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Papers by Juan Jose Manjarin

Research paper thumbnail of K theory and eleven dimensional physics

El objetivo de esta tesis se centra en el papel que juega la teoria-K, una cohomologia generaliza... more El objetivo de esta tesis se centra en el papel que juega la teoria-K, una cohomologia generalizada, en la clasificacion de los solitones que aparecen en las Teorias de Cuerdas, asi como extraer informacion acerca de la estructura gauge que subyace a las mismas, El punto de partida es la aparente contradiccion que existe entre la descripcion en terminos de SUGRA y en teoria-K de la D6-brana: mientras en el primer caso se ve como un monopolo abeliano, en el segundo es no-abeliano. Los grados de libertad extra necesarios para hacer una descripcion unificada aparecen de la inclusion de los efectos del campo-B, que pertenece al espectro sin masa del sector cerrado y que se puede ver como generador de la carga electrica. El punto mas importante es que estos grados de libertad electricos se pueden asociar con la existencia de una teoria en 11 dimensiones, la llamada teoria-M. Por otro lado, la descripcion completa de los efectos del campo-B lleva en la ultima parte de la tesis a comprobar que el sector topologico de la teoria tipo IIA se puede asociar con una estructura gauge de tipo heterotico, es decir, con un grupo E(8), mas concretamente con sus grupos de lazos centralmente extendidos, tanto libre como con punto base, donde la extension central se puede ver como la masa de Romans de la SUGRA masiva.

Research paper thumbnail of A note on the dyonic D 6-brane 1

We study the dyon electric charge of D6 branes as eleven dimensional KK monopoles. We observe tha... more We study the dyon electric charge of D6 branes as eleven dimensional KK monopoles. We observe that the dyon charge is intimately related with the existence of gauge connections and antisymmetric fields on the brane world volume. Contribution to the 6th International Workshop on Conformal Field Theory and Integrable Models, Landau Institute Sept. 2002 to honour A. Belavin on the occasion of his 60th birthday. E-mail: cesar.gomez@uam.es E-mail: juanjose.manjarin@uam.es Unidad de Investigación Asociada al Centro de F́ısica Miguel Catalán (C.S.I.C.)

Research paper thumbnail of The Static Gauge Potential with a Cutoff

The static potential, corresponding to the interaction of two heavy sources is computed for N = 4... more The static potential, corresponding to the interaction of two heavy sources is computed for N = 4 Super Yang Mills in the strong 't Hooft coupling regime by using the AdS/CFT conjecture and performing a computation of a rectangular Wilson loop at a finite distance of the boundary.

Research paper thumbnail of Dilatonic Wilson loops

Journal of High Energy Physics, 2001

In this letter we study the dilatonic corrections to the static gauge potential between heavy sou... more In this letter we study the dilatonic corrections to the static gauge potential between heavy sources. These corrections come from the solutions to the the lowest order beta equations. In the energetically favoured branch, the potential obtained is characterised by having a linear confining term, an L independent term and another 1/L piece. This is indicative of a Lüscher-type behaviour in the strong-coupling regime of the dual gauge theory. On the other hand, we also explore the singularity as a point where the theory becomes free.

Research paper thumbnail of Static gauge potential from noncritical strings

Journal of High Energy Physics, 2001

The static gauge potential between heavy sources is computed from a recently introduced non-criti... more The static gauge potential between heavy sources is computed from a recently introduced non-critical bosonic string background. When the sources are located at the infinity of the holographic coordinate, the linear dilaton behavior is recovered, which means that the potential is exactly linear in the separation between the sources. When the sources are moved towards the origin, a competing overconfining cubic branch appears, which is however disfavored energetically.

Research paper thumbnail of Gravitational monopoles, anomalies and ME8bundles

Journal of High Energy Physics, 2004

In this paper we try to clarify the physical meaning of the gauge theory that underlies the K-the... more In this paper we try to clarify the physical meaning of the gauge theory that underlies the K-theoretical classification of RR charges in type IIA. Our main tool are the conditions for the cancellation of the Freed-Witten global anomaly when we take into account the effects of a flat and a general B-field. In each case we will see how K-theory captures some eleven dimensional information. In the first case and studying the electric properties of the D6-brane we see an eleven dimensional U(2) gauge symmetry, while the second can be related to an E 8 theory. Moreover, in the reduction from the general to the flat case, we find that the Romans' mass gives the number of unstable intial D9-branes.

