Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
45994 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6218 | 0.7781 | 0.7992 | [M:[1.1561, 0.6878, 1.1561], q:[0.75, 0.4061], qb:[0.4061, 0.4378], phi:[0.5]] | [M:[[1, 0], [0, 1], [-1, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | -2 | t^2.063 + t^2.437 + t^3. + 4*t^3.468 + t^3.563 + 2*t^3.937 + 2*t^4.032 + 2*t^4.127 + t^4.5 + t^4.873 + t^5.063 + t^5.437 + 4*t^5.532 + t^5.627 + 2*t^5.905 - 2*t^6. + 2*t^6.19 + 2*t^6.373 + 2*t^6.468 + t^6.563 + 9*t^6.937 + 2*t^7.032 + 2*t^7.127 + t^7.31 + 4*t^7.405 + 3*t^7.5 + 6*t^7.595 + 2*t^7.69 + 3*t^7.873 + 2*t^7.968 - t^8.063 + 2*t^8.158 + 3*t^8.253 + 2*t^8.342 - 2*t^8.437 + t^8.627 + 2*t^8.81 - t^4.5/y - t^6.563/y + (2*t^7.032)/y + t^7.5/y - (2*t^7.968)/y + t^8.063/y + (2*t^8.437)/y + (4*t^8.532)/y + (4*t^8.905)/y - t^4.5*y - t^6.563*y + 2*t^7.032*y + t^7.5*y - 2*t^7.968*y + t^8.063*y + 2*t^8.437*y + 4*t^8.532*y + 4*t^8.905*y | g2*t^2.063 + t^2.437/g2 + t^3. + 2*g1*t^3.468 + (2*t^3.468)/(g1*g2) + g2*t^3.563 + g1^2*t^3.937 + t^3.937/(g1^2*g2^2) + t^4.032/g1 + g1*g2*t^4.032 + 2*g2^2*t^4.127 + t^4.5 + t^4.873/g2^2 + g2*t^5.063 + t^5.437/g2 + (2*t^5.532)/g1 + 2*g1*g2*t^5.532 + g2^2*t^5.627 + t^5.905/(g1*g2^2) + (g1*t^5.905)/g2 - 2*t^6. + 2*g2^3*t^6.19 + t^6.373/(g1^2*g2^3) + (g1^2*t^6.373)/g2 + g1*t^6.468 + t^6.468/(g1*g2) + g2*t^6.563 + 3*g1^2*t^6.937 + (3*t^6.937)/(g1^2*g2^2) + (3*t^6.937)/g2 + t^7.032/g1 + g1*g2*t^7.032 + 2*g2^2*t^7.127 + t^7.31/g2^3 + 2*g1^3*t^7.405 + (2*t^7.405)/(g1^3*g2^3) + t^7.5 + t^7.5/(g1^2*g2) + g1^2*g2*t^7.5 + (3*g2*t^7.595)/g1 + 3*g1*g2^2*t^7.595 + 2*g2^3*t^7.69 + g1^4*t^7.873 + t^7.873/(g1^4*g2^4) + t^7.873/g2^2 + t^7.968/(g1^3*g2^2) + g1^3*g2*t^7.968 + t^8.063/g1^2 - 3*g2*t^8.063 + g1^2*g2^2*t^8.063 + (g2^2*t^8.158)/g1 + g1*g2^3*t^8.158 + 3*g2^4*t^8.253 + t^8.342/(g1*g2^3) + (g1*t^8.342)/g2^2 - (2*t^8.437)/g2 + g2^2*t^8.627 + t^8.81/(g1^2*g2^4) + (g1^2*t^8.81)/g2^2 - t^4.5/y - (g2*t^6.563)/y + t^7.032/(g1*y) + (g1*g2*t^7.032)/y + t^7.5/y - (g1*t^7.968)/y - t^7.968/(g1*g2*y) + (g2*t^8.063)/y + (2*t^8.437)/(g2*y) + (2*t^8.532)/(g1*y) + (2*g1*g2*t^8.532)/y + (2*t^8.905)/(g1*g2^2*y) + (2*g1*t^8.905)/(g2*y) - t^4.5*y - g2*t^6.563*y + (t^7.032*y)/g1 + g1*g2*t^7.032*y + t^7.5*y - g1*t^7.968*y - (t^7.968*y)/(g1*g2) + g2*t^8.063*y + (2*t^8.437*y)/g2 + (2*t^8.532*y)/g1 + 2*g1*g2*t^8.532*y + (2*t^8.905*y)/(g1*g2^2) + (2*g1*t^8.905*y)/g2 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
46177 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6381 | 0.8072 | 0.7905 | [M:[1.1472, 0.7056, 1.1472, 0.7944], q:[0.75, 0.3972], qb:[0.3972, 0.4556], phi:[0.5]] | t^2.117 + 2*t^2.383 + t^3. + 4*t^3.442 + 2*t^3.883 + 2*t^4.058 + 2*t^4.233 + 2*t^4.5 + 3*t^4.767 + t^5.117 + 2*t^5.383 + 4*t^5.558 + 6*t^5.825 - 3*t^6. - t^4.5/y - t^4.5*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
45938 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6363 | 0.8038 | 0.7916 | [M:[1.142, 0.6775], q:[0.75, 0.4306], qb:[0.392, 0.4275], phi:[0.5]] | t^2.032 + t^2.458 + t^2.468 + t^3. + 2*t^3.426 + t^3.532 + t^3.542 + t^3.852 + t^3.958 + 2*t^4.065 + t^4.074 + t^4.083 + t^4.491 + t^4.5 + t^4.917 + t^4.926 + t^4.935 + t^5.032 + 3*t^5.458 + t^5.468 + t^5.565 + t^5.574 + 2*t^5.884 + t^5.893 + t^5.991 - t^6. - t^4.5/y - t^4.5*y | detail |