Second Variations of String Actions

TL;DR

This paper derives the string deviation equation, providing a mathematical framework for understanding how string actions vary under second-order variations, which is fundamental for string theory analysis.

Contribution

It introduces the derivation of the string deviation equation, a novel mathematical expression for analyzing second variations of string actions.

Findings

Derived the string deviation equation mathematically

Provides a new tool for string theory analysis

Enhances understanding of string action variations

Abstract

A short article describing the derivation of the string deviation equation: $\dot{\Pi}^\nu_\tau+\Pi'^\mu_\sigma=R^\nu_{.\alpha\beta\gamma}r^\gamma (P^\beta_\tau\dot{x}^\alpha+P^\beta_\sigma x'^\alpha)$.