Supersymmetry, Supergravity and Non--Perturbative Dynamics of Gauge Theories
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| author | Obikhod, Tetiana |
| author_facet | Obikhod, Tetiana |
| contents | We present a review of supersymmetry, supergravity, and the non-perturbative dynamics of gauge theories, tracing a path from the supersymmetry algebra to moduli stabilisation and de~Sitter vacua in string theory. Representations of the supersymmetry algebra, the superspace formalism, and basic models including the Wess--Zumino model and $\mathcal{N}=1$ supersymmetric Yang--Mills theory are discussed. The non-perturbative dynamics of $\mathcal{N}=2$ gauge theories is analysed through the Seiberg--Witten solution: the curve, prepotential, Picard--Fuchs system, BPS spectrum, and confinement via monopole condensation. The transition to $\mathcal{N}=1$ supergravity is carried out in three steps, showing how the Kähler potential $K$ and superpotential $W$ determine all five Lagrangian sectors and how the scalar potential acquires its exponential prefactor and gravitationally induced negative contribution. String theory applications include D-brane gauge theories, the AdS/CFT correspondence, geometric engineering of the Seiberg--Witten solution, and reduction of $\mathcal{N}=4$ to $\mathcal{N}=1$ supersymmetry. The KKLT moduli stabilisation mechanism is analysed in detail, including $α'^3$ corrections to the Kähler potential. Three regimes of the scalar potential are identified -- classical KKLT, corrected KKLT with a shifted AdS minimum, and a runaway regime -- and the critical parameter $\hatξ_c$ separating controlled de~Sitter vacua from decompactification is determined. The tension with the de~Sitter swampland conjecture is discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19817 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Supersymmetry, Supergravity and Non--Perturbative Dynamics of Gauge Theories Obikhod, Tetiana High Energy Physics - Theory We present a review of supersymmetry, supergravity, and the non-perturbative dynamics of gauge theories, tracing a path from the supersymmetry algebra to moduli stabilisation and de~Sitter vacua in string theory. Representations of the supersymmetry algebra, the superspace formalism, and basic models including the Wess--Zumino model and $\mathcal{N}=1$ supersymmetric Yang--Mills theory are discussed. The non-perturbative dynamics of $\mathcal{N}=2$ gauge theories is analysed through the Seiberg--Witten solution: the curve, prepotential, Picard--Fuchs system, BPS spectrum, and confinement via monopole condensation. The transition to $\mathcal{N}=1$ supergravity is carried out in three steps, showing how the Kähler potential $K$ and superpotential $W$ determine all five Lagrangian sectors and how the scalar potential acquires its exponential prefactor and gravitationally induced negative contribution. String theory applications include D-brane gauge theories, the AdS/CFT correspondence, geometric engineering of the Seiberg--Witten solution, and reduction of $\mathcal{N}=4$ to $\mathcal{N}=1$ supersymmetry. The KKLT moduli stabilisation mechanism is analysed in detail, including $α'^3$ corrections to the Kähler potential. Three regimes of the scalar potential are identified -- classical KKLT, corrected KKLT with a shifted AdS minimum, and a runaway regime -- and the critical parameter $\hatξ_c$ separating controlled de~Sitter vacua from decompactification is determined. The tension with the de~Sitter swampland conjecture is discussed. |
| title | Supersymmetry, Supergravity and Non--Perturbative Dynamics of Gauge Theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.19817 |