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 |
|---|---|---|---|---|---|---|---|---|---|
| 47212 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.707 | 0.865 | 0.8174 | [M:[1.0549, 0.8901, 0.9451, 1.0, 0.9451], q:[0.5, 0.4451], qb:[0.6099, 0.5549], phi:[0.4725]] | [M:[[2], [-4], [-2], [0], [-2]], q:[[0], [-2]], qb:[[4], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{1}M_{5}$ | 0 | t^2.67 + 3*t^2.835 + t^3. + t^3.165 + t^3.495 + t^4.088 + t^4.253 + 2*t^4.418 + 2*t^4.582 + 2*t^4.747 + t^4.912 + t^5.077 + t^5.341 + 2*t^5.505 + 5*t^5.67 + t^5.835 - t^6.165 + t^6.33 + t^6.659 + t^6.758 + 3*t^6.923 + t^6.989 + 4*t^7.088 + 5*t^7.253 + 5*t^7.418 + 4*t^7.582 + 2*t^7.747 + 2*t^7.912 + t^8.011 + t^8.077 + 3*t^8.176 + t^8.242 + 4*t^8.341 + t^8.407 + 7*t^8.505 + t^8.571 - 2*t^8.835 - t^4.418/y - t^7.088/y - (2*t^7.253)/y + (2*t^7.582)/y + t^7.747/y + (3*t^8.505)/y + (4*t^8.67)/y + (4*t^8.835)/y - t^4.418*y - t^7.088*y - 2*t^7.253*y + 2*t^7.582*y + t^7.747*y + 3*t^8.505*y + 4*t^8.67*y + 4*t^8.835*y | t^2.67/g1^4 + (3*t^2.835)/g1^2 + t^3. + g1^2*t^3.165 + g1^6*t^3.495 + t^4.088/g1^5 + t^4.253/g1^3 + (2*t^4.418)/g1 + 2*g1*t^4.582 + 2*g1^3*t^4.747 + g1^5*t^4.912 + g1^7*t^5.077 + t^5.341/g1^8 + (2*t^5.505)/g1^6 + (5*t^5.67)/g1^4 + t^5.835/g1^2 - g1^2*t^6.165 + g1^4*t^6.33 + g1^8*t^6.659 + t^6.758/g1^9 + (3*t^6.923)/g1^7 + g1^12*t^6.989 + (4*t^7.088)/g1^5 + (5*t^7.253)/g1^3 + (5*t^7.418)/g1 + 4*g1*t^7.582 + 2*g1^3*t^7.747 + 2*g1^5*t^7.912 + t^8.011/g1^12 + g1^7*t^8.077 + (3*t^8.176)/g1^10 + g1^9*t^8.242 + (4*t^8.341)/g1^8 + g1^11*t^8.407 + (7*t^8.505)/g1^6 + g1^13*t^8.571 - (2*t^8.835)/g1^2 - t^4.418/(g1*y) - t^7.088/(g1^5*y) - (2*t^7.253)/(g1^3*y) + (2*g1*t^7.582)/y + (g1^3*t^7.747)/y + (3*t^8.505)/(g1^6*y) + (4*t^8.67)/(g1^4*y) + (4*t^8.835)/(g1^2*y) - (t^4.418*y)/g1 - (t^7.088*y)/g1^5 - (2*t^7.253*y)/g1^3 + 2*g1*t^7.582*y + g1^3*t^7.747*y + (3*t^8.505*y)/g1^6 + (4*t^8.67*y)/g1^4 + (4*t^8.835*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55525 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.7125 | 0.8748 | 0.8145 | [M:[1.0639, 0.8722, 0.9361, 1.0, 0.9361, 0.9361], q:[0.5, 0.4361], qb:[0.6278, 0.5639], phi:[0.4681]] | t^2.617 + 4*t^2.808 + t^3. + t^3.575 + t^4.021 + t^4.212 + 2*t^4.404 + 2*t^4.596 + 2*t^4.788 + t^4.979 + t^5.171 + t^5.233 + 3*t^5.425 + 9*t^5.617 + t^5.808 - 3*t^6. - t^4.404/y - t^4.404*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46476 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ | 0.7222 | 0.8878 | 0.8134 | [M:[0.9818, 0.8228, 1.0182, 1.0, 0.8046], q:[0.5, 0.5182], qb:[0.6772, 0.4818], phi:[0.4557]] | t^2.414 + t^2.468 + t^2.734 + t^2.945 + t^3. + t^3.055 + t^3.477 + t^4.258 + t^4.312 + 2*t^4.367 + t^4.422 + t^4.477 + t^4.828 + t^4.844 + t^4.882 + t^4.899 + t^4.937 + t^4.953 + t^5.148 + t^5.203 + t^5.359 + t^5.414 + t^5.43 + 2*t^5.468 + t^5.68 + t^5.734 + t^5.789 + t^5.891 - 2*t^6. - t^4.367/y - t^4.367*y | detail |