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 |
|---|---|---|---|---|---|---|---|---|---|
| 4355 | 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_2M_7$ | 0.7026 | 0.874 | 0.8039 | [X:[], M:[0.6867, 1.1429, 1.0276, 0.9724, 0.7419, 1.0, 0.8571, 0.9724], q:[0.6704, 0.6429], qb:[0.3571, 0.6153], phi:[0.4286]] | [X:[], M:[[1], [0], [-1], [1], [-1], [0], [0], [1]], q:[[-1], [0]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_7$, $ M_4$, $ M_8$, $ M_6$, $ M_2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_1M_7$, $ M_5M_7$, $ M_1M_4$, $ M_1M_8$, $ \phi_1\tilde{q}_2^2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_7^2$, $ M_5M_8$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_6$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_1M_2$, $ M_4M_7$, $ M_7M_8$, $ M_6M_7$, $ M_2M_5$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_4M_6$, $ M_6M_8$ | . | -2 | t^2.06 + t^2.23 + t^2.57 + 2*t^2.92 + t^3. + t^3.43 + t^3.86 + t^4.12 + t^4.2 + 2*t^4.29 + t^4.37 + t^4.45 + t^4.63 + t^4.8 + 3*t^4.98 + t^5.06 + 4*t^5.14 + t^5.23 + t^5.31 + 3*t^5.49 + t^5.57 + t^5.65 + 2*t^5.83 + t^5.92 - 2*t^6. - t^6.08 - t^6.17 + t^6.18 + t^6.26 + 3*t^6.35 + 3*t^6.43 + t^6.51 + t^6.59 + t^6.68 + t^6.69 + 2*t^6.77 + t^6.86 + t^7.02 + 3*t^7.04 + 2*t^7.12 + 5*t^7.2 + t^7.29 + 3*t^7.37 + t^7.53 + 4*t^7.55 + t^7.63 + 6*t^7.71 + t^7.8 + 2*t^7.88 + 4*t^7.89 + 2*t^7.98 + 3*t^8.06 - 2*t^8.23 + t^8.24 + t^8.32 - t^8.39 + 5*t^8.41 + 2*t^8.49 - t^8.57 + 3*t^8.75 + t^8.82 + 2*t^8.83 + t^8.9 - 5*t^8.92 - t^4.29/y - t^6.35/y - t^6.51/y - t^6.86/y - t^7.2/y + t^7.29/y + t^7.37/y + t^7.63/y + t^7.71/y + t^7.8/y + (2*t^7.98)/y + (2*t^8.06)/y + (2*t^8.14)/y + (2*t^8.23)/y - t^8.41/y + (3*t^8.49)/y + t^8.65/y - t^8.74/y + t^8.83/y + (2*t^8.92)/y - t^4.29*y - t^6.35*y - t^6.51*y - t^6.86*y - t^7.2*y + t^7.29*y + t^7.37*y + t^7.63*y + t^7.71*y + t^7.8*y + 2*t^7.98*y + 2*t^8.06*y + 2*t^8.14*y + 2*t^8.23*y - t^8.41*y + 3*t^8.49*y + t^8.65*y - t^8.74*y + t^8.83*y + 2*t^8.92*y | g1*t^2.06 + t^2.23/g1 + t^2.57 + 2*g1*t^2.92 + t^3. + t^3.43 + t^3.86 + g1^2*t^4.12 + g1*t^4.2 + 2*t^4.29 + t^4.37/g1 + t^4.45/g1^2 + g1*t^4.63 + t^4.8/g1 + 3*g1^2*t^4.98 + g1*t^5.06 + 4*t^5.14 + t^5.23/g1 + t^5.31/g1^2 + 3*g1*t^5.49 + t^5.57 + t^5.65/g1 + 2*g1^2*t^5.83 + g1*t^5.92 - 2*t^6. - t^6.08/g1 - t^6.17/g1^2 + g1^3*t^6.18 + g1^2*t^6.26 + 3*g1*t^6.35 + 3*t^6.43 + t^6.51/g1 + t^6.59/g1^2 + t^6.68/g1^3 + g1^2*t^6.69 + 2*g1*t^6.77 + t^6.86 + t^7.02/g1^2 + 3*g1^3*t^7.04 + 2*g1^2*t^7.12 + 5*g1*t^7.2 + t^7.29 + (3*t^7.37)/g1 + t^7.53/g1^3 + 4*g1^2*t^7.55 + g1*t^7.63 + 6*t^7.71 + t^7.8/g1 + (2*t^7.88)/g1^2 + 4*g1^3*t^7.89 + 2*g1^2*t^7.98 + 3*g1*t^8.06 - (2*t^8.23)/g1 + g1^4*t^8.24 + g1^3*t^8.32 - t^8.39/g1^3 + 5*g1^2*t^8.41 + 2*g1*t^8.49 - t^8.57 + 3*g1^3*t^8.75 + t^8.82/g1^3 + 2*g1^2*t^8.83 + t^8.9/g1^4 - 5*g1*t^8.92 - t^4.29/y - (g1*t^6.35)/y - t^6.51/(g1*y) - t^6.86/y - (g1*t^7.2)/y + t^7.29/y + t^7.37/(g1*y) + (g1*t^7.63)/y + t^7.71/y + t^7.8/(g1*y) + (2*g1^2*t^7.98)/y + (2*g1*t^8.06)/y + (2*t^8.14)/y + (2*t^8.23)/(g1*y) - (g1^2*t^8.41)/y + (3*g1*t^8.49)/y + t^8.65/(g1*y) - t^8.74/(g1^2*y) + (g1^2*t^8.83)/y + (2*g1*t^8.92)/y - t^4.29*y - g1*t^6.35*y - (t^6.51*y)/g1 - t^6.86*y - g1*t^7.2*y + t^7.29*y + (t^7.37*y)/g1 + g1*t^7.63*y + t^7.71*y + (t^7.8*y)/g1 + 2*g1^2*t^7.98*y + 2*g1*t^8.06*y + 2*t^8.14*y + (2*t^8.23*y)/g1 - g1^2*t^8.41*y + 3*g1*t^8.49*y + (t^8.65*y)/g1 - (t^8.74*y)/g1^2 + g1^2*t^8.83*y + 2*g1*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 5809 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_2M_7$ + $ M_1M_9$ | 0.6819 | 0.8337 | 0.8179 | [X:[], M:[0.6905, 1.1429, 1.0238, 0.9762, 0.7381, 1.0, 0.8571, 0.9762, 1.3095], q:[0.6667, 0.6429], qb:[0.3571, 0.619], phi:[0.4286]] | t^2.21 + t^2.57 + 2*t^2.93 + t^3. + t^3.43 + t^3.86 + t^3.93 + t^4.21 + t^4.29 + t^4.36 + t^4.43 + t^4.79 + t^5. + 4*t^5.14 + t^5.21 + t^5.29 + 2*t^5.5 + t^5.57 + t^5.64 + 2*t^5.86 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 7485/10976, c: 9151/10976, M1: 29/42, M2: 8/7, M3: 43/42, M4: 41/42, M5: 31/42, M6: 1, M7: 6/7, M8: 41/42, M9: 55/42, q1: 2/3, q2: 9/14, qb1: 5/14, qb2: 13/21, phi1: 3/7} |
| 5815 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_2M_7$ + $ M_2M_9$ | 0.7152 | 0.8955 | 0.7987 | [X:[], M:[0.6867, 1.1429, 1.0276, 0.9724, 0.7419, 1.0, 0.8571, 0.9724, 0.8571], q:[0.6704, 0.6429], qb:[0.3571, 0.6153], phi:[0.4286]] | t^2.06 + t^2.23 + 2*t^2.57 + 2*t^2.92 + t^3. + t^3.86 + t^4.12 + t^4.2 + 2*t^4.29 + t^4.37 + t^4.45 + 2*t^4.63 + 2*t^4.8 + 3*t^4.98 + t^5.06 + 6*t^5.14 + t^5.23 + t^5.31 + 4*t^5.49 + 2*t^5.57 + 2*t^5.83 + t^5.92 - 3*t^6. - t^4.29/y - t^4.29*y | detail | |
| 5813 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_2M_7$ + $ M_4M_9$ | 0.7013 | 0.871 | 0.8052 | [X:[], M:[0.7143, 1.1429, 1.0, 1.0, 0.7143, 1.0, 0.8571, 1.0, 1.0], q:[0.6429, 0.6429], qb:[0.3571, 0.6429], phi:[0.4286]] | 2*t^2.14 + t^2.57 + 3*t^3. + t^3.43 + t^3.86 + 6*t^4.29 + 2*t^4.71 + 10*t^5.14 + 5*t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 3849/5488, c: 1195/1372, M1: 5/7, M2: 8/7, M3: 1, M4: 1, M5: 5/7, M6: 1, M7: 6/7, M8: 1, M9: 1, q1: 9/14, q2: 9/14, qb1: 5/14, qb2: 9/14, phi1: 3/7} |
