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 |
|---|---|---|---|---|---|---|---|---|---|
| 3213 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ | 0.615 | 0.7557 | 0.8139 | [X:[1.6], M:[0.4, 1.2, 0.7748, 0.7748], q:[0.8, 0.8], qb:[0.4252, 0.3748], phi:[0.4]] | [X:[[0, 0]], M:[[0, 0], [0, 0], [1, 1], [-1, 1]], q:[[-1, 0], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_4^2$, $ M_3^2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^4$, $ X_1$, $ M_4\phi_1\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_3q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ M_4q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2M_4$, $ \phi_1^2q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | 2*t^2.32 + t^2.4 + t^3.45 + 2*t^3.52 + 2*t^3.6 + t^3.75 + 3*t^4.65 + 2*t^4.72 + 2*t^4.8 + 2*t^5.77 + 4*t^5.85 + 4*t^5.92 - t^6. + t^6.9 + 6*t^6.97 + 6*t^7.05 + 4*t^7.12 + t^7.2 - 2*t^7.28 + t^7.5 + 3*t^8.1 + 6*t^8.17 + 6*t^8.25 - 2*t^8.32 - t^8.4 - 4*t^8.48 - t^4.2/y - (2*t^6.52)/y + t^7.65/y + (2*t^7.72)/y + (2*t^7.88)/y + (2*t^8.77)/y + (2*t^8.85)/y + (6*t^8.92)/y - t^4.2*y - 2*t^6.52*y + t^7.65*y + 2*t^7.72*y + 2*t^7.88*y + 2*t^8.77*y + 2*t^8.85*y + 6*t^8.92*y | (g2*t^2.32)/g1 + g1*g2*t^2.32 + t^2.4 + g2^2*t^3.45 + (g2*t^3.52)/g1 + g1*g2*t^3.52 + 2*t^3.6 + t^3.75/g2^2 + g2^2*t^4.65 + (g2^2*t^4.65)/g1^2 + g1^2*g2^2*t^4.65 + (g2*t^4.72)/g1 + g1*g2*t^4.72 + 2*t^4.8 + (g2^3*t^5.77)/g1 + g1*g2^3*t^5.77 + 2*g2^2*t^5.85 + (g2^2*t^5.85)/g1^2 + g1^2*g2^2*t^5.85 + (2*g2*t^5.92)/g1 + 2*g1*g2*t^5.92 - t^6. + g2^4*t^6.9 + (g2^3*t^6.97)/g1^3 + (2*g2^3*t^6.97)/g1 + 2*g1*g2^3*t^6.97 + g1^3*g2^3*t^6.97 + 2*g2^2*t^7.05 + (2*g2^2*t^7.05)/g1^2 + 2*g1^2*g2^2*t^7.05 + (2*g2*t^7.12)/g1 + 2*g1*g2*t^7.12 + t^7.2 - t^7.28/(g1*g2) - (g1*t^7.28)/g2 + t^7.5/g2^4 + g2^4*t^8.1 + (g2^4*t^8.1)/g1^2 + g1^2*g2^4*t^8.1 + (g2^3*t^8.17)/g1^3 + (2*g2^3*t^8.17)/g1 + 2*g1*g2^3*t^8.17 + g1^3*g2^3*t^8.17 + 2*g2^2*t^8.25 + (2*g2^2*t^8.25)/g1^2 + 2*g1^2*g2^2*t^8.25 - (g2*t^8.32)/g1 - g1*g2*t^8.32 - t^8.4 - (2*t^8.48)/(g1*g2) - (2*g1*t^8.48)/g2 - t^4.2/y - (g2*t^6.52)/(g1*y) - (g1*g2*t^6.52)/y + (g2^2*t^7.65)/y + (g2*t^7.72)/(g1*y) + (g1*g2*t^7.72)/y + t^7.88/(g1*g2*y) + (g1*t^7.88)/(g2*y) + (g2^3*t^8.77)/(g1*y) + (g1*g2^3*t^8.77)/y + (2*g2^2*t^8.85)/y + (3*g2*t^8.92)/(g1*y) + (3*g1*g2*t^8.92)/y - t^4.2*y - (g2*t^6.52*y)/g1 - g1*g2*t^6.52*y + g2^2*t^7.65*y + (g2*t^7.72*y)/g1 + g1*g2*t^7.72*y + (t^7.88*y)/(g1*g2) + (g1*t^7.88*y)/g2 + (g2^3*t^8.77*y)/g1 + g1*g2^3*t^8.77*y + 2*g2^2*t^8.85*y + (3*g2*t^8.92*y)/g1 + 3*g1*g2*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 3635 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6346 | 0.794 | 0.7993 | [X:[1.6], M:[0.4, 1.2, 0.7625, 0.7625, 0.7249], q:[0.8, 0.8], qb:[0.4375, 0.3625], phi:[0.4]] | t^2.17 + 2*t^2.29 + t^2.4 + t^3.37 + 2*t^3.49 + 2*t^3.6 + t^4.35 + 2*t^4.46 + 4*t^4.57 + 2*t^4.69 + 2*t^4.8 + t^5.55 + 4*t^5.66 + 6*t^5.77 + 4*t^5.89 - t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2704 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ | 0.5983 | 0.726 | 0.8241 | [X:[1.6], M:[0.4, 1.2, 0.7567], q:[0.8325, 0.7675], qb:[0.4108, 0.3892], phi:[0.4]] | t^2.27 + t^2.4 + t^3.47 + 2*t^3.54 + 2*t^3.6 + 2*t^3.66 + t^4.54 + t^4.67 + 2*t^4.8 + t^5.74 + 2*t^5.81 + 2*t^5.87 + 2*t^5.94 - t^6. - t^4.2/y - t^4.2*y | detail |