Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-08-14
Adv.Theor.Math.Phys. 6 (2003) 979-1030
Physics
High Energy Physics
High Energy Physics - Theory
48 pages, 1 figure, LaTeX; v2: material on Freed-Witten added; v3: ATMP submission, obsoleted by v2; v4 = v2
Scientific paper
In this paper we explicitly work out the precise relationship between Ext groups and massless modes of D-branes wrapped on complex submanifolds of Calabi-Yau manifolds. Specifically, we explicitly compute the boundary vertex operators for massless Ramond sector states, in open string B models describing Calabi-Yau manifolds at large radius, directly in BCFT using standard methods. Naively these vertex operators are in one-to-one correspondence with certain sheaf cohomology groups (as is typical for such vertex operator calculations), which are related to the desired Ext groups via spectral sequences. However, a subtlety in the physics of the open string B model has the effect of physically realizing those spectral sequences in BRST cohomology, so that the vertex operators are actually in one-to-one correspondence with Ext group elements. This gives an extremely concrete physical test of recent proposals regarding the relationship between derived categories and D-branes. We check these results extensively in numerous examples, and comment on several related issues.
Katz Sheldon
Sharpe Eric
No associations
LandOfFree
D-branes, open string vertex operators, and Ext groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with D-branes, open string vertex operators, and Ext groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and D-branes, open string vertex operators, and Ext groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-291225