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 |
|---|---|---|---|---|---|---|---|---|---|
| 2369 | 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_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ | 0.6675 | 0.845 | 0.79 | [X:[], M:[0.7452, 1.0311, 1.1926, 1.1304, 0.8074, 0.8696, 0.8074], q:[0.497, 0.7578], qb:[0.3726, 0.4348], phi:[0.4845]] | [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [-10]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_7$, $ M_6$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_5$, $ M_1M_7$, $ M_5^2$, $ M_1M_6$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_6$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_1M_2$, $ M_6q_1\tilde{q}_2$, $ M_2M_5$, $ M_2M_7$, $ q_1^2\tilde{q}_2^2$, $ M_2M_6$, $ M_2q_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1^2$ | . | -2 | t^2.24 + 2*t^2.42 + t^2.61 + t^2.8 + t^3.09 + t^3.39 + t^3.69 + t^3.88 + 2*t^4.06 + t^4.25 + t^4.44 + t^4.47 + 2*t^4.66 + 4*t^4.84 + 3*t^5.03 + 3*t^5.22 + t^5.33 + t^5.4 + 2*t^5.52 + t^5.59 + t^5.7 + t^5.89 + t^5.92 - 2*t^6. + 3*t^6.11 - t^6.19 + 4*t^6.3 - t^6.37 + 6*t^6.48 + 4*t^6.67 + t^6.71 + 4*t^6.86 + 2*t^6.89 - t^6.97 + 2*t^7.04 + 4*t^7.08 - t^7.16 + t^7.23 + 5*t^7.27 + t^7.38 + 4*t^7.45 + 2*t^7.56 + 3*t^7.64 + 4*t^7.75 + 2*t^7.83 + 5*t^7.94 + 2*t^8.01 - 2*t^8.05 + 5*t^8.12 + t^8.16 + t^8.2 - 4*t^8.24 + 4*t^8.31 + 3*t^8.35 + t^8.39 - 8*t^8.42 + 3*t^8.5 + 7*t^8.53 - 7*t^8.61 + 2*t^8.68 + 8*t^8.72 - 6*t^8.8 + t^8.87 + 10*t^8.91 + t^8.94 - 2*t^8.98 - t^4.45/y - t^6.69/y - t^6.88/y + (2*t^7.66)/y + (2*t^7.84)/y + (4*t^8.03)/y + (3*t^8.22)/y + t^8.33/y + t^8.4/y + (2*t^8.52)/y + t^8.63/y + t^8.7/y + (2*t^8.81)/y + t^8.89/y - t^4.45*y - t^6.69*y - t^6.88*y + 2*t^7.66*y + 2*t^7.84*y + 4*t^8.03*y + 3*t^8.22*y + t^8.33*y + t^8.4*y + 2*t^8.52*y + t^8.63*y + t^8.7*y + 2*t^8.81*y + t^8.89*y | t^2.24/g1^34 + (2*t^2.42)/g1^10 + g1^14*t^2.61 + g1^38*t^2.8 + g1^12*t^3.09 + t^3.39/g1^14 + t^3.69/g1^40 + t^3.88/g1^16 + 2*g1^8*t^4.06 + g1^32*t^4.25 + g1^56*t^4.44 + t^4.47/g1^68 + (2*t^4.66)/g1^44 + (4*t^4.84)/g1^20 + 3*g1^4*t^5.03 + 3*g1^28*t^5.22 + t^5.33/g1^22 + g1^52*t^5.4 + 2*g1^2*t^5.52 + g1^76*t^5.59 + g1^26*t^5.7 + g1^50*t^5.89 + t^5.92/g1^74 - 2*t^6. + (3*t^6.11)/g1^50 - g1^24*t^6.19 + (4*t^6.3)/g1^26 - g1^48*t^6.37 + (6*t^6.48)/g1^2 + 4*g1^22*t^6.67 + t^6.71/g1^102 + 4*g1^46*t^6.86 + (2*t^6.89)/g1^78 - t^6.97/g1^4 + 2*g1^70*t^7.04 + (4*t^7.08)/g1^54 - g1^20*t^7.16 + g1^94*t^7.23 + (5*t^7.27)/g1^30 + t^7.38/g1^80 + (4*t^7.45)/g1^6 + (2*t^7.56)/g1^56 + 3*g1^18*t^7.64 + (4*t^7.75)/g1^32 + 2*g1^42*t^7.83 + (5*t^7.94)/g1^8 + 2*g1^66*t^8.01 - (2*t^8.05)/g1^58 + 5*g1^16*t^8.12 + t^8.16/g1^108 + g1^90*t^8.2 - (4*t^8.24)/g1^34 + 4*g1^40*t^8.31 + (3*t^8.35)/g1^84 + g1^114*t^8.39 - (8*t^8.42)/g1^10 + 3*g1^64*t^8.5 + (7*t^8.53)/g1^60 - 7*g1^14*t^8.61 + 2*g1^88*t^8.68 + (8*t^8.72)/g1^36 - 6*g1^38*t^8.8 + g1^112*t^8.87 + (10*t^8.91)/g1^12 + t^8.94/g1^136 - 2*g1^62*t^8.98 - t^4.45/(g1^6*y) - t^6.69/(g1^40*y) - t^6.88/(g1^16*y) + (2*t^7.66)/(g1^44*y) + (2*t^7.84)/(g1^20*y) + (4*g1^4*t^8.03)/y + (3*g1^28*t^8.22)/y + t^8.33/(g1^22*y) + (g1^52*t^8.4)/y + (2*g1^2*t^8.52)/y + t^8.63/(g1^48*y) + (g1^26*t^8.7)/y + (2*t^8.81)/(g1^24*y) + (g1^50*t^8.89)/y - (t^4.45*y)/g1^6 - (t^6.69*y)/g1^40 - (t^6.88*y)/g1^16 + (2*t^7.66*y)/g1^44 + (2*t^7.84*y)/g1^20 + 4*g1^4*t^8.03*y + 3*g1^28*t^8.22*y + (t^8.33*y)/g1^22 + g1^52*t^8.4*y + 2*g1^2*t^8.52*y + (t^8.63*y)/g1^48 + g1^26*t^8.7*y + (2*t^8.81*y)/g1^24 + g1^50*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 4365 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6674 | 0.8447 | 0.79 | [X:[], M:[0.7568, 1.027, 1.1892, 1.1351, 0.8108, 0.8649, 0.8108], q:[0.4865, 0.7568], qb:[0.3784, 0.4324], phi:[0.4865]] | t^2.27 + 2*t^2.43 + t^2.59 + t^2.76 + t^3.08 + t^3.41 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + 2*t^4.7 + 4*t^4.86 + 3*t^5.03 + 3*t^5.19 + 2*t^5.35 + 3*t^5.51 + t^5.68 + t^5.84 - t^6. - t^4.46/y - t^4.46*y | detail | {a: 540873/810448, c: 342309/405224, M1: 28/37, M2: 38/37, M3: 44/37, M4: 42/37, M5: 30/37, M6: 32/37, M7: 30/37, q1: 18/37, q2: 28/37, qb1: 14/37, qb2: 16/37, phi1: 18/37} |
| 4367 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_6M_8$ | 0.6562 | 0.8258 | 0.7946 | [X:[], M:[0.7323, 1.0357, 1.1964, 1.125, 0.8036, 0.875, 0.8036, 1.125], q:[0.5088, 0.7589], qb:[0.3661, 0.4375], phi:[0.4822]] | t^2.2 + 2*t^2.41 + t^2.84 + t^3.11 + 2*t^3.38 + t^3.64 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.39 + t^4.5 + 2*t^4.61 + 3*t^4.82 + t^5.04 + 2*t^5.25 + t^5.3 + 2*t^5.52 + t^5.57 + t^5.68 + 2*t^5.79 + t^5.84 + t^5.95 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
