Skip to main content
SpringerLink
Log in

Curves and 6d \(\mathcal{N}=(2,0)\) Theory

  • Chapter
  • First Online:
N=2 Supersymmetric Dynamics for Pedestrians

Part of the book series: Lecture Notes in Physics ((LNP,volume 890))

  • 1744 Accesses

Abstract

We have seen that the low energy dynamics of the SU(2) pure gauge theory and the SU(2) gauge theory with one flavor can both be expressed in terms of the complex curves (4.3.1), (5.2.1). The aim of this chapter is to explain that these two-dimensional spaces can be given a physical interpretation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Some of the young readers who just started learning string theory might wonder at this point: aren’t relativistic Lorentz-invariant string theories only possible in 26 dimensions if bosonic, and in 10 dimensions if supersymmetric? The catch is that the standard arguments in the textbooks assume that the interaction among strings is perturbative.

References

  1. D. Gaiotto, G.W. Moore, A. Neitzke, Wall-crossing, Hitchin systems, and the WKB approximation. Adv. Math. 234, 239–403 (2013). arXiv:0907.3987 [hep-th]

    Google Scholar 

  2. A. Giveon, D. Kutasov, Brane dynamics and gauge theory. Rev. Mod. Phys. 71, 983–1084 (1999). arXiv:hep-th/9802067

    Google Scholar 

  3. S. Kachru, C. Vafa, Exact results for \(\mathcal{N}\! = 2\) compactifications of heterotic strings. Nucl. Phys. B450, 69–89 (1995). arXiv:hep-th/9505105

    Google Scholar 

  4. S. Kachru, A. Klemm, W. Lerche, P. Mayr, C. Vafa, Nonperturbative results on the point particle limit of \(\mathcal{N}\! = 2\) heterotic string compactifications. Nucl. Phys. B459, 537–558 (1996). arXiv:hep-th/9508155

    Google Scholar 

  5. A. Klemm, W. Lerche, P. Mayr, C. Vafa, N.P. Warner, Self-dual strings and \(\mathcal{N}\! = 2\) supersymmetric field theory. Nucl. Phys. B477, 746–766 (1996). arXiv:hep-th/9604034

    Google Scholar 

  6. W. Lerche, Introduction to Seiberg-Witten theory and its stringy origin. Nucl. Phys. Proc. Suppl. 55B, 83–117 (1997). arXiv:hep-th/9611190

    Google Scholar 

  7. A. Mikhailov, BPS states and minimal surfaces. Nucl. Phys. B533, 243–274 (1998). arXiv:hep-th/9708068

    Google Scholar 

  8. A. Sen, Dyon - monopole bound states, selfdual harmonic forms on the multi - monopole moduli space, and SL(2, Z) invariance in string theory. Phys. Lett. B329, 217–221 (1994). arXiv:hep-th/9402032

    Google Scholar 

  9. E. Witten, Solutions of four-dimensional field theories via M-theory. Nucl. Phys. B500, 3–42 (1997). arXiv:hep-th/9703166

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Tokyo, Tokyo, Japan

    Yuji Tachikawa

Authors
  1. Yuji Tachikawa
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Hindustan Book Agency

About this chapter

Cite this chapter

Tachikawa, Y. (2015). Curves and 6d \(\mathcal{N}=(2,0)\) Theory. In: N=2 Supersymmetric Dynamics for Pedestrians. Lecture Notes in Physics, vol 890. Springer, Cham. https://doi.org/10.1007/978-3-319-08822-8_6

Download citation

Publish with us

Policies and ethics

Search

Navigation