Explicit supersymmetry breaking on boundaries of warped extra dimensions

Hall, Lawrence J.; Nomura, Yasunori; Okui, Takemichi; Oliver, Steven

doi:10.1016/j.nuclphysb.2003.10.042

Cited by 25 publications

(35 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In a CFT, the two-point function can only arise from a single non-local operator in the effective action, that of Eq. (28). On the other hand, the operators with more powers of A µ (x) that generate n-point functions may arise either from the terms related to Eq.…”

Section: Running Of Gauge Couplingsmentioning

confidence: 99%

See 1 more Smart Citation

Systematics of coupling flows in AdS backgrounds

2003

View full text Add to dashboard Cite

We give an effective field theory derivation, based on the running of Planck brane gauge correlators, of the large logarithms that arise in the predictions for low energy gauge couplings in compactified AdS 5 backgrounds, including the one-loop effects of bulk scalars, fermions, and gauge bosons. In contrast to the case of charged scalars coupled to Abelian gauge fields that has been considered previously in the literature, the one-loop corrections are not dominated by a single 4D Kaluza-Klein mode. Nevertheless, in the case of gauge field loops, the amplitudes can be reorganized into a leading logarithmic contribution that is identical to the running in 4D non-Abelian gauge theory, and a term which is not logarithmically enhanced and is analogous to a two-loop effect in 4D. In a warped GUT model broken by the Higgs mechanism in the bulk, we show that the matching scale that appears in the large logarithms induced by the non-Abelian gauge fields is m 2 XY /k where m XY is the bulk mass of the XY bosons and k is the AdS curvature. This is in contrast to the UV scale in the logarithmic contributions of scalars, which is simply the bulk mass m. Our results are summarized in a set of simple rules that can be applied to compute the leading logarithmic predictions for coupling constant relations within a given warped GUT model.We present results for both bulk Higgs and boundary breaking of the GUT gauge group. * Electronic address: walter@thsrv.lbl.gov † Electronic address: ira@cmuhep2.phys.cmu.edu

show abstract

Section: Running Of Gauge Couplingsmentioning

confidence: 99%

“…A discussion of non-supersymmetric warped GUTs appears in [15]. GUT model building in the context of warped supersymmetry has been discussed in [3,25,27,28].…”

Section: Tools For Gut Model Buildingmentioning

confidence: 99%

Systematics of coupling flows in AdS backgrounds

2003

View full text Add to dashboard Cite

show abstract

“…This fact was already noticed in Refs. [19][20][21][22]. In our formalism this persistence is a consequence of the alignment of bulk and brane breaking.…”

mentioning

confidence: 90%

“…This will lead z 0 , z π to depend on the bosonic tensions on the respective branes τ 0 , τ π and on the bulk cosmological constant g. When further imposing one of the RandallSundrum tunings, τ 0 = τ π , one gets z 0 = z π , and when enforcing the brane-bulk balance, τ 0 = √ 24g, one obtains z 0 = z π = z( q) 21 . Therefore, persistent supersymmetry is guaranteed.…”

mentioning

confidence: 99%

Supersymmetry from boundary conditions

Gersdorff¹,

Pilo²,

Quirós³

et al. 2005

Nuclear Physics B

View full text Add to dashboard Cite

We study breaking and restoration of supersymmetry in five-dimensional theories by determining the mass spectrum of fermions from their equations of motion. Boundary conditions can be obtained from either the action principle by extremizing an appropriate boundary action (interval approach) or by assigning parities to the fields (orbifold approach). In the former, fields extend continuously from the bulk to the boundaries, while in the latter the presence of brane mass-terms cause fields to jump when one moves across the branes. We compare the two approaches and in particular we carefully compute the non-trivial jump profiles of the wavefunctions in the orbifold picture for very general brane mass terms. We also include the effect of the Scherk-Schwarz mechanism in either approach and point out that for a suitable tuning of the boundary actions supersymmetry is present for arbitrary values of the Scherk-Schwarz parameter. As an application of the interval formalism we construct bulk and boundary actions for super Yang-Mills theory. Finally we extend our results to the warped Randall-Sundrum background.

show abstract

“…The 5D gauge transformations have been examined by consistently gauging the global symmetry. 25) In 4D, BRST invariance is useful as a sophisticated formulation of gauge theories after the gauge fixing. 26)-28) The BRST approach for higherdimensional gauge theories has been used to study the deconstruction approach 29) and orbifold models.…”

Section: §1 Introductionmentioning

confidence: 99%

Selecting Gauge Theories on an Interval by 5D Gauge Transformations

Sakai

Uekusa

2007

Progress of Theoretical Physics

View full text Add to dashboard Cite

Gauge symmetry breaking by boundary conditions is studied in a general warped geometry in five dimensions. It has been suggested that a wider class of boundary conditions is allowed by requiring only vanishing surface terms when deriving the field equations for gauge theories on an interval (i.e., employing a variational principle), in comparison to the twist in orbifolding with automorphisms of the Lie algebra. We find that there are classes of boundary conditions allowed by the variational principle which violate the Ward-Takahashi identity and give four-point tree amplitudes that increase with energy in channels that have not yet been explored, leading to cross sections that increase as powers of the energy (which violates the tree level unitarity). We also find that such boundary conditions are forbidden by the requirement that the definitions of the restricted class of five-dimensional (5D) gauge transformations be consistent. §1. IntroductionIn models with extra dimensions, there are various possibilities for gauge fields. The initial proposal for the large extra dimensions assumes that all particles in the standard model are localized on a brane with a four-dimensional (4D) world volume. 1)−4) Formulating the localization of gauge fields on a wall is a challenging problem, which can be realized in certain models. 5),6) However, other interesting possibilities arise if the gauge fields are propagating in the higher-dimensional bulk spacetime. The extra-dimensional component of gauge fields can act as a Higgs scalar field to break the gauge symmetry. 7) The Wilson line dynamics can provide another source of gauge symmetry breaking, namely, the Hosotani mechanism. 8) If the extra dimensions are compactified on a topologically nontrivial manifold, such as S 1 , twisting can be realized, and the Scherk-Schwarz symmetry breaking mechanism thereby appears. 9) The key to these mechanisms can be summarized as a nontrivial holonomy along a nontrivial cycle, which can also be understood as vacuum expectation values of adjoint scalar fields coming from gauge field components along the extra dimensions. If orbifolds are introduced, one can also impose boundary conditions at the fixed points of the orbifold to break all or part of a gauge group, usually using the automorphisms of the Lie algebra. 10)−15) Combined with the Wilson lines, the orbifold models have recently gained much attention. 16)−20) A class of boundary conditions wider than the orbifolding with automorphisms has been pursued to obtain more realistic models, in particular, to reduce the rank of the gauge group. 12) One notable proposal is to consider gauge theories on an interval and to require * ) E-mail: nsakai@th.phys.titech.ac.jp * * ) E-mail: uekusa@th.phys.titech.ac.jp 2 Norisuke Sakai and Nobuhiro Uekusa that the surface terms must vanish in order for the variational principle 21) to give field equations. * ) By imposing boundary conditions, part of the five-dimensional (5D) gauge invariance is explicitly broken, although the 5D gauge invariance ...

show abstract

Explicit supersymmetry breaking on boundaries of warped extra dimensions

Cited by 25 publications

References 48 publications

Systematics of coupling flows in AdS backgrounds

Systematics of coupling flows in AdS backgrounds

Supersymmetry from boundary conditions

Selecting Gauge Theories on an Interval by 5D Gauge Transformations

Contact Info

Product

Resources

About