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Strings, Higher Curvature Corrections, and Black Holes
We review old and recent results on subleading contributions to black hole entropy in string theory.
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Khovanov-Rozansky Homology and Topological Strings
We conjecture a relation between the sl ( N ) knot homology, recently introduced by Khovanov and Rozansky, and the spectrum of BPS states captured by...
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The Character of Pure Spinors
The character of holomorphic functions on the space of pure spinors in 10, 11 and 12 dimensions is calculated. From this character formula, we derive...
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The Hitchin Functionals and the Topological B-Model at One Loop
The quantization in quadratic order of the Hitchin functional, which defines by critical points a Calabi–Yau structure on a six-dimensional manifold,...
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Poisson Reduction and Branes in Poisson–Sigma Models
We analyse the problem of boundary conditions for the Poisson–Sigma model and extend previous results showing that non-coisotropic branes are...
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A Comment on the Dual Field in the AdS–CFT Correspondence
In the perturbative AdS–CFT correspondence, the dual field whose source are the prescribed boundary values of a bulk field in the functional...
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Relativistic Chaplygin Gas with Field-Dependent Poincaré Symmetry
The relativistic generalization of the Chaplygin gas, put forward by Jackiw and Polychronakos, is derived in Duval's Kaluza–Klein framework, using a...
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Two-Dimensional Conformal Field Theory and Beyond. Lessons from a Continuing Fashion
Two-dimensional conformal field theory (CFT) has several sources: the search for simple examples of quantum field theory, the description of surface...
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Induced Rigid String Action from Fermions
By adding the Dirac action on the world sheet, an effective action is obtained by integrating over the four-dimensional fermion fields pulled back to...
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General Relativity, Strings, and Mathematical Physics
We give a historical review of some aspects of string theory relevant to our present understanding of General Relativity, and connected with...
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N=6 Supergravity on Ad S5 and the SU(2,2/3) Superconformal Correspondence
It is argued that N=6 supergravity on Ad S5, with the gauge group SU(3)× U(1) corresponds, at the classical level, to a subsector of the ‘chiral’...
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Additional Symmetries of the Zakharov—Shabat Hierarchy, String Equaion and Isomonodromy
Isomonodromic deformations are nothing but symmetries of the Zakharov–Shabat (isospectral) hierarchy, both the basic ones (belonging to the...
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BRST Cohomology of the Chapline–Manton Model
We completely compute the local BRST cohomology H(s|d) of the combined Yang–Mills 2-form system coupled through the Yang–Mills Chern–Simons term...
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Action functionals for strings in four dimensions
All possible action functionals on the space of surfaces in ℝ 4 that depend only on first and second derivatives of the functions, entering the...
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Adèlic formulas for string amplitudes in fields of algebraic numbers
On the basis of the analysis on adèle groups (Tate's formula) for any field of algebraic numbers, a regularization of infinite adèlic products of...
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Algebraic-geometrical formulation of two-dimensional quantum gravity
We find a volume form on moduli space of double-punctured Riemann surfaces whose integral satisfies the Painlevé I recursion relations of the genus...
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Grading of spinor bundles and gravitating matter in noncommutative geometry
The gravitating matter is studied within the framework of noncommutative geometry. The noncommutative Einstein-Hilbert action on the product of a...
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On the holomorphic factorization for superconformal fields
For a generic value of the central charge, we prove the holomorphic factorization of partition functions for free superconformal fields which are...