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 |
|---|---|---|---|---|---|---|---|---|---|
| 4612 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_5M_7$ + $ M_8\phi_1q_2\tilde{q}_2$ | 0.6786 | 0.8493 | 0.799 | [X:[1.423], M:[1.0, 0.692, 0.577, 1.115, 0.885, 0.885, 1.115, 0.692], q:[0.654, 0.346], qb:[0.769, 0.5389], phi:[0.423]] | [X:[[1]], M:[[0], [4], [-1], [5], [-5], [-5], [5], [4]], q:[[-2], [2]], qb:[[3], [-7]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_8$, $ \phi_1^2$, $ M_6$, $ M_1$, $ M_4$, $ M_7$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_8$, $ M_8^2$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_8\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_6M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_1M_8$, $ \phi_1^4$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_7$, $ M_4M_8$, $ M_7M_8$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_6$, $ M_8q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1^2$ | $M_6M_7$ | -2 | 2*t^2.08 + t^2.54 + t^2.65 + t^3. + 2*t^3.35 + t^3.58 + 3*t^4.15 + 2*t^4.27 + t^4.5 + 3*t^4.61 + t^4.73 + t^4.85 + 2*t^5.08 + 3*t^5.19 + 3*t^5.42 + 2*t^5.54 + t^5.65 + 3*t^5.88 - 2*t^6. + t^6.12 + 5*t^6.23 + 3*t^6.35 + t^6.58 + 6*t^6.69 + 2*t^6.81 + t^6.92 + t^7.04 + 4*t^7.15 + 2*t^7.16 + 3*t^7.27 + 5*t^7.5 + 6*t^7.61 + 2*t^7.73 + 3*t^7.85 + 5*t^7.96 - 4*t^8.08 + 2*t^8.19 + 5*t^8.3 - t^8.31 + 5*t^8.42 + t^8.43 + 2*t^8.54 - 4*t^8.65 + 11*t^8.77 + 5*t^8.88 - t^4.27/y - (2*t^6.35)/y - t^6.81/y + t^7.15/y + (2*t^7.61)/y + (3*t^7.73)/y + (2*t^8.08)/y + (3*t^8.19)/y + t^8.42/y + t^8.54/y + (3*t^8.65)/y - t^4.27*y - 2*t^6.35*y - t^6.81*y + t^7.15*y + 2*t^7.61*y + 3*t^7.73*y + 2*t^8.08*y + 3*t^8.19*y + t^8.42*y + t^8.54*y + 3*t^8.65*y | 2*g1^4*t^2.08 + g1^2*t^2.54 + t^2.65/g1^5 + t^3. + 2*g1^5*t^3.35 + t^3.58/g1^9 + 3*g1^8*t^4.15 + 2*g1*t^4.27 + t^4.5/g1^13 + 3*g1^6*t^4.61 + t^4.73/g1 + t^4.85/g1^8 + 2*g1^4*t^5.08 + (3*t^5.19)/g1^3 + 3*g1^9*t^5.42 + 2*g1^2*t^5.54 + t^5.65/g1^5 + 3*g1^7*t^5.88 - 2*t^6. + t^6.12/g1^7 + t^6.23/g1^14 + 4*g1^12*t^6.23 + 3*g1^5*t^6.35 + t^6.58/g1^9 + 6*g1^10*t^6.69 + 2*g1^3*t^6.81 + t^6.92/g1^4 + t^7.04/g1^11 + 4*g1^8*t^7.15 + (2*t^7.16)/g1^18 + 3*g1*t^7.27 + t^7.5/g1^13 + 4*g1^13*t^7.5 + 6*g1^6*t^7.61 + (2*t^7.73)/g1 + (3*t^7.85)/g1^8 - t^7.96/g1^15 + 6*g1^11*t^7.96 + t^8.08/g1^22 - 5*g1^4*t^8.08 + (2*t^8.19)/g1^3 + 5*g1^16*t^8.3 - t^8.31/g1^10 + 5*g1^9*t^8.42 + t^8.43/g1^17 + 2*g1^2*t^8.54 - (4*t^8.65)/g1^5 + (3*t^8.77)/g1^12 + 8*g1^14*t^8.77 + 5*g1^7*t^8.88 - (g1*t^4.27)/y - (2*g1^5*t^6.35)/y - (g1^3*t^6.81)/y + (g1^8*t^7.15)/y + (2*g1^6*t^7.61)/y + (3*t^7.73)/(g1*y) + (2*g1^4*t^8.08)/y + (3*t^8.19)/(g1^3*y) + (g1^9*t^8.42)/y + (g1^2*t^8.54)/y + (3*t^8.65)/(g1^5*y) - g1*t^4.27*y - 2*g1^5*t^6.35*y - g1^3*t^6.81*y + g1^8*t^7.15*y + 2*g1^6*t^7.61*y + (3*t^7.73*y)/g1 + 2*g1^4*t^8.08*y + (3*t^8.19*y)/g1^3 + g1^9*t^8.42*y + g1^2*t^8.54*y + (3*t^8.65*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6150 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_5M_7$ + $ M_8\phi_1q_2\tilde{q}_2$ + $ M_7M_9$ | 0.6896 | 0.8679 | 0.7946 | [X:[1.4264], M:[1.0, 0.7055, 0.5736, 1.1318, 0.8682, 0.8682, 1.1318, 0.7055, 0.8682], q:[0.6473, 0.3527], qb:[0.7791, 0.5154], phi:[0.4264]] | 2*t^2.12 + t^2.56 + 2*t^2.6 + t^3. + t^3.4 + t^3.49 + 3*t^4.23 + 2*t^4.28 + t^4.37 + 3*t^4.67 + 3*t^4.72 + t^4.77 + 2*t^5.12 + 4*t^5.16 + 2*t^5.21 + t^5.51 + 2*t^5.56 + 2*t^5.6 + 2*t^5.95 - 2*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2548 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_5M_7$ | 0.6579 | 0.8094 | 0.8129 | [X:[1.4235], M:[1.0, 0.6941, 0.5765, 1.1176, 0.8824, 0.8824, 1.1176], q:[0.653, 0.347], qb:[0.7705, 0.5354], phi:[0.4235]] | t^2.08 + t^2.54 + t^2.65 + t^3. + 2*t^3.35 + t^3.57 + t^3.92 + t^4.16 + 2*t^4.27 + t^4.48 + 2*t^4.62 + t^4.84 + t^5.08 + 3*t^5.19 + t^5.43 + 2*t^5.54 + 3*t^5.89 - t^6. - t^4.27/y - t^4.27*y | detail |