Gauged Supergravities in Different Frames

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Gauged Supergravities in Different Frames

• Dr. Mario Trigiante
• (Politecnico di Torino)

F.Cordaro, P.Frè, L.Gualtieri, P.Termonia, M.T.
9804056 Wit, Samtleben, M.T. 0311224
DallAgata, Inverso, M.T. 1209.0760
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Plan of the Talk

• Overview and Motivations Gauged Supergravity and
  string/M-theory compactifications.

• Embedding tensor formulation of D4 gauged
  SUGRAs and duality

• Relevance of symplectic frames New N8 SUGRAs
  with SO(8) local symmetry

• Conclusions

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Introduction

• D4 Supergravity from Superstring/M-theory

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Ungauged (extended) Supergravities

• Electric-magnetic duality symmetry of Maxwell
  equations now must also involve the scalar fields
  (Gaillard-Zumino)

Non-linear action on f
G Isom(Mscal)
Sp(2 nv, R)
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The Issue of Symplectic Frames

• Different symplectic frames (SF) may yield
  inequivalent actions with different global
  symmetry groups Ge but same physics

• In the SUGRA description of string/M-theory
  compactifications, SF fixed by the resulting
  scalar-vector couplings

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Parity as an anti-Symplectic Duality

• Distinction between the scalar/pseudo-scalar
  fields depends
• on the choice of the symplectic frame

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Gauging

• Gauging consists in promoting a group G ½ Ge ½ G
  from global to local
• symmetry of the action. Different SF )
  different choices for G.

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• Manifestly G-covariant formulation de Wit,
  Samtleben, M.T. 0507289

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N8, D4 SUGRA
32 supercharges
A,B 2 8 of SU(8)R

• Scalar fields in non-linear ?-model with target
  space

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Choice corresponds to an SO(8)-gauging in a
different SF in which AIJ are electric
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• w analogue of de Roo-Wagemanns angle in N4,
  N2 parametrizes
• inequivalent theories.

• Vacua of original dWN theory (w0) studied by
  Warner and recently by
• Fischbacher (found several critical points,
  not complete yet)

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• w does not affect action terms up to second
  order in the fluctuations about
• the N8 vacuum (mass spectrum).

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Conclusions

• Showed in a given example how initial choice of
  SF
• determines, after gauging, physical
  properties of the model

• Study vacua of the new family of SO(8)-gauged
  maximal SUGRAS

• RG flow from new N0 G2 vacuum to N8 SO(8) one
  (both stable AdS4)