Genus 2 Seiberg-Witten curves for rank 2 N $$ \mathcal{N} $$ =4 superYang-Mills theories
Abstract We determine new genus 2 Seiberg-Witten curves for four dimensional rank 2 absolute N $$ \mathcal{N} $$ =4 superYang-Mills theories using the automorphism twist approach. The conformal manifolds of these curves agree with those predicted by S-duality orbits of global structures, and we use...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2024)145 |
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| Summary: | Abstract We determine new genus 2 Seiberg-Witten curves for four dimensional rank 2 absolute N $$ \mathcal{N} $$ =4 superYang-Mills theories using the automorphism twist approach. The conformal manifolds of these curves agree with those predicted by S-duality orbits of global structures, and we use this to identify which of the two S-duality orbits of the so 5 ≃ sp 4 $$ \mathfrak{so}(5)\simeq \mathfrak{sp}(4) $$ superYang-Mills theory the genus-2 curve corresponds to. We also compare the curves to earlier constructions of Seiberg-Witten curves for these theories as spectral curves of integrable systems. These spectral curves have genus greater than the rank, and so only give a Coulomb branch geometry upon projection to a sublattice of the homology lattice of the curves. We show how to determine the correct sublattice projection, and find that the integrable system curves do not apply to our theories. |
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| ISSN: | 1029-8479 |