Effective Lagrangian of Domain Wall Networks.pdf

Effective Lagrangian of Domain Wall Networks 1a 1b 1 1 2 Norisuke Sakai , Minoru Eto , Toshiaki Fujimori , Takayuki Nagashima , Muneto Nitta , and Keisuke Ohashi1c 7 1 Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan 0 2 0 Department of Physics, Keio University, Hiyoshi, Yokohama, Kanagawa 223-8521, Japan 2 t c Abstract. Domain wall networks are studied in N = 2 supersymmetric U (NC) gauge theory with O NF ( NC) flavors. We find a systematic method to construct domain wall networks in terms of moduli matrices. Normalizable moduli parameters of the network are found to be sizes and phases of 2 the loop. We obtain moduli space metric which specifies the effective Lagrangian on the domain wall ] networks. It is used to study dynamics of domain wall networks with the moduli approximation. h t- PACS. 11.27.+d – 11.25.-w – 11.30.Pb – 12.10.-g p e h 1 Introduction More detailed analysis of some topics on domain [ wall networks may be found in our recent papers [4], 1 and a general survey of the moduli matrix approach is v D-branes play an essential role in understanding non- given in our review [5]. As a review for other solitons 3 perturbative dynamics in string theories. As an ex- in the same model, see [6]. 2 tended object preserving half of the supersymmetry 4 (SUSY), they have many similarities with domain walls 0 in field