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 |
|---|---|---|---|---|---|---|---|---|---|
| 4387 | 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$ + $ M_6M_8$ + $ M_7q_1\tilde{q}_2$ | 0.7259 | 0.9006 | 0.806 | [X:[], M:[0.7949, 1.1026, 1.0, 0.9616, 0.8333, 1.0384, 0.7564, 0.9616], q:[0.641, 0.5641], qb:[0.3974, 0.6026], phi:[0.4487]] | [X:[], M:[[-4], [2], [0], [9], [-13], [-9], [5], [9]], q:[[-7], [11]], qb:[[-2], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_1$, $ M_5$, $ M_4$, $ M_8$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_7^2$, $ M_1M_7$, $ \phi_1q_2^2$, $ M_1^2$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_7$, $ M_7M_8$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_3M_7$, $ M_1M_8$, $ M_1M_3$, $ M_4M_5$, $ M_5M_8$, $ M_2M_7$, $ M_1M_2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_2M_5$ | . | -2 | t^2.27 + t^2.38 + t^2.5 + 2*t^2.88 + t^3. + t^3.31 + t^3.73 + t^4.23 + t^4.35 + t^4.46 + t^4.54 + t^4.65 + t^4.73 + 2*t^4.77 + t^4.85 + t^4.88 + 2*t^4.96 + t^5. + t^5.08 + 2*t^5.15 + t^5.19 + 2*t^5.27 + 2*t^5.38 + t^5.58 + t^5.69 + 2*t^5.77 + t^5.81 - 2*t^6. - t^6.12 + 2*t^6.19 + t^6.31 + 2*t^6.62 + 2*t^6.73 + t^6.81 + t^6.85 + t^6.92 + t^6.96 + t^7. + 2*t^7.04 + 3*t^7.12 + 2*t^7.15 + 4*t^7.23 + 2*t^7.27 + 3*t^7.35 + t^7.38 + 2*t^7.42 + 3*t^7.46 + t^7.5 + 2*t^7.54 + t^7.58 + 2*t^7.62 + 3*t^7.65 + t^7.69 + 2*t^7.73 + t^7.77 + 3*t^7.85 + t^7.88 + 2*t^7.96 + 2*t^8.04 + 3*t^8.08 + t^8.15 + 2*t^8.19 - 2*t^8.27 + t^8.31 - 5*t^8.38 + 2*t^8.46 - 4*t^8.5 + 2*t^8.58 - t^8.62 + 2*t^8.65 + 3*t^8.69 - t^8.77 + t^8.81 - 5*t^8.88 + t^8.92 + t^8.96 - t^4.35/y - t^6.62/y - t^6.73/y - t^6.85/y - t^7.23/y + t^7.46/y + t^7.65/y + t^7.77/y + t^7.85/y + t^7.88/y + t^7.96/y + t^8.08/y + (2*t^8.15)/y + (3*t^8.27)/y + (3*t^8.38)/y + t^8.5/y + t^8.58/y + t^8.69/y + t^8.77/y + t^8.81/y + t^8.88/y - t^4.35*y - t^6.62*y - t^6.73*y - t^6.85*y - t^7.23*y + t^7.46*y + t^7.65*y + t^7.77*y + t^7.85*y + t^7.88*y + t^7.96*y + t^8.08*y + 2*t^8.15*y + 3*t^8.27*y + 3*t^8.38*y + t^8.5*y + t^8.58*y + t^8.69*y + t^8.77*y + t^8.81*y + t^8.88*y | g1^5*t^2.27 + t^2.38/g1^4 + t^2.5/g1^13 + 2*g1^9*t^2.88 + t^3. + g1^2*t^3.31 + t^3.73/g1^5 + g1^8*t^4.23 + t^4.35/g1 + t^4.46/g1^10 + g1^10*t^4.54 + g1*t^4.65 + g1^21*t^4.73 + (2*t^4.77)/g1^8 + g1^12*t^4.85 + t^4.88/g1^17 + 2*g1^3*t^4.96 + t^5./g1^26 + t^5.08/g1^6 + 2*g1^14*t^5.15 + t^5.19/g1^15 + 2*g1^5*t^5.27 + (2*t^5.38)/g1^4 + g1^7*t^5.58 + t^5.69/g1^2 + 2*g1^18*t^5.77 + t^5.81/g1^11 - 2*t^6. - t^6.12/g1^9 + 2*g1^11*t^6.19 + g1^2*t^6.31 + 2*g1^4*t^6.62 + (2*t^6.73)/g1^5 + g1^15*t^6.81 + t^6.85/g1^14 + g1^6*t^6.92 + t^6.96/g1^23 + g1^26*t^7. + (2*t^7.04)/g1^3 + 3*g1^17*t^7.12 + (2*t^7.15)/g1^12 + 4*g1^8*t^7.23 + (2*t^7.27)/g1^21 + (3*t^7.35)/g1 + t^7.38/g1^30 + 2*g1^19*t^7.42 + (3*t^7.46)/g1^10 + t^7.5/g1^39 + 2*g1^10*t^7.54 + t^7.58/g1^19 + 2*g1^30*t^7.62 + 3*g1*t^7.65 + t^7.69/g1^28 + 2*g1^21*t^7.73 + t^7.77/g1^8 + 3*g1^12*t^7.85 + t^7.88/g1^17 + 2*g1^3*t^7.96 + 2*g1^23*t^8.04 + (3*t^8.08)/g1^6 + g1^14*t^8.15 + (2*t^8.19)/g1^15 - 2*g1^5*t^8.27 + t^8.31/g1^24 - (5*t^8.38)/g1^4 + 2*g1^16*t^8.46 - (4*t^8.5)/g1^13 + 2*g1^7*t^8.58 - t^8.62/g1^22 + 2*g1^27*t^8.65 + (3*t^8.69)/g1^2 - g1^18*t^8.77 + t^8.81/g1^11 - 5*g1^9*t^8.88 + t^8.92/g1^20 + g1^29*t^8.96 - t^4.35/(g1*y) - (g1^4*t^6.62)/y - t^6.73/(g1^5*y) - t^6.85/(g1^14*y) - (g1^8*t^7.23)/y + t^7.46/(g1^10*y) + (g1*t^7.65)/y + t^7.77/(g1^8*y) + (g1^12*t^7.85)/y + t^7.88/(g1^17*y) + (g1^3*t^7.96)/y + t^8.08/(g1^6*y) + (2*g1^14*t^8.15)/y + (3*g1^5*t^8.27)/y + (3*t^8.38)/(g1^4*y) + t^8.5/(g1^13*y) + (g1^7*t^8.58)/y + t^8.69/(g1^2*y) + (g1^18*t^8.77)/y + t^8.81/(g1^11*y) + (g1^9*t^8.88)/y - (t^4.35*y)/g1 - g1^4*t^6.62*y - (t^6.73*y)/g1^5 - (t^6.85*y)/g1^14 - g1^8*t^7.23*y + (t^7.46*y)/g1^10 + g1*t^7.65*y + (t^7.77*y)/g1^8 + g1^12*t^7.85*y + (t^7.88*y)/g1^17 + g1^3*t^7.96*y + (t^8.08*y)/g1^6 + 2*g1^14*t^8.15*y + 3*g1^5*t^8.27*y + (3*t^8.38*y)/g1^4 + (t^8.5*y)/g1^13 + g1^7*t^8.58*y + (t^8.69*y)/g1^2 + g1^18*t^8.77*y + (t^8.81*y)/g1^11 + g1^9*t^8.88*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5860 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_5$ + $ M_7X_1$ | 0.6266 | 0.7847 | 0.7985 | [X:[1.3529], M:[0.8824, 1.0588, 1.0, 0.7647, 1.1176, 1.2353, 0.6471, 0.7647], q:[0.7941, 0.3235], qb:[0.4412, 0.5588], phi:[0.4706]] | 2*t^2.29 + t^2.65 + t^3. + t^3.18 + 2*t^3.35 + t^3.71 + 3*t^4.06 + t^4.41 + 2*t^4.59 + 2*t^4.76 + t^4.94 + t^5.12 + t^5.29 + 3*t^5.47 + 3*t^5.65 + t^5.82 - t^4.41/y - t^4.41*y | detail | {a: 24627/39304, c: 61681/78608, X1: 23/17, M1: 15/17, M2: 18/17, M3: 1, M4: 13/17, M5: 19/17, M6: 21/17, M7: 11/17, M8: 13/17, q1: 27/34, q2: 11/34, qb1: 15/34, qb2: 19/34, phi1: 8/17} |
| 5873 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_9$ | 0.7092 | 0.8714 | 0.8138 | [X:[], M:[0.7978, 1.1011, 1.0, 0.9549, 0.8429, 1.0451, 0.7527, 0.9549, 1.2022], q:[0.6462, 0.556], qb:[0.3989, 0.6011], phi:[0.4495]] | t^2.26 + t^2.53 + 2*t^2.86 + t^3. + t^3.3 + t^3.61 + t^3.74 + t^4.21 + t^4.35 + t^4.48 + t^4.52 + t^4.68 + t^4.79 + t^4.82 + 2*t^4.95 + t^5.06 + t^5.09 + 2*t^5.12 + t^5.23 + t^5.39 + t^5.56 + 2*t^5.73 + t^5.83 + t^5.86 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 5870 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_2$ + $ M_2M_5$ | 0.7204 | 0.8966 | 0.8035 | [X:[], M:[0.8182, 1.0909, 1.0, 0.9091, 0.9091, 1.0909, 0.7273, 