Seiberg–Witten differential

E860093

The Seiberg–Witten differential is a meromorphic one-form on the Seiberg–Witten curve whose periods encode the low-energy effective couplings and BPS spectrum of certain supersymmetric gauge theories.

All labels observed (1)

Label Occurrences
Seiberg–Witten differential canonical 2

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf differential ⓘ
mathematical object ⓘ
meromorphic one-form ⓘ
appearsIn Seiberg–Witten 1994 solution of SU(2) N=2 Yang–Mills theory ⓘ
associatedWith Hitchin systems ⓘ
linked to: Hitchin system

integrable systems ⓘ
spectral curves ⓘ
definedOn Seiberg–Witten curve ⓘ
dependsOn Coulomb branch moduli ⓘ
gauge coupling constants ⓘ
mass parameters ⓘ
encodes BPS spectrum ⓘ
central charges of BPS states ⓘ
low-energy effective couplings ⓘ
special Kähler geometry on the Coulomb branch ⓘ
field algebraic geometry ⓘ
mathematical physics ⓘ
string theory ⓘ
supersymmetric gauge theory ⓘ
hasAnalyticProperty meromorphic ⓘ
hasDomain Seiberg–Witten curve ⓘ
hasMathematicalNature one-form ⓘ
hasPeriods a- and a_D-periods ⓘ
electric periods ⓘ
magnetic periods ⓘ
hasRole Seiberg–Witten data ⓘ
Seiberg–Witten geometry ⓘ
integratedOver homology cycles of the Seiberg–Witten curve ⓘ
mathematicalContext Riemann surfaces ⓘ
complex algebraic curves ⓘ
namedAfter Edward Witten ⓘ
Nathan Seiberg ⓘ
periodsGive central charges of BPS states ⓘ
effective gauge couplings ⓘ
electric charges ⓘ
magnetic charges ⓘ
relatedTo Coulomb branch of moduli space ⓘ
Seiberg–Witten prepotential ⓘ
Seiberg–Witten solution of N=2 gauge theories ⓘ
special geometry ⓘ
usedFor computing low-energy effective action ⓘ
computing prepotential ⓘ
constructing special Kähler structure on moduli space ⓘ
determining BPS mass spectrum ⓘ
usedIn N=2 supersymmetric gauge theory ⓘ
Seiberg–Witten theory ⓘ
four-dimensional N=2 supersymmetric Yang–Mills theory ⓘ
low-energy effective description of supersymmetric gauge theories ⓘ

How these facts were elicited

Referenced by (2)

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

Seiberg–Witten theory → introduces → Seiberg–Witten differential ⓘ
Seiberg–Witten curve → togetherWith → Seiberg–Witten differential ⓘ