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

We evaluate mass differences between a neutron and a proton, and between a charged and a neutral meson by using a gauged linear sigma model retaining the chiral SU (2) L × SU (2) R × U (1)V symmetry. Masses of nucleons and relevant mesons are generated through the spontaneous and the explicit chiral symmetry breaking. Since our Lagrangian includes explicitly SU(2) isospin symmetry breaking term, it enables us to simultaneously consider the mass differences of a neutron and a proton, and a charged meson and a neutral one. Their reciprocal relations of the mass differences are also derived, where radiative corrections due to electromagnetic interactions are deliberately taken into account to exactly obtain the isospin symmetry breaking effect in the particle mass differences.

Download Full-text

T-duality transformation of gauged linear sigma model with F-term

Nuclear Physics B ◽

10.1016/j.nuclphysb.2014.08.004 ◽

2014 ◽

Vol 887 ◽

pp. 136-167 ◽

Cited By ~ 7

Author(s):

Tetsuji Kimura ◽

Masaya Yata

Keyword(s):

Sigma Model ◽

Linear Sigma Model ◽

Duality Transformation ◽

Gauged Linear Sigma Model

Download Full-text

Gauged Linear Sigma Model for Disc Invariants

Letters in Mathematical Physics ◽

10.1007/s11005-014-0730-1 ◽

2014 ◽

Vol 105 (1) ◽

pp. 63-88

Author(s):

Hua-Zhong Ke ◽

Jian Zhou

Keyword(s):

Sigma Model ◽

Linear Sigma Model ◽

Gauged Linear Sigma Model

Download Full-text

Localization of the gauged linear sigma model for KK5-branes

Progress of Theoretical and Experimental Physics ◽

10.1093/ptep/ptab031 ◽

2021 ◽

Vol 2021 (3) ◽

Author(s):

Yuki Hiraga ◽

Yuki Sato

Keyword(s):

Partition Function ◽

Sigma Model ◽

Low Energy ◽

Target Space ◽

Linear Sigma Model ◽

Effective Theory ◽

Coulomb Branch ◽

World Sheet ◽

The World ◽

Gauged Linear Sigma Model

Abstract We study quantum aspects of the target space of the non-linear sigma model, which is a low-energy effective theory of the gauged linear sigma model (GLSM). As such, we especially compute the exact sphere partition function of the GLSM for KK$5$-branes whose background geometry is a Taub–NUT space, using the supersymmetric localization technique on the Coulomb branch. From the sphere partition function, we distill the world-sheet instanton effects. In particular, we show that, concerning the single-centered Taub–NUT space, instanton contributions exist only if the asymptotic radius of the $S^1$ fiber in the Taub–NUT space is zero.

Download Full-text