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.
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
differential
ⓘ
mathematical object ⓘ meromorphic one-form ⓘ |
| appearsIn | Seiberg–Witten 1994 solution of SU(2) N=2 Yang–Mills theory NERFINISHED ⓘ |
| associatedWith |
Hitchin systems
NERFINISHED
ⓘ
integrable systems ⓘ spectral curves ⓘ |
| definedOn | Seiberg–Witten curve NERFINISHED ⓘ |
| 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 NERFINISHED ⓘ supersymmetric gauge theory ⓘ |
| hasAnalyticProperty | meromorphic ⓘ |
| hasDomain | Seiberg–Witten curve NERFINISHED ⓘ |
| hasMathematicalNature | one-form ⓘ |
| hasPeriods |
a- and a_D-periods
ⓘ
electric periods ⓘ magnetic periods ⓘ |
| hasRole |
Seiberg–Witten data
NERFINISHED
ⓘ
Seiberg–Witten geometry NERFINISHED ⓘ |
| integratedOver | homology cycles of the Seiberg–Witten curve ⓘ |
| mathematicalContext |
Riemann surfaces
NERFINISHED
ⓘ
complex algebraic curves ⓘ |
| namedAfter |
Edward Witten
NERFINISHED
ⓘ
Nathan Seiberg NERFINISHED ⓘ |
| periodsGive |
central charges of BPS states
ⓘ
effective gauge couplings ⓘ electric charges ⓘ magnetic charges ⓘ |
| relatedTo |
Coulomb branch of moduli space
ⓘ
Seiberg–Witten prepotential NERFINISHED ⓘ Seiberg–Witten solution of N=2 gauge theories NERFINISHED ⓘ 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 NERFINISHED ⓘ four-dimensional N=2 supersymmetric Yang–Mills theory ⓘ low-energy effective description of supersymmetric gauge theories ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.