How to add category selector on admin product form in magento 2

I added a select category in product form but it doesn’t work.After selecting categories and saving the selections are not stored. Please help me with this problem. Maybe i’m missing something someone please give me a more complete description .Thank .

file product_form.xml

.............................
<?xml version="1.0" encoding="UTF-8"?>
<form xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"  xsi:noNamespaceSchemaLocation="urn:magento:module:Magento_Ui:etc/ui_configuration.xsd">
  
    <fieldset name="product-details">
        <field name="main_categories">
            <argument name="data" xsi:type="array">
                <item name="options" xsi:type="object">MagentoCatalogUiComponentProductFormCategoriesOptions</item>
                <item name="config" xsi:type="array">
                    <item name="label" xsi:type="string" translate="true">Main Category</item>
                    <item name="componentType" xsi:type="string">field</item>
                    <item name="formElement" xsi:type="string">select</item>
                    <item name="component" xsi:type="string">Magento_Catalog/js/components/new-category</item>
                    <item name="elementTmpl" xsi:type="string">ui/grid/filters/elements/ui-select</item>
                    <item name="dataScope" xsi:type="string">data.main_categories</item>
                    <item name="filterOptions" xsi:type="boolean">true</item>
                    <item name="showCheckbox" xsi:type="boolean">true</item>
                    <item name="disableLabel" xsi:type="boolean">true</item>
                    <item name="multiple" xsi:type="boolean">true</item>
                    <item name="levelsVisibility" xsi:type="number">1</item>
                    <item name="sortOrder" xsi:type="number">70</item>
                    <item name="required" xsi:type="boolean">true</item>
                    <item name="validation" xsi:type="array">
                        <item name="required-entry" xsi:type="boolean">false</item>
                    </item>
                    <item name="listens" xsi:type="array">
                        <item name="${ $.namespace }.${ $.namespace }:responseData" xsi:type="string">setParsed</item>
                    </item>
                </item>
            </argument>
        </field>
    </fieldset>
</form>

Setup InstallData.php

....................
   public function install(
      ModuleDataSetupInterface $setup,
      ModuleContextInterface $context
    ) {
      /** @var EavSetup $eavSetup */
      $eavSetup = $this->_eavSetupFactory->create(['setup' => $setup]);
      $setup = $this->categorySetupFactory->create(['setup' => $setup]);         
       $eavSetup->addAttribute(
              MagentoCatalogModelProduct::ENTITY,
              'main_categories',
              [
                  'group' => 'General',
                  'type' => 'varchar',
                  'label' => 'Main Category',
                  'input' => 'text',
                  'source' => '',
                  'frontend' => '',
                  'backend' => '',
                  'required' => false,
                  'sort_order' => 11,
                  'global' => MagentoEavModelEntityAttributeScopedAttributeInterface::SCOPE_GLOBAL,
                  'is_used_in_grid' => false,
                  'is_visible_in_grid' => false,
                  'is_filterable_in_grid' => false,
                  'visible' => true,
                  'is_html_allowed_on_front' => true,
                  'visible_on_front' => true
              ]
          );
    }