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 |
|---|---|---|---|---|---|---|---|---|---|
| 46396 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5734 | 0.7016 | 0.8172 | [X:[1.3583], M:[1.2312, 1.0, 0.7688, 0.6417], q:[0.3208, 0.4479], qb:[0.6792, 0.9104], phi:[0.4104]] | [X:[[4]], M:[[-3], [0], [3], [-4]], q:[[-2], [5]], qb:[[2], [-1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.306 + t^2.462 + t^3. + t^3.156 + t^3.381 + t^3.538 + t^3.694 + t^3.919 + t^4.075 + t^4.613 + 2*t^4.769 + t^4.925 + t^5.306 + t^5.462 + t^5.688 + t^5.844 + t^6.156 + t^6.225 + t^6.312 + 2*t^6.381 + t^6.538 + t^6.763 + 2*t^6.919 + 2*t^7.075 + t^7.231 + t^7.3 + t^7.387 + t^7.456 + t^7.613 + t^7.769 + t^7.838 + 2*t^7.994 + 2*t^8.15 - t^8.306 + t^8.531 + 2*t^8.688 - t^4.231/y - t^6.694/y + (2*t^7.769)/y + t^8.306/y + (2*t^8.462)/y + t^8.619/y + t^8.688/y + (2*t^8.844)/y - t^4.231*y - t^6.694*y + 2*t^7.769*y + t^8.306*y + 2*t^8.462*y + t^8.619*y + t^8.688*y + 2*t^8.844*y | g1^3*t^2.306 + t^2.462/g1^2 + t^3. + t^3.156/g1^5 + g1^7*t^3.381 + g1^2*t^3.538 + t^3.694/g1^3 + g1^9*t^3.919 + g1^4*t^4.075 + g1^6*t^4.613 + 2*g1*t^4.769 + t^4.925/g1^4 + g1^3*t^5.306 + t^5.462/g1^2 + g1^10*t^5.688 + g1^5*t^5.844 + t^6.156/g1^5 + g1^12*t^6.225 + t^6.312/g1^10 + 2*g1^7*t^6.381 + g1^2*t^6.538 + g1^14*t^6.763 + 2*g1^9*t^6.919 + 2*g1^4*t^7.075 + t^7.231/g1 + g1^16*t^7.3 + t^7.387/g1^6 + g1^11*t^7.456 + g1^6*t^7.613 + g1*t^7.769 + g1^18*t^7.838 + 2*g1^13*t^7.994 + 2*g1^8*t^8.15 - g1^3*t^8.306 + g1^15*t^8.531 + 2*g1^10*t^8.688 - t^4.231/(g1*y) - t^6.694/(g1^3*y) + (2*g1*t^7.769)/y + (g1^3*t^8.306)/y + (2*t^8.462)/(g1^2*y) + t^8.619/(g1^7*y) + (g1^10*t^8.688)/y + (2*g1^5*t^8.844)/y - (t^4.231*y)/g1 - (t^6.694*y)/g1^3 + 2*g1*t^7.769*y + g1^3*t^8.306*y + (2*t^8.462*y)/g1^2 + (t^8.619*y)/g1^7 + g1^10*t^8.688*y + 2*g1^5*t^8.844*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 48209 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{5}$ | 0.5917 | 0.7355 | 0.8045 | [X:[1.3497], M:[1.2377, 1.0, 0.7623, 0.6503, 0.7623], q:[0.3252, 0.4371], qb:[0.6748, 0.9126], phi:[0.4126]] | 2*t^2.287 + t^2.475 + t^3. + t^3.189 + t^3.336 + t^3.525 + t^3.86 + t^4.049 + 3*t^4.574 + 3*t^4.762 + t^4.951 + 2*t^5.287 + 2*t^5.475 + 2*t^5.623 + 2*t^5.811 - t^6. - t^4.238/y - t^4.238*y | detail | |
| 48291 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.5887 | 0.7277 | 0.8089 | [X:[1.3667], M:[1.225, 1.0, 0.775, 0.6333, 0.8167], q:[0.3167, 0.4583], qb:[0.6833, 0.9083], phi:[0.4083]] | t^2.325 + 2*t^2.45 + t^3. + t^3.125 + t^3.425 + t^3.675 + t^3.975 + t^4.1 + t^4.65 + 3*t^4.775 + 3*t^4.9 + t^5.325 + 2*t^5.45 + t^5.575 + t^5.75 + t^5.875 - t^6. - t^4.225/y - t^4.225*y | detail | |
| 46972 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.5941 | 0.7418 | 0.8009 | [X:[1.3633], M:[1.2275, 1.0, 0.7725, 0.6367, 0.6825], q:[0.3183, 0.4541], qb:[0.6817, 0.9092], phi:[0.4092]] | t^2.048 + t^2.317 + t^2.455 + t^3. + t^3.138 + t^3.407 + t^3.545 + t^3.683 + t^4.09 + t^4.095 + t^4.365 + t^4.503 + t^4.635 + 2*t^4.772 + t^4.91 + t^5.048 + t^5.185 + t^5.317 + 2*t^5.455 + t^5.593 + t^5.725 + t^5.73 + t^5.862 - t^4.228/y - t^4.228*y | detail | |
| 47078 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.5868 | 0.724 | 0.8106 | [X:[1.3885], M:[1.2087, 1.0, 0.7913, 0.6115, 0.8202], q:[0.3058, 0.4856], qb:[0.6942, 0.9029], phi:[0.4029]] | t^2.374 + t^2.417 + t^2.461 + t^3. + t^3.043 + t^3.583 + t^3.626 + t^4.122 + t^4.165 + t^4.748 + 2*t^4.791 + 2*t^4.835 + t^4.878 + t^4.921 + t^5.374 + t^5.417 + t^5.461 + t^5.504 - t^4.209/y - t^4.209*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46314 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ | 0.7067 | 0.861 | 0.8208 | [M:[1.0, 1.0, 1.0, 0.8738], q:[0.4369, 0.5631], qb:[0.5631, 0.5631], phi:[0.4685]] | t^2.621 + t^2.811 + 3*t^3. + 2*t^3.379 + t^4.027 + 3*t^4.405 + 6*t^4.784 + t^5.243 + t^5.432 + t^5.621 + 3*t^5.811 - 2*t^6. - t^4.405/y - t^4.405*y | detail |