Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-07-10
Phys.Rev. D59 (1999) 026004
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 3 epsf figures. Minor changes, references added
Scientific paper
10.1103/PhysRevD.59.026004
Certain classes of chiral four-dimensional gauge theories may be obtained as the worldvolume theories of D5-branes suspended between networks of NS5-branes, the so-called brane box models. In this paper, we derive the stringy consistency conditions placed on these models, and show that they are equivalent to anomaly cancellation of the gauge theories. We derive these conditions in the orbifold theories which are T-dual to the elliptic brane box models. Specifically, we show that the expression for tadpoles for unphysical twisted Ramond-Ramond 4-form fields in the orbifold theory are proportional to the gauge anomalies of the brane box theory. Thus string consistency is equivalent to worldvolume gauge anomaly cancellation. Furthermore, we find additional cylinder amplitudes which give the $\beta$-functions of the gauge theory. We show how these correspond to bending of the NS-branes in the brane box theory.
Leigh Robert G.
Rozali Moshe
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