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 |
|---|---|---|---|---|---|---|---|---|---|
| 288 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5456 | 0.6887 | 0.7923 | [M:[0.9921, 1.0079, 0.8594], q:[0.5782, 0.9921], qb:[0.4297, 0.2812], phi:[0.4297]] | [M:[[7], [-7], [-2]], q:[[-6], [7]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.133 + 3*t^2.578 + t^2.976 + t^3.024 + t^3.82 + t^3.867 + 2*t^4.265 + 4*t^4.711 + t^5.109 + 6*t^5.156 + 2*t^5.555 + 2*t^5.602 + 2*t^5.953 - 2*t^6. + t^6.047 + 3*t^6.398 + t^6.796 + 4*t^6.844 + t^7.242 + 6*t^7.289 + t^7.64 + t^7.687 + 9*t^7.735 + 3*t^8.085 - 2*t^8.133 + 3*t^8.18 + 6*t^8.531 - 8*t^8.578 + 2*t^8.626 + 2*t^8.929 + 2*t^8.976 - t^4.289/y - (2*t^6.867)/y + (5*t^7.711)/y + t^8.109/y + (4*t^8.156)/y + (3*t^8.555)/y + (3*t^8.602)/y + t^8.953/y - t^4.289*y - 2*t^6.867*y + 5*t^7.711*y + t^8.109*y + 4*t^8.156*y + 3*t^8.555*y + 3*t^8.602*y + t^8.953*y | g1^3*t^2.133 + (3*t^2.578)/g1^2 + g1^7*t^2.976 + t^3.024/g1^7 + g1^11*t^3.82 + t^3.867/g1^3 + 2*g1^6*t^4.265 + 4*g1*t^4.711 + g1^10*t^5.109 + (6*t^5.156)/g1^4 + 2*g1^5*t^5.555 + (2*t^5.602)/g1^9 + 2*g1^14*t^5.953 - 2*t^6. + t^6.047/g1^14 + 3*g1^9*t^6.398 + g1^18*t^6.796 + 4*g1^4*t^6.844 + g1^13*t^7.242 + (6*t^7.289)/g1 + g1^22*t^7.64 + g1^8*t^7.687 + (9*t^7.735)/g1^6 + 3*g1^17*t^8.085 - 2*g1^3*t^8.133 + (3*t^8.18)/g1^11 + 6*g1^12*t^8.531 - (8*t^8.578)/g1^2 + (2*t^8.626)/g1^16 + 2*g1^21*t^8.929 + 2*g1^7*t^8.976 - t^4.289/(g1*y) - (2*t^6.867)/(g1^3*y) + (5*g1*t^7.711)/y + (g1^10*t^8.109)/y + (4*t^8.156)/(g1^4*y) + (3*g1^5*t^8.555)/y + (3*t^8.602)/(g1^9*y) + (g1^14*t^8.953)/y - (t^4.289*y)/g1 - (2*t^6.867*y)/g1^3 + 5*g1*t^7.711*y + g1^10*t^8.109*y + (4*t^8.156*y)/g1^4 + 3*g1^5*t^8.555*y + (3*t^8.602*y)/g1^9 + g1^14*t^8.953*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 |
|---|---|---|---|---|---|---|---|---|
| 461 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5659 | 0.7273 | 0.7781 | [M:[0.9873, 1.0127, 0.8608, 0.7089], q:[0.5823, 0.9873], qb:[0.4304, 0.2785], phi:[0.4304]] | 2*t^2.127 + 3*t^2.582 + t^2.962 + t^3.038 + t^3.797 + 4*t^4.253 + 7*t^4.709 + 2*t^5.089 + 7*t^5.165 + 2*t^5.544 + 2*t^5.62 + 3*t^5.924 - 3*t^6. - t^4.291/y - t^4.291*y | detail | |
| 1766 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.5659 | 0.7271 | 0.7782 | [M:[1.0074, 0.9926, 0.855, 0.7027], q:[0.5651, 1.0074], qb:[0.4275, 0.2899], phi:[0.4275]] | t^2.108 + t^2.152 + 3*t^2.565 + t^2.978 + t^3.022 + t^3.848 + t^4.216 + t^4.26 + 2*t^4.305 + 3*t^4.673 + 4*t^4.717 + t^5.086 + 7*t^5.13 + t^5.175 + 2*t^5.543 + 2*t^5.587 + 2*t^5.956 - 2*t^6. - t^4.283/y - t^4.283*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 |
|---|---|---|---|---|---|---|---|---|---|
| 185 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ | 0.5333 | 0.6681 | 0.7983 | [M:[0.981, 1.019], q:[0.5878, 0.981], qb:[0.4313, 0.2748], phi:[0.4313]] | t^2.118 + 2*t^2.588 + t^2.943 + t^3.057 + t^3.412 + t^3.767 + t^3.882 + 2*t^4.237 + 3*t^4.706 + t^5.061 + 3*t^5.176 + 2*t^5.531 + t^5.645 + 2*t^5.886 - t^4.294/y - t^4.294*y | detail |