Research paper thumbnail of On noncommutative orbifolds of K3 surfaces

Journal of Mathematical Physics, 2003

Using the algebraic geometry method of Berenstein and Leigh for the construction of the toroidal ... more Using the algebraic geometry method of Berenstein and Leigh for the construction of the toroidal orbifold T 2 ×T 2 ×T 2 Z 2 ×Z 2 with discrete torsion and considering local K3 surfaces, we present non-commutative aspects of the orbifolds of product of K3 surfaces. In this way, the ordinary complex deformation of K3 can be identified with the resolution of stringy singularities by non-commutative algebras using crossed products. We give representations and make some comments regarding the fractionation of branes. Illustrating examples are presented.

Research paper thumbnail of A Note on the Dyonic D6-BRANE

International Journal of Modern Physics A, 2004

We study the dyon electric charge of D6-branes as eleven dimensional KK-monopoles. We observe tha... more We study the dyon electric charge of D6-branes as eleven dimensional KK-monopoles. We observe that the dyon charge is intimately related with the existence of gauge connections and antisymmetric fields on the brane world-volume.

Research paper thumbnail of Topics on D-Brane Charges with B-Fields

International Journal of Geometric Methods in Modern Physics, 2004

In this review we show how K-theory classifies RR-charges in type II string theory and how the in... more In this review we show how K-theory classifies RR-charges in type II string theory and how the inclusion of the B-field modifies the general structure leading to the twisted K-groups. Our main purpose is to give an expository account of the physical relevance of K-theory. To do that, we consider different points of view: processes of tachyon condensation, cancellation of global anomalies and gauge fixings. As a field to test the proposals of K-theory, we concentrate on the study of the D6-brane, now seen as a non-abelian monopole.

Research paper thumbnail of Dyons, K-Theory and M-Theory

Arxiv preprint hep-th/0111169, 2001

César Gómez 1 and Juan José Manjar´ın 2 ... Instituto de Fısica Teórica, C-XVI, Universidad Autón... more César Gómez 1 and Juan José Manjar´ın 2 ... Instituto de Fısica Teórica, C-XVI, Universidad Autónoma de Madrid ... We study the dyonic charge of type IIA D6-branes interpreted as M-theory Kaluza-Klein ... 1E-mail: cesar.gomez@uam.es 2E-mail: juanjose.manjarin@uam.es ...

Research paper thumbnail of K theory and eleven dimensional physics

El objetivo de esta tesis se centra en el papel que juega la teoria-K, una cohomologia generaliza... more El objetivo de esta tesis se centra en el papel que juega la teoria-K, una cohomologia generalizada, en la clasificacion de los solitones que aparecen en las Teorias de Cuerdas, asi como extraer informacion acerca de la estructura gauge que subyace a las mismas, El punto de partida es la aparente contradiccion que existe entre la descripcion en terminos de SUGRA y en teoria-K de la D6-brana: mientras en el primer caso se ve como un monopolo abeliano, en el segundo es no-abeliano. Los grados de libertad extra necesarios para hacer una descripcion unificada aparecen de la inclusion de los efectos del campo-B, que pertenece al espectro sin masa del sector cerrado y que se puede ver como generador de la carga electrica. El punto mas importante es que estos grados de libertad electricos se pueden asociar con la existencia de una teoria en 11 dimensiones, la llamada teoria-M. Por otro lado, la descripcion completa de los efectos del campo-B lleva en la ultima parte de la tesis a comprobar que el sector topologico de la teoria tipo IIA se puede asociar con una estructura gauge de tipo heterotico, es decir, con un grupo E(8), mas concretamente con sus grupos de lazos centralmente extendidos, tanto libre como con punto base, donde la extension central se puede ver como la masa de Romans de la SUGRA masiva.

Research paper thumbnail of A note on the dyonic D 6-brane 1

We study the dyon electric charge of D6 branes as eleven dimensional KK monopoles. We observe tha... more We study the dyon electric charge of D6 branes as eleven dimensional KK monopoles. We observe that the dyon charge is intimately related with the existence of gauge connections and antisymmetric fields on the brane world volume. Contribution to the 6th International Workshop on Conformal Field Theory and Integrable Models, Landau Institute Sept. 2002 to honour A. Belavin on the occasion of his 60th birthday. E-mail: cesar.gomez@uam.es E-mail: juanjose.manjarin@uam.es Unidad de Investigación Asociada al Centro de F́ısica Miguel Catalán (C.S.I.C.)

