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 |
|---|---|---|---|---|---|---|---|---|---|
| 1319 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7342 | 0.9146 | 0.8027 | [X:[], M:[0.8619, 1.069, 1.0, 1.0246, 0.8374, 0.9754, 0.6726], q:[0.5445, 0.5936], qb:[0.431, 0.569], phi:[0.4655]] | [X:[], M:[[0, -4], [0, 2], [0, 0], [1, -2], [-1, -2], [-1, 2], [0, 5]], q:[[-1, 4], [1, 0]], qb:[[0, -2], [0, 2]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_5$, $ M_1$, $ M_6$, $ M_3$, $ M_4$, $ M_2$, $ q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_7$, $ M_1M_7$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6M_7$, $ \phi_1q_2^2$, $ M_5^2$, $ M_3M_7$, $ M_4M_7$, $ M_1M_5$, $ M_1^2$, $ M_2M_7$, $ M_7q_1\tilde{q}_2$, $ M_5M_6$, $ M_3M_5$, $ M_1M_6$, $ M_1M_3$, $ M_4M_5$, $ M_2M_5$, $ M_1M_2$, $ M_6^2$, $ M_5q_1\tilde{q}_2$ | . | -2 | t^2.02 + t^2.51 + t^2.59 + t^2.93 + t^3. + t^3.07 + t^3.21 + t^3.34 + t^4.04 + t^4.32 + t^4.4 + t^4.47 + t^4.53 + t^4.6 + t^4.66 + t^4.74 + 2*t^4.81 + t^4.88 + t^4.94 + t^4.96 + 2*t^5.02 + t^5.09 + t^5.1 + t^5.17 + t^5.22 + t^5.36 + t^5.44 + t^5.51 + t^5.59 + t^5.72 + t^5.79 + t^5.85 - 2*t^6. + t^6.05 - t^6.07 + t^6.13 + t^6.21 + t^6.27 + t^6.28 + t^6.34 + t^6.41 + 2*t^6.55 + t^6.62 + 2*t^6.68 + t^6.75 + 3*t^6.83 + t^6.9 + t^6.91 + t^6.96 + 2*t^6.98 + 2*t^7.04 + t^7.11 + t^7.12 + t^7.18 + t^7.24 + 2*t^7.25 + 2*t^7.32 + t^7.38 + 2*t^7.4 + t^7.46 + t^7.47 + t^7.53 + 2*t^7.54 + t^7.59 + t^7.6 + t^7.61 + 2*t^7.66 + t^7.68 + 3*t^7.74 + t^7.76 + 2*t^7.81 + t^7.87 + t^7.88 + t^7.95 + t^7.96 + t^8. - t^8.02 + t^8.03 + t^8.07 + t^8.08 - t^8.09 + t^8.1 + 2*t^8.15 + t^8.22 + t^8.23 + t^8.28 + 2*t^8.3 + 2*t^8.36 + t^8.38 + t^8.43 - 3*t^8.51 + 2*t^8.57 - 4*t^8.59 + t^8.64 + t^8.65 - 2*t^8.66 + 2*t^8.7 + t^8.72 + t^8.77 + t^8.78 + t^8.79 + 2*t^8.85 + t^8.92 - 3*t^8.93 + t^8.98 + 2*t^8.99 - t^4.4/y - t^6.41/y - t^6.91/y - t^6.98/y + t^7.53/y + t^7.6/y + t^7.81/y + t^7.88/y + t^7.94/y + t^8.02/y + t^8.09/y + t^8.1/y + t^8.22/y + t^8.36/y + t^8.38/y - t^8.43/y + t^8.44/y + (2*t^8.51)/y + (2*t^8.59)/y + t^8.66/y + t^8.72/y + t^8.79/y + t^8.85/y + t^8.93/y - t^4.4*y - t^6.41*y - t^6.91*y - t^6.98*y + t^7.53*y + t^7.6*y + t^7.81*y + t^7.88*y + t^7.94*y + t^8.02*y + t^8.09*y + t^8.1*y + t^8.22*y + t^8.36*y + t^8.38*y - t^8.43*y + t^8.44*y + 2*t^8.51*y + 2*t^8.59*y + t^8.66*y + t^8.72*y + t^8.79*y + t^8.85*y + t^8.93*y | g2^5*t^2.02 + t^2.51/(g1*g2^2) + t^2.59/g2^4 + (g2^2*t^2.93)/g1 + t^3. + (g1*t^3.07)/g2^2 + g2^2*t^3.21 + (g2^6*t^3.34)/g1 + g2^10*t^4.04 + (g2*t^4.32)/g1 + t^4.4/g2 + (g1*t^4.47)/g2^3 + (g2^3*t^4.53)/g1 + g2*t^4.6 + (g2^7*t^4.66)/g1^2 + (g2^5*t^4.74)/g1 + 2*g2^3*t^4.81 + g1*g2*t^4.88 + (g2^7*t^4.94)/g1 + (g1^2*t^4.96)/g2 + t^5.02/(g1^2*g2^4) + g2^5*t^5.02 + g1*g2^3*t^5.09 + t^5.1/(g1*g2^6) + t^5.17/g2^8 + g2^7*t^5.22 + (g2^11*t^5.36)/g1 + t^5.44/g1^2 + t^5.51/(g1*g2^2) + t^5.59/g2^4 + t^5.72/g1 + t^5.79/g2^2 + (g2^4*t^5.85)/g1^2 - 2*t^6. + g2^15*t^6.05 - (g1*t^6.07)/g2^2 + (g2^4*t^6.13)/g1 + g2^2*t^6.21 + (g2^8*t^6.27)/g1^2 + g1*t^6.28 + (g2^6*t^6.34)/g1 + g2^4*t^6.41 + (2*g2^8*t^6.55)/g1 + g2^6*t^6.62 + (2*g2^12*t^6.68)/g1^2 + (g2^10*t^6.75)/g1 + t^6.83/(g1^2*g2) + 2*g2^8*t^6.83 + g1*g2^6*t^6.9 + t^6.91/(g1*g2^3) + (g2^12*t^6.96)/g1 + t^6.98/g2^5 + g1^2*g2^4*t^6.98 + (g2*t^7.04)/g1^2 + g2^10*t^7.04 + g1*g2^8*t^7.11 + t^7.12/(g1*g2) + (g2^5*t^7.18)/g1^3 + g2^12*t^7.24 + (2*g2^3*t^7.25)/g1^2 + (2*g2*t^7.32)/g1 + (g2^16*t^7.38)/g1 + (2*t^7.4)/g2 + (g2^5*t^7.46)/g1^2 + (g1*t^7.47)/g2^3 + (g2^3*t^7.53)/g1 + t^7.54/(g1^3*g2^6) + (g1^2*t^7.54)/g2^5 + (g2^9*t^7.59)/g1^3 + g2*t^7.6 + t^7.61/(g1^2*g2^8) + (2*g2^7*t^7.66)/g1^2 + t^7.68/(g1*g2^10) + (3*g2^5*t^7.74)/g1 + t^7.76/g2^12 + 2*g2^3*t^7.81 + (g2^9*t^7.87)/g1^2 + g1*g2*t^7.88 + t^7.95/(g1^3*g2^2) + (g1^2*t^7.96)/g2 + (g2^13*t^8.)/g1^3 + t^8.02/(g1^2*g2^4) - 2*g2^5*t^8.02 + (g1^3*t^8.03)/g2^3 + g2^20*t^8.07 + (g2^11*t^8.08)/g1^2 - g1*g2^3*t^8.09 + t^8.1/(g1*g2^6) + (2*g2^9*t^8.15)/g1 + g2^7*t^8.22 + t^8.23/(g1^2*g2^2) + (g2^13*t^8.28)/g1^2 + t^8.3/(g1*g2^4) + g1*g2^5*t^8.3 + (g2^2*t^8.36)/g1^3 + (g2^11*t^8.36)/g1 + t^8.38/g2^6 + g2^9*t^8.43 - (3*t^8.51)/(g1*g2^2) + (2*g2^13*t^8.57)/g1 - (4*t^8.59)/g2^4 + g2^11*t^8.64 + (g2^2*t^8.65)/g1^2 - (2*g1*t^8.66)/g2^6 + (2*g2^17*t^8.7)/g1^2 + t^8.72/g1 + (g2^15*t^8.77)/g1 + (g2^6*t^8.78)/g1^3 + t^8.79/g2^2 + 2*g2^13*t^8.85 + g1*g2^11*t^8.92 - (3*g2^2*t^8.93)/g1 + (g2^17*t^8.98)/g1 + (g2^8*t^8.99)/g1^3 + g1^2*g2^9*t^8.99 - t^4.4/(g2*y) - (g2^4*t^6.41)/y - t^6.91/(g1*g2^3*y) - t^6.98/(g2^5*y) + (g2^3*t^7.53)/(g1*y) + (g2*t^7.6)/y + (g2^3*t^7.81)/y + (g1*g2*t^7.88)/y + (g2^7*t^7.94)/(g1*y) + (g2^5*t^8.02)/y + (g1*g2^3*t^8.09)/y + t^8.1/(g1*g2^6*y) + (g2^7*t^8.22)/y + (g2^11*t^8.36)/(g1*y) + t^8.38/(g2^6*y) - (g2^9*t^8.43)/y + t^8.44/(g1^2*y) + (2*t^8.51)/(g1*g2^2*y) + (2*t^8.59)/(g2^4*y) + (g1*t^8.66)/(g2^6*y) + t^8.72/(g1*y) + t^8.79/(g2^2*y) + (g2^4*t^8.85)/(g1^2*y) + (g2^2*t^8.93)/(g1*y) - (t^4.4*y)/g2 - g2^4*t^6.41*y - (t^6.91*y)/(g1*g2^3) - (t^6.98*y)/g2^5 + (g2^3*t^7.53*y)/g1 + g2*t^7.6*y + g2^3*t^7.81*y + g1*g2*t^7.88*y + (g2^7*t^7.94*y)/g1 + g2^5*t^8.02*y + g1*g2^3*t^8.09*y + (t^8.1*y)/(g1*g2^6) + g2^7*t^8.22*y + (g2^11*t^8.36*y)/g1 + (t^8.38*y)/g2^6 - g2^9*t^8.43*y + (t^8.44*y)/g1^2 + (2*t^8.51*y)/(g1*g2^2) + (2*t^8.59*y)/g2^4 + (g1*t^8.66*y)/g2^6 + (t^8.72*y)/g1 + (t^8.79*y)/g2^2 + (g2^4*t^8.85*y)/g1^2 + (g2^2*t^8.93*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2370 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ | 0.7333 | 0.912 | 0.804 | [X:[], M:[0.8598, 1.0701, 1.0, 0.9947, 0.8651, 1.0053, 0.6753, 0.9947], q:[0.5754, 0.5648], qb:[0.4299, 0.5701], phi:[0.4649]] | t^2.03 + t^2.58 + t^2.6 + 2*t^2.98 + t^3. + t^3.21 + t^3.44 + t^4.05 + t^4.38 + t^4.39 + t^4.41 + t^4.61 + t^4.62 + t^4.78 + t^4.8 + 2*t^4.82 + t^4.83 + t^4.85 + 2*t^5.01 + t^5.03 + t^5.16 + t^5.17 + t^5.19 + t^5.24 + t^5.46 + t^5.56 + 2*t^5.58 + t^5.79 + t^5.81 + 2*t^5.97 - 3*t^6. - t^4.39/y - t^4.39*y | detail | |
| 2371 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ | 0.5865 | 0.7334 | 0.7996 | [X:[1.5811], M:[0.6757, 1.1622, 1.0, 1.2568, 0.4189, 0.7432, 0.9054], q:[0.4054, 0.9189], qb:[0.3378, 0.6622], phi:[0.4189]] | t^2.03 + t^2.23 + t^2.72 + t^3. + t^3.2 + 2*t^3.49 + t^3.69 + t^3.77 + t^4.05 + t^4.26 + t^4.46 + 2*t^4.74 + t^4.95 + t^5.03 + 2*t^5.23 + 2*t^5.43 + t^5.51 + 3*t^5.72 + 2*t^5.92 - t^6. - t^4.26/y - t^4.26*y | detail | |
| 2372 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5X_1$ | 0.6699 | 0.8329 | 0.8044 | [X:[1.3728], M:[0.8036, 1.0982, 1.0, 1.1763, 0.6272, 0.8237, 0.7455], q:[0.4219, 0.7746], qb:[0.4018, 0.5982], phi:[0.4509]] | t^2.24 + t^2.41 + t^2.47 + t^3. + t^3.06 + t^3.29 + t^3.53 + t^3.82 + t^3.88 + t^4.12 + t^4.35 + t^4.41 + t^4.47 + t^4.65 + t^4.71 + t^4.82 + t^4.88 + 2*t^4.94 + t^5.24 + t^5.3 + t^5.47 + 2*t^5.53 + t^5.71 + 2*t^5.77 - t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 833 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ | 0.7134 | 0.8733 | 0.8168 | [X:[], M:[0.86, 1.07, 1.0, 1.0244, 0.8356, 0.9756], q:[0.5455, 0.5944], qb:[0.43, 0.57], phi:[0.465]] | t^2.51 + t^2.58 + t^2.93 + t^3. + t^3.07 + t^3.21 + t^3.35 + t^3.98 + t^4.32 + t^4.4 + t^4.47 + t^4.67 + t^4.74 + 2*t^4.81 + t^4.89 + t^4.96 + t^5.01 + t^5.09 + t^5.16 + t^5.43 + t^5.51 + t^5.58 + t^5.72 + t^5.79 + t^5.85 - 2*t^6. - t^4.4/y - t^4.4*y | detail |