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

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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