Mass formula and Oort's conjecture for supersingular abelian threefolds

Abstract We study the charge-to-mass ratios of BPS states in four-dimensional $$ \mathcal{N} $$ N = 2 supergravities arising from Calabi-Yau threefold compactifications of Type IIB string theory. We present a formula for the asymptotic charge-to-mass ratio valid for all limits in complex structure moduli space. This is achieved by using the sl(2)-structure that emerges in any such limit as described by asymptotic Hodge theory. The asymptotic charge-to-mass formula applies for sl(2)-elementary states that couple to the graviphoton asymptotically. Using this formula, we determine the radii of the ellipsoid that forms the extremality region of electric BPS black holes, which provides us with a general asymptotic bound on the charge-to-mass ratio for these theories. Finally, we comment on how these bounds for the Weak Gravity Conjecture relate to their counterparts in the asymptotic de Sitter Conjecture and Swampland Distance Conjecture.

Download Full-text

Lepton family symmetry and possible application to the Koide mass formula

Physics Letters B ◽

10.1016/j.physletb.2007.04.020 ◽

2007 ◽

Vol 649 (4) ◽

pp. 287-291 ◽

Cited By ~ 20

Author(s):

Ernest Ma

Keyword(s):

Mass Formula ◽

Family Symmetry ◽

Lepton Family

Download Full-text

RELATIVISTIC MEAN FIELD THEORETICAL FOUNDATION OF THE DROPLET MODEL FOR NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301302000673 ◽

2002 ◽

Vol 11 (01) ◽

pp. 55-65 ◽

Cited By ~ 1

Author(s):

CHUN-YUAN GAO ◽

QI-REN ZHANG

Keyword(s):

Mass Formula ◽

Energy Surface ◽

Theoretical Foundation ◽

Mean Field Theory ◽

Mean Field ◽

Binding Energies ◽

Droplet Model ◽

Relativistic Mean Field ◽

Theoretical Foundations ◽

Type Mass

The binding energies per-nucleon for 1654 nuclei, whose mass numbers range from 16 to 263 and charge numbers range from 8 to 106, are calculated by the relativistic mean field theory, with finite nucleon size effect being taken into account. The calculated energy surface goes through the middle of experimental points, and the root mean square deviation for the binding energies per-nucleon is 0.08163 MeV. The numerical results may be well simulated by a droplet model type mass formula. The droplet model is therefore put on the relativistic mean field theoretical foundations.

Download Full-text