Seiberg–Witten curve

E860092

The Seiberg–Witten curve is an auxiliary complex algebraic curve encoding the low-energy effective dynamics of certain supersymmetric gauge theories, particularly their moduli spaces and BPS spectra.

All labels observed (3)

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf Riemann surface ⓘ
algebraic curve ⓘ
auxiliary curve in quantum field theory ⓘ
complex curve ⓘ
tool in supersymmetric gauge theory ⓘ
appearsIn Seiberg–Witten solution of N=2 SU(2) gauge theory ⓘ
Seiberg–Witten theory ⓘ
context N=2 supersymmetry ⓘ
four-dimensional quantum field theory ⓘ
definedOver complex numbers ⓘ
determines period matrix of the effective theory ⓘ
prepotential of the low-energy effective action ⓘ
encodes BPS spectrum ⓘ
Coulomb branch moduli space ⓘ
central charges of BPS states ⓘ
effective gauge couplings ⓘ
low-energy effective dynamics ⓘ
special Kähler geometry of the Coulomb branch ⓘ
generalizationOf elliptic curve in SU(2) N=2 theory ⓘ
hasPart meromorphic Seiberg–Witten differential ⓘ
hasProperty degenerates at singular points of moduli space ⓘ
depends on Coulomb branch parameters ⓘ
genus equals rank of gauge group in many examples ⓘ
introducedBy Edward Witten ⓘ
Nathan Seiberg ⓘ
introducedIn mid-1990s ⓘ
mathematicalArea algebraic geometry ⓘ
complex geometry ⓘ
namedAfter Edward Witten ⓘ
Nathan Seiberg ⓘ
physicalArea high-energy theoretical physics ⓘ
string theory ⓘ
relatedTo Hitchin system ⓘ
M-theory fivebrane constructions ⓘ
electric–magnetic duality ⓘ
geometric engineering of gauge theories ⓘ
integrable systems ⓘ
moduli space of vacua ⓘ
monodromy of the Coulomb branch ⓘ
spectral curves of integrable systems ⓘ
togetherWith Seiberg–Witten differential ⓘ
usedFor computing BPS masses ⓘ
computing effective couplings ⓘ
describing confinement and monopole condensation ⓘ
studying singularities of moduli space ⓘ
usedIn N=2 supersymmetric gauge theory ⓘ
low-energy effective field theory ⓘ
supersymmetric gauge theory ⓘ

How these facts were elicited

Referenced by (6)

Full triples — surface form annotated when it differs from this entity's canonical label.

Seiberg–Witten theory → introduces → Seiberg–Witten curve ⓘ
Seiberg–Witten differential → definedOn → Seiberg–Witten curve ⓘ
Seiberg–Witten differential → hasDomain → Seiberg–Witten curve ⓘ
Seiberg–Witten differential → hasRole → Seiberg–Witten data ⓘ
linked to: Seiberg–Witten curve
Seiberg–Witten differential → hasRole → Seiberg–Witten geometry ⓘ
linked to: Seiberg–Witten curve
Nathan Seiberg → notableWork → Seiberg–Witten curve ⓘ