| 4372 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6879 | 0.8837 | 0.7785 | [X:[], M:[0.7491, 1.0297, 1.1914, 1.132, 0.8086, 0.868, 0.8086, 0.7063], q:[0.4935, 0.7574], qb:[0.3745, 0.434], phi:[0.4851]] | t^2.12 + t^2.25 + 2*t^2.43 + t^2.6 + t^2.78 + t^3.09 + t^3.4 + t^3.7 + 2*t^4.06 + 2*t^4.24 + t^4.37 + t^4.42 + t^4.49 + 2*t^4.54 + 2*t^4.67 + t^4.72 + 4*t^4.85 + t^4.9 + 3*t^5.03 + 4*t^5.21 + t^5.34 + t^5.39 + 3*t^5.51 + t^5.56 + t^5.69 + t^5.82 + t^5.87 + t^5.95 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 4370 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6862 | 0.8793 | 0.7804 | [X:[], M:[0.7638, 1.0246, 1.1871, 1.138, 0.8129, 0.862, 0.8129, 0.7485], q:[0.4801, 0.7561], qb:[0.3819, 0.431], phi:[0.4877]] | t^2.25 + t^2.29 + 2*t^2.44 + t^2.59 + t^2.73 + t^3.07 + t^3.41 + t^3.9 + 2*t^4.05 + t^4.2 + t^4.34 + t^4.49 + t^4.54 + t^4.58 + 2*t^4.68 + 2*t^4.73 + t^4.83 + 4*t^4.88 + t^4.98 + 3*t^5.02 + 3*t^5.17 + 2*t^5.32 + t^5.36 + t^5.47 + 2*t^5.51 + 2*t^5.66 + t^5.81 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 4368 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ | 0.6633 | 0.8395 | 0.7902 | [X:[], M:[0.7043, 1.0455, 1.2046, 1.1136, 0.7954, 0.8864, 0.7954, 1.0225], q:[0.5343, 0.7614], qb:[0.3522, 0.4432], phi:[0.4772]] | t^2.11 + 2*t^2.39 + t^2.66 + t^3.07 + t^3.14 + t^3.34 + t^3.54 + t^3.82 + 2*t^4.09 + t^4.23 + t^4.36 + 2*t^4.5 + t^4.64 + 4*t^4.77 + 2*t^5.05 + t^5.18 + t^5.25 + t^5.32 + 2*t^5.45 + 2*t^5.52 + t^5.66 + t^5.73 + t^5.8 + 3*t^5.93 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
| 4364 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_7$ + $ \phi_1q_2^2$ + $ q_1^2\tilde{q}_2^2$ | 0.6628 | 0.8404 | 0.7886 | [X:[], M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.7895], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.05 + 2*t^2.37 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.47 + t^3.79 + 3*t^4.11 + 3*t^4.42 + 5*t^4.74 + 3*t^5.05 + t^5.21 + 3*t^5.37 + 3*t^5.53 + t^5.68 + 4*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | {a: 36369/54872, c: 11529/13718, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 15/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1331 | 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_3M_5$ + $ M_3M_7$ | 0.7046 | 0.8662 | 0.8135 | [X:[], M:[0.8644, 1.0339, 1.0679, 1.0001, 0.9321, 0.9999, 0.9321], q:[0.5677, 0.5679], qb:[0.4322, 0.4999], phi:[0.4831]] | t^2.59 + 2*t^2.8 + 2*t^3. + t^3.1 + t^3.2 + t^4.04 + t^4.25 + 3*t^4.45 + 2*t^4.65 + 3*t^4.86 + t^5.19 + 2*t^5.39 + 3*t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 - t^6. - t^4.45/y - t^4.45*y | detail |