No-Ghost Theorem for Neveu-Schwarz String in 0-Picture

The no-ghost theorem for Neveu-Schwarz string is directly proved in 0-picture. The one-to-one correspondence between physical states in 0-picture and those in the conventional (-1)-picture are confirmed. It is shown that a non-trivial metric consistent with the BRST cohomology is needed to define a positive semi-definite norm in the physical Hilbert space. As a by-product, we find a new inverse picture changing operator, which is non-covariant but has non-singular operator product with itself. A possibility to construct a new gauge invariant superstring field theory is discussed.Comment: 18 pages, v2:typos corrected, v3:published version, v4:typos correcte

Modified Cubic型の開いた超弦の場の理論におけるゲージ固定

京都大学0048新制・課程博士博士(理学)甲第16610号理博第3722号新制||理||1539(附属図書館)29285京都大学大学院理学研究科物理学・宇宙物理学専攻(主査)准教授 國友 浩, 教授 九後 太一, 教授 青山 秀明学位規則第4条第1項該当Doctor of ScienceKyoto UniversityDA

Gauge Fixing of Modified Cubic Open Superstring Field Theory

The gauge-fixing problem in the modified cubic open superstring field theory is discussed in detail for both the Ramond and Neveu-Schwarz (NS) sectors in the Batalin-Vilkovisky (BV) framework. We prove for the first time that the same form of action as the classical gauge-invariant one with the ghost-number constraint on the string field relaxed, gives the master action satisfying the BV master equation. This is achieved by identifying independent component fields by analyzing the kernel structure of the inverse picture-changing operator. The explicit gauge-fixing conditions for the component fields are discussed. In a kind of b[0] = 0 gauge, we explicitly obtain an NS propagator that has poles at zeros of the Virasoro operator L[0]