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 |
|---|---|---|---|---|---|---|---|---|---|
| 52327 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ \phi_1q_2^2$ | 0.6433 | 0.803 | 0.801 | [X:[], M:[0.8774, 1.1981, 1.1226, 0.7264, 0.8019, 1.1226], q:[0.3632, 0.7594], qb:[0.4387, 0.5142], phi:[0.4811]] | [X:[], M:[[14], [10], [-14], [-34], [-10], [-14]], q:[[-17], [3]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_3$, $ M_6$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1^2$, $ M_3M_4$, $ M_4M_6$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ \phi_1^4$, $ M_4\phi_1q_1^2$ | . | -2 | t^2.18 + t^2.41 + t^2.86 + t^2.89 + 2*t^3.37 + t^3.59 + t^3.62 + t^3.85 + 2*t^4.08 + t^4.3 + t^4.36 + t^4.53 + t^4.58 + t^4.81 + t^5.04 + t^5.07 + t^5.26 + t^5.29 + t^5.55 + t^5.72 + t^5.75 + 2*t^5.77 + t^5.8 - 2*t^6. + 2*t^6.03 - t^6.23 + 4*t^6.25 + 3*t^6.48 + t^6.51 + t^6.54 + t^6.71 + 2*t^6.74 + t^6.76 + 2*t^6.93 + 2*t^6.96 + 2*t^6.99 + t^7.16 - t^7.19 + 2*t^7.22 + 2*t^7.24 + t^7.39 + 2*t^7.44 + 2*t^7.47 - t^7.64 + t^7.67 + 3*t^7.7 + t^7.73 + t^7.9 + 2*t^7.92 + t^7.95 + t^7.98 + t^8.12 + 3*t^8.15 - t^8.18 + 2*t^8.21 + t^8.38 - 4*t^8.41 + 4*t^8.43 + t^8.58 + 3*t^8.6 - 2*t^8.63 + 4*t^8.66 + t^8.69 + t^8.72 + t^8.83 - 3*t^8.86 + 2*t^8.91 + t^8.94 - t^4.44/y - t^6.62/y + t^7.08/y - t^7.33/y + t^7.56/y + t^7.58/y - t^7.81/y + t^8.04/y + t^8.07/y + (2*t^8.26)/y + t^8.29/y + (2*t^8.55)/y + t^8.75/y + (3*t^8.77)/y - t^4.44*y - t^6.62*y + t^7.08*y - t^7.33*y + t^7.56*y + t^7.58*y - t^7.81*y + t^8.04*y + t^8.07*y + 2*t^8.26*y + t^8.29*y + 2*t^8.55*y + t^8.75*y + 3*t^8.77*y | t^2.18/g1^34 + t^2.41/g1^10 + g1^38*t^2.86 + t^2.89/g1^12 + (2*t^3.37)/g1^14 + g1^10*t^3.59 + t^3.62/g1^40 + t^3.85/g1^16 + 2*g1^8*t^4.08 + g1^32*t^4.3 + t^4.36/g1^68 + g1^56*t^4.53 + t^4.58/g1^44 + t^4.81/g1^20 + g1^4*t^5.04 + t^5.07/g1^46 + g1^28*t^5.26 + t^5.29/g1^22 + t^5.55/g1^48 + g1^76*t^5.72 + g1^26*t^5.75 + (2*t^5.77)/g1^24 + t^5.8/g1^74 - 2*t^6. + (2*t^6.03)/g1^50 - g1^24*t^6.23 + (4*t^6.25)/g1^26 + (3*t^6.48)/g1^2 + t^6.51/g1^52 + t^6.54/g1^102 + g1^22*t^6.71 + (2*t^6.74)/g1^28 + t^6.76/g1^78 + 2*g1^46*t^6.93 + (2*t^6.96)/g1^4 + (2*t^6.99)/g1^54 + g1^70*t^7.16 - g1^20*t^7.19 + (2*t^7.22)/g1^30 + (2*t^7.24)/g1^80 + g1^94*t^7.39 + (2*t^7.44)/g1^6 + (2*t^7.47)/g1^56 - g1^68*t^7.64 + g1^18*t^7.67 + (3*t^7.7)/g1^32 + t^7.73/g1^82 + g1^42*t^7.9 + (2*t^7.92)/g1^8 + t^7.95/g1^58 + t^7.98/g1^108 + g1^66*t^8.12 + 3*g1^16*t^8.15 - t^8.18/g1^34 + (2*t^8.21)/g1^84 + g1^40*t^8.38 - (4*t^8.41)/g1^10 + (4*t^8.43)/g1^60 + g1^114*t^8.58 + 3*g1^64*t^8.6 - 2*g1^14*t^8.63 + (4*t^8.66)/g1^36 + t^8.69/g1^86 + t^8.72/g1^136 + g1^88*t^8.83 - 3*g1^38*t^8.86 + (2*t^8.91)/g1^62 + t^8.94/g1^112 - t^4.44/(g1^6*y) - t^6.62/(g1^40*y) + (g1^8*t^7.08)/y - t^7.33/(g1^18*y) + (g1^6*t^7.56)/y + t^7.58/(g1^44*y) - t^7.81/(g1^20*y) + (g1^4*t^8.04)/y + t^8.07/(g1^46*y) + (2*g1^28*t^8.26)/y + t^8.29/(g1^22*y) + (2*t^8.55)/(g1^48*y) + (g1^26*t^8.75)/y + (3*t^8.77)/(g1^24*y) - (t^4.44*y)/g1^6 - (t^6.62*y)/g1^40 + g1^8*t^7.08*y - (t^7.33*y)/g1^18 + g1^6*t^7.56*y + (t^7.58*y)/g1^44 - (t^7.81*y)/g1^20 + g1^4*t^8.04*y + (t^8.07*y)/g1^46 + 2*g1^28*t^8.26*y + (t^8.29*y)/g1^22 + (2*t^8.55*y)/g1^48 + g1^26*t^8.75*y + (3*t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 56377 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1^2$ | 0.6421 | 0.8009 | 0.8017 | [X:[], M:[0.8649, 1.1892, 1.1351, 0.7568, 0.8108, 1.1351], q:[0.3784, 0.7568], qb:[0.4324, 0.4865], phi:[0.4865]] | t^2.27 + t^2.43 + t^2.76 + t^2.92 + 2*t^3.41 + 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 + t^4.86 + t^5.03 + 2*t^5.19 + t^5.35 + t^5.51 + 2*t^5.68 + 2*t^5.84 - t^6. - t^4.46/y - t^4.46*y | detail | {a: 260193/405224, c: 40567/50653, M1: 32/37, M2: 44/37, M3: 42/37, M4: 28/37, M5: 30/37, M6: 42/37, q1: 14/37, q2: 28/37, qb1: 16/37, qb2: 18/37, phi1: 18/37} |
