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IIB Explored: Reflection 7-Branes

Published 9 Dec 2022 in hep-th | (2212.05077v2)

Abstract: The Swampland Cobordism Conjecture successfully predicts the supersymmetric spectrum of 7-branes of IIB / F-theory. Including reflections on the F-theory torus, it also predicts the existence of new non-supersymmetric objects, which we dub reflection 7-branes (R7-branes). We present evidence that these R7-branes only exist at strong coupling. R7-branes serve as end of the world branes for 9D theories obtained from type IIB asymmetric orbifold and Dabholkar-Park orientifold backgrounds, and an anomaly inflow analysis suggests the existence of a gapless Weyl fermion, which would have the quantum numbers of a goldstino. Using general arguments, we conclude that different kinds of branes are able to end on the R7, and accounting for their charge requires exotic localized degrees of freedom, for which the simplest possibility is a massless 3-form field on the R7-brane worldvolume. We also show how to generalize the standard F-theory formalism to account for reflections.

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References (81)
  1. D. Gaiotto, A. Kapustin, N. Seiberg, and B. Willett, “Generalized Global Symmetries,” JHEP 02 (2015) 172, arXiv:1412.5148 [hep-th].
  2. J. McNamara and C. Vafa, “Cobordism Classes and the Swampland,” arXiv:1909.10355 [hep-th].
  3. M. Montero and C. Vafa, “Cobordism Conjecture, Anomalies, and the String Lamppost Principle,” JHEP 01 (2021) 063, arXiv:2008.11729 [hep-th].
  4. M. Dierigl and J. J. Heckman, “Swampland cobordism conjecture and non-Abelian duality groups,” Phys. Rev. D 103 no. 6, (2021) 066006, arXiv:2012.00013 [hep-th].
  5. G. Buratti, J. Calderón-Infante, M. Delgado, and A. M. Uranga, “Dynamical Cobordism and Swampland Distance Conjectures,” JHEP 10 (2021) 037, arXiv:2107.09098 [hep-th].
  6. A. Debray, M. Dierigl, J. J. Heckman, and M. Montero, “The anomaly that was not meant IIB,” arXiv:2107.14227 [hep-th].
  7. R. Blumenhagen and N. Cribiori, “Open-closed correspondence of K-theory and cobordism,” JHEP 08 (2022) 037, arXiv:2112.07678 [hep-th].
  8. R. Angius, J. Calderón-Infante, M. Delgado, J. Huertas, and A. M. Uranga, “At the end of the world: Local Dynamical Cobordism,” JHEP 06 (2022) 142, arXiv:2203.11240 [hep-th].
  9. R. Blumenhagen, N. Cribiori, C. Kneissl, and A. Makridou, “Dynamical Cobordism of a Domain Wall and its Companion Defect 7-brane,” arXiv:2205.09782 [hep-th].
  10. R. Angius, M. Delgado, and A. M. Uranga, “Dynamical Cobordism and the Beginning of Time: Supercritical Strings and Tachyon Condensation,” arXiv:2207.13108 [hep-th].
  11. R. Blumenhagen, N. Cribiori, C. Kneissl, and A. Makridou, “Dimensional Reduction of Cobordism and K-theory,” arXiv:2208.01656 [hep-th].
  12. Y. Tachikawa and K. Yonekura, “Why are fractional charges of orientifolds compatible with Dirac quantization?,” SciPost Phys. 7 no. 5, (2019) 058, arXiv:1805.02772 [hep-th].
  13. A. Debray, M. Dierigl, J. J. Heckman, and M. Montero, “The Chronicles of IIBordia: Dualities, Bordisms, and the Swampland,” To Appear .
  14. J. Distler, D. S. Freed, and G. W. Moore, “Orientifold Precis,” arXiv:0906.0795 [hep-th].
  15. A. Dabholkar and J. Park, “Strings on orientifolds,” Nucl. Phys. B 477 (1996) 701–714, arXiv:hep-th/9604178.
  16. S. Hellerman, “New type II string theories with sixteen supercharges,” arXiv:hep-th/0512045.
  17. O. Aharony, Z. Komargodski, and A. Patir, “The Moduli space and M(atrix) theory of 9d N=1 backgrounds of M/string theory,” JHEP 05 (2007) 073, arXiv:hep-th/0702195.
