Discrete symmetries, weak coupling conjecture and scale separation in AdS vacua
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Springer
Received: April 1, 2020 Accepted: May 26, 2020 Published: June 12, 2020
Ginevra Buratti, Jos´ e Calder´ on, Alessandro Mininno and Angel M. Uranga Instituto de F´ısica Te´ orica IFT-UAM/CSIC, C/ Nicol´ as Cabrera 13-15, Campus de Cantoblanco, 28049 Madrid, Spain
E-mail: [email protected], [email protected], [email protected], [email protected] Abstract: We argue that in theories of quantum gravity with discrete gauge symmetries, e.g. Zk , the gauge couplings of U(1) gauge symmetries become weak in the limit of large k, as g → k −α with α a positive order 1 coefficient. The conjecture is based on black hole arguments combined with the Weak Gravity Conjecture (or the BPS bound in the supersymmetric setup), and the species bound. We provide explicit examples based on type IIB on AdS5 × S5 /Zk orbifolds, and M-theory on AdS4 × S7 /Zk ABJM orbifolds (and their type IIA reductions). We study AdS4 vacua of type IIA on CY orientifold compactifications, and show that the parametric scale separation in certain infinite families is controlled by a discrete Zk symmetry for domain walls. We accordingly propose a refined version of the strong AdS Distance Conjecture, including a parametric dependence on the order of the discrete symmetry for 3-forms. Keywords: Discrete Symmetries, Flux compactifications, Superstring Vacua, Supersymmetric Effective Theories ArXiv ePrint: 2003.09740
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP06(2020)083
JHEP06(2020)083
Discrete symmetries, weak coupling conjecture and scale separation in AdS vacua
Contents 1
2 The Zk weak coupling conjecture 2.1 A black hole argument 2.1.1 Review of some mass bound derivations 2.1.2 The Zk weak gravity conjecture 2.1.3 The Zk weak coupling conjecture 2.2 Distance conjectures
4 4 4 5 6 7
3 AdS5 × S5 orbifolds
8
4 M-theory orbifolds and ABJM 4.1 M-theory on AdS4 × S7 /Zk 4.2 Type IIA description of ABJM vacua
12 12 14
5 Discrete 3-form symmetries and scale separation in AdS solutions 16 5.1 Review of scaling AdS4 vacua with scale separation 17 5.2 The discrete 3-form symmetry 19 5.3 Scaling relations for moduli from discrete symmetries 21 5.4 Discrete symmetries and scale separation 23 5.4.1 Vacuum energy from domain walls 24 5.4.2 Warm-up examples: no scale separation 24 5.4.3 Revisiting the scale separation in type IIA CY flux compactifications 26 A Species bound for extremal black holes
27
B Discrete symmetries in intersecting brane models
28
C Gauge couplings in type IIA CY compactifications
30
D Junction conditions for AdS vacua
32
1
Introduction and conclusions
By now there is a substantial amount of swampland conjectures constraining effective field theories to be compatible with Quantum Gravity [1–6] (see [7, 8] for reviews). They have led to interesting insights into phenomenological applications of string theory models. Interestingly, many of these works focus on the properties of continuous gauge symmetries, whereas far fewer results have been obtained to c
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