| 56386 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.6634 | 0.8409 | 0.789 | [X:[], M:[0.8754, 1.1967, 1.1246, 0.7311, 0.8033, 1.1246, 0.7148], q:[0.3656, 0.759], qb:[0.4377, 0.5099], phi:[0.482]] | t^2.14 + t^2.19 + t^2.41 + t^2.84 + t^2.89 + 2*t^3.37 + t^3.59 + t^3.64 + 2*t^4.07 + 2*t^4.29 + t^4.34 + t^4.39 + t^4.51 + t^4.55 + t^4.6 + t^4.82 + t^4.99 + 2*t^5.04 + t^5.09 + t^5.25 + t^5.3 + 2*t^5.52 + t^5.57 + t^5.69 + 2*t^5.73 + 3*t^5.78 + t^5.83 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 56384 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ | 0.661 | 0.8346 | 0.7919 | [X:[], M:[0.8682, 1.1915, 1.1318, 0.7488, 0.8085, 1.1318, 0.7661], q:[0.3744, 0.7575], qb:[0.4341, 0.4938], phi:[0.4851]] | t^2.25 + t^2.3 + t^2.43 + t^2.78 + t^2.91 + 2*t^3.4 + t^3.57 + t^3.88 + 2*t^4.06 + t^4.24 + t^4.42 + t^4.49 + t^4.54 + t^4.6 + t^4.67 + t^4.72 + t^4.85 + t^5.03 + t^5.08 + t^5.16 + 2*t^5.21 + t^5.34 + t^5.57 + t^5.64 + 3*t^5.69 + 2*t^5.82 + t^5.87 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 56381 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ \phi_1q_2^2$ + $ M_7\phi_1^2$ | 0.6399 | 0.7972 | 0.8027 | [X:[], M:[0.872, 1.1943, 1.128, 0.7395, 0.8057, 1.128, 1.0331], q:[0.3697, 0.7583], qb:[0.436, 0.5022], phi:[0.4834]] | t^2.22 + t^2.42 + t^2.81 + t^3.1 + 2*t^3.38 + t^3.58 + t^3.67 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.44 + t^4.46 + t^4.64 + t^4.83 + t^5.03 + t^5.23 + t^5.32 + t^5.52 + t^5.6 + t^5.63 + t^5.8 + t^5.89 + t^5.91 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 56379 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ \phi_1q_2^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.641 | 0.8022 | 0.7991 | [X:[], M:[0.8947, 1.2105, 1.1053, 0.6843, 0.7895, 1.1053, 1.0001], q:[0.3421, 0.7632], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.05 + t^2.37 + t^2.84 + t^3. + 2*t^3.32 + t^3.47 + t^3.63 + t^3.79 + 3*t^4.11 + 2*t^4.42 + 2*t^4.74 + t^4.89 + t^5.05 + t^5.21 + 2*t^5.37 + t^5.53 + 2*t^5.68 + 3*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | |
| 56375 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ + $ \phi_1q_2^2$ + $ \tilde{q}_1^2\tilde{q}_2^2$ | 0.641 | 0.8022 | 0.7991 | [X:[], M:[0.8947, 1.2105, 1.1053, 0.6842, 0.7895, 1.1053], q:[0.3421, 0.7632], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.05 + t^2.37 + t^2.84 + t^3. + 2*t^3.32 + t^3.47 + t^3.63 + t^3.79 + 3*t^4.11 + 2*t^4.42 + 2*t^4.74 + t^4.89 + t^5.05 + t^5.21 + 2*t^5.37 + t^5.53 + 2*t^5.68 + 3*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | {a: 35175/54872, c: 88039/109744, M1: 17/19, M2: 23/19, M3: 21/19, M4: 13/19, M5: 15/19, M6: 21/19, q1: 13/38, q2: 29/38, qb1: 17/38, qb2: 21/38, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 48187 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_1M_6$ | 0.7055 | 0.8657 | 0.8149 | [X:[], M:[1.0469, 1.0376, 0.9531, 0.878, 0.9624, 0.9531], q:[0.439, 0.5141], qb:[0.5235, 0.6079], phi:[0.4789]] | t^2.63 + 2*t^2.86 + t^2.87 + t^2.89 + t^3.11 + t^3.39 + t^4.07 + t^4.3 + t^4.32 + t^4.52 + t^4.55 + 2*t^4.58 + t^4.8 + t^4.83 + t^5.08 + t^5.27 + t^5.49 + t^5.51 + t^5.52 + 2*t^5.72 + 2*t^5.73 + 2*t^5.75 + t^5.76 + t^5.97 + t^5.99 - 3*t^6. - t^4.44/y - t^4.44*y | detail |