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 |
|---|---|---|---|---|---|---|---|---|---|
| 46149 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3q_1q_2$ + $ M_4q_2\tilde{q}_1$ | 0.6383 | 0.8085 | 0.7895 | [X:[], M:[1.1539, 0.6923, 0.7923, 1.1384], q:[0.75, 0.4577], qb:[0.4039, 0.3884], phi:[0.5]] | [X:[], M:[[1, 0], [-2, 0], [1, 1], [0, 1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_2$, $ M_1$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ \phi_1q_2^2$, $ M_2M_3$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_2q_1\tilde{q}_2$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ M_3M_4$, $ M_3q_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_1M_3$, $ M_3q_1\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$ | . | -3 | t^2.08 + 2*t^2.38 + t^3. + 2*t^3.42 + 2*t^3.46 + t^3.83 + t^3.88 + t^4.04 + t^4.08 + t^4.15 + t^4.25 + 2*t^4.45 + 3*t^4.75 + t^5.08 + 2*t^5.38 + 2*t^5.49 + 2*t^5.54 + 3*t^5.79 + 3*t^5.84 + t^5.91 - 3*t^6. - t^6.05 + t^6.12 + t^6.21 + t^6.23 + 2*t^6.25 + t^6.32 + 2*t^6.42 + 2*t^6.46 + 2*t^6.53 + 6*t^6.83 + 3*t^6.88 + 2*t^6.92 - t^7.04 - t^7.08 + 4*t^7.13 + t^7.15 + 2*t^7.25 + 2*t^7.29 + 2*t^7.45 + 2*t^7.57 + 2*t^7.62 + t^7.66 + t^7.71 + 3*t^7.75 + 4*t^7.87 + 3*t^7.92 - t^7.96 + t^7.98 - 2*t^8.08 - t^8.12 + 4*t^8.17 + t^8.19 + 4*t^8.22 + 2*t^8.28 + t^8.31 + t^8.33 - 6*t^8.38 + t^8.4 - 2*t^8.42 + 3*t^8.49 + t^8.58 + 2*t^8.61 + 3*t^8.63 + 2*t^8.79 + 2*t^8.84 + 6*t^8.91 + 2*t^8.95 - t^4.5/y - t^6.58/y - t^6.88/y + t^7.04/y + t^7.08/y + (2*t^7.45)/y + t^7.75/y - t^7.92/y - t^7.96/y + t^8.08/y + t^8.12/y + (2*t^8.38)/y + t^8.42/y + (2*t^8.49)/y + (2*t^8.54)/y - t^8.65/y + (4*t^8.79)/y + (4*t^8.84)/y + t^8.91/y - t^4.5*y - t^6.58*y - t^6.88*y + t^7.04*y + t^7.08*y + 2*t^7.45*y + t^7.75*y - t^7.92*y - t^7.96*y + t^8.08*y + t^8.12*y + 2*t^8.38*y + t^8.42*y + 2*t^8.49*y + 2*t^8.54*y - t^8.65*y + 4*t^8.79*y + 4*t^8.84*y + t^8.91*y | t^2.08/g1^2 + 2*g1*g2*t^2.38 + t^3. + 2*g2*t^3.42 + 2*g1*t^3.46 + g2^2*t^3.83 + g1*g2*t^3.88 + t^4.04/g1 + t^4.08/g2 + t^4.15/g1^4 + t^4.25/(g1^2*g2^2) + (2*g2*t^4.45)/g1 + 3*g1^2*g2^2*t^4.75 + t^5.08/g1^2 + 2*g1*g2*t^5.38 + (2*g2*t^5.49)/g1^2 + (2*t^5.54)/g1 + 3*g1*g2^2*t^5.79 + 3*g1^2*g2*t^5.84 + (g2^2*t^5.91)/g1^2 - 3*t^6. - (g1*t^6.05)/g2 + t^6.12/g1^3 - t^6.21/(g1*g2^2) + 2*g1*g2^3*t^6.21 + t^6.23/g1^6 + 2*g1^2*g2^2*t^6.25 + t^6.32/(g1^4*g2^2) + 2*g2*t^6.42 + 2*g1*t^6.46 + (2*g2*t^6.53)/g1^3 + 6*g2^2*t^6.83 + 3*g1*g2*t^6.88 + 2*g1^2*t^6.92 - t^7.04/g1 - t^7.08/g2 + 4*g1^3*g2^3*t^7.13 + t^7.15/g1^4 + 2*g2^3*t^7.25 + 2*g1*g2^2*t^7.29 + (2*g2*t^7.45)/g1 + (2*g2*t^7.57)/g1^4 + (2*t^7.62)/g1^3 + g2^4*t^7.66 + g1*g2^3*t^7.71 + 3*g1^2*g2^2*t^7.75 + (4*g2^2*t^7.87)/g1 + 3*g2*t^7.92 - g1*t^7.96 + (g2^2*t^7.98)/g1^4 - (2*t^8.08)/g1^2 - t^8.12/(g1*g2) + 4*g1^2*g2^3*t^8.17 + t^8.19/g1^5 + 4*g1^3*g2^2*t^8.22 + (2*g2^3*t^8.28)/g1 + t^8.31/g1^8 + t^8.33/(g1^2*g2^3) - 6*g1*g2*t^8.38 + t^8.4/(g1^6*g2^2) - 2*g1^2*t^8.42 + t^8.49/(g1^4*g2^4) + (2*g2*t^8.49)/g1^2 - (2*t^8.58)/g2 + 3*g1^2*g2^4*t^8.58 + (2*g2*t^8.61)/g1^5 + 3*g1^3*g2^3*t^8.63 + 2*g1*g2^2*t^8.79 + 2*g1^2*g2*t^8.84 + (6*g2^2*t^8.91)/g1^2 + (2*g2*t^8.95)/g1 - t^4.5/y - t^6.58/(g1^2*y) - (g1*g2*t^6.88)/y + t^7.04/(g1*y) + t^7.08/(g2*y) + (2*g2*t^7.45)/(g1*y) + (g1^2*g2^2*t^7.75)/y - (g2*t^7.92)/y - (g1*t^7.96)/y + t^8.08/(g1^2*y) + t^8.12/(g1*g2*y) + (2*g1*g2*t^8.38)/y + (g1^2*t^8.42)/y + (2*g2*t^8.49)/(g1^2*y) + (2*t^8.54)/(g1*y) - t^8.65/(g1^4*y) + (4*g1*g2^2*t^8.79)/y + (4*g1^2*g2*t^8.84)/y + (g2^2*t^8.91)/(g1^2*y) - t^4.5*y - (t^6.58*y)/g1^2 - g1*g2*t^6.88*y + (t^7.04*y)/g1 + (t^7.08*y)/g2 + (2*g2*t^7.45*y)/g1 + g1^2*g2^2*t^7.75*y - g2*t^7.92*y - g1*t^7.96*y + (t^8.08*y)/g1^2 + (t^8.12*y)/(g1*g2) + 2*g1*g2*t^8.38*y + g1^2*t^8.42*y + (2*g2*t^8.49*y)/g1^2 + (2*t^8.54*y)/g1 - (t^8.65*y)/g1^4 + 4*g1*g2^2*t^8.79*y + 4*g1^2*g2*t^8.84*y + (g2^2*t^8.91*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46402 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3q_1q_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ | 0.6297 | 0.7927 | 0.7943 | [X:[], M:[1.0978, 0.8043, 0.7935, 1.1957], q:[0.75, 0.4565], qb:[0.3478, 0.4457], phi:[0.5]] | 2*t^2.38 + t^2.41 + t^3. + 2*t^3.29 + 2*t^3.59 + t^3.88 + t^3.91 + t^4.17 + t^4.21 + t^4.24 + 3*t^4.76 + 2*t^4.79 + t^4.83 + 2*t^5.38 + t^5.41 + 3*t^5.67 + t^5.71 + 3*t^5.97 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 46716 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3q_1q_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6586 | 0.8461 | 0.7784 | [X:[], M:[1.1497, 0.7005, 0.7995, 1.1497, 0.7005], q:[0.75, 0.4505], qb:[0.3997, 0.3997], phi:[0.5]] | 2*t^2.1 + 2*t^2.4 + t^3. + 4*t^3.45 + t^3.9 + 2*t^4.05 + 4*t^4.2 + 4*t^4.5 + 3*t^4.8 + 2*t^5.1 + 2*t^5.4 + 8*t^5.55 + 6*t^5.85 - 3*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45975 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3q_1q_2$ | 0.6514 | 0.8288 | 0.7859 | [X:[], M:[1.1456, 0.7089, 0.8067], q:[0.75, 0.4433], qb:[0.3956, 0.4111], phi:[0.5]] | t^2.13 + 2*t^2.42 + t^2.52 + t^3. + 2*t^3.44 + t^3.48 + t^3.92 + t^3.97 + t^4.02 + t^4.06 + t^4.16 + t^4.25 + 2*t^4.55 + t^4.64 + 3*t^4.84 + 2*t^4.94 + t^5.03 + t^5.13 + 2*t^5.42 + t^5.52 + 2*t^5.56 + t^5.61 + 3*t^5.86 + t^5.9 + t^5.95 - 2*t^6. - t^4.5/y - t^4.5*y | detail |