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 |
|---|---|---|---|---|---|---|---|---|---|
| 55199 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_7q_2\tilde{q}_1$ | 0.7184 | 0.8903 | 0.8069 | [X:[], M:[0.9328, 1.0555, 0.9561, 0.8334, 1.0555, 0.9445, 0.8334], q:[0.4225, 0.6447], qb:[0.5219, 0.5219], phi:[0.4722]] | [X:[], M:[[-4, 8], [2, 2], [0, -12], [-6, -6], [2, 2], [-2, -2], [-6, -6]], q:[[-2, -8], [6, 0]], qb:[[0, 6], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_1M_7$, $ M_4M_6$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_4$, $ M_3M_7$, $ M_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_6^2$, $ M_2M_7$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_3^2$, $ M_1M_2$ | $M_2\phi_1^2$ | -4 | 2*t^2.5 + t^2.8 + 2*t^2.83 + t^2.87 + t^3.17 + t^3.95 + 2*t^4.25 + 3*t^4.55 + t^4.62 + 2*t^4.92 + 3*t^5. + t^5.28 + 2*t^5.3 + 3*t^5.33 + 2*t^5.37 + t^5.6 + 6*t^5.67 + t^5.74 + t^5.96 - 4*t^6. + t^6.04 - 2*t^6.3 - 2*t^6.37 + 2*t^6.45 - t^6.67 + 4*t^6.75 + 2*t^6.79 + t^6.82 + 6*t^7.05 + 3*t^7.08 + 2*t^7.12 + 3*t^7.35 + 4*t^7.38 + 3*t^7.42 + t^7.49 + 4*t^7.5 - t^7.75 + 2*t^7.79 + 3*t^7.8 + 4*t^7.83 + 3*t^7.87 + t^7.9 - 2*t^8.05 + 2*t^8.1 + t^8.15 + 9*t^8.17 + t^8.2 + 2*t^8.24 + t^8.39 - t^8.42 + 3*t^8.46 - 2*t^8.5 + 2*t^8.54 + t^8.57 + t^8.61 + t^8.76 - 5*t^8.8 - 6*t^8.83 - 5*t^8.87 + t^8.9 + 3*t^8.95 - t^4.42/y - (2*t^6.92)/y - t^7.21/y - t^7.29/y + t^7.55/y + t^7.62/y + (2*t^7.92)/y + t^8./y + (2*t^8.3)/y + (4*t^8.33)/y + (2*t^8.37)/y + (2*t^8.63)/y + (4*t^8.67)/y + (2*t^8.7)/y + t^8.96/y - t^4.42*y - 2*t^6.92*y - t^7.21*y - t^7.29*y + t^7.55*y + t^7.62*y + 2*t^7.92*y + t^8.*y + 2*t^8.3*y + 4*t^8.33*y + 2*t^8.37*y + 2*t^8.63*y + 4*t^8.67*y + 2*t^8.7*y + t^8.96*y | (2*t^2.5)/(g1^6*g2^6) + (g2^8*t^2.8)/g1^4 + (2*t^2.83)/(g1^2*g2^2) + t^2.87/g2^12 + g1^2*g2^2*t^3.17 + t^3.95/(g1^5*g2^17) + (2*t^4.25)/(g1^3*g2^3) + (3*g2^11*t^4.55)/g1 + (g1^3*t^4.62)/g2^9 + 2*g1^5*g2^5*t^4.92 + (3*t^5.)/(g1^12*g2^12) + (g1^11*t^5.28)/g2 + (2*g2^2*t^5.3)/g1^10 + (3*t^5.33)/(g1^8*g2^8) + (2*t^5.37)/(g1^6*g2^18) + (g2^16*t^5.6)/g1^8 + (6*t^5.67)/(g1^4*g2^4) + t^5.74/g2^24 + (g2^10*t^5.96)/g1^2 - 4*t^6. + (g1^2*t^6.04)/g2^10 - 2*g1^2*g2^14*t^6.3 - (2*g1^6*t^6.37)/g2^6 + (2*t^6.45)/(g1^11*g2^23) - g1^8*g2^8*t^6.67 + (4*t^6.75)/(g1^9*g2^9) + (2*t^6.79)/(g1^7*g2^19) + t^6.82/(g1^5*g2^29) + (6*g2^5*t^7.05)/g1^7 + (3*t^7.08)/(g1^5*g2^5) + (2*t^7.12)/(g1^3*g2^15) + (3*g2^19*t^7.35)/g1^5 + (4*g2^9*t^7.38)/g1^3 + (3*t^7.42)/(g1*g2) + (g1^3*t^7.49)/g2^21 + (4*t^7.5)/(g1^18*g2^18) - g1^3*g2^3*t^7.75 + (2*g1^5*t^7.79)/g2^7 + (3*t^7.8)/(g1^16*g2^4) + (4*t^7.83)/(g1^14*g2^14) + (3*t^7.87)/(g1^12*g2^24) + t^7.9/(g1^10*g2^34) - 2*g1^5*g2^17*t^8.05 + (2*g2^10*t^8.1)/g1^14 + (g1^11*t^8.15)/g2^13 + (9*t^8.17)/(g1^10*g2^10) + t^8.2/(g1^8*g2^20) + (2*t^8.24)/(g1^6*g2^30) + (g2^24*t^8.39)/g1^12 - g1^11*g2^11*t^8.42 + (3*g2^4*t^8.46)/g1^8 - (2*t^8.5)/(g1^6*g2^6) + (2*t^8.54)/(g1^4*g2^16) + t^8.57/(g1^2*g2^26) + t^8.61/g2^36 + (g2^18*t^8.76)/g1^6 - (5*g2^8*t^8.8)/g1^4 - (6*t^8.83)/(g1^2*g2^2) - (5*t^8.87)/g2^12 + (g1^2*t^8.9)/g2^22 + (3*t^8.95)/(g1^17*g2^29) - t^4.42/(g1*g2*y) - (2*t^6.92)/(g1^7*g2^7*y) - (g2^7*t^7.21)/(g1^5*y) - t^7.29/(g1*g2^13*y) + (g2^11*t^7.55)/(g1*y) + (g1^3*t^7.62)/(g2^9*y) + (2*g1^5*g2^5*t^7.92)/y + t^8./(g1^12*g2^12*y) + (2*g2^2*t^8.3)/(g1^10*y) + (4*t^8.33)/(g1^8*g2^8*y) + (2*t^8.37)/(g1^6*g2^18*y) + (2*g2^6*t^8.63)/(g1^6*y) + (4*t^8.67)/(g1^4*g2^4*y) + (2*t^8.7)/(g1^2*g2^14*y) + (g2^10*t^8.96)/(g1^2*y) - (t^4.42*y)/(g1*g2) - (2*t^6.92*y)/(g1^7*g2^7) - (g2^7*t^7.21*y)/g1^5 - (t^7.29*y)/(g1*g2^13) + (g2^11*t^7.55*y)/g1 + (g1^3*t^7.62*y)/g2^9 + 2*g1^5*g2^5*t^7.92*y + (t^8.*y)/(g1^12*g2^12) + (2*g2^2*t^8.3*y)/g1^10 + (4*t^8.33*y)/(g1^8*g2^8) + (2*t^8.37*y)/(g1^6*g2^18) + (2*g2^6*t^8.63*y)/g1^6 + (4*t^8.67*y)/(g1^4*g2^4) + (2*t^8.7*y)/(g1^2*g2^14) + (g2^10*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 56866 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_7q_2\tilde{q}_1$ + $ M_2M_8$ | 0.7238 | 0.9008 | 0.8035 | [X:[], M:[0.9257, 1.0605, 0.9533, 0.8185, 1.0605, 0.9395, 0.8185, 0.9395], q:[0.4161, 0.6582], qb:[0.5233, 0.5233], phi:[0.4697]] | 2*t^2.46 + t^2.78 + 3*t^2.82 + t^2.86 + t^3.91 + 2*t^4.23 + 3*t^4.55 + t^4.63 + 3*t^4.91 + 2*t^4.95 + 2*t^5.23 + 5*t^5.27 + 2*t^5.32 + t^5.36 + t^5.55 + t^5.6 + 7*t^5.64 + t^5.68 + t^5.72 - 6*t^6. - t^4.41/y - t^4.41*y | detail | |
| 56867 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ + $ M_7q_2\tilde{q}_1$ + $ M_8\phi_1q_1^2$ | 0.7392 | 0.931 | 0.794 | [X:[], M:[0.931, 1.0546, 0.9598, 0.8362, 1.0546, 0.9454, 0.8362, 0.6767], q:[0.4253, 0.6437], qb:[0.5201, 0.5201], phi:[0.4727]] | t^2.03 + 2*t^2.51 + t^2.79 + 2*t^2.84 + t^2.88 + t^3.16 + t^4.06 + 2*t^4.25 + 5*t^4.54 + t^4.63 + t^4.82 + 2*t^4.87 + 3*t^4.91 + 3*t^5.02 + t^5.19 + t^5.28 + 2*t^5.3 + 3*t^5.34 + 2*t^5.39 + t^5.59 + 6*t^5.67 + t^5.76 + t^5.96 - 4*t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46804 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_2M_6$ | 0.7055 | 0.8657 | 0.8149 | [X:[], M:[0.951, 1.0421, 0.9647, 0.8736, 1.0421, 0.9579], q:[0.4402, 0.6088], qb:[0.5177, 0.5177], phi:[0.4789]] | t^2.62 + t^2.85 + 2*t^2.87 + t^2.89 + t^3.13 + t^3.38 + t^4.08 + 2*t^4.31 + 3*t^4.54 + t^4.58 + 2*t^4.82 + t^5.09 + t^5.24 + t^5.47 + t^5.49 + t^5.51 + t^5.71 + 5*t^5.75 + t^5.79 + t^5.98 - 3*t^6. - t^4.44/y - t^4.44*y | detail |