  18. A. S. Schwarz, “FIELD THEORIES WITH NO LOCAL CONSERVATION OF THE ELECTRIC CHARGE,” Nucl. Phys. B 208 (1982) 141–158.
  19. A. S. Schwarz and Y. S. Tyupkin, “GRAND UNIFICATION AND MIRROR PARTICLES,” Nucl. Phys. B 209 (1982) 427–432.
  20. M. Montero, “Cobordisms and F theory,”. {https://sites.google.com/view/strings-and-geometry-2022/program}.
  21. J. J. Heckman, “Reflections on F-theory and the Swampland Cobordism Conjecture,”. {http://www.maths.liv.ac.uk/stringpheno2022/program.html}.
  22. E. Witten, “The “Parity” Anomaly On An Unorientable Manifold,” Phys. Rev. B 94 no. 19, (2016) 195150, arXiv:1605.02391 [hep-th].
  23. C. Vafa, “Evidence for F theory,” Nucl. Phys. B 469 (1996) 403–418, arXiv:hep-th/9602022.
  24. D. R. Morrison and C. Vafa, “Compactifications of F-Theory on Calabi-Yau Threefolds – I,” Nucl. Phys. B 473 (1996) 74–92, arXiv:hep-th/9602114.
  25. D. R. Morrison and C. Vafa, “Compactifications of F-Theory on Calabi-Yau Threefolds – II,” Nucl. Phys. B 476 (1996) 437–469, arXiv:hep-th/9603161.
  26. T. Pantev and E. Sharpe, “Duality group actions on fermions,” JHEP 11 (2016) 171, arXiv:1609.00011 [hep-th].
  27. D. R. Morrison and W. Taylor, “Classifying bases for 6D F-theory models,” Central Eur. J. Phys. 10 (2012) 1072–1088, arXiv:1201.1943 [hep-th].
  28. I. Garcia-Etxebarria and D. Regalado, “𝒩=3𝒩3\mathcal{N}=3caligraphic_N = 3 four dimensional field theories,” JHEP 03 (2016) 083, arXiv:1512.06434 [hep-th].
  29. O. Aharony and Y. Tachikawa, “S-folds and 4d 𝒩=3𝒩3\mathcal{N}=3caligraphic_N = 3 superconformal field theories,” JHEP 06 (2016) 044, arXiv:1602.08638 [hep-th].
  30. J. McNamara, “Gravitational Solitons and Completeness,” arXiv:2108.02228 [hep-th].
  31. K. Dasgupta and S. Mukhi, “F-Theory at Constant Coupling,” Phys. Lett. B 385 (1996) 125–131, arXiv:hep-th/9606044.
  32. J. J. Heckman and L. Tizzano, “6D Fractional Quantum Hall Effect,” JHEP 05 (2018) 120, arXiv:1708.02250 [hep-th].
  33. J. J. Heckman, C. Lawrie, L. Lin, and G. Zoccarato, “F-theory and Dark Energy,” Fortsch. Phys. 67 no. 10, (2019) 1900057, arXiv:1811.01959 [hep-th].
  34. J. J. Heckman, A. Joyce, J. Sakstein, and M. Trodden, “Exploring 𝟐+𝟐22\boldsymbol{2+2}bold_2 bold_+ bold_2 Answers to 𝟑+𝟏31\boldsymbol{3+1}bold_3 bold_+ bold_1 Questions,” arXiv:2208.02267 [hep-th].
  35. A. Dabholkar, “Lectures on orientifolds and duality,” in ICTP Summer School in High-Energy Physics and Cosmology, pp. 128–191. 6, 1997. arXiv:hep-th/9804208.
  36. M. Frau, L. Gallot, A. Lerda, and P. Strigazzi, “Stable non-BPS D-branes in Type I String Theory,” Nucl. Phys. B 564 (2000) 60–85, arXiv:hep-th/9903123.
  37. A. Sen, “Non-BPS States and Branes in String Theory,” in Advanced School on Supersymmetry in the Theories of Fields, Strings and Branes, pp. 187–234. 1, 1999. arXiv:hep-th/9904207.
