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Supersymmetric Non-linear Sigma Model In The Warped Space

Supersymmetric Non-linear Sigma Model In The Warped Space. Jingsheng Li Johns Hopkins University. Work with J. Bagger : arxiv : 1106.2343. May 8 2012 Pheno 2012 Symposium. Outlook. Non-linear σ Model in Flat Extra Dimension

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Supersymmetric Non-linear Sigma Model In The Warped Space

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  1. SupersymmetricNon-linear Sigma ModelIn The Warped Space Jingsheng Li Johns Hopkins University Work with J. Bagger: arxiv: 1106.2343 May 8 2012 Pheno 2012 Symposium

  2. Outlook • Non-linear σ Model in Flat Extra Dimension • Non-linear σModel in WarpedExtra Dimension • Examples • Summary

  3. Flat Extra Dimension

  4. Flat Extra Dimension (d=5) • Hypermultiplet • Action

  5. Flat Extra Dimension (d=5) • Transformation • Constraints

  6. Warped Extra Dimension

  7. From Flat to Warped Space

  8. 5-d Anti-de Sitter • Metric • Killing Spinor

  9. 5-d Anti-de Sitter • Hypermultiplet • Action

  10. 5-d Anti-de Sitter • Transformation • Constraints

  11. Model Building Procedure

  12. Examples

  13. Flat HyperKahler Space • Flat Geometry • Solve Constraints • Determine Scalar Potential

  14. Flat HyperKahler Space • “Massless” Case Mass Spectrum

  15. Flat HyperKahler Space • Massive Case

  16. HyperKahler Cone • Solve Constraints • If

  17. Summary • The Target Space of Non-linear Sigma Model in AdS5 is HyperKahler Manifold. • Killing Vector X Satisfies Inhomogeneous Tri-holomophic Condition. • Target Space Tri-holomorphic Isometries Can be Gauged. • Ready For Phenomenological Study.

  18. Thank You!

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