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 |
|---|---|---|---|---|---|---|---|---|---|
| 46194 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6728 | 0.8725 | 0.7711 | [X:[], M:[1.1331, 0.696, 0.804, 0.6709], q:[0.75, 0.4209], qb:[0.3831, 0.446], phi:[0.5]] | [X:[], M:[[1, 0], [0, 1], [0, -1], [-1, -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 |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_3$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_4q_2\tilde{q}_1$, $ M_2M_3$, $ M_2q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4q_1q_2$, $ M_2q_1q_2$, $ M_1M_3$, $ M_3q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1^2$, $ M_2\phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_3q_1q_2$, $ q_1q_2^2\tilde{q}_1$ | . | -2 | t^2.01 + t^2.09 + 2*t^2.41 + t^2.49 + t^3. + 2*t^3.4 + t^3.51 + t^3.8 + 2*t^4.03 + 2*t^4.1 + 2*t^4.18 + 2*t^4.42 + 3*t^4.5 + t^4.58 + 3*t^4.82 + 2*t^4.9 + t^4.97 + t^5.01 + t^5.09 + 4*t^5.41 + 3*t^5.49 + t^5.53 + t^5.6 + 4*t^5.81 + 2*t^5.89 + t^5.92 - 2*t^6. + 2*t^6.04 - t^6.08 + 2*t^6.11 + 2*t^6.19 + 2*t^6.21 + 2*t^6.26 + t^6.29 + 4*t^6.44 + 5*t^6.51 + 4*t^6.59 + 2*t^6.66 + 3*t^6.8 + 3*t^6.84 + 5*t^6.91 + t^6.99 + 2*t^7.03 + t^7.06 + t^7.18 + 2*t^7.2 + 4*t^7.24 + 2*t^7.31 + 4*t^7.42 + t^7.46 + 3*t^7.5 + 2*t^7.54 + 3*t^7.58 + t^7.6 + 7*t^7.82 + 6*t^7.9 + t^7.94 + 3*t^7.97 - 3*t^8.01 + 3*t^8.05 - 5*t^8.09 + 3*t^8.13 - t^8.16 + 3*t^8.2 + 6*t^8.22 + 3*t^8.28 + 4*t^8.3 + t^8.34 + 3*t^8.35 + 2*t^8.37 - 5*t^8.41 + 4*t^8.45 - 4*t^8.49 + 5*t^8.53 - t^8.56 + 3*t^8.6 + 3*t^8.62 + 4*t^8.68 + 2*t^8.7 + 2*t^8.75 + t^8.77 + 2*t^8.81 + 6*t^8.85 + 2*t^8.89 + 7*t^8.92 - t^4.5/y - t^6.51/y - t^6.59/y - t^6.91/y + (2*t^7.1)/y + (2*t^7.42)/y + (3*t^7.5)/y + t^7.58/y + t^7.82/y + t^7.9/y + t^8.01/y + (2*t^8.09)/y + (5*t^8.41)/y + (4*t^8.49)/y - t^8.68/y + (5*t^8.81)/y + (3*t^8.89)/y + t^8.92/y - t^4.5*y - t^6.51*y - t^6.59*y - t^6.91*y + 2*t^7.1*y + 2*t^7.42*y + 3*t^7.5*y + t^7.58*y + t^7.82*y + t^7.9*y + t^8.01*y + 2*t^8.09*y + 5*t^8.41*y + 4*t^8.49*y - t^8.68*y + 5*t^8.81*y + 3*t^8.89*y + t^8.92*y | t^2.01/(g1*g2) + g2*t^2.09 + (2*t^2.41)/g2 + g1*g2*t^2.49 + t^3. + 2*g1*t^3.4 + t^3.51/(g1*g2) + g1^2*t^3.8 + (2*t^4.03)/(g1^2*g2^2) + (2*t^4.1)/g1 + 2*g2^2*t^4.18 + (2*t^4.42)/(g1*g2^2) + 3*t^4.5 + g1*g2^2*t^4.58 + (3*t^4.82)/g2^2 + 2*g1*t^4.9 + g1^2*g2^2*t^4.97 + t^5.01/(g1*g2) + g2*t^5.09 + (4*t^5.41)/g2 + 3*g1*g2*t^5.49 + t^5.53/(g1^2*g2^2) + t^5.6/g1 + (4*g1*t^5.81)/g2 + 2*g1^2*g2*t^5.89 + t^5.92/(g1*g2^2) - 2*t^6. + (2*t^6.04)/(g1^3*g2^3) - g1*g2^2*t^6.08 + (2*t^6.11)/(g1^2*g2) + (2*g2*t^6.19)/g1 + (2*g1^2*t^6.21)/g2 + 2*g2^3*t^6.26 + g1^3*g2*t^6.29 + (4*t^6.44)/(g1^2*g2^3) + (5*t^6.51)/(g1*g2) + 4*g2*t^6.59 + 2*g1*g2^3*t^6.66 + 3*g1^2*t^6.8 + (3*t^6.84)/(g1*g2^3) + (5*t^6.91)/g2 + g1*g2*t^6.99 + (2*t^7.03)/(g1^2*g2^2) + g1^2*g2^3*t^7.06 + g2^2*t^7.18 + 2*g1^3*t^7.2 + (4*t^7.24)/g2^3 + (2*g1*t^7.31)/g2 + (4*t^7.42)/(g1*g2^2) + g1^3*g2^3*t^7.46 + 3*t^7.5 + (2*t^7.54)/(g1^3*g2^3) + 3*g1*g2^2*t^7.58 + g1^4*t^7.6 + (7*t^7.82)/g2^2 + 6*g1*t^7.9 + t^7.94/(g1^2*g2^3) + 3*g1^2*g2^2*t^7.97 - (3*t^8.01)/(g1*g2) + (3*t^8.05)/(g1^4*g2^4) - 5*g2*t^8.09 + (3*t^8.13)/(g1^3*g2^2) - g1*g2^3*t^8.16 + (3*t^8.2)/g1^2 + (6*g1*t^8.22)/g2^2 + (3*g2^2*t^8.28)/g1 + 4*g1^2*t^8.3 + t^8.34/(g1*g2^3) + 3*g2^4*t^8.35 + 2*g1^3*g2^2*t^8.37 - (5*t^8.41)/g2 + (4*t^8.45)/(g1^3*g2^4) - 4*g1*g2*t^8.49 + (5*t^8.53)/(g1^2*g2^2) - g1^2*g2^3*t^8.56 + (3*t^8.6)/g1 + (3*g1^2*t^8.62)/g2^2 + 4*g2^2*t^8.68 + 2*g1^3*t^8.7 + 2*g1*g2^4*t^8.75 + g1^4*g2^2*t^8.77 + (2*g1*t^8.81)/g2 + (6*t^8.85)/(g1^2*g2^4) + 2*g1^2*g2*t^8.89 + (7*t^8.92)/(g1*g2^2) - t^4.5/y - t^6.51/(g1*g2*y) - (g2*t^6.59)/y - t^6.91/(g2*y) + (2*t^7.1)/(g1*y) + (2*t^7.42)/(g1*g2^2*y) + (3*t^7.5)/y + (g1*g2^2*t^7.58)/y + t^7.82/(g2^2*y) + (g1*t^7.9)/y + t^8.01/(g1*g2*y) + (2*g2*t^8.09)/y + (5*t^8.41)/(g2*y) + (4*g1*g2*t^8.49)/y - (g2^2*t^8.68)/y + (5*g1*t^8.81)/(g2*y) + (3*g1^2*g2*t^8.89)/y + t^8.92/(g1*g2^2*y) - t^4.5*y - (t^6.51*y)/(g1*g2) - g2*t^6.59*y - (t^6.91*y)/g2 + (2*t^7.1*y)/g1 + (2*t^7.42*y)/(g1*g2^2) + 3*t^7.5*y + g1*g2^2*t^7.58*y + (t^7.82*y)/g2^2 + g1*t^7.9*y + (t^8.01*y)/(g1*g2) + 2*g2*t^8.09*y + (5*t^8.41*y)/g2 + 4*g1*g2*t^8.49*y - g2^2*t^8.68*y + (5*g1*t^8.81*y)/g2 + 3*g1^2*g2*t^8.89*y + (t^8.92*y)/(g1*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 46703 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.688 | 0.8991 | 0.7652 | [X:[], M:[1.1225, 0.6887, 0.8113, 0.6887, 0.8113], q:[0.75, 0.4387], qb:[0.3725, 0.4387], phi:[0.5]] | 2*t^2.07 + 4*t^2.43 + t^3. + 2*t^3.37 + t^3.74 + 6*t^4.13 + 8*t^4.5 + 10*t^4.87 + 2*t^5.07 + 8*t^5.43 + 8*t^5.8 - 5*t^6. - t^4.5/y - t^4.5*y | detail | |
| 46425 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1q_2^2\tilde{q}_1$ | 0.6724 | 0.8714 | 0.7716 | [X:[], M:[1.1326, 0.6837, 0.8163, 0.6837], q:[0.75, 0.4337], qb:[0.3826, 0.4337], phi:[0.5]] | 2*t^2.05 + 3*t^2.45 + t^3. + 2*t^3.4 + t^3.55 + t^3.8 + 6*t^4.1 + 6*t^4.5 + 6*t^4.9 + 2*t^5.05 + 7*t^5.45 + 2*t^5.6 + 6*t^5.85 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46052 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ | 0.652 | 0.8312 | 0.7844 | [X:[], M:[1.1326, 0.6957, 0.8043], q:[0.75, 0.4217], qb:[0.3826, 0.4457], phi:[0.5]] | t^2.09 + 2*t^2.41 + t^2.48 + t^3. + 2*t^3.4 + t^3.52 + t^3.8 + t^3.98 + t^4.03 + t^4.1 + 2*t^4.17 + 2*t^4.5 + t^4.57 + 3*t^4.83 + 2*t^4.9 + t^4.97 + t^5.09 + 2*t^5.41 + 3*t^5.48 + t^5.6 + 3*t^5.81 + 2*t^5.88 + t^5.93 - 2*t^6. - t^4.5/y - t^4.5*y | detail |