for 6D supergravities compactified on Script T₂/Z_Nwith Wilson lines

Ghilencea¹,

Hoover²,

Burgess³

et al. 2005

“…It is well known that ungauged N = 4 supergravity theories in d = 4 can be obtained by toroidal compactification from d = 10 supergravity [10]. Gauged N = 4 supergravity obtained from Scherk-Schwarz compactifications [11] has been considered in the past [12,13,14], and also more recently in combination with flux compactification [15]- [20]. Nevertheless, to our knowledge the SU(1, 1) duality angles [21], which play an essential role in obtaining extrema with a positive cosmological constant, have not been given a higher-dimensional origin.…”

Section: Jhep11(2003)022mentioning

confidence: 99%

“…Also the present analysis can be generalized to include Peccei-Quinn symmetries. These symmetries naturally appear in Scherk-Schwarz reductions [11,15,17], therefore such an investigation could also elucidate the relation between N = 4 supergravity with nonzero SU(1, 1) angles and string theory. Gaugings related to Scherk-Schwarz reductions from JHEP11(2003)022 D = 5 could also provide new ways for obtaining some of the N = 2 models with stable de Sitter vacua [9] as effective realizations of a larger gauged N = 4 theory (although a definite statement about this possibility would require an analysis that we postpone to future work).…”

Section: Jhep11(2003)022mentioning

confidence: 99%

Potential and mass-matrix in gaugedN= 4 supergravity

Roo¹,

Westra²,

Panda

et al. 2003

Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Mario TrigianteSpinoza Institute Leuvenlaan 4, 3508 TD Utrecht, The Netherlands E-mail: m.trigiante@phys.uu.nl Abstract: We discuss the potential and mass-matrix of gauged N = 4 matter coupled supergravity for the case of six matter multiplets, extending previous work by considering the dependence on all scalars. We consider all semi-simple gauge groups and analyse the potential and its first and second derivatives in the origin of the scalar manifold. Although we find in a number of cases an extremum with a positive cosmological constant, these are not stable under fluctuations of all scalar fields.

“…This is considered below, with its implications on the spectrum of the bulk fields of the model. We shall use the continuous Scherk-Schwarz mechanism [17] on T 2 /Z 2 orbifold with complex structure U for the underlying two-torus, in order to break the remaining supersymmetry of the fixed points. One can also consider other methods of breaking such as the discrete version of the Scherk-Schwarz mechanism 7 , but we expect to obtain similar conclusions.…”

Section: Introductionmentioning

confidence: 99%

Higher derivative operators from Scherk-Schwarz supersymmetry breaking on Script T²/Z₂.

Ghilencea

Lee

2005

In orbifold compactifications on T 2 /Z 2 with Scherk-Schwarz supersymmetry breaking, it is shown that (brane-localised) superpotential interactions and (bulk) gauge interactions generate at one-loop higher derivative counterterms to the mass of the brane (or zero-mode of the bulk) scalar field. These brane-localised operators are generated by integrating out the bulk modes of the initial theory which, although supersymmetric, is nevertheless non-renormalisable. It is argued that such operators, of non-perturbative origin and not protected by non-renormalisation theorems, are generic in orbifold compactifications and play a crucial role in the UV behaviour of the two-point Green function of the scalar field self-energy. Their presence in the action with unknown coefficients prevents one from making predictions about physics at (momentum) scales close to/above the compactification scale(s). Our results extend to the case of two dimensional orbifolds, previous findings for S 1 /Z 2 and S 1 /(Z 2 × Z ′ 2 ) compactifications where brane-localised higher derivative operators are also dynamically generated at loop level, regardless of the details of the supersymmetry breaking mechanism. We stress the importance of these operators for the hierarchy and the cosmological constant problems in compactified theories.