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Scherk-Schwarz SUSY breaking from the viewpoint of 5D conformal supergravity

Scherk-Schwarz SUSY breaking from the viewpoint of 5D conformal supergravity. 阪村　豊　 ( 大阪大学 ) in collaboration with 安倍　博之 (YITP) JHEP0602 (2006) 014 (hep-th/051 ２３２６ ) 8/2/2006@YITP. Introduction. SUSY : a solution of hierarchy problem SUSY breaking is necessary

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Scherk-Schwarz SUSY breaking from the viewpoint of 5D conformal supergravity

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  1. Scherk-Schwarz SUSY breaking from the viewpoint of5D conformal supergravity 阪村　豊　(大阪大学) in collaboration with 安倍　博之 (YITP) JHEP0602 (2006) 014 (hep-th/051２３２６) 8/2/2006@YITP

  2. Introduction SUSY: a solution of hierarchy problem • SUSY breaking is necessary • Scherk-Schwarz SUSY breaking: • the simplest case is 5D theory on or • different b.c. on bosons and fermions

  3. SS breaking in 5D SUGRA 5D SUGRA on with the radius It has symmetry. • Orbifold b.c. : We choose as • Twisting b.c. for

  4. Consistency condition: This requires . In conformal SUGRA, various properties of SS mechanism can be easily understood.

  5. 5D conformal supergravity （Kugo & Ohashi） • Symmetries: • Field content: • Weyl multiplet: • Hypermultiplet: • Vector multiplet: compensator Physical fields

  6. Superconformal gauge fixing • Extra symmetries: • Ordinary gauge fixing conditions

  7. Combining and gauge fixings, We will modify this as while the physical fields remain periodic.

  8. gauge field on-shell is given by is shifted and This corresponds to the nonvanishing F-term of the radion superfield in the superfield formalism. (G.v. Gersdorff, M.Quiros, …)

  9. gravitino gaugino SUSY breaking terms: All SUSY terms are proportional to . hyperscalar

  10. Singular gauge fixing We take a gauge fixing parameter as

  11. Namely, Thus becomes boundary terms. SS twist ⇔ Boundary Constant superpotential provided that . SS SUSY breaking is spontaneous.

  12. SS twist and warped geometry SS twist yields an inconsistency on the warped geometry. (Hall,Nomura,Okui,Oliver (2004)) • Gauging of by graviphoton is necessary to realize geometry. • From , a graviphoton mass term appears, which is proportional to .

  13. Consistency condition: • Models of (Gherghetta,Pomarol;Falkowski,Lalak,Pokorski) gauging with odd couplingi.e., • Model of (Altendorfer,Bagger,Nemeschansky) gauging with even coupling i.e., SS twisting seems possible. But this model is not derived from known off-shell SUGRA.

  14. -even case: Boundary tension terms come from Then, • SUSY condition: • Randall-Sundrum condition:

  15. In the flat case, SS twist ⇔ b.d. constant superpotential Is it possible to restore SUSY by tuning ? The answer is NO. SS twist does not lead to the b.d. tensions. Relation to the ABN model is still an open question.

  16. Summary From the viewpoint of 5D conformal SUGRA, • SS twisting for is understood as twisted gauge fixing. • SS twist ⇔ Boundary constant superpotential • SS twist in leads to massive graviphoton.

  17. Future works • The case that both SS twist and boundary constant superpotentials exist (model ofAltendorfer,Bagger,Nemeschansky?) • Extension to two-compensator case(e.g. effective theory of heterotic M theory)

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