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Charged Particle-Like Branes in ABJM

Charged Particle-Like Branes in ABJM. N. Gutiérrez University of Oviedo. Based on arXiv:1004.2826 (Work done in collaboration with Y. Lozano & D. Rodríguez-Gómez). Madrid, June 15th 2010. Contents. Introduction Adding magnetic flux to particle-like branes ( AdS 4 x CP 3 )

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Charged Particle-Like Branes in ABJM

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  1. Charged Particle-Like Branes in ABJM N. Gutiérrez University of Oviedo Based on arXiv:1004.2826 (Work done in collaboration with Y. Lozano & D. Rodríguez-Gómez) Madrid, June 15th 2010

  2. Contents • Introduction • Adding magnetic flux to particle-like branes (AdS4 x CP3) • Di-baryon vertex (D4 in CP2) • t’Hooft monopole (D2 in CP1) • Baryon vertex (D6 in CP3) • Dynamics : e.o.m.s, effect of adding F0 • Conclusions Madrid, June 15th 2010 N. Gutiérrez

  3. Introduction (O.Aharony, O.Bergman, D.L.Jafferis, J.Maldacena) ABJM ( AdS4/ CFT3) N =6 3D CS-matter U(N)k x U(N) -k SU(N)k x SU(N) –k N M2s C4/Zk M th AdS4 x S7 / Zk low E large N (N/k fixed) T’Hooft limit (N1/5 << k << N) N =2 Type IIA AdS4 x CP3 BLG theory Madrid, June 15th 2010 N. Gutiérrez

  4. Introduction AdS4 x CP3 Non-trivial cycles: Background fluxes in CP3: Madrid, June 15th 2010 N. Gutiérrez

  5. Adding magnetic flux to particle-like branes (D.S.Freed, E.Witten) • Freed-Witten anomaly: (O.Aharony, A.Hashimoto, S.Hirano, P.Ouyang) Madrid, June 15th 2010 N. Gutiérrez

  6. Adding magnetic flux to particle-like branes Di-baryon vertex (D4 in CP2) Madrid, June 15th 2010 N. Gutiérrez

  7. Adding magnetic flux to particle-like branes t’Hooft monopole (D2 in CP1) & Baryon vertex(D6 in CP3) Madrid, June 15th 2010 N. Gutiérrez

  8. Dynamics: Charge bounds Madrid, June 15th 2010 N. Gutiérrez

  9. Dynamics: Charge bounds t’Hooft monopole (D2 in CP1) Madrid, June 15th 2010 N. Gutiérrez

  10. Dynamics: Charge bounds Baryon vertex(D6 in CP3) Madrid, June 15th 2010 N. Gutiérrez

  11. Dynamics: Charge bounds Di-baryon vertex (D4 in CP2) Madrid, June 15th 2010 N. Gutiérrez

  12. Dynamics: Charge bounds Adding Romans mass (D.Gaiotto, A.Tomasiello) Madrid, June 15th 2010 N. Gutiérrez

  13. Dynamics: Charge bounds Graphical results for non-zero Romans mass D6 D2 D4 Madrid, June 15th 2010 N. Gutiérrez

  14. Conclusions • More general configurations constructed • Stability studied • Effect of adding F0 considered • Non-trivial prediction for non-perturbative gauge th. • Field th. understanding of bounds still lacking • SUSY: Di-baryon as a spike solution? Madrid, June 15th 2010 N. Gutiérrez

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