Abstract
We revisit the Emergence Proposal in 4d \( \mathcal{N} \) = 2 vector multiplet sectors that arise from type II string Calabi-Yau compactifications, with emphasis on the role of axionic fundamental strings, or EFT strings. We focus on large-volume type IIA compactifications, where EFT strings arise from NS5-branes wrapping internal four-cycles, and consider a set of infinite-distance moduli-space limits that can be classified in terms of a scaling weight w = 1, 2, 3. It has been shown before how one-loop threshold effects of an infinite tower of BPS particles made up of D2/D0-branes generate the asymptotic behaviour of the gauge kinetic functions along limits with w = 3. We extend this result to w = 2 limits, by taking into account D2-brane multi-wrapping numbers. In w = 1 limits the leading tower involves EFT string oscillations, and one can reproduce the behaviour of both weakly and strongly-coupled U(1)’s independently on whether the EFT string is critical or not, by assuming that charged modes dominate the light spectrum.
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References
H. Ooguri and C. Vafa, On the Geometry of the String Landscape and the Swampland, Nucl. Phys. B 766 (2007) 21 [hep-th/0605264] [INSPIRE].
C. Vafa, The String landscape and the swampland, Technical Report HUTP-05-A043 (2005) [INSPIRE].
T.D. Brennan, F. Carta and C. Vafa, The String Landscape, the Swampland, and the Missing Corner, PoS TASI2017 (2017) 015 [arXiv:1711.00864] [INSPIRE].
E. Palti, The Swampland: Introduction and Review, Fortsch. Phys. 67 (2019) 1900037 [arXiv:1903.06239] [INSPIRE].
M. van Beest, J. Calderón-Infante, D. Mirfendereski and I. Valenzuela, Lectures on the Swampland Program in String Compactifications, Phys. Rept. 989 (2022) 1 [arXiv:2102.01111] [INSPIRE].
M. Graña and A. Herráez, The Swampland Conjectures: A Bridge from Quantum Gravity to Particle Physics, Universe 7 (2021) 273 [arXiv:2107.00087] [INSPIRE].
D. Harlow, B. Heidenreich, M. Reece and T. Rudelius, The Weak Gravity Conjecture: A Review, Technical Report ACFI-T22-01 (2022) [INSPIRE].
T.W. Grimm, E. Palti and I. Valenzuela, Infinite Distances in Field Space and Massless Towers of States, JHEP 08 (2018) 143 [arXiv:1802.08264] [INSPIRE].
A. Strominger, Massless black holes and conifolds in string theory, Nucl. Phys. B 451 (1995) 96 [hep-th/9504090] [INSPIRE].
D. Harlow, Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture, JHEP 01 (2016) 122 [arXiv:1510.07911] [INSPIRE].
B. Heidenreich, M. Reece and T. Rudelius, Emergence of Weak Coupling at Large Distance in Quantum Gravity, Phys. Rev. Lett. 121 (2018) 051601 [arXiv:1802.08698] [INSPIRE].
N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force, JHEP 06 (2007) 060 [hep-th/0601001] [INSPIRE].
B. Heidenreich, M. Reece and T. Rudelius, The Weak Gravity Conjecture and Emergence from an Ultraviolet Cutoff, Eur. Phys. J. C 78 (2018) 337 [arXiv:1712.01868] [INSPIRE].
T.W. Grimm, C. Li and E. Palti, Infinite Distance Networks in Field Space and Charge Orbits, JHEP 03 (2019) 016 [arXiv:1811.02571] [INSPIRE].
P. Corvilain, T.W. Grimm and I. Valenzuela, The Swampland Distance Conjecture for Kähler moduli, JHEP 08 (2019) 075 [arXiv:1812.07548] [INSPIRE].
S.-J. Lee, W. Lerche and T. Weigand, Emergent strings from infinite distance limits, JHEP 02 (2022) 190 [arXiv:1910.01135] [INSPIRE].
S. Lanza, F. Marchesano, L. Martucci and I. Valenzuela, Swampland Conjectures for Strings and Membranes, JHEP 02 (2021) 006 [arXiv:2006.15154] [INSPIRE].
