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Holographic Gauge Mediation

Sebastián Franco. Holographic Gauge Mediation. KITP Santa Barbara. SILAFAE January 2009. Based on: F. Benini , A. Dymarsky , S. Franco, S. Kachru , D. Simic and H.Verlinde (to appear). Motivation. Stabilization of Weak/Planck hierachy. Supersymmetry.

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Holographic Gauge Mediation

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  1. Sebastián Franco Holographic Gauge Mediation KITP Santa Barbara SILAFAE January 2009 • Based on: F. Benini, A. Dymarsky, S. Franco, S. Kachru, D. Simic and H.Verlinde (to appear)

  2. Motivation • Stabilization of Weak/Planckhierachy • Supersymmetry • Spontaneous SUSY breaking within MSSM • Squarks ligher than u-quarks • Gravity mediation • heavy (Planck scale) fields • Gauge mediation • massive fields with SM charges • Minimal Gauge Mediation • Messengers: (F, F) charged under SM • Gauge mediation solves the SUSY flavor problem (flavor blind) • Recently, interest in generalizations that include more general possibilities for messengers and their interaction with the hidden sector • e. g. Meade, Seiberg and Shih

  3. Today: new possibilities that are calculable via gauge/gravity duality • Visible: • SUSY extension of the SM. We assume visible, hidden and messenger matter in complete SU(5) representations. • Hidden: • strongly coupled SUSY field theory with metastable SUSY breaking at LS > 1 TeV. It has a global symmetry G  SU(5). • They interact via: • In this General Gauge Mediation formalism, soft masses are parametrized by Jh2-point functions • Meade, Seiberg and Shih • Geometrization: • if the hidden gauge group has sufficiently large rank and gauge coupling, we may approximate the dual theory as a classical supergravitytheory.

  4. The model • Starting point: • gravity dual with a SUSY breaking state at an exponentially small scale • Deformed conifold with fluxes • Dual to the following gauge theory: • Constructed from N D3-branes and M wrapped D5-branes at the conifold • The D5-branes break conformal invariance and the theory undergoes a cascade of Seiberg dualities, which gradually reduces N and terminates in confinement.

  5. Confinement is dual to a deformation of the conifold. At the bottom (IR) of the throat there is a finite 3-sphere of size: • Each step in the duality cascade reduces N by M units • If N = k M – p (p << M), we are left with (M-p) probe D3-branes at the S3 at the tip of the deformed conifold • The theory admits a metastable state with p anti D3-branes • Kachru, Pearson and Verlinde

  6. There is a supergravity dual for this non-SUSY states (DKM): • DeWolfe, Kachru and Mulligan • vacuum energy • Normalizable perturbation • spontaneous SUSY breaking

  7. Adding the ‘‘SM”: gauge symmetry in the bulk • global symmetry in 4d • gauge symmetry in the bulk • The next step is to endow the hidden sector with a global symmetry. The SM gauge symmetry is a gauged subgroup of it • In type IIB, this is achieved with a stack of D7-branes extending radially • breaks R-symmetry

  8. Soft Terms Gaugino mass • We take K coincident D7-branes with Kuperstein embedding: • Let us calculate the leading contribution to the gaugino mass • (3,0) RR flux leads to gaugino masses on D7-branes • Graña, Camara et. al., Jockers et. al. • But the anti D3-brane SUSY breaking state (DKM) does not generate (3,0) flux at leading order • SUSY-breaking is transmitted by a tower of KK mesons:

  9. The DKM solution contains (0,2) and (2,0) perturbations of the metric • As a result, the lightest KK mode gets a SUSY-breaking mass shift: • with: • z transforms in the adjoint representation of the gauge group. We obtain a gaugino massat 1-loop:

  10. e also carries R-charge. A priori, there could be an additional contribution to the gaugino mass of the form: Matter soft terms • which is highly suppresed with respect to the previous one since e << m • Our model realizes gaugino mediation (gauge mediation with a large number of messengers) • The direct contribution to scalar masses and A-terms is negligible • Kaplan et. al., Chacko et. al. • Instead, they are generated by RG running

  11. Other scenarios: Compositeness • Natural extension • allow the position of matter to vary • composite • Compositeness can (partially) explain some issues about flavor physics • Single sector SUSY breaking: • some SM matter emerging as composite of a SUSY-breaking field theory • Arkani-Hamed, Luty and Terning • Gabella, Gherghetta and Giedt • Known field theory examples are non-calculable • e.g.: SU(4)×SU(18) ×[SU(18)]

  12. Conclusions • It is possible to geometrize models of strongly coupled gauge mediation using confining examples of AdS/CFT with massive flavors • The flavors provide messenger mesons that lead to models of semi-direct gauge mediation • Seiberg, Volansky and Wecht • Generalizations with different positions of matter fields inside the throat. Composite models with single sector SUSY breaking • Interesting to explore the interplay of compositeness contributions to soft terms with other mediation mechanisms, e.g. possible solution to tachyonicsleptons of anomaly mediation, m/Bm problem, etc

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