| 5807 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_2M_7$ + $ M_4^2$ | 0.7013 | 0.871 | 0.8052 | [X:[], M:[0.7143, 1.1429, 1.0, 1.0, 0.7143, 1.0, 0.8571, 1.0], q:[0.6429, 0.6429], qb:[0.3571, 0.6429], phi:[0.4286]] | 2*t^2.14 + t^2.57 + 3*t^3. + t^3.43 + t^3.86 + 6*t^4.29 + 2*t^4.71 + 10*t^5.14 + 5*t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 3849/5488, c: 1195/1372, M1: 5/7, M2: 8/7, M3: 1, M4: 1, M5: 5/7, M6: 1, M7: 6/7, M8: 1, q1: 9/14, q2: 9/14, qb1: 5/14, qb2: 9/14, phi1: 3/7} |
| 5810 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_2M_7$ + $ M_5M_9$ | 0.6835 | 0.8403 | 0.8134 | [X:[], M:[0.6742, 1.1429, 1.0401, 0.9599, 0.7544, 1.0, 0.8571, 0.9599, 1.2456], q:[0.6829, 0.6429], qb:[0.3571, 0.6028], phi:[0.4286]] | t^2.02 + t^2.57 + 2*t^2.88 + t^3. + t^3.43 + t^3.74 + t^3.86 + t^4.05 + t^4.17 + t^4.29 + t^4.41 + t^4.59 + 3*t^4.9 + t^5.02 + 2*t^5.14 + t^5.38 + 3*t^5.45 + t^5.57 + 3*t^5.76 + t^5.88 - 2*t^6. - t^4.29/y - t^4.29*y | detail | |
| 5812 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_2M_7$ + $ M_7M_9$ | 0.6901 | 0.8525 | 0.8095 | [X:[], M:[0.6867, 1.1429, 1.0276, 0.9724, 0.7419, 1.0, 0.8571, 0.9724, 1.1429], q:[0.6704, 0.6429], qb:[0.3571, 0.6153], phi:[0.4286]] | t^2.06 + t^2.23 + 2*t^2.92 + t^3. + 2*t^3.43 + t^3.86 + t^4.12 + t^4.2 + 2*t^4.29 + t^4.37 + t^4.45 + 3*t^4.98 + t^5.06 + 3*t^5.14 + t^5.23 + t^5.31 + 2*t^5.49 + 2*t^5.65 + 2*t^5.83 + t^5.92 - 3*t^6. - t^4.29/y - t^4.29*y | detail | |
| 5801 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_2M_7$ + $ M_9q_1\tilde{q}_2$ | 0.7229 | 0.9121 | 0.7925 | [X:[], M:[0.6867, 1.1429, 1.0276, 0.9724, 0.7419, 1.0, 0.8571, 0.9724, 0.7143], q:[0.6704, 0.6429], qb:[0.3571, 0.6153], phi:[0.4286]] | t^2.06 + t^2.14 + t^2.23 + t^2.57 + 2*t^2.92 + t^3. + t^3.43 + t^4.12 + 2*t^4.2 + 3*t^4.29 + 2*t^4.37 + t^4.45 + t^4.63 + t^4.71 + t^4.8 + 3*t^4.98 + 3*t^5.06 + 5*t^5.14 + t^5.23 + t^5.31 + 3*t^5.49 + 2*t^5.57 + t^5.65 + 2*t^5.83 - 2*t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2358 | 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ | 0.7345 | 0.915 | 0.8027 | [X:[], M:[0.8326, 1.0699, 1.0276, 0.9724, 0.8878, 1.0, 0.6748, 0.9724], q:[0.5975, 0.5699], qb:[0.4301, 0.5423], phi:[0.465]] | t^2.02 + t^2.5 + t^2.66 + 2*t^2.92 + t^3. + t^3.21 + t^3.42 + t^4.05 + t^4.31 + t^4.4 + t^4.48 + t^4.52 + t^4.65 + t^4.69 + t^4.73 + 2*t^4.81 + t^4.9 + 2*t^4.94 + t^4.98 + t^5. + t^5.02 + t^5.16 + t^5.23 + t^5.33 + 2*t^5.42 + t^5.44 + t^5.58 + t^5.71 + 2*t^5.83 + t^5.87 + t^5.92 - 3*t^6. - t^4.4/y - t^4.4*y | detail |