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This is part 1 of 3 from the master's thesis: Modeling Compact Objects with Effective Field Theory, supervised by Amanda Weltman. Using the Effective Field Theory framework for extended objects and the coset construction, we build the…

High Energy Physics - Theory · Physics 2023-01-26 Irvin Martinez

A supersymmetric gauge invariant action is constructed over any 4-dimensional Riemannian manifold describing Witten's theory of 4-monopoles. The topological supersymmetric algebra closes off-shell. The multiplets include the auxiliary…

High Energy Physics - Theory · Physics 2009-10-30 R. Gianvittorio , I. Martin , A. Restuccia

It has been speculated in the literature that the effective actions of string theories at any order of $\alpha'$ should be invariant under the Buscher rules plus their higher covariant derivative corrections. This may be used as a…

High Energy Physics - Theory · Physics 2018-05-23 Hamid Razaghian , Mohammad R. Garousi

Using the manifestly spacetime-supersymmetric version of open superstring field theory, we construct the free action for the first massive states of the open superstring compactified to four dimensions. This action is in N=1 D=4 superspace…

High Energy Physics - Theory · Physics 2009-10-31 N. Berkovits , M. M. Leite

We derive the ten-dimensional effective action of the strongly coupled heterotic string as the low energy limit of M-theory on S^1/Z_2. In contrast to a conventional dimensional reduction, it is necessary to integrate out nontrivial heavy…

High Energy Physics - Theory · Physics 2009-10-31 Andre Lukas , Burt Ovrut , Daniel Waldram

We show that the four derivative terms in the effective action of three-dimensional N=8 Yang-Mills theory are determined by supersymmetry. These terms receive both perturbative and non-perturbative corrections. Using our technique for…

High Energy Physics - Theory · Physics 2007-05-23 Sonia Paban , Savdeep Sethi , Mark Stern

We develop computational tools for calculating supersymmetric higher-order derivative corrections to eleven-dimensional supergravity using the action principle approach. We show that, provided the superspace Bianchi identities admit a…

High Energy Physics - Theory · Physics 2017-02-01 Bertrand Souères , Dimitrios Tsimpis

We reduce the dual version of $D=10$, $N=1$ supergravity coupled to $n$ vector fields to four dimensions, and derive the $SL(2,R)\times O(6,6+n)$ transformations which leave the equations of motion invariant. For $n=0$ $SL(2,R)$ is also a…

High Energy Physics - Theory · Physics 2016-09-06 H. J. Boonstra , M. de Roo

We prove that the set of quadratic growths achievable by integer superharmonic functions on the $F$-lattice, a periodic subgraph of the square lattice with oriented edges, has the structure of an overlapping circle packing. The proof…

Analysis of PDEs · Mathematics 2023-11-07 Ahmed Bou-Rabee

Proceeding from nonlinear realizations of the most general N=4, d=1 superconformal symmetry associated with the supergroup D(2,1;\alpha), we construct all known and two new off-shell N=4, d=1 supermultiplets as properly constrained N=4…

High Energy Physics - Theory · Physics 2009-11-10 Evgeny Ivanov , Sergey Krivonos , Olaf Lechtenfeld

In this note we derive an upper bound on the number of 2-spheres in the fixed point set of a smooth and homologically trivial cyclic group action of prime order on a simply-connected 4-manifold. This improves the a priori bound which is…

Geometric Topology · Mathematics 2019-03-05 M. J. D. Hamilton

It is shown how to solve the Euclidean equations of motion of a point particle in a general potential and in the presence of a four-Fermi term. The classical action in this theory depends explicitly on a set of four fermionic collective…

High Energy Physics - Theory · Physics 2008-11-26 Agapitos Hatzinikitas , Ioannis Smyrnakis

Higher-derivative interactions and transformation rules of the fields in the effective field theories of the massless string states are strongly constrained by space-time symmetries and dualities. Here we use an exact formulation of ten…

High Energy Physics - Theory · Physics 2021-07-28 Eric Lescano , Carmen A. Núñez , Jesús A. Rodríguez

Using the harmonic superspace approach we study the problem of low-energy effective action in N=3 SYM theory. The candidate effective action is a scale and \gamma_5-invariant functional in full N=3 superspace built out of N=3 off-shell…

High Energy Physics - Theory · Physics 2009-11-10 I. L. Buchbinder , E. A. Ivanov , I. B. Samsonov , B. M. Zupnik

We consider Chern-Simons actions of Abelian tensor hierarchy of $p$-form gauge fields in four-dimensional ${\cal N}=1$ supergravity. Using conformal superspace formalism, we solve the constraints on the field strengths of the $p$-form gauge…

High Energy Physics - Theory · Physics 2017-02-01 Ryo Yokokura

In the presence of a confining flux tube between a pair of sources the vacuum is no longer Poincare' invariant. This symmetry is nonlinearly realized in the effective string action. A general method for finding a large class of Lorentz…

High Energy Physics - Theory · Physics 2013-03-01 Marco Meineri

The non-perturbative (D-instanton corrected) low-energy effective action of the universal hypermultiplet in the type-IIA string theory compactified on a Calabi-Yau threefold is calculated in 4d, N=2 supergravity. The action is given by the…

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Ketov

I discuss the symmetry structure of the N=2 supersymmetric extension of the Born-Infeld action in four dimensions, and confirm its interpretation as the Goldstone-Maxwell action associated with partial breaking of N=4 extended supersymmetry…

High Energy Physics - Theory · Physics 2010-04-06 Sergei V. Ketov

All four point functions of brane anti brane system including their correct all order $\alpha'$ corrections have been addressed. All five point functions of one closed string Ramond-Ramond (RR), two real tachyons and either one gauge field…

High Energy Physics - Theory · Physics 2016-04-28 Ehsan Hatefi

The Clifford algebra of the endomorphisms of the exterior algebra of a countably dimensional vector space induces natural bosonic shadows, i.e. families of linear maps between the cohomologies of complex grassmannians. The main result of…

Representation Theory · Mathematics 2024-10-22 Letterio Gatto , Malihe Yousofzadeh