Bernoulli number identities from quantum field theory and topological string theory

Bernoulli Number Identities from Quantum Field Theory

We present a new method for the derivation of convolution identities for finite sums of products of Bernoulli numbers. Our approach is motivated by the role of these identities in quantum field theory and string theory. We first show that the Miki identity and the Faber-Pandharipande-Zagier (FPZ) identity are closely related, and give simple unified proofs which naturally yield a new Bernoulli ...

Topological quantum field theory and crossing number

In this paper, we construct a new topological quantum field theory of cohomological type and show that its partition function is a crossing number.

String Theory and Quantum Field Theory

Topological Quantum Field Theory

A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally. The model may also be interesting from a physical vie...

superstring scatterng from dbranes and wess zumino terms in string theory

دو هدف را برای انجام این پایان نامه دنبال می کنیم . نشان می دهیم که بسط دامنه پراکندگی یک میدان راموند-راموند دو میدان پیمانه ای و یک میدان تاکیونی caat بسط سازگاری است که این نکته بیانگر آنست که بسط تاکیونها که بسط انرژی پایین نیست را یافته ایم و این بسط با بسط aatt,ctta,cta,cttt سازگار است با مقایسه با دامنه پراکندگی تعدادی از تصحیحات کنشهای tachyonic dbi, wess-zumino را می یابیم .