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 |
|---|---|---|---|---|---|---|---|---|---|
| 47945 | SU3adj1nf2 | $\phi_1^2q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1q_2^2\tilde{q}_2^2$ | 1.3256 | 1.4774 | 0.8973 | [X:[1.4286], M:[], q:[0.7143, 0.4286], qb:[0.7143, 0.4286], phi:[0.2857]] | [X:[[0, 0]], M:[], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 7275/5488, c: 2027/1372, X1: 10/7, q1: 5/7, q2: 3/7, qb1: 5/7, qb2: 3/7, phi1: 2/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^6$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$ | $\phi_1^4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | 1 | 2*t^2.57 + 3*t^3.43 + 5*t^4.29 + 4*t^5.14 + 2*t^5.57 + t^6. + 6*t^6.43 + 9*t^6.86 + 17*t^7.71 - 4*t^8.14 + 15*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (2*t^6.43)/y - (4*t^7.29)/y - (3*t^8.14)/y - t^3.86*y - t^4.71*y - 2*t^6.43*y - 4*t^7.29*y - 3*t^8.14*y + t^8.57*y^2 | 2*t^2.57 + t^3.43 + (g1*t^3.43)/g2 + (g2*t^3.43)/g1 + 3*t^4.29 + (g1*t^4.29)/g2 + (g2*t^4.29)/g1 + 4*t^5.14 + t^5.57/(g1*g2^2) + g1*g2^2*t^5.57 - t^6. + (g1*t^6.)/g2 + (g2*t^6.)/g1 + t^6.43/g2^3 + t^6.43/(g1*g2^2) + t^6.43/(g1^2*g2) + g1^2*g2*t^6.43 + g1*g2^2*t^6.43 + g2^3*t^6.43 + 5*t^6.86 + (g1^2*t^6.86)/g2^2 + (g1*t^6.86)/g2 + (g2*t^6.86)/g1 + (g2^2*t^6.86)/g1^2 + 9*t^7.71 + (g1^2*t^7.71)/g2^2 + (3*g1*t^7.71)/g2 + (3*g2*t^7.71)/g1 + (g2^2*t^7.71)/g1^2 - t^8.14/g2^3 - t^8.14/(g1^2*g2) - g1^2*g2*t^8.14 - g2^3*t^8.14 + 5*t^8.57 + (g1^2*t^8.57)/g2^2 + (4*g1*t^8.57)/g2 + (4*g2*t^8.57)/g1 + (g2^2*t^8.57)/g1^2 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (2*t^6.43)/y - (2*t^7.29)/y - (g1*t^7.29)/(g2*y) - (g2*t^7.29)/(g1*y) - t^8.14/y - (g1*t^8.14)/(g2*y) - (g2*t^8.14)/(g1*y) - t^3.86*y - t^4.71*y - 2*t^6.43*y - 2*t^7.29*y - (g1*t^7.29*y)/g2 - (g2*t^7.29*y)/g1 - t^8.14*y - (g1*t^8.14*y)/g2 - (g2*t^8.14*y)/g1 + t^8.57*y^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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47872 | SU3adj1nf2 | $\phi_1^2q_1\tilde{q}_1$ + $ \phi_1^2X_1$ | 1.33 | 1.4939 | 0.8903 | [X:[1.3964], M:[], q:[0.6982, 0.3964], qb:[0.6982, 0.3964], phi:[0.3018]] | t^2.38 + t^2.72 + 3*t^3.28 + 5*t^4.19 + t^4.76 + 2*t^5.09 + 2*t^5.38 + t^5.43 + 3*t^5.66 - 2*t^6. - t^3.91/y - t^4.81/y - t^3.91*y - t^4.81*y | detail |