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We consider D-branes wrapped around supersymmetric cycles of Calabi-Yau manifolds from the viewpoint of N = 2 Landau-Ginzburg models with boundary as well as by consideration of boundary states in the corresponding Gepner models. The Landau-Ginzburg approach enables us to provide a target space interpretation for the boundary states. The boundary states are… (More)

We study both A-type and B-type D-branes in the gauged linear sigma model by considering worldsheets with boundary. The boundary conditions on the matter and vector multiplet fields are first considered in the largevolume phase/non-linear sigma model limit of the corresponding CalabiYau manifold, where we also find that we need to add a contact term on the… (More)

- Suresh Govindarajan, Gopala Krishna IMSc, Prasanta Tripathy
- 2009

We show the existence of a family of generalized Kac-Moody(GKM) superalgebras, GN , whose Weyl-Kac-Borcherds denominator formula gives rise to a genus-two modular form at level N , ∆k/2(Z), for (N, k) = (1, 10), (2, 6), (3, 4), (5, 2). The square of the automorphic form is related to the generating function of the degeneracy of CHL dyons in asymmetric ZN… (More)

We construct a linear sigma model for open-strings ending on special Lagrangian cycles of a Calabi-Yau manifold. We illustrate the construction for the cases considered by Aganagic and Vafa(AV). This leads naturally to concrete models for the moduli space of open-string instantons. These instanton moduli spaces can be seen to be intimately related to… (More)

- S. Govindarajan, N. K. Ambujam, K. Karunakaran
- Paddy and Water Environment
- 2008

Water productivity (WP) expresses the value or benefit derived from the use of water. A profound water productivity analysis was carried out at experimental field at Field laboratory, Centre for Water Resources, Anna University, India, for rice crop under different water regimes such as flooded (FL), alternative wet and dry (AWD) and saturated soil culture… (More)

We show that the generating function of electrically charged 1 2 -BPS states in N = 4 supersymmetric CHL ZN orbifolds of the heterotic string on T 6 are given by multiplicative η-products. The η-products are determined by the cycle shape of the corresponding symplectic involution in the dual type II picture. This enables us to complete the construction of… (More)

Recently, certain higher dimensional complex manifolds were obtained in [1] by associating a higher dimensional uniformisation to the generalised Teichmüller spaces of Hitchin. The extra dimensions are provided by the “times” of the generalised KdV hierarchy. In this paper, we complete the proof that these manifolds provide the analog of superspace for… (More)

Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-0849 USA Isaac Newton Institute for Mathematical Sciences, Cambridge, CB3 0EH, U.K. I.H.E.S., Le Bois-Marie, Bures-sur-Yvette, 91440 France Department of Physics, Indian Institute of Technology, Madras, Chennai 600036 India The Institute of Mathematical Sciences, C.I.T. Campus,… (More)

We present a method based on mutations of helices which leads to the construction (in the large volume limit) of exceptional coherent sheaves associated with the ( ∑ a la = 0) orbits in Gepner models. This is explicitly verified for a few examples including some cases where the ambient weighted projective space has singularities not inherited by the… (More)

We construct boundary conditions in the gauged linear sigma model for B-type D-branes on Calabi-Yau manifolds that correspond to coherent sheaves given by the cohomology of a monad. This necessarily involves the introduction of boundary fields, and in particular, boundary fermions. The large-volume monodromy for these D-brane configurations is implemented… (More)