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 |
|---|---|---|---|---|---|---|---|---|---|
| 7 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.4925 | 0.5698 | 0.8643 | [X:[1.5254], M:[0.7119, 0.7119], q:[0.5254], qb:[0.5254], phi:[0.2373]] | [X:[[0, 2]], M:[[2, -7], [-2, 1]], q:[[-1, 4]], qb:[[1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ X_1$, $ M_1q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_1$ | . | -2 | 2*t^2.14 + t^3.15 + t^3.86 + 3*t^4.27 + t^4.58 + 2*t^5.29 - 2*t^6. + t^6.3 + 4*t^6.41 - t^6.71 + t^7.02 + 3*t^7.42 + t^7.73 - 4*t^8.14 + 5*t^8.54 - 4*t^8.85 - (2*t^8.85)/y^2 - t^3.71/y - (2*t^5.85)/y + t^7.27/y + (2*t^7.58)/y - (3*t^7.98)/y + (2*t^8.29)/y - t^3.71*y - 2*t^5.85*y + t^7.27*y + 2*t^7.58*y - 3*t^7.98*y + 2*t^8.29*y - 2*t^8.85*y^2 | (g1^2*t^2.14)/g2^7 + (g2*t^2.14)/g1^2 + g2^4*t^3.15 + g2^3*t^3.86 + (g1^4*t^4.27)/g2^14 + t^4.27/g2^6 + (g2^2*t^4.27)/g1^4 + g2^2*t^4.58 + (g1^2*t^5.29)/g2^3 + (g2^5*t^5.29)/g1^2 - 2*t^6. + g2^8*t^6.3 + (g1^6*t^6.41)/g2^21 + (g1^2*t^6.41)/g2^13 + t^6.41/(g1^2*g2^5) + (g2^3*t^6.41)/g1^6 - t^6.71/g2 + g2^7*t^7.02 + (g1^4*t^7.42)/g2^10 + t^7.42/g2^2 + (g2^6*t^7.42)/g1^4 + g2^6*t^7.73 - (2*g1^2*t^8.14)/g2^7 - (2*g2*t^8.14)/g1^2 + (g1^8*t^8.54)/g2^28 + (g1^4*t^8.54)/g2^20 + t^8.54/g2^12 + t^8.54/(g1^4*g2^4) + (g2^4*t^8.54)/g1^8 - (2*t^8.85)/g1^2 - (2*g1^2*t^8.85)/g2^8 - t^8.85/(g1^2*y^2) - (g1^2*t^8.85)/(g2^8*y^2) - t^3.71/(g2*y) - t^5.85/(g1^2*y) - (g1^2*t^5.85)/(g2^8*y) + t^7.27/(g2^6*y) + (g1^2*t^7.58)/(g2^2*y) + (g2^6*t^7.58)/(g1^2*y) - (g1^4*t^7.98)/(g2^15*y) - t^7.98/(g2^7*y) - (g2*t^7.98)/(g1^4*y) + (g1^2*t^8.29)/(g2^3*y) + (g2^5*t^8.29)/(g1^2*y) - (t^3.71*y)/g2 - (t^5.85*y)/g1^2 - (g1^2*t^5.85*y)/g2^8 + (t^7.27*y)/g2^6 + (g1^2*t^7.58*y)/g2^2 + (g2^6*t^7.58*y)/g1^2 - (g1^4*t^7.98*y)/g2^15 - (t^7.98*y)/g2^7 - (g2*t^7.98*y)/g1^4 + (g1^2*t^8.29*y)/g2^3 + (g2^5*t^8.29*y)/g1^2 - (t^8.85*y^2)/g1^2 - (g1^2*t^8.85*y^2)/g2^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 17 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1q_1\tilde{q}_1$ | 0.5129 | 0.6085 | 0.8428 | [X:[1.5308], M:[0.7038, 0.7038, 0.7038], q:[0.5308], qb:[0.5308], phi:[0.2346]] | 3*t^2.11 + t^3.18 + 6*t^4.22 + t^4.59 + 3*t^5.3 - 4*t^6. - t^3.7/y - (3*t^5.82)/y - t^3.7*y - 3*t^5.82*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 |
|---|---|---|---|---|---|---|---|---|---|
| 104 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ | 0.4925 | 0.5698 | 0.8643 | [X:[1.5254], M:[0.7119, 0.7119], q:[0.8813, 0.4067], qb:[0.8813, 0.8813], phi:[0.2373]] | 2*t^2.14 + t^3.15 + t^3.86 + 3*t^4.27 + t^4.58 + 2*t^5.29 - 2*t^6. - t^3.71/y - (2*t^5.85)/y - t^3.71*y - 2*t^5.85*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.5258], qb:[0.5009], phi:[0.2433]] | t^2.12 + t^3.08 + t^3.74 + t^3.81 + t^4.23 + t^4.54 + t^5.2 + t^5.85 - 2*t^6. - t^3.73/y - t^5.85/y - t^3.73*y - t^5.85*y | detail |