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The real world as we know it described by the standard model of particle physics contains two general classes of particles. These are de ned in terms of their spin angular momentum as follows. Those particles with whole integer spin are called bosons, while those with half-integer spin are called fermions. At the level of fundamental particles electrons, neutrinos, quarks, photons, gauge bosons, and gluons matter particles are fermions while force-mediating particles are bosons. A symmetry which relates fermions and bosons is called a supersymmetry. The string theory we have described so far in the book consists only of bosons. Obviously, this cannot be a realistic theory that describes our universe since we see fermions in the everyday world. This tells us that the theory we have developed so far, starting with the Polyakov action, is not the whole story. The theory must be extended to include fermions. In addition, recall that when we quantized the theory, the ground state was a tachyon a particle that travels faster than the speed of light. These states with negative mass squared are physically unrealistic. More importantly, a quantum theory with a tachyon has an unstable vacuum. The remedy to this situation is to introduce supersymmetry into the theory. This will allow us to develop string theory so that fermions are included in our description of nature. We will also see that the unwanted tachyon state goes away. An interesting

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side effect of this effort will be that the critical dimension drops from 26 to 10. If you aren t familiar with the description of fermionic elds (and supersymmetry) in quantum theory, try reviewing your favorite quantum eld theory book before tackling this chapter (Quantum Field Theory Demysti ed provides a relatively painless introduction).

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3 1 B is correct RMI would be appropriate for communication between Java objects because it is built into the core Java environment It is a built-in facility for Java, which allows you to interact with objects that are actually running on JVMs on remote machines on the network A, C, and D are incorrect CORBA is more extensive than RMI Unlike RMI, objects that are exported using CORBA can be accessed by clients implemented in any language with an IDL binding RMI is much more simple and straightforward than CORBA because it supports only Java objects So where the facilities of CORBA are not required, it is preferable to go for RMI JNDI and JavaBeans are not distributed object technologies 3 2 A and C are correct Interfaces between CORBA objects can be specified using IDL, but it is a language that can be used only for interface definitions.

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We can proceed with a straightforward modi cation of the theory to include fermions using an approach called the Ramond-Neveu-Schwarz (RNS) formalism. This approach is supersymmetric on the worldsheet. Later we consider the GreenSchwarz formalism, which is supersymmetric in space-time. When the number of space-time dimensions is 10, these two approaches are equivalent. The program we will follow can be done using basically the same which was applied in the bosonic case: introduce an action, nd the equations of motion, and quantize the theory. However, this time we are going to include fermionic elds on the worldsheet. We start with the Polyakov action, rst described in Eq. (2.27) and reproduced here in the conformal gauge: S= T 2 d X X 2 (7.1)

It cannot be used to implement applications B and D are incorrect We use other languages to implement the interfaces written in IDL Interfaces written in IDL can be mapped to any programming language CORBA applications and components are thus independent of the language used to implement them Stubs and skeletons are not written; they are generated by the IDL compiler Stubs and skeletons would be in the same language as the corresponding client or server 3 3 B is correct When you declare that an object implements the javarmiRemote interface, RMI will prevent it from being serialized and sent between JVMs as a parameter Instead of sending the implementation class for a javarmiRemote interface, RMI substitutes the stub class Because this substitution occurs in the RMI internal code, one cannot intercept this operation A and C are incorrect.

If the object had not implemented Remote, it would have been serialized and sent over the network 3 4 B is correct The RMI compiler, rmic, can be used to generate the stub and skeleton files The compiler runs on the remote service implementation class file A, C, and D are incorrect 3 5 B is correct CORBA is the most appropriate object technology for systems that use objects written in different languages, and it supports a variety of operating system platforms A, C, and D; each works with specific platforms..

To include free fermions in the theory using the RNS formalism, we add a kinetic energy term for a Dirac eld to the lagrangian. That is, we include D free fermionic elds to the action, so that it assumes the form S= T 2 d X X i 2

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