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3-Branes on Eguchi–Hanson 6D instantons

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Abstract

We use the approach used by Eguchi–Hanson in constructing four-dimensional instanton metrics and construct a class of regular six-dimensional instantons which are nothing but S 2 × S 2 resolved conifolds. We then also obtain D3-brane solutions on these EH-resolved conifolds.

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References

  1. Maldacena J.M. (1998). Adv. Theor. Math. Phys. 2: 231

    MATH  MathSciNet  Google Scholar 

  2. Gubser S.S., Klebanov I.R. and Polyakov A.M. (1998). Phys. Lett. 428B: 105

    ADS  MathSciNet  Google Scholar 

  3. Witten E. (1998). Adv. Theor. Math. Phys. 2: 253

    MATH  MathSciNet  Google Scholar 

  4. ’t Hooft, G.: gr-qc/9310006

  5. Susskind L. (1995). J. Math. Phys. 36: 6377

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. Aharony O., Gubser S., Maldacena J., Ooguri H. and Oz Y. (2000). Phys. Rep. 323: 183

    Article  MathSciNet  Google Scholar 

  7. Horowitz, G.T., Polchinski, J.: gr-qc/0602037

  8. Candelas P. and Ossa X.C. (1990). Comments on conifolds. Nucl. Phys. B342: 246

    Article  ADS  Google Scholar 

  9. Klebanov, I.R., Strassler, M.J.: Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities, hep-th0007191

  10. Pando Zayas L.A. and Tseytlin A.A. (2001). 3-branes on spaces with R × S 2 × S 3 topology. Phys. Rev. D 63: 086006, hep-th0101043

    Article  ADS  MathSciNet  Google Scholar 

  11. Chen, W., Lü, H., Pope, C.N.: Kerr-de Sitter black holes with NUT charges, hep-th0601002

  12. Bianchi M., Green M.B., Kovacs S. and Rossi G. (1998). JHEP 9808: 013

    Article  ADS  MathSciNet  Google Scholar 

  13. Dorey N., Khoze V.V., Mattis M.P. and Vandoren S. (1998). Phys. Lett. B442: 145

    ADS  MathSciNet  Google Scholar 

  14. Eguchi T. and Hanson A.J. (1979). Ann. Phys. 120: 82

    Article  MATH  ADS  MathSciNet  Google Scholar 

  15. Eguchi T. and Hanson A.J. (1978). Phys. Lett. B74: 249

    ADS  Google Scholar 

  16. Parwani, R.R., Singh, H.: Information geometry of U(1) instantons on self-dual manifolds, hep-th0608144

  17. Blau, M., Narain, K.S., Thompson, G.: hep-th/0108122

  18. Klebanov I.R. and Witten E. (1999). AdS/CFT correspondence and symmetry breaking. Nucl. Phys. 556: 89

    Article  MATH  ADS  MathSciNet  Google Scholar 

  19. Klebanov, I.R., Murugan, A.: Gauge/gravity duality and warped resolved conifold, hep-th0701064

  20. Chen, W., Cvetic, M., Lü, H., Pope, C.N., Vazquez-Poritz, J.F.: Resolved Calabi–Yau cones and flows from L abc superconformal field theories, hep-th0701082

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  1. Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700064, India

    Harvendra Singh

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  1. Harvendra Singh
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Correspondence to Harvendra Singh.

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Singh, H. 3-Branes on Eguchi–Hanson 6D instantons. Gen Relativ Gravit 39, 839–848 (2007). https://doi.org/10.1007/s10714-007-0422-6

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  • DOI: https://doi.org/10.1007/s10714-007-0422-6

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