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 |
|---|---|---|---|---|---|---|---|---|---|
| 4381 | 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_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2^2$ | 0.6561 | 0.8258 | 0.7945 | [X:[], M:[0.862, 1.0245, 1.089, 0.8129, 1.138, 1.1871, 0.862, 0.7484], q:[0.7561, 0.3819], qb:[0.431, 0.48], phi:[0.4877]] | [X:[], M:[[14], [12], [-38], [-10], [-14], [10], [14], [40]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_4$, $ M_1$, $ M_7$, $ M_2$, $ M_3$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_8^2$, $ M_4M_8$, $ M_1M_8$, $ M_7M_8$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_1M_4$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_8$, $ M_2M_4$, $ M_3M_8$, $ M_1M_2$, $ M_2M_7$, $ M_6M_8$, $ M_8q_1\tilde{q}_2$ | . | -2 | t^2.25 + t^2.44 + 2*t^2.59 + t^3.07 + t^3.27 + t^3.56 + t^3.71 + t^3.9 + 2*t^4.05 + t^4.2 + t^4.34 + t^4.49 + t^4.68 + 2*t^4.83 + t^4.88 + 2*t^5.02 + 3*t^5.17 + t^5.32 + 2*t^5.51 + 2*t^5.66 + t^5.81 + t^5.95 - 2*t^6. + 2*t^6.15 + 3*t^6.29 + t^6.34 + t^6.44 + 2*t^6.49 + t^6.53 + t^6.59 + 4*t^6.63 + t^6.74 + 3*t^6.78 - t^6.83 + 3*t^6.93 + 2*t^7.08 + t^7.12 + 3*t^7.27 + 4*t^7.42 + t^7.56 + 3*t^7.61 + 6*t^7.76 + 3*t^7.9 + t^7.95 + 2*t^8.05 + 3*t^8.1 + t^8.2 + 2*t^8.25 - 2*t^8.29 + 4*t^8.39 - 3*t^8.44 + 4*t^8.54 - 4*t^8.59 + 2*t^8.69 + 2*t^8.73 + t^8.78 + t^8.83 + 5*t^8.88 + t^8.98 - t^4.46/y - t^6.71/y - t^7.05/y + t^7.2/y + t^7.68/y - t^7.73/y + (2*t^7.83)/y + t^7.88/y + (2*t^8.02)/y + t^8.17/y + t^8.22/y + t^8.32/y + (2*t^8.51)/y + (2*t^8.66)/y + t^8.71/y + t^8.81/y + (2*t^8.85)/y - t^4.46*y - t^6.71*y - t^7.05*y + t^7.2*y + t^7.68*y - t^7.73*y + 2*t^7.83*y + t^7.88*y + 2*t^8.02*y + t^8.17*y + t^8.22*y + t^8.32*y + 2*t^8.51*y + 2*t^8.66*y + t^8.71*y + t^8.81*y + 2*t^8.85*y | g1^40*t^2.25 + t^2.44/g1^10 + 2*g1^14*t^2.59 + g1^12*t^3.07 + t^3.27/g1^38 + g1^10*t^3.56 + g1^34*t^3.71 + t^3.9/g1^16 + 2*g1^8*t^4.05 + g1^32*t^4.2 + g1^56*t^4.34 + g1^80*t^4.49 + g1^30*t^4.68 + 2*g1^54*t^4.83 + t^4.88/g1^20 + 2*g1^4*t^5.02 + 3*g1^28*t^5.17 + g1^52*t^5.32 + 2*g1^2*t^5.51 + 2*g1^26*t^5.66 + g1^50*t^5.81 + g1^74*t^5.95 - 2*t^6. + 2*g1^24*t^6.15 + 3*g1^48*t^6.29 + t^6.34/g1^26 + g1^72*t^6.44 + (2*t^6.49)/g1^2 + t^6.53/g1^76 + g1^96*t^6.59 + 4*g1^22*t^6.63 + g1^120*t^6.74 + 3*g1^46*t^6.78 - t^6.83/g1^28 + 3*g1^70*t^6.93 + 2*g1^94*t^7.08 + g1^20*t^7.12 + 3*g1^44*t^7.27 + 4*g1^68*t^7.42 + g1^92*t^7.56 + 3*g1^18*t^7.61 + 6*g1^42*t^7.76 + 3*g1^66*t^7.9 + t^7.95/g1^8 + 2*g1^90*t^8.05 + 3*g1^16*t^8.1 + g1^114*t^8.2 + 2*g1^40*t^8.25 - (2*t^8.29)/g1^34 + 4*g1^64*t^8.39 - (3*t^8.44)/g1^10 + 4*g1^88*t^8.54 - 4*g1^14*t^8.59 + 2*g1^112*t^8.69 + 2*g1^38*t^8.73 + t^8.78/g1^36 + g1^136*t^8.83 + 5*g1^62*t^8.88 + g1^160*t^8.98 - t^4.46/(g1^6*y) - (g1^34*t^6.71)/y - (g1^8*t^7.05)/y + (g1^32*t^7.2)/y + (g1^30*t^7.68)/y - t^7.73/(g1^44*y) + (2*g1^54*t^7.83)/y + t^7.88/(g1^20*y) + (2*g1^4*t^8.02)/y + (g1^28*t^8.17)/y + t^8.22/(g1^46*y) + (g1^52*t^8.32)/y + (2*g1^2*t^8.51)/y + (2*g1^26*t^8.66)/y + t^8.71/(g1^48*y) + (g1^50*t^8.81)/y + (2*t^8.85)/(g1^24*y) - (t^4.46*y)/g1^6 - g1^34*t^6.71*y - g1^8*t^7.05*y + g1^32*t^7.2*y + g1^30*t^7.68*y - (t^7.73*y)/g1^44 + 2*g1^54*t^7.83*y + (t^7.88*y)/g1^20 + 2*g1^4*t^8.02*y + g1^28*t^8.17*y + (t^8.22*y)/g1^46 + g1^52*t^8.32*y + 2*g1^2*t^8.51*y + 2*g1^26*t^8.66*y + (t^8.71*y)/g1^48 + g1^50*t^8.81*y + (2*t^8.85*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5858 | $M_1q_1q_2$ + $ 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_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2^2$ + $ M_1M_9$ | 0.6441 | 0.8042 | 0.801 | [X:[], M:[0.8672, 1.029, 1.0748, 0.8092, 1.1328, 1.1908, 0.8672, 0.7633, 1.1328], q:[0.7572, 0.3756], qb:[0.4336, 0.4916], phi:[0.4855]] | t^2.29 + t^2.43 + t^2.6 + t^3.09 + t^3.22 + t^3.4 + t^3.57 + t^3.75 + t^3.88 + 2*t^4.06 + t^4.23 + t^4.41 + t^4.58 + t^4.72 + t^4.86 + t^4.89 + t^5.03 + t^5.2 + t^5.38 + 2*t^5.51 + 2*t^5.69 + t^5.86 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 5856 | $M_1q_1q_2$ + $ 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_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ | 0.6561 | 0.825 | 0.7952 | [X:[], M:[0.8649, 1.027, 1.0811, 0.8108, 1.1351, 1.1892, 0.8649, 0.7568], q:[0.7568, 0.3784], qb:[0.4324, 0.4865], phi:[0.4865]] | t^2.27 + t^2.43 + 2*t^2.59 + t^3.08 + t^3.24 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + 3*t^4.86 + 2*t^5.03 + 3*t^5.19 + t^5.35 + 2*t^5.51 + 2*t^5.68 + t^5.84 - t^6. - t^4.46/y - t^4.46*y | detail | {a: 132927/202612, c: 41788/50653, M1: 32/37, M2: 38/37, M3: 40/37, M4: 30/37, M5: 42/37, M6: 44/37, M7: 32/37, M8: 28/37, q1: 28/37, q2: 14/37, qb1: 16/37, qb2: 18/37, phi1: 18/37} |
| 5853 | $M_1q_1q_2$ + $ 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_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2^2$ + $ M_8^2$ | 0.6015 | 0.7484 | 0.8037 | [X:[], M:[0.95, 1.1, 0.85, 0.75, 1.05, 1.25, 0.95, 1.0], q:[0.775, 0.275], qb:[0.475, 0.675], phi:[0.45]] | t^2.25 + t^2.55 + 2*t^2.85 + t^3. + t^3.3 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + 3*t^5.1 + t^5.25 + t^5.4 + 2*t^5.55 + 3*t^5.7 + 3*t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 153987/256000, c: 191587/256000, M1: 19/20, M2: 11/10, M3: 17/20, M4: 3/4, M5: 21/20, M6: 5/4, M7: 19/20, M8: 1, q1: 31/40, q2: 11/40, qb1: 19/40, qb2: 27/40, phi1: 9/20} |
| 5855 | $M_1q_1q_2$ + $ 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_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2^2$ + $ M_9\phi_1q_2\tilde{q}_1$ | 0.6767 | 0.8656 | 0.7818 | [X:[], M:[0.8607, 1.0235, 1.0924, 0.8138, 1.1393, 1.1862, 0.8607, 0.7448, 0.6979], q:[0.7559, 0.3834], qb:[0.4303, 0.4773], phi:[0.4883]] | t^2.09 + t^2.23 + t^2.44 + 2*t^2.58 + t^3.07 + t^3.28 + t^3.56 + t^3.7 + 2*t^4.05 + 2*t^4.19 + 2*t^4.33 + t^4.47 + t^4.54 + 3*t^4.68 + 2*t^4.82 + t^4.88 + 2*t^5.02 + 4*t^5.16 + t^5.3 + t^5.37 + 2*t^5.51 + 3*t^5.65 + 2*t^5.79 + t^5.93 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 5854 | $M_1q_1q_2$ + $ 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_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ + $ M_8\phi_1q_2^2$ + $ M_9q_1\tilde{q}_2$ | 0.6749 | 0.8587 | 0.786 | [X:[], M:[0.8684, 1.0301, 1.0714, 0.8083, 1.1316, 1.1917, 0.8684, 0.7669, 0.7481], q:[0.7575, 0.3741], qb:[0.4342, 0.4944], phi:[0.485]] | t^2.24 + t^2.3 + t^2.42 + 2*t^2.61 + t^3.09 + t^3.21 + t^3.58 + t^3.88 + 2*t^4.06 + t^4.24 + t^4.42 + t^4.49 + t^4.55 + t^4.6 + t^4.67 + t^4.73 + 3*t^4.85 + 2*t^4.91 + 2*t^5.03 + 3*t^5.21 + t^5.33 + t^5.39 + t^5.46 + 2*t^5.52 + 2*t^5.7 + t^5.82 + t^5.88 - 2*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2375 | 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_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ | 0.6376 | 0.7908 | 0.8063 | [X:[], M:[0.8717, 1.0329, 1.0624, 0.8059, 1.1283, 1.1941, 0.8717], q:[0.7582, 0.37], qb:[0.4359, 0.5017], phi:[0.4835]] | t^2.42 + 2*t^2.62 + t^3.1 + t^3.19 + t^3.58 + t^3.67 + t^3.78 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.46 + t^4.84 + 2*t^5.03 + 3*t^5.23 + t^5.52 + 2*t^5.71 - 2*t^6. - t^4.45/y - t^4.45*y | detail |