S. Lanza, F. Marchesano, L. Martucci and I. Valenzuela, The EFT stringy viewpoint on large distances, JHEP 09 (2021) 197 [arXiv:2104.05726] [INSPIRE].
S. Lanza, F. Marchesano, L. Martucci and I. Valenzuela, Large Field Distances from EFT strings, PoS CORFU2021 (2022) 169 [arXiv:2205.04532] [INSPIRE].
B. Heidenreich, M. Reece and T. Rudelius, The Weak Gravity Conjecture and axion strings, JHEP 11 (2021) 004 [arXiv:2108.11383] [INSPIRE].
A. Castellano, A. Herráez and L.E. Ibáñez, The Emergence Proposal in Quantum Gravity and the Species Scale, Technical Report IFT-UAM/CSIC-22-149 (2022) [INSPIRE].
S. Ferrara and S. Sabharwal, Dimensional Reduction of Type II Superstrings, Class. Quant. Grav. 6 (1989) L77 [INSPIRE].
L. Andrianopoli et al., N = 2 supergravity and N = 2 superYang-Mills theory on general scalar manifolds: Symplectic covariance, gaugings and the momentum map, J. Geom. Phys. 23 (1997) 111 [hep-th/9605032] [INSPIRE].
G. Buratti, J. Calderón-Infante, M. Delgado and A.M. Uranga, Dynamical Cobordism and Swampland Distance Conjectures, JHEP 10 (2021) 037 [arXiv:2107.09098] [INSPIRE].
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] [INSPIRE].
F. Marchesano and M. Wiesner, 4d strings at strong coupling, JHEP 08 (2022) 004 [arXiv:2202.10466] [INSPIRE].
C.F. Cota, A. Mininno, T. Weigand and M. Wiesner, The asymptotic Weak Gravity Conjecture for open strings, JHEP 11 (2022) 058 [arXiv:2208.00009] [INSPIRE].
L. Martucci, N. Risso and T. Weigand, Quantum Gravity Bounds on N = 1 Effective Theories in Four Dimensions, arXiv:2210.10797 [INSPIRE].
M. Wiesner, Light Strings and Strong Coupling in F-theory, arXiv:2210.14238 [INSPIRE].
S. Dimopoulos, S. Kachru, J. McGreevy and J.G. Wacker, N-flation, JCAP 08 (2008) 003 [hep-th/0507205] [INSPIRE].
G. Dvali, Black Holes and Large N Species Solution to the Hierarchy Problem, Fortsch. Phys. 58 (2010) 528 [arXiv:0706.2050] [INSPIRE].
G. Dvali and M. Redi, Black Hole Bound on the Number of Species and Quantum Gravity at LHC, Phys. Rev. D 77 (2008) 045027 [arXiv:0710.4344] [INSPIRE].
S. Katz, H.-C. Kim, H.-C. Tarazi and C. Vafa, Swampland Constraints on 5d \( \mathcal{N} \) = 1 Supergravity, JHEP 07 (2020) 080 [arXiv:2004.14401] [INSPIRE].
E. Bergshoeff, R. Kallosh, T. Ortin, D. Roest and A. Van Proeyen, New formulations of D = 10 supersymmetry and D8-O8 domain walls, Class. Quant. Grav. 18 (2001) 3359 [hep-th/0103233] [INSPIRE].
A. Herraez, L.E. Ibanez, F. Marchesano and G. Zoccarato, The Type IIA Flux Potential, 4-forms and Freed-Witten anomalies, JHEP 09 (2018) 018 [arXiv:1802.05771] [INSPIRE].
R. D’Auria, S. Ferrara and P. Fre, Special and quaternionic isometries: General couplings in N = 2 supergravity and the scalar potential, Nucl. Phys. B 359 (1991) 705 [INSPIRE].
J. Louis and A. Micu, Type 2 theories compactified on Calabi-Yau threefolds in the presence of background fluxes, Nucl. Phys. B 635 (2002) 395 [hep-th/0202168] [INSPIRE].
S. Bielleman, L.E. Ibanez and I. Valenzuela, Minkowski 3-forms, Flux String Vacua, Axion Stability and Naturalness, JHEP 12 (2015) 119 [arXiv:1507.06793] [INSPIRE].