  38. A. Adams, J. Polchinski, and E. Silverstein, “Don’t panic! Closed string tachyons in ALE space-times,” JHEP 10 (2001) 029, arXiv:hep-th/0108075.
  39. E. Witten, “D-branes and K-theory,” JHEP 12 (1998) 019, arXiv:hep-th/9810188.
  40. O. Loaiza-Brito and A. M. Uranga, “The Fate of the type I nonBPS D7-brane,” Nucl. Phys. B 619 (2001) 211–231, arXiv:hep-th/0104173.
  41. T. Weigand, “F-theory,” PoS TASI2017 (2018) 016, arXiv:1806.01854 [hep-th].
  42. M. Cvetič, M. Dierigl, L. Lin, and H. Y. Zhang, “All eight- and nine-dimensional string vacua from junctions,” Phys. Rev. D 106 no. 2, (2022) 026007, arXiv:2203.03644 [hep-th].
  43. M. Cvetic, M. Dierigl, L. Lin, and H. Y. Zhang, “Higher-form symmetries and their anomalies in M-/F-theory duality,” Phys. Rev. D 104 no. 12, (2021) 126019, arXiv:2106.07654 [hep-th].
  44. C. G. Callan, Jr. and J. A. Harvey, “Anomalies and Fermion Zero Modes on Strings and Domain Walls,” Nucl. Phys. B 250 (1985) 427–436.
  45. M. Montero and H. Parra de Freitas, “New Supersymmetric String Theories from Discrete Theta Angles,” arXiv:2209.03361 [hep-th].
  46. S. Sethi, “A New String in Ten Dimensions?,” JHEP 09 (2013) 149, arXiv:1304.1551 [hep-th].
  47. E. Witten, “Instability of the Kaluza-Klein Vacuum,” Nucl. Phys. B 195 (1982) 481–492.
  48. P. Horava and E. Witten, “Eleven-dimensional supergravity on a manifold with boundary,” Nucl. Phys. B 475 (1996) 94–114, arXiv:hep-th/9603142.
  49. E. Witten, “An SU(2) Anomaly,” Phys. Lett. B 117 (1982) 324–328.
  50. C. Córdova and K. Ohmori, “Anomaly Obstructions to Symmetry Preserving Gapped Phases,” arXiv:1910.04962 [hep-th].
  51. E. Witten, “Fermion Path Integrals And Topological Phases,” Rev. Mod. Phys. 88 no. 3, (2016) 035001, arXiv:1508.04715 [cond-mat.mes-hall].
  52. T. Ortín, Gravity and Strings. Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2004.
  53. Y. Lee and K. Yonekura, “Global anomalies in 8d supergravity,” JHEP 07 (2022) 125, arXiv:2203.12631 [hep-th].
  54. J. Wang and Y.-Z. You, “Symmetric Mass Generation,” Symmetry 14 no. 7, (2022) 1475, arXiv:2204.14271 [cond-mat.str-el].
  55. L. Martucci, N. Risso, and T. Weigand, “Quantum Gravity Bounds on N=1 Effective Theories in Four Dimensions,” arXiv:2210.10797 [hep-th].
  56. C. V. Johnson, D-branes. Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2005.
  57. E. Witten, “On flux quantization in M theory and the effective action,” J. Geom. Phys. 22 (1997) 1–13, arXiv:hep-th/9609122.
  58. F. Bonetti, T. W. Grimm, and T. G. Pugh, “Non-Supersymmetric F-Theory Compactifications on S⁢p⁢i⁢n⁢(7)𝑆𝑝𝑖𝑛7Spin(7)italic_S italic_p italic_i italic_n ( 7 ) Manifolds,” JHEP 01 (2014) 112, arXiv:1307.5858 [hep-th].
  59. F. Bonetti, T. W. Grimm, E. Palti, and T. G. Pugh, “F-Theory on S⁢p⁢i⁢n⁢(7)𝑆𝑝𝑖𝑛7Spin(7)italic_S italic_p italic_i italic_n ( 7 ) Manifolds: Weak-Coupling Limit,” JHEP 02 (2014) 076, arXiv:1309.2287 [hep-th].
  60. J. J. Heckman, C. Lawrie, L. Lin, J. Sakstein, and G. Zoccarato, “Pixelated Dark Energy,” Fortsch. Phys. 67 no. 11, (2019) 1900071, arXiv:1901.10489 [hep-th].
