A comment on $p$-branes of ($p+3$)$\mathrm{d}$ string theory

Abstract

We argue that in ($p+3$)d string theory the existence of NS-NS type $p$-brane with negative tension is essential to obtain background geometry $R_2$ or $R_2/Z_n$ on the transverse dimensions, and the usual codimension-2 brane solutions with these background geometries already contain the negative tension NS-brane implicity in their ansatz. Such an argument leads us, in the context of brane world scenarios, to a conjecture that true background $p$-brane immanent in our spacetime may perhaps be NS-NS type brane, rather than D-brane.

16 pages. Version to appear in JHEP

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• Inflation driven by single geometric tachyon with D-brane orbiting around NS5-branes
• D-brane orbiting NS5-branes
• A torsion-free background solution of the string theory