D-brane superpotentials and RG flows on the quintic

Abstract

The behaviour of D2-branes on the quintic under complex structure deformations is analysed by combining Landau-Ginzburg techniques with methods from conformal field theory. It is shown that the boundary renormalisation group flow induced by the bulk deformations is realised as a gradient flow of the effective space time superpotential which is calculated explicitly to all orders in the boundary coupling constant.

Boundary Weyl anomaly of N $$ \mathcal{N} $$ = (2, 2) superconformal models

“…Chiral deformations are generically obstructed at a B-type boundary, i.e. supersymmetry is completely broken [18,19]. There is no such obstruction for twisted chiral deformations but another, non-generic phenomenon can occur for them: across lines of marginal stability the bulk deformation can induce a boundary renormalization-group flow [20], so that physics at the boundary is discontinuous.…”

Фоновые Конфигурации В Граничной Полевой Теории Струны

“…С точки зрения граничных КТП могут возникать β-функции взаимодействий между открытыми и замкнутыми струнами, а спектр граничных полей может меняться радикальным образом при изменении конфигурации поля замкнутой струны; при этом решения типа D-бран могут оказаться несогласован-ными, или могут возникнуть новые D-браны [14]- [16]. Оказывается, что эта точка зрения не вполне верна по отношению к БРСТ-схеме.…”

Bayesian sample size determination in non‐sequential clinical trials: Statistical aspects and some regulatory considerations

“…However, bulk-induced boundary operators appear frequently [17,23,24,25], and in many cases they are the dominant effect. These flows generally reduce g to the lowest available value.…”

“…If no such family of boundary conditions exists then the deformation will necessarily induce boundary flow. For a more detailed study of exactly marginal operators, see [23,24,25].…”