The Problem: Yii2 utilizes by default UserIdentity configured in config/web.php for connection, this object apply one table to authentication ('identityClass' => 'app\panel\models\User'). How to authentication from diferent tables? Solution: Create instances in web.php to uses UserIdentify. eg:

$user = \Yii::$app->user;  
$school = \Yii::$app->school; 
$teacher = \Yii::$app->teacher;

My config/web.php

'user' => [
	'class'=>'yii\web\User',
	'identityClass' => 'app\models\User',
	'enableAutoLogin' => false,
	'authTimeout' => 60*30,
	'loginUrl' => ['dashboard/login'],
	'identityCookie' => [
		'name' => '_panelUser',
	]
],
'school'=>[
	'class'=>'yii\web\User',
	'identityClass' => 'app\models\SchoolUser',
	'enableAutoLogin' => false,
	'authTimeout' => 60*30,
	'loginUrl' => ['dashboard-school/login'],
	'identityCookie' => [
		'name' => '_panelSchool',
	]	
],
'teacher'=> [
	'class'=>'yii\web\User',
	'identityClass' => 'app\models\TeacherUser',
	'enableAutoLogin' => false,
	'authTimeout' => 60*30,
	'loginUrl' => ['dashboard-teacher/login'],
    'identityCookie' => [
		'name' => '_panelTeacher',
	]
],

Note that for each there is a identifyClass and one view login. Now, we need to create the models:

namespace app\models;
use Yii;
// My user
class User extends \yii\db\ActiveRecord implements \yii\web\IdentityInterface
{
    public static function tableName()
    {
        return '{{%user}}';
    }
    // to continues....

Model school:

namespace app\models;
use Yii;
// My School
class SchoolUser' extends \yii\db\ActiveRecord implements \yii\web\IdentityInterface
{
    public static function tableName()
    {
        return '{{%schoolUser}}';
    }
    // to continues
    

Model Teacher:

namespace app\models;
use Yii;
// My School
class TeacherUser'' extends \yii\db\ActiveRecord implements \yii\web\IdentityInterface
{
    public static function tableName()
    {
        return '{{%teacher}}';
    }
    // to continues....

Now In my example I want to have controllers for each type of access, without generating conflicts between them:

In Behavior of the controller i have defined for dashboard-school, teacher and user, the user object representing the authentication status or the ID of the user application component.

	//behaviors of the school
public function behaviors()
{
	return [
        'access' => [
            'class' => AccessControl::className(),
            'user'=>'school', // this user object defined in web.php
            'rules' => [
                [
                    'allow' => true,
                    'roles' => ['@'],
                ],
                [
                    'allow' => true,
                    'actions' => ['login'],                    
 'roles' => ['?'],

                ],
            ],
        ]
    ];
}

To use login:

//school
\Yii::$app->scholl->login($model, $this->rememberMe ? 3600*24*30 : 0);

//teacher
\Yii::$app->teacher->login($model, $this->rememberMe ? 3600*24*30 : 0);

For restrict access in views:

<?php if (!\Yii::$app->scholl->isGuest):?>
<h1>My school Name: <?=\Yii::$app->scholl->identity->name?>
<?php endif;?>

<?php if (!\Yii::$app->teacher->isGuest):?>
<h1>Teacher Name: <?=\Yii::$app->teacher->identity->name?>
<?php endif;?>

Always use the specific instance of the user you want to work with.

Criticism, suggestions and improvements, use the comments

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