Exactly solvable p-brane model with extra supersymmetry (original) (raw)
Properties of D-branes in matrix model of IIB superstring
Physics Letters B, 1997
We discuss properties of D-brane configurations in the matrix model of type IIB superstring recently proposed by Ishibashi, Kawai, Kitazawa and Tsuchiya. We calculate central charges in supersymmetry algebra at infinite N and associate them with one-and five-branes present in IIB superstring theory. We consider classical solutions associated with static three-and five-branes and calculate their interactions at one loop in the matrix model. We discuss some aspects of the matrix-model formulation of IIB superstring.
QUANTUM TWISTOR-LIKE p-BRANES WITH 3/4 OF D = 4, N = 1 SUPERSYMMETRY
Modern Physics Letters A, 2005
Algebra of the constraints of twistor-like p-branes restoring 3 4 fraction of the spontaneously broken D = 4 N = 1 supersymmetry is studied using the conversion method. Classical and quantum realizations of the BRST charge, unified superalgebra of the global generalized superconformal OSp(1|8) and Virasoro and Weyl symmetries are constructed. It is shown that the quantum Hermitian BRST charge is nilpotent and the quantized OSp(1|8) superalgebra is closed.
p-brane solutions in diverse dimensions
Physical Review D, 1997
A generic Lagrangian, in arbitrary spacetime dimension, describing the interaction of a graviton, a dilaton and two antisymmetric tensors is considered. An isotropic p-brane solution consisting of three blocks and depending on four parameters in the Lagrangian and two arbitrary harmonic functions is obtained. For specific values of parameters in the Lagrangian the solution may be identified with previously known superstring solutions.
On supergravity solutions of space-like D p -branes
Journal of High Energy Physics, 2002
Recently the time dependent solutions of type II supergravities in d = 10, with the metric having the symmetry ISO(p + 1) × SO(8 − p, 1) have been given by two groups (Chen-Gal'tsov-Gutperle (CGG), [hep-th/0204071] and Kruczenski-Myers-Peet (KMP), [hep-th/0204144]). The supergravity solutions correspond to space-like Dp-branes in type II string theory. While the CGG solution is a four parameter solution, the KMP solution is a three parameter solution and so in general they are different. This difference can be attributed to the fact that unlike the CGG solution, KMP uses a specific boundary condition for the metric and the dilaton field. It is shown that when we impose the boundary conditions used in the KMP solution to the CGG solution then both become three parameter solutions and they map to each other under a coordinate transformation along with a Hodge duality of the field strength. We also give the relations between the parameters characterizing the two solutions.
Lectures on Supergravity p-Branes
1997
We review the properties of classical p-brane solutions to supergravity theories, i.e. solutions that may be interpreted as Poincare-invariant hyperplanes in spacetime. Topics covered include the distinction between elementary/electric and solitonic/magnetic solutions, examples of singularity and global structure, relations between mass densities, charge densities and the preservation of unbroken supersymmetry, diagonal and vertical Kaluza-Klein reduction families, Scherk-Schwarz reduction and domain walls, and the classification of multiplicities using duality symmetries.
Static, non-SUSY p -branes in diverse dimensions
Journal of High Energy Physics, 2005
We give explicit constructions of static, non-supersymmetric p-brane (for p ≤ d − 4, where d is the space-time dimensionality and including p = −1 or D-instanton) solutions of type II supergravities in diverse dimensions. A subclass of these are the static counterpart of the time dependent solutions obtained in [hep-th/0309202]. Depending on the forms of the nonextremality function G(r) defined in the text, we discuss various possible solutions and their region of validity. We show how one class of these solutions interpolate between the p-brane-anti p-brane solutions and the usual BPS p-brane solutions in d = 10, while the other class, although have BPS limits, do not have such an interpretation. We point out how the time dependent solutions mentioned above can be obtained by a Wick rotation of one class of these static solutions. We also discuss another type of solutions which might seem non-supersymmetric, but we show by a coordinate transformation that they are nothing but the near horizon limits of the various BPS p-branes already known.
Superstrings and supermembranes in the doubly supersymmetric geometrical approach
Nuclear Physics B, 1995
We perform a generalization of the geometrical approach to describing extended objects for studying the doubly supersymmetric twistor-like formulation of super-p-branes. Some basic features of embedding world supersurface into target superspace specified by a geometrodynamical condition are considered. It is shown that the main attributes of the geometrical approach, such as the second fundamental form and extrinsic torsion of the embedded surface, and the Codazzi, Gauss and Ricci equations, have their doubly supersymmetric counterparts. At the same time the embedding of supersurface into target superspace has its particular features. For instance, the embedding may cause more rigid restrictions on the geometrical properties of the supersurface. This is demonstrated with the examples of an N=1 twistor-like supermembrane in D=11 and type II superstrings in D=10, where the geometrodynamical condition causes the embedded supersurface to be minimal and puts the theories on the mass shell.
Journal of High Energy Physics, 2020
We discuss how to incorporate non-supersymmetric branes in compactifications of type II string theories. We particularly focus on flux compactifications on SU(3) × SU(3) structure manifolds to four dimensions, so that a linear mathcalN\mathcal{N}mathcalN N = 1 supersymmetry is spontaneously broken by spacetime filling Dp-branes. Anti-Dp-branes are a very special subset of such branes but our analysis is generic. We show that the backreaction of non-supersymmetric branes can be incorporated into the standard 4d mathcalN\mathcal{N}mathcalN N = 1 supergravity by including a nilpotent chiral multiplet. Supersymmetry in such setups is always spontaneously broken and non-linearly realized. In particular this means that, contrary to what was previously thought, brane supersymmetry breaking cannot be simply described by a D-term in 4d mathcalN\mathcal{N}mathcalN N = 1 supergravity theories.
Supergravity theories in D ⩾ 12 coupled to super p-branes
Nuclear Physics B, 1999
We construct supergravity theories in twelve and thirteen dimensions with the respective signatures (10, 2) and (11, 2) with some technical details. Starting with N = 1 supergravity in 10+2 dimensions coupled to Green-Schwarz superstring, we give N = 2 chiral supergravity in 10+2 dimensions with its couplings to super (2 + 2)-brane. We also build an N = 1 supergravity in 11+2 dimensions, coupled to supermembrane. All of these formulations utilize scalar (super)fields intact under supersymmetry, replacing the null-vectors introduced in their original formulations. This method makes all the equations SO(10, 2) or SO(11, 2) Lorentz covariant, up to modified Lorentz generators. We inspect the internal consistency of these formulations, in particular with the usage of the modified Lorentz generators for the extra coordinates.
Supergravity p -branes with scalar charge
Physical Review D
Standard dilatonic supergravity p-branes have scalar charges that are not independent parameters, but are determined by the brane tension and Page charges. This feature can be traced to the no-hair theorem in the four-dimensional Einstein-scalar gravity, implying that more general solutions with independent scalar charges can have naked singularities. Since singular branes are also of interest as tentative classical counterparts of unstable tachyonic branes and/or brane-antibrane systems, it is worth investigating branes with independent scalar charges in more detail. Here we study singular branes associated with the Fisher-Janis-Newman-Winicour solution of four-dimensional gravity. In the case of codimension three, we also construct singular branes endowed with a Zipoy-Voorhees-type oblateness parameter. It is expected that such branes will not be supersymmetric in the string theory. We demonstrate this in the special case of NS5-branes of type II theory. We analyze geodesics and test scalar perturbations of new solutions focusing on possible quantum healing of classical singularities.