Research paper thumbnail of The Static Gauge Potential with a Cutoff

The static potential, corresponding to the interaction of two heavy sources is computed for N = 4... more The static potential, corresponding to the interaction of two heavy sources is computed for N = 4 Super Yang Mills in the strong 't Hooft coupling regime by using the AdS/CFT conjecture and performing a computation of a rectangular Wilson loop at a finite distance of the boundary.

Research paper thumbnail of Dilatonic Wilson loops

Journal of High Energy Physics, 2001

In this letter we study the dilatonic corrections to the static gauge potential between heavy sou... more In this letter we study the dilatonic corrections to the static gauge potential between heavy sources. These corrections come from the solutions to the the lowest order beta equations. In the energetically favoured branch, the potential obtained is characterised by having a linear confining term, an L independent term and another 1/L piece. This is indicative of a Lüscher-type behaviour in the strong-coupling regime of the dual gauge theory. On the other hand, we also explore the singularity as a point where the theory becomes free.

Research paper thumbnail of Static gauge potential from noncritical strings

Journal of High Energy Physics, 2001

The static gauge potential between heavy sources is computed from a recently introduced non-criti... more The static gauge potential between heavy sources is computed from a recently introduced non-critical bosonic string background. When the sources are located at the infinity of the holographic coordinate, the linear dilaton behavior is recovered, which means that the potential is exactly linear in the separation between the sources. When the sources are moved towards the origin, a competing overconfining cubic branch appears, which is however disfavored energetically.

Research paper thumbnail of Gravitational monopoles, anomalies and ME8bundles

Journal of High Energy Physics, 2004

In this paper we try to clarify the physical meaning of the gauge theory that underlies the K-the... more In this paper we try to clarify the physical meaning of the gauge theory that underlies the K-theoretical classification of RR charges in type IIA. Our main tool are the conditions for the cancellation of the Freed-Witten global anomaly when we take into account the effects of a flat and a general B-field. In each case we will see how K-theory captures some eleven dimensional information. In the first case and studying the electric properties of the D6-brane we see an eleven dimensional U(2) gauge symmetry, while the second can be related to an E 8 theory. Moreover, in the reduction from the general to the flat case, we find that the Romans' mass gives the number of unstable intial D9-branes.

Research paper thumbnail of On noncommutative orbifolds of K3 surfaces

Journal of Mathematical Physics, 2003

Using the algebraic geometry method of Berenstein and Leigh for the construction of the toroidal ... more Using the algebraic geometry method of Berenstein and Leigh for the construction of the toroidal orbifold T 2 ×T 2 ×T 2 Z 2 ×Z 2 with discrete torsion and considering local K3 surfaces, we present non-commutative aspects of the orbifolds of product of K3 surfaces. In this way, the ordinary complex deformation of K3 can be identified with the resolution of stringy singularities by non-commutative algebras using crossed products. We give representations and make some comments regarding the fractionation of branes. Illustrating examples are presented.

Research paper thumbnail of A Note on the Dyonic D6-BRANE

International Journal of Modern Physics A, 2004

We study the dyon electric charge of D6-branes as eleven dimensional KK-monopoles. We observe tha... more We study the dyon electric charge of D6-branes as eleven dimensional KK-monopoles. We observe that the dyon charge is intimately related with the existence of gauge connections and antisymmetric fields on the brane world-volume.

Research paper thumbnail of Topics on D-Brane Charges with B-Fields

International Journal of Geometric Methods in Modern Physics, 2004

In this review we show how K-theory classifies RR-charges in type II string theory and how the in... more In this review we show how K-theory classifies RR-charges in type II string theory and how the inclusion of the B-field modifies the general structure leading to the twisted K-groups. Our main purpose is to give an expository account of the physical relevance of K-theory. To do that, we consider different points of view: processes of tachyon condensation, cancellation of global anomalies and gauge fixings. As a field to test the proposals of K-theory, we concentrate on the study of the D6-brane, now seen as a non-abelian monopole.

Research paper thumbnail of Dyons, K-Theory and M-Theory

Arxiv preprint hep-th/0111169, 2001

César Gómez 1 and Juan José Manjar´ın 2 ... Instituto de Fısica Teórica, C-XVI, Universidad Autón... more César Gómez 1 and Juan José Manjar´ın 2 ... Instituto de Fısica Teórica, C-XVI, Universidad Autónoma de Madrid ... We study the dyonic charge of type IIA D6-branes interpreted as M-theory Kaluza-Klein ... 1E-mail: cesar.gomez@uam.es 2E-mail: juanjose.manjarin@uam.es ...