Semi-doubled gauged linear sigma model for five-branes of codimension two

Abstract

We establish a double dualization in two-dimensional supersymmetric gauge theory. We construct a gauged linear sigma model (GLSM) which contains a complex twisted linear superfield coupled to two sets of Abelian vector superfields. In the IR regime, the GLSM provides a string sigma model whose target spaces are a defect NS5-brane, a Kaluza-Klein vortex and an exotic 5 2 2brane. All of them are five-branes of codimension two and are related by T-duality. This model is a natural extension of the GLSM proposed by Tong which gives a sigma model for an H-monopole, i.e., a smeared NS5-brane of codimension three. This is also regarded as an alternative system of the GLSM for exotic five-branes proposed by the present authors. In this analysis, we confirm that the T-duality transformation procedure in terms of the complex twisted linear superfield is applicable to dualize both the real and imaginary parts of the twisted chiral superfield even at the UV level, beyond the IR limit. This indicates that the T-duality transformations at finite gauge couplings can be performed in terms of reducible superfields in the same way as irreducible (twisted) chiral superfields. Furthermore, we study quantum vortex corrections to the GLSM at the UV level. In the IR limit, these corrections are mapped to string worldsheet instanton corrections to the five-branes of codimension two. The result completely agrees with those in double field theory analysis.

World-volume effective theories of locally non-geometric branes

“…The modified geometry is known as the localized KK-monopole [21]. The same is true even for the globally non-geometric 5 2 2 -brane [30][31][32]. The geometry is modified and characterized by the winding coordinate.…”

Five-brane current algebras in type II string theories

“…It is known that the locally non-geometric nature appear in various context of string theory [49,[52][53][54][55][56][57]. It would be interesting to study the current algebras of these branes.…”

A Kaluza–Klein Approach to Double and Exceptional Field Theory

“…Such corrections were first predicted back in 1998 by Gregory, Harvey and Moore [30] and then realised in DFT in a series of works. [29,[31][32][33][34] This is one of the applications of DFT, one simply allows the delta function source of the harmonic function to be localised in winding space and one recovers a harmonic function that was winding mode dependencies. Those are the string theory world-sheet instanton corrections.…”

“…One is where we remove the dependence on the novel coordinates leaving us with the original x μ . The other is where we keep dependence on y 14 , y 24 , y 34 . These choices are related to eleven-dimensional supergravity and IIB supergravity respectively.…”