0.9091], q:[0.6818, 0.5], qb:[0.4091, 0.5909], phi:[0.4545]] | t^2.18 + t^2.45 + 3*t^2.73 + t^3. + t^3.27 + t^3.82 + t^4.09 + 3*t^4.36 + 3*t^4.64 + 6*t^4.91 + 4*t^5.18 + 7*t^5.45 + t^5.73 + t^6. - t^4.36/y - t^4.36*y | detail | {a: 7671/10648, c: 19093/21296, M1: 9/11, M2: 12/11, M3: 1, M4: 10/11, M5: 10/11, M6: 12/11, M7: 8/11, M8: 10/11, q1: 15/22, q2: 1/2, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
| 5874 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_2$ + $ M_2M_9$ | 0.7353 | 0.9163 | 0.8024 | [X:[], M:[0.7928, 1.1036, 1.0, 0.9663, 0.8264, 1.0337, 0.7591, 0.9663, 0.8964], q:[0.6373, 0.5699], qb:[0.3964, 0.6036], phi:[0.4482]] | t^2.28 + t^2.38 + t^2.48 + t^2.69 + 2*t^2.9 + t^3. + t^3.72 + t^4.24 + t^4.34 + t^4.45 + t^4.55 + t^4.66 + 3*t^4.76 + t^4.86 + t^4.87 + t^4.96 + 3*t^4.97 + 2*t^5.07 + 2*t^5.17 + 2*t^5.18 + 2*t^5.28 + 3*t^5.38 + 2*t^5.59 + t^5.69 + 2*t^5.8 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 5861 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_2$ + $ M_5^2$ | 0.6991 | 0.877 | 0.7972 | [X:[], M:[0.8462, 1.0769, 1.0, 0.8462, 1.0, 1.1538, 0.6923, 0.8462], q:[0.7308, 0.4231], qb:[0.4231, 0.5769], phi:[0.4615]] | t^2.08 + 3*t^2.54 + 2*t^3. + t^3.23 + 3*t^3.92 + t^4.15 + 2*t^4.38 + 3*t^4.62 + 3*t^4.85 + 6*t^5.08 + 2*t^5.31 + 3*t^5.54 + 4*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 1536/2197, c: 30829/35152, M1: 11/13, M2: 14/13, M3: 1, M4: 11/13, M5: 1, M6: 15/13, M7: 9/13, M8: 11/13, q1: 19/26, q2: 11/26, qb1: 11/26, qb2: 15/26, phi1: 6/13} |
| 5872 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_2$ + $ M_7M_9$ | 0.7072 | 0.8667 | 0.816 | [X:[], M:[0.7921, 1.104, 1.0, 0.9679, 0.8242, 1.0321, 0.7599, 0.9679, 1.2401], q:[0.6361, 0.5719], qb:[0.396, 0.604], phi:[0.448]] | t^2.38 + t^2.47 + 2*t^2.9 + t^3. + t^3.31 + 2*t^3.72 + t^4.25 + t^4.34 + t^4.44 + t^4.75 + t^4.78 + t^4.85 + t^4.87 + t^4.95 + 2*t^4.97 + t^5.06 + t^5.16 + t^5.28 + 2*t^5.38 + t^5.69 + t^5.78 + 2*t^5.81 - 3*t^6. - t^4.34/y - t^4.34*y | detail | |
| 5875 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_2$ + $ M_9q_1\tilde{q}_2$ | 0.7448 | 0.935 | 0.7965 | [X:[], M:[0.7975, 1.1013, 1.0, 0.9556, 0.8418, 1.0444, 0.7531, 0.9556, 0.7531], q:[0.6456, 0.5569], qb:[0.3987, 0.6013], phi:[0.4494]] | 2*t^2.26 + t^2.39 + t^2.53 + 2*t^2.87 + t^3. + t^3.3 + t^4.22 + t^4.35 + t^4.48 + 3*t^4.52 + 2*t^4.65 + t^4.69 + 3*t^4.78 + t^4.82 + t^4.92 + 2*t^4.96 + t^5.05 + t^5.09 + 4*t^5.13 + t^5.22 + 3*t^5.26 + 2*t^5.39 + 2*t^5.56 + t^5.7 + 2*t^5.73 + t^5.83 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2370 | 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$ + $ 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 |