CFT from Topological Recursion

Abstract: Conformal Field Theories, can be "defined" by the bootstrap axioms. The main axioms are that we have a set of functions (amplitudes) that should satisfy OPE (short distance asymptotic behaviour), Ward identities (reflecting conformal invariance) and crossing-symmetry (all possible ways of computing an amplitude should give the same answer). Topological Recursion is a recursive recipe that associates to a spectral curve S (an algebraic plane curve with some additional features), a sequence of n-forms, denoted $\omega_{g,n}(S)$, $g=0,\dots,\infty$, $n=0,\dots,\infty$. These n-forms naturally allow to define amplitudes (as formal series) that do satisfy OPE and Ward Identities axioms. Moreover, there is a way to adapt them to also satisfy crossing symmetry. This last statement is presently a conjecture, not yet proved in all cases, but belived to be true. We shall also discuss the link to integrable systems and algebraic geometry.

HEP - theorymathematical physicsalgebraic geometrycombinatoricsexactly solvable and integrable systems

Audience: researchers in the discipline

IBS-CGP Mathematical Physics Seminar

Series comments: Registration is required at cgp.ibs.re.kr/activities/talkregistration