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Tachyons and misaligned supersymmetry in closed string vacua.
- Source :
- Journal of High Energy Physics; Jun2023, Vol. 2023 Issue 6, p1-29, 29p
- Publication Year :
- 2023
-
Abstract
- In a remarkable paper, Dienes discovered that the absence of physical tachyons in closed string theory is intimately related to oscillations in the net number of bosonic minus fermionic degrees of freedom, a pattern predicted by an underlying misaligned supersymmetry. The average of these oscillations was linked to an exponential growth controlled by an effective central charge C<subscript>eff</subscript> smaller than the expected inverse Hagedorn temperature. Dienes also conjectured that C<subscript>eff</subscript> should vanish when tachyons are absent. In this paper, we revisit this problem and show that boson-fermion oscillations are realised even when tachyons are present in the physical spectrum. In fact, we prove that the average growth rate C<subscript>eff</subscript> is set by the mass of the "lightest" state, be it massless or tachyonic, and coincides with the effective inverse Hagedorn temperature of the associated thermal theory. We also provide a general proof that the necessary and sufficient condition for classical stability is the vanishing of the sector averaged sum which implies C<subscript>eff</subscript> = 0, in agreement with Dienes' conjecture. [ABSTRACT FROM AUTHOR]
- Subjects :
- TACHYONS
STRING theory
DEGREES of freedom
DIOLEFINS
OSCILLATIONS
SUPERSYMMETRY
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2023
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 165036587
- Full Text :
- https://doi.org/10.1007/JHEP06(2023)174