publication . Preprint . Article . 1992

Open string diagrams I: topological type

Subhashis Nag; Parameswaran Sankaran;
Open Access English
  • Published: 03 Aug 1992
Abstract
An arbitrary Feynman graph for string field theory interactions is analysed and the homeomorphism type of the corresponding world sheet surface is completely determined even in the non-orientable cases. Algorithms are found to mechanically compute the topological characteristics of the resulting surface from the structure of the signed oriented graph. Whitney's permutation-theoretic coding of graphs is utilized.
Subjects
ACM Computing Classification System: MathematicsofComputing_DISCRETEMATHEMATICS
free text keywords: Mathematics - Algebraic Geometry, High Energy Physics - Theory

[9] [R] D.Rolfsen, Knots and Links, Publish or Perish, 1976.

[10] [Rot] J.Rotman, An Introduction to Algebraic Topology, Springer Verlag, 1988.

[11] [S] S.Samuel, Solving the open bosonic string in perturbation theory, Nucl. Phys. B. 341, 1990, 513.

[12] [W] E. Witten, Non-commutative geometry and string field theory, Nucl. Phys.B., 268, 1986, 253.

[13] [Z1] B.Zwiebach, Minimal area problems and quantum open strings, Commun. Math. Phys., 141, 1991, 577-592. [OpenAIRE]

[14] [Z2] B.Zwiebach, A proof that Witten's open string theory gives a single cover of moduli space, Commun. Math. Phys. 142, 1991, 193-216. [OpenAIRE]

Powered by OpenAIRE Research Graph
Any information missing or wrong?Report an Issue