Zobrazeno 1 - 10
of 185
pro vyhledávání: '"Braden, H."'
Autor:
Braden, H. W., Disney-Hogg, Linden
We show that any $SU(2)$ BPS monopole of charge $k$ with rotational spatial dihedral symmetry is gauge equivalent to the Nahm data obtained from affine Toda equations of $C_l^{(1)}$ type when $k=2l$ or $A_{2(l-1)}^{(2)}$ type when $k=2l-1$.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/2407.20747
Autor:
Braden, H. W., Disney-Hogg, Linden
The theta characteristics on a Riemann surface are permuted by the induced action of the automorphism group, with the orbit structure being important for the geometry of the curve and associated manifolds. We describe two new methods for advancing th
Externí odkaz:
http://arxiv.org/abs/2404.09890
Autor:
Braden, H. W., Disney-Hogg, Linden
Publikováno v:
Lett Math Phys 113, 87 (2023)
We classify all possible charge-3 monopole spectral curves with non-trivial automorphism group and within these identify those with elliptic quotients. By focussing on elliptic quotients the transcendental constraints for a monopole spectral curve be
Externí odkaz:
http://arxiv.org/abs/2303.18189
Autor:
Braden, H. W., Disney-Hogg, Linden
Publikováno v:
European Journal of Mathematics 10, 3 (2024)
Bring's curve, the unique Riemann surface of genus-4 with automorphism group $S_5$, has many exceptional properties. We review, give new proofs of, and extend a number of these including giving the complete realisation of the automorphism group for a
Externí odkaz:
http://arxiv.org/abs/2208.13692
We construct high rank solutions to Nahm's equations for boundary conditions that correspond to the Dirac multimonopole. Here, the spectral curve is explicitly known and we achieve the integration by constructing a basis of polynomial tuples that for
Externí odkaz:
http://arxiv.org/abs/2204.07822
Autor:
Braden, H. W., Enolski, V. Z.
Recently we have shown how one may use use integrable systems techniques to implement the ADHMN construction and obtain general analytic formulae for the charge n su(2) Euclidean monopole. Here we do this for the case of charge 2: so answering an ope
Externí odkaz:
http://arxiv.org/abs/1903.00694
Autor:
Braden, H. W.
Some arithmetic properties of spectral curves are discussed: the spectral curve, for example, of a charge $n\ge2$ Euclidean BPS monopole is not defined over $\overline{\mathbb{Q}}$ if smooth.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1812.11093
Autor:
Braden, H. W.
We present a canonical form for a symplectic involution $S\in Sp(2g,\mathbb{Z})$, $S^2=1$; the construction is algorithmic. Application is made in the Riemann surface setting.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1801.03320
Autor:
Seiser, Reinhard, Olstad, Jessica L., Magrini, Kimberly A., Jackson, Rebecca D., Peterson, Braden H., Christensen, Earl D., Talmadge, Michael S.
Publikováno v:
In Biomass and Bioenergy August 2022 163
Autor:
Braden, H. W., Enolski, V. Z.
We show that the Higgs and gauge fields for a BPS monopole may be constructed directly from the spectral curve without having to solve the gauge constraint needed to obtain the Nahm data. The result is the analogue of the instanton result: given ADHM
Externí odkaz:
http://arxiv.org/abs/1708.09660