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 |
|---|---|---|---|---|---|---|---|---|---|
| 47948 | SU3adj1nf2 | $\phi_1^2q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1q_1\tilde{q}_2$ | 1.0831 | 1.1944 | 0.9068 | [X:[1.5365], M:[], q:[1.0773, 0.3819], qb:[0.4592, 0.691], phi:[0.2318]] | [X:[[0, 2]], M:[], q:[[-1, 1], [-1, 4]], qb:[[1, 1], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^3$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^6$, $ q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ X_1$, $ q_2^2\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1^3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^3q_2^3$, $ \phi_1q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$ | $\phi_1^4q_2\tilde{q}_2$ | -2 | t^2.09 + t^2.52 + 2*t^3.22 + t^3.91 + t^4.17 + 3*t^4.61 + t^5.05 + 2*t^5.3 + 2*t^5.52 + 2*t^5.74 - 2*t^6. + 2*t^6.22 + t^6.26 + 4*t^6.44 + 5*t^7.13 + t^7.39 + t^7.57 + 6*t^7.83 + 2*t^8.05 - t^8.09 + 2*t^8.27 - 2*t^8.3 + t^8.34 + t^8.52 + 6*t^8.74 + 4*t^8.96 + t^8.09/y^2 - t^8.78/y^2 - t^3.7/y - t^4.39/y - t^5.78/y - t^6.22/y - t^6.48/y - (2*t^6.91)/y - t^7.87/y - t^8.56/y + t^8.74/y - t^3.7*y - t^4.39*y - t^5.78*y - t^6.22*y - t^6.48*y - 2*t^6.91*y - t^7.87*y - t^8.56*y + t^8.74*y + t^8.09*y^2 - t^8.78*y^2 | t^2.09/g2^3 + g2^5*t^2.52 + 2*g2^4*t^3.22 + g2^3*t^3.91 + t^4.17/g2^6 + 3*g2^2*t^4.61 + g2^10*t^5.05 + 2*g2*t^5.3 + g1^3*g2*t^5.52 + (g2^9*t^5.52)/g1^3 + 2*g2^9*t^5.74 - 2*t^6. + g1^3*t^6.22 + (g2^8*t^6.22)/g1^3 + t^6.26/g2^9 + 4*g2^8*t^6.44 + 5*g2^7*t^7.13 + t^7.39/g2^2 + g2^15*t^7.57 + 6*g2^6*t^7.83 + g1^3*g2^6*t^8.05 + (g2^14*t^8.05)/g1^3 - t^8.09/g2^3 + 2*g2^14*t^8.27 - (g1^3*t^8.3)/g2^3 - (g2^5*t^8.3)/g1^3 + t^8.34/g2^12 + g2^5*t^8.52 + 3*g1^3*g2^5*t^8.74 + (3*g2^13*t^8.74)/g1^3 + 4*g2^13*t^8.96 + t^8.09/(g2^3*y^2) - t^8.78/(g2^4*y^2) - t^3.7/(g2*y) - t^4.39/(g2^2*y) - t^5.78/(g2^4*y) - (g2^4*t^6.22)/y - t^6.48/(g2^5*y) - (2*g2^3*t^6.91)/y - t^7.87/(g2^7*y) - t^8.56/(g2^8*y) + (g2^9*t^8.74)/y - (t^3.7*y)/g2 - (t^4.39*y)/g2^2 - (t^5.78*y)/g2^4 - g2^4*t^6.22*y - (t^6.48*y)/g2^5 - 2*g2^3*t^6.91*y - (t^7.87*y)/g2^7 - (t^8.56*y)/g2^8 + g2^9*t^8.74*y + (t^8.09*y^2)/g2^3 - (t^8.78*y^2)/g2^4 |
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 |