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String Theory Demystified

String Theory Demystified

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Summary<br />

204 <strong>String</strong> <strong>Theory</strong> Demystifi ed<br />

THE |NS〉 ⊕ |R〉, |R〉 ⊕ |NS〉 SECTOR<br />

The states in these sectors are superpartners of the dilaton and the graviton. Type II<br />

A and type II B theories have the same states, but the states NS ⊗ R , R ⊗ NS<br />

each have the same chirality in type II B theory and have the opposite chirality in<br />

type II A theory. The states are<br />

• The dilatino, the spin-1/2 superpartner of the dilaton, with 28 states.<br />

• The gravitino, the spin-3/2 fermion which is the superpartner of the<br />

graviton. For type II A theory the 2 gravitinos have opposite chirality.<br />

THE |R〉 ⊕ |R〉 SECTOR<br />

These are boson states formed from the tensor product of two Majorana-Weyl<br />

spinors. In type II A theory the left and right states have opposite chirality,<br />

while in type II B theory they have the same chirality. For type II A theory, there<br />

are two states:<br />

• A vector gauge fi eld<br />

• A “3-form” gauge fi eld (see Relativity Demystifi ed for a description of<br />

forms)<br />

In type II B theory the states are<br />

• A scalar fi eld<br />

• A two-form gauge fi eld<br />

• A four-form gauge fi eld<br />

In this chapter, we have summarized the states of type II A and type II B string<br />

theories, which are based on the R and NS sectors first introduced in Chap. 7.<br />

Type II A theory consists of states that are tensor products of states with<br />

opposite chiralities, while type II B theory consists of states that are tensor<br />

products of states with the same chiralities. This results in different “particle”<br />

states. These theories predict the existence of superpartners that have not yet<br />

been observed in nature.

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