# Dynamics of Supersymmetric SU(n_c) and USp(2n_c) Gauge Theories

PDF Version Also Available for Download.

### Description

We study dynamical flavor symmetry breaking in the context of a class of N=1 supersymmetric SU(n_c) and USp(2 n_c) gauge theories, constructed from the exactly solvable N=2 theories by perturbing them with small adjoint and generic bare hypermultiplet (quark) masses. We find that the flavor U(n_f) symmetry in SU(n_c) theories is dynamically broken to $U(r)\times U(n_f-r)$ groups for $n_f \leq n_c$. In the r=1 case the dynamical symmetry breaking is caused by the condensation of monopoles in the $\underlinen_f$ representation. For general r, however, the monopoles in the $\underline_n_fC_r$ representation, whose condensation could explain the flavor symmetry breaking but would ... continued below

### Creation Information

Carlino, Giuseppe; Konishi, Kenichi & Murayama, Hitoshi January 7, 2000.

### Context

This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 20 times . More information about this article can be viewed below.

## Who

People and organizations associated with either the creation of this article or its content.

### Provided By

#### UNT Libraries Government Documents Department

Serving as both a federal and a state depository library, the UNT Libraries Government Documents Department maintains millions of items in a variety of formats. The department is a member of the FDLP Content Partnerships Program and an Affiliated Archive of the National Archives.

## What

Descriptive information to help identify this article. Follow the links below to find similar items on the Digital Library.

### Description

We study dynamical flavor symmetry breaking in the context of a class of N=1 supersymmetric SU(n_c) and USp(2 n_c) gauge theories, constructed from the exactly solvable N=2 theories by perturbing them with small adjoint and generic bare hypermultiplet (quark) masses. We find that the flavor U(n_f) symmetry in SU(n_c) theories is dynamically broken to $U(r)\times U(n_f-r)$ groups for $n_f \leq n_c$. In the r=1 case the dynamical symmetry breaking is caused by the condensation of monopoles in the $\underlinen_f$ representation. For general r, however, the monopoles in the $\underline_n_fC_r$ representation, whose condensation could explain the flavor symmetry breaking but would produce too-many Nambu--Goldstone multiplets, actually&quot;break up'' into&quot;magnetic quarks'' which condense and induce confinement and the symmetry breaking. In USp(2n_c) theories with $n_f\leq n_c + 1$, the flavor SO(2n_f) symmetry is dynamically broken to U(n_f), but with no description in terms of a weakly coupled local field theory. In both SU(n_c) and USp(2 n_c) theories, with larger numbers of quark flavors, besides the vacua with these properties, there exist also vacua with no flavor symmetry breaking.

### Source

• Journal Name: Journal of High Energy Physics; Related Information: Journal Publication Date: 4 March 2000

### Identifier

Unique identifying numbers for this article in the Digital Library or other systems.

• Report No.: LBNL-44172
• Grant Number: DE-AC02-05CH11231
• DOI: 10.1088/1126-6708/2000/02/004 | External Link
• Office of Scientific & Technical Information Report Number: 965513
• Archival Resource Key: ark:/67531/metadc930783

### Collections

This article is part of the following collection of related materials.

#### Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

What responsibilities do I have when using this article?

## When

Dates and time periods associated with this article.

### Creation Date

• January 7, 2000

### Added to The UNT Digital Library

• Nov. 13, 2016, 7:26 p.m.

### Description Last Updated

• March 19, 2019, 6:37 p.m.

### Usage Statistics

When was this article last used?

Yesterday: 0
Past 30 days: 1
Total Uses: 20

## Interact With This Article

Here are some suggestions for what to do next.

### Start Reading

PDF Version Also Available for Download.

### International Image Interoperability Framework

We support the IIIF Presentation API

Carlino, Giuseppe; Konishi, Kenichi & Murayama, Hitoshi. Dynamics of Supersymmetric SU(n_c) and USp(2n_c) Gauge Theories, article, January 7, 2000; Berkeley, California. (https://digital.library.unt.edu/ark:/67531/metadc930783/: accessed March 25, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.