<p>In string theory, we can geometrically realize a metastable state by wrapping D5-branes and anti D5-branes to a singular manifold. We consider wrapping D3-branes to the internal space in this setup. These D3-branes dissolve into the domain wall, which interpolates true vacua and false vacua, forming a bound state. The remnant of the D3-branes can be seen as a background magnetic field on the domain wall, which appears to an observer in 4D spacetime as a magnetically charged, spherically symmetric shell. This brane shell has finite radii due to the nonlinearity peculiar to string theory, even at the probe level. We demonstrate a new stabilization mechanism of the brane shell in 4D spacetime. We add a general relativity-inspired gravitational correction to the brane shells and investigate the influence on its potential. As a result, the potential value at the horizon will be relatively larger than the potential minimum in parameter regions where the influence of gravity is large, and even non-perturbative instabilities can be removed. Moreover, we show the existence of over-extremal states such that (<i>gQ</i>)<sup>2</sup> ≥ <i>G</i><sub>4</sub><i>m</i><sup>2</sup> is satisfied in regions where the magnetic field is sufficiently large. At least in our model, this over-extremal shell cannot be completely stabilized by gravitational correction. This paper also addresses the dilemma between stabilizing and achieving an over-extremal state.</p>

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On stabilization of magnetically charged brane shell and over-extremality

  • Sohei Tsukahara

摘要

In string theory, we can geometrically realize a metastable state by wrapping D5-branes and anti D5-branes to a singular manifold. We consider wrapping D3-branes to the internal space in this setup. These D3-branes dissolve into the domain wall, which interpolates true vacua and false vacua, forming a bound state. The remnant of the D3-branes can be seen as a background magnetic field on the domain wall, which appears to an observer in 4D spacetime as a magnetically charged, spherically symmetric shell. This brane shell has finite radii due to the nonlinearity peculiar to string theory, even at the probe level. We demonstrate a new stabilization mechanism of the brane shell in 4D spacetime. We add a general relativity-inspired gravitational correction to the brane shells and investigate the influence on its potential. As a result, the potential value at the horizon will be relatively larger than the potential minimum in parameter regions where the influence of gravity is large, and even non-perturbative instabilities can be removed. Moreover, we show the existence of over-extremal states such that (gQ)2G4m2 is satisfied in regions where the magnetic field is sufficiently large. At least in our model, this over-extremal shell cannot be completely stabilized by gravitational correction. This paper also addresses the dilemma between stabilizing and achieving an over-extremal state.