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 |
|---|---|---|---|---|---|---|---|---|---|
| 47881 | SU3adj1nf2 | $\phi_1^2q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_1\phi_1^3$ | 1.3224 | 1.4876 | 0.8889 | [X:[1.3809], M:[1.0713], q:[0.6904, 0.3809], qb:[0.6904, 0.3809], phi:[0.3096]] | [X:[[0, 0, 2]], M:[[0, 0, 3]], q:[[-1, 0, 2], [0, -1, 4]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_1$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1q_2^2$, $ q_1q_2\tilde{q}_2^2$, $ M_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$ | . | -5 | t^2.29 + 4*t^3.21 + 5*t^4.14 + t^4.57 + t^5.07 + 2*t^5.29 + 4*t^5.5 - 5*t^6. + 6*t^6.21 + 15*t^6.43 + t^6.86 - 7*t^6.93 + 20*t^7.36 + 2*t^7.57 + 4*t^7.78 - 3*t^7.86 - 8*t^8.07 + 10*t^8.29 + 14*t^8.5 + 15*t^8.71 + 2*t^8.79 + t^8.79/y^2 - t^3.93/y - t^4.86/y - t^6.21/y - (4*t^7.14)/y - (5*t^8.07)/y + (3*t^8.5)/y - t^3.93*y - t^4.86*y - t^6.21*y - 4*t^7.14*y - 5*t^8.07*y + 3*t^8.5*y + t^8.79*y^2 | g3^4*t^2.29 + (g2*g3^2*t^3.21)/g1 + 2*g3^3*t^3.21 + (g1*g3^4*t^3.21)/g2 + (g2*g3*t^4.14)/g1 + 3*g3^2*t^4.14 + (g1*g3^3*t^4.14)/g2 + g3^8*t^4.57 + g3*t^5.07 + (g1*g2^2*t^5.29)/g3 + (g3^9*t^5.29)/(g1*g2^2) + (g2*g3^6*t^5.5)/g1 + 2*g3^7*t^5.5 + (g1*g3^8*t^5.5)/g2 - 3*t^6. - (g2*t^6.)/(g1*g3) - (g1*g3*t^6.)/g2 + (g2^3*t^6.21)/g3^3 + (g1*g2^2*t^6.21)/g3^2 + (g1^2*g2*t^6.21)/g3 + (g3^7*t^6.21)/(g1^2*g2) + (g3^8*t^6.21)/(g1*g2^2) + (g3^9*t^6.21)/g2^3 + (g2^2*g3^4*t^6.43)/g1^2 + (3*g2*g3^5*t^6.43)/g1 + 7*g3^6*t^6.43 + (3*g1*g3^7*t^6.43)/g2 + (g1^2*g3^8*t^6.43)/g2^2 + g3^12*t^6.86 - (2*g1*t^6.93)/g2 - (2*g2*t^6.93)/(g1*g3^2) - (3*t^6.93)/g3 + (g2^2*g3^3*t^7.36)/g1^2 + (5*g2*g3^4*t^7.36)/g1 + 8*g3^5*t^7.36 + (5*g1*g3^6*t^7.36)/g2 + (g1^2*g3^7*t^7.36)/g2^2 + g1*g2^2*g3^3*t^7.57 + (g3^13*t^7.57)/(g1*g2^2) + (g2*g3^10*t^7.78)/g1 + 2*g3^11*t^7.78 + (g1*g3^12*t^7.78)/g2 - (g2*t^7.86)/(g1*g3^3) - t^7.86/g3^2 - (g1*t^7.86)/(g2*g3) - (g2^3*t^8.07)/g3^5 - (2*g1*g2^2*t^8.07)/g3^4 - (g1^2*g2*t^8.07)/g3^3 - (g3^5*t^8.07)/(g1^2*g2) - (2*g3^6*t^8.07)/(g1*g2^2) - (g3^7*t^8.07)/g2^3 + (g2^2*g3^2*t^8.29)/g1^2 + (2*g2*g3^3*t^8.29)/g1 + 4*g3^4*t^8.29 + (2*g1*g3^5*t^8.29)/g2 + (g1^2*g3^6*t^8.29)/g2^2 + 2*g2^3*g3*t^8.5 + 3*g1*g2^2*g3^2*t^8.5 + 2*g1^2*g2*g3^3*t^8.5 + (2*g3^11*t^8.5)/(g1^2*g2) + (3*g3^12*t^8.5)/(g1*g2^2) + (2*g3^13*t^8.5)/g2^3 + (g2^2*g3^8*t^8.71)/g1^2 + (3*g2*g3^9*t^8.71)/g1 + 7*g3^10*t^8.71 + (3*g1*g3^11*t^8.71)/g2 + (g1^2*g3^12*t^8.71)/g2^2 + (2*t^8.79)/g3^3 + t^8.79/(g3^3*y^2) - t^3.93/(g3*y) - t^4.86/(g3^2*y) - (g3^3*t^6.21)/y - (g2*g3*t^7.14)/(g1*y) - (2*g3^2*t^7.14)/y - (g1*g3^3*t^7.14)/(g2*y) - (g2*t^8.07)/(g1*y) - (3*g3*t^8.07)/y - (g1*g3^2*t^8.07)/(g2*y) + (g2*g3^6*t^8.5)/(g1*y) + (g3^7*t^8.5)/y + (g1*g3^8*t^8.5)/(g2*y) - (t^3.93*y)/g3 - (t^4.86*y)/g3^2 - g3^3*t^6.21*y - (g2*g3*t^7.14*y)/g1 - 2*g3^2*t^7.14*y - (g1*g3^3*t^7.14*y)/g2 - (g2*t^8.07*y)/g1 - 3*g3*t^8.07*y - (g1*g3^2*t^8.07*y)/g2 + (g2*g3^6*t^8.5*y)/g1 + g3^7*t^8.5*y + (g1*g3^8*t^8.5*y)/g2 + (t^8.79*y^2)/g3^3 |
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 |