Yutaka Sakamura (Osaka Univ.)

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Presentation transcript:

Yutaka Sakamura (Osaka Univ.) Scherk-Schwarz SUSY breaking from the viewpoint of 5D conformal supergravity Yutaka Sakamura　(Osaka Univ.) with Hiroyuki Abe (YITP) JHEP0602 (2006) 014 (hep-th/051２３２６) June １３, 2006@SUSY06

Introduction SUSY: a solution of hierarchy problem SUSY breaking is necessary Scherk-Schwarz SUSY breaking: Basic theory is 5D with U(1) sym. different b.c. on bosons and fermions In 5D conformal SUGRA, various properties of SS mechanism can be easily understood.

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

Consistency condition: This requires 　　　　　　　　　 .

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

Superconformal gauge fixing Extra symmetries: Ordinary gauge fixing conditions

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

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.von Gersdorff,M.Quiros,…)

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

Singular gauge fixing We take a gauge fixing parameter as

⇔ Boundary Constant superpotential for even part of the action Namely, Thus becomes boundary terms. SS twist ⇔ Boundary Constant superpotential for even part of the action provided that

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 .

Consistency condition: Models of (Gherghetta,Pomarol;Falkowski,Lalak,Pokorski) gauging with odd coupling i.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.

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

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