  61. M. Cvetič, J. J. Heckman, T. B. Rochais, E. Torres, and G. Zoccarato, “Geometric Unification of Higgs Bundle Vacua,” Phys. Rev. D 102 no. 10, (2020) 106012, arXiv:2003.13682 [hep-th].
  62. M. Cvetič, J. J. Heckman, E. Torres, and G. Zoccarato, “Reflections on the matter of 3D N=1 vacua and local Spin(7) compactifications,” Phys. Rev. D 105 no. 2, (2022) 026008, arXiv:2107.00025 [hep-th].
  63. W. Nahm, “Supersymmetries and their Representations,” Nucl. Phys. B 135 (1978) 149.
  64. S. S. Gubser, I. R. Klebanov, and A. W. Peet, “Entropy and temperature of black 3-branes,” Phys. Rev. D 54 (1996) 3915–3919, arXiv:hep-th/9602135.
  65. S. S. Gubser, I. R. Klebanov, and A. A. Tseytlin, “String theory and classical absorption by three-branes,” Nucl. Phys. B 499 (1997) 217–240, arXiv:hep-th/9703040.
  66. {https://www.arbys.com/menu/roast-beef/}.
  67. J. Kaidi, J. Parra-Martinez, Y. Tachikawa, and w. a. m. a. b. A. Debray, “Topological Superconductors on Superstring Worldsheets,” SciPost Phys. 9 (2020) 10, arXiv:1911.11780 [hep-th].
  68. F. Bonetti and T. W. Grimm, “Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds,” JHEP 05 (2012) 019, arXiv:1112.1082 [hep-th].
  69. F. Bonetti, T. W. Grimm, and S. Hohenegger, “A Kaluza-Klein inspired action for chiral p-forms and their anomalies,” Phys. Lett. B 720 (2013) 424–427, arXiv:1206.1600 [hep-th].
  70. F. Bonetti, T. W. Grimm, and S. Hohenegger, “One-loop Chern-Simons terms in five dimensions,” JHEP 07 (2013) 043, arXiv:1302.2918 [hep-th].
  71. I. Garcia-Etxebarria, M. Montero, and A. M. Uranga, “Closed tachyon solitons in type II string theory,” Fortsch. Phys. 63 (2015) 571–595, arXiv:1505.05510 [hep-th].
  72. P. Corvilain, T. W. Grimm, and D. Regalado, “Chiral anomalies on a circle and their cancellation in F-theory,” JHEP 04 (2018) 020, arXiv:1710.07626 [hep-th].
  73. A. N. Redlich, “Gauge Noninvariance and Parity Violation of Three-Dimensional Fermions,” Phys. Rev. Lett. 52 (1984) 18.
  74. I. Garcia-Etxebarria and M. Montero, “Dai-Freed anomalies in particle physics,” JHEP 08 (2019) 003, arXiv:1808.00009 [hep-th].
  75. K. Yonekura, “Dai-Freed theorem and topological phases of matter,” JHEP 09 (2016) 022, arXiv:1607.01873 [hep-th].
  76. J.-M. Bismut and J. Cheeger, “Eta-invariants and their adiabatic limits,” Journal of the American Mathematical Society 2 no. 1, (1989) 33–70.
  77. W. Zhang, “Circle bundles, adiabatic limits of η𝜂\etaitalic_η-invariants and Rokhlin congruences,” Annales de l’Institut Fourier 44 no. 1, (1994) 249–270.
  78. X. Dai and W. Zhang, “Circle bundles and the kreck-stolz invariant,” Transactions of the American Mathematical Society 347 no. 9, (1995) 3587–3593.
  79. D. Martelli, A. Passias, and J. Sparks, “The supersymmetric NUTs and bolts of holography,” Nucl. Phys. B 876 (2013) 810–870, arXiv:1212.4618 [hep-th].
  80. J. T. Liu and R. Minasian, “Higher-derivative couplings in string theory: dualities and the B-field,” Nucl. Phys. B 874 (2013) 413–470, arXiv:1304.3137 [hep-th].
  81. H. Kim and P. Yi, “D-brane anomaly inflow revisited,” JHEP 02 (2012) 012, arXiv:1201.0762 [hep-th].
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