7 problems

Green–Gutperle–Vanhove conjecture. The $D^4\mathcal R^4$ terms in the type IIB effective action are of the form

Let $\tau=\chi+i e^{-\phi}$ be the axion/dilaton scalar of Type IIB string theory, and let $E_{3/2}(\tau,\bar \tau)$ denote the non-holomorphic Eisenstein series. In the string fra…

Let a background field be more general than the electromagnetic background considered earlier, and let its heat kernel or effective action be treated by heat-kernel methods. Genera…

Let $\phi$ be a massive quantum scalar field coupled to a background vector $N_\mu$ through the operator … and let $K_N(x,x';\tau)$ be the corresponding heat kernel. Write…

Let $F_{bc\nu}$ be the field strength of a background vector field in four spacetime dimensions, and define the invariants … where ${}^*F_{\mu\nu}$ is the Hodge dual of…

Analytic-structure conjecture. Self-consistently derived equations of motion should encode more information about the analytic structure of the underlying theory than generic Borel…

Let $f(X)$ be a single-trace function, expanded around $X=x\mathbb I+\epsilon$ as … with cyclic coefficients satisfying the corresponding consistency constraints. Let $F(X)$ be a n…