Constraints for topological strings in D => 1

Nov, 1994
29 pages
Published in:
  • Nucl.Phys.B 439 (1995) 395-420
e-Print:
Report number:
  • UT-694

Citations per year

1995200220092016202301234
Abstract:
New relations of correlation functions are found in topological string theory; one for each second cohomology class of the target space. They are close cousins of the Deligne-Dijkgraaf-Witten's puncture and dilaton equations. When combined with the dilaton equation and the ghost number conservation, the equation for the first chern class of the target space gives a constraint on the topological sum (over genera and (multi-)degrees) of partition functions. For the \CP~1 model, it coincides with the dilatation constraint which is derivable in the matrix model recently introduced by Eguchi and Yang.
  • string model: topological
  • constraint
  • dimension: >=1
  • correlation function
  • differential forms
  • cohomology
  • transformation: Becchi-Rouet-Stora
  • field theory: instanton
  • scattering amplitude
  • field theoretical model: CP(1)