Papers
Topics
Authors
Recent
Search
2000 character limit reached

A new vista on the Heterotic Moduli Space from Six and Three Dimensions

Published 19 Jul 2023 in hep-th | (2307.10356v3)

Abstract: We settle a long-standing question about the hypermultiplet moduli spaces of the heterotic strings on ALE singularities. These heterotic backgrounds are specified by the singularity type, an instanton number, and a (nontrivial) flat connection at infinity. Building on their interpretation as six-dimensional theories, we determine a class of three-dimensional $\mathcal{N}=4$ quiver gauge theories whose quantum corrected Coulomb branch coincides with the exact heterotic hypermultiplet moduli space.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (38)
  1. For compactifications on tori, a detailed analysis was carried out in [59].
  2. A. Sen, Adv. Theor. Math. Phys. 1, 115 (1998), arXiv:hep-th/9707042 .
  3. E. Witten, JHEP 02, 025 (2000a), arXiv:hep-th/9909229 .
  4. A. Hanany and A. Zaffaroni, JHEP 12, 014 (1999), arXiv:hep-th/9911113 .
  5. J. Bagger and E. Witten, Nucl. Phys. B 222, 1 (1983).
  6. E. Witten, JHEP 02, 030 (2000b), arXiv:hep-th/9907041 .
  7. M. F. Atiyah and N. J. Hitchin, Phil. Trans. Roy. Soc. Lond. A 315, 459 (1985).
  8. N. Seiberg and E. Witten, in Conference on the Mathematical Beauty of Physics (In Memory of C. Itzykson) (1996) pp. 333–366, arXiv:hep-th/9607163 .
  9. A. Hanany and E. Witten, Nucl. Phys. B 492, 152 (1997), arXiv:hep-th/9611230 .
  10. G. Chalmers and A. Hanany, Nucl. Phys. B 489, 223 (1997), arXiv:hep-th/9608105 .
  11. J. McKay, Proc. Symp. Pure Math. 37 (1980).
  12. M. Rozali, JHEP 12, 013 (1999), arXiv:hep-th/9910238 .
  13. P. Mayr, JHEP 08, 042 (2000), arXiv:hep-th/9910268 .
  14. P. S. Aspinwall and M. R. Plesser, JHEP 04, 025 (2000), arXiv:hep-th/9910248 .
  15. E. Witten, Nucl. Phys. B 460, 541 (1996), arXiv:hep-th/9511030 .
  16. P. Horava and E. Witten, Nucl. Phys. B 460, 506 (1996a), arXiv:hep-th/9510209 .
  17. P. Horava and E. Witten, Nucl. Phys. B 475, 94 (1996b), arXiv:hep-th/9603142 .
  18. A. Hanany and A. Zaffaroni, Nucl. Phys. B 529, 180 (1998), arXiv:hep-th/9712145 .
  19. P. S. Aspinwall and D. R. Morrison, Nucl. Phys. B 503, 533 (1997), arXiv:hep-th/9705104 .
  20. J. D. Blum and K. A. Intriligator, Nucl. Phys. B 506, 199 (1997a), arXiv:hep-th/9705044 .
  21. J. D. Blum and K. A. Intriligator, Nucl. Phys. B 506, 223 (1997b), arXiv:hep-th/9705030 .
  22. K. A. Intriligator, Adv. Theor. Math. Phys. 1, 271 (1998), arXiv:hep-th/9708117 .
  23. M. Del Zotto and G. Lockhart, JHEP 08, 173 (2018), arXiv:1804.09694 [hep-th] .
  24. Importantly, they may be approached with techniques already available in the literature.
  25. In physics, it simply means we can ungauge a U⁢(1)𝑈1U(1)italic_U ( 1 ) by gauging the topological U⁢(1)𝑈1U(1)italic_U ( 1 ) symmetry that comes with it.
  26. A. Hanany and G. Zafrir, JHEP 07, 168 (2018), arXiv:1804.08857 [hep-th] .
  27. I.e., a hypermultiplet transforming in the (k1⊗k2¯)⊕(k1¯⊗k2)direct-sumtensor-productsubscript𝑘1¯subscript𝑘2tensor-product¯subscript𝑘1subscript𝑘2(k_{1}\otimes\overline{k_{2}})\oplus(\overline{k_{1}}\otimes k_{2})( italic_k start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT ⊗ over¯ start_ARG italic_k start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT end_ARG ) ⊕ ( over¯ start_ARG italic_k start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT end_ARG ⊗ italic_k start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT ) representation of U⁢(k1)×U⁢(k2)𝑈subscript𝑘1𝑈subscript𝑘2U(k_{1})\times U(k_{2})italic_U ( italic_k start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT ) × italic_U ( italic_k start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT ). .
  28. D. Gaiotto and E. Witten, Adv. Theor. Math. Phys. 13, 721 (2009), arXiv:0807.3720 [hep-th] .
  29. This is a consequence of the “s-rule” (ensuring that supersymmetry is preserved) in a Type IIB engineering via D3-D5-NS5-branes of this quiver [11, 44].
  30. K. A. Intriligator and N. Seiberg, Phys. Lett. B 387, 513 (1996), arXiv:hep-th/9607207 .
  31. V. Kac, Infinite-Dimensional Lie Algebras (Cambridge University Press, 1990).
  32. N. Seiberg, Phys. Lett. B 408, 98 (1997), arXiv:hep-th/9705221 .
  33. Remember that the quaternionic dimension of the HB in a theory with eight supercharges in any spacetime dimension is found by subtracting the total number of vector multiplets from that of hypermultiplets.
  34. M. Fazzi and S. Giri, JHEP 12, 076 (2022), arXiv:2208.11703 [hep-th] .
  35. G. W. Moore and Y. Tachikawa, Proc. Symp. Pure Math. 85, 191 (2012), arXiv:1106.5698 [hep-th] .
  36. N. Hitchin, Commun. Math. Phys. 324, 77 (2013), arXiv:1210.0424 [math.DG] .
  37. D. Tong, Phys. Lett. B 448, 33 (1999), arXiv:hep-th/9803148 .
  38. D. D. Frey and T. Rudelius, Adv. Theor. Math. Phys. 24, 709 (2020), arXiv:1811.04921 [hep-th] .
Citations (2)
View on Semantic Scholar

Summary

No one has generated a summary of this paper yet.

Sign Up to Summarize

Paper to Video (Beta)

No one has generated a video about this paper yet.

Sign Up to Generate All Videos Subscribe on YouTube

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Sign Up to Generate

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Generate Now

Continue Learning

We haven't generated follow-up questions for this paper yet.

Generate Now

Collections

Sign up for free to add this paper to one or more collections.

Sign Up