F. Carta, F. Marchesano, W. Staessens and G. Zoccarato, Open string multi-branched and Kähler potentials, JHEP 09 (2016) 062 [arXiv:1606.00508] [INSPIRE].
E. Palti, G. Tasinato and J. Ward, WEAKLY-coupled IIA Flux Compactifications, JHEP 06 (2008) 084 [arXiv:0804.1248] [INSPIRE].
D. Escobar, F. Marchesano and W. Staessens, Type IIA flux vacua and α′-corrections, JHEP 06 (2019) 129 [arXiv:1812.08735] [INSPIRE].
H. Ooguri, E. Palti, G. Shiu and C. Vafa, Distance and de Sitter Conjectures on the Swampland, Phys. Lett. B 788 (2019) 180 [arXiv:1810.05506] [INSPIRE].
P. Candelas, A. Font, S.H. Katz and D.R. Morrison, Mirror symmetry for two parameter models. 2., Nucl. Phys. B 429 (1994) 626 [hep-th/9403187] [INSPIRE].
A. Castellano, A. Herráez and L.E. Ibáñez, IR/UV mixing, towers of species and swampland conjectures, JHEP 08 (2022) 217 [arXiv:2112.10796] [INSPIRE].
Z. Guralnik and S. Ramgoolam, Torons and D-brane bound states, Nucl. Phys. B 499 (1997) 241 [hep-th/9702099] [INSPIRE].
R. Rabadan, Branes at angles, torons, stability and supersymmetry, Nucl. Phys. B 620 (2002) 152 [hep-th/0107036] [INSPIRE].
D. Cremades, L.E. Ibanez and F. Marchesano, Computing Yukawa couplings from magnetized extra dimensions, JHEP 05 (2004) 079 [hep-th/0404229] [INSPIRE].
A. Font, A. Herráez and L.E. Ibáñez, The Swampland Distance Conjecture and Towers of Tensionless Branes, JHEP 08 (2019) 044 [arXiv:1904.05379] [INSPIRE].
S.-J. Lee, W. Lerche and T. Weigand, Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions, JHEP 08 (2019) 104 [arXiv:1901.08065] [INSPIRE].
S.-J. Lee, W. Lerche and T. Weigand, Tensionless Strings and the Weak Gravity Conjecture, JHEP 10 (2018) 164 [arXiv:1808.05958] [INSPIRE].
P. Candelas, X. De La Ossa, A. Font, S.H. Katz and D.R. Morrison, Mirror symmetry for two parameter models. 1, Nucl. Phys. B 416 (1994) 481 [hep-th/9308083] [INSPIRE].
S. Hosono, A. Klemm, S. Theisen and S.-T. Yau, Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces, Commun. Math. Phys. 167 (1995) 301 [hep-th/9308122] [INSPIRE].
E. Scheidegger, D-Branes on Calabi-Yau Spaces, Ph.D. Thesis, Ludwig Maximilian University of Munich, Munich, Germany (2001), https://doi.org/10.5282/edoc.445.
F. Marchesano and M. Wiesner, Instantons and infinite distances, JHEP 08 (2019) 088 [arXiv:1904.04848] [INSPIRE].
T.W. Grimm and D. Van De Heisteeg, Infinite Distances and the Axion Weak Gravity Conjecture, JHEP 03 (2020) 020 [arXiv:1905.00901] [INSPIRE].
F. Baume, F. Marchesano and M. Wiesner, Instanton Corrections and Emergent Strings, JHEP 04 (2020) 174 [arXiv:1912.02218] [INSPIRE].
R. Gopakumar and C. Vafa, M theory and topological strings. 1, Technical Report HUTP-98-A069 (1998) [INSPIRE].
R. Gopakumar and C. Vafa, M theory and topological strings. 2, Technical Report HUTP-98-A070 (1998) [INSPIRE].
W. Sabra and O. Vaughan, 10D to 4D Euclidean Supergravity over a Calabi-Yau three-fold, Class. Quant. Grav. 33 (2016) 015010 [arXiv:1503.05095] [INSPIRE].
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Marchesano, F., Melotti, L. EFT strings and emergence. J. High Energ. Phys. 2023, 112 (2023). https://doi.org/10.1007/JHEP02(2023)112
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DOI: https://doi.org/10.1007/JHEP02(2023)112