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 |
|---|---|---|---|---|---|---|---|---|---|
| 3882 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ | 0.6087 | 0.7778 | 0.7826 | [X:[], M:[0.8222, 0.8834, 0.9847, 0.7208, 1.2792, 0.7208, 1.0153], q:[0.7361, 0.4417], qb:[0.2792, 0.8375], phi:[0.4264]] | [X:[], M:[[16], [-12], [7], [-3], [3], [-3], [-7]], q:[[-10], [-6]], qb:[[3], [9]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_7$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_4$, $ M_1M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_7$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_2^2$, $ M_1M_3$, $ M_1M_7$, $ M_3\phi_1^2$, $ M_2M_3$, $ M_7\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_2M_7$, $ \phi_1q_1^2$, $ M_3^2$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | 2*t^2.16 + t^2.47 + t^2.56 + t^2.65 + t^2.95 + t^3.05 + t^3.44 + t^3.93 + 3*t^4.33 + 2*t^4.63 + 3*t^4.72 + 2*t^4.81 + t^4.93 + t^5.02 + 4*t^5.12 + 3*t^5.21 + t^5.3 + t^5.42 + t^5.51 + 3*t^5.6 + t^5.7 + t^5.91 - t^6. + 3*t^6.09 + 4*t^6.49 + t^6.58 + t^6.79 + 3*t^6.88 + 3*t^6.98 + 2*t^7.1 + 2*t^7.19 + 5*t^7.28 + 5*t^7.37 + t^7.4 + 2*t^7.46 + t^7.49 + 4*t^7.58 + 3*t^7.67 + 6*t^7.77 + 4*t^7.86 + t^7.89 + t^7.95 + t^7.98 + 2*t^8.07 - 2*t^8.16 + 5*t^8.25 + t^8.35 + t^8.37 - 2*t^8.47 - 2*t^8.56 + 3*t^8.65 + 3*t^8.74 - 3*t^8.95 - t^4.28/y - t^6.44/y - t^6.75/y - t^6.84/y - t^6.93/y + t^7.33/y + (3*t^7.63)/y + (3*t^7.72)/y + (3*t^7.81)/y + t^8.02/y + (4*t^8.12)/y + (3*t^8.21)/y + t^8.42/y + (2*t^8.51)/y + (3*t^8.6)/y + t^8.7/y - t^4.28*y - t^6.44*y - t^6.75*y - t^6.84*y - t^6.93*y + t^7.33*y + 3*t^7.63*y + 3*t^7.72*y + 3*t^7.81*y + t^8.02*y + 4*t^8.12*y + 3*t^8.21*y + t^8.42*y + 2*t^8.51*y + 3*t^8.6*y + t^8.7*y | (2*t^2.16)/g1^3 + g1^16*t^2.47 + g1^2*t^2.56 + t^2.65/g1^12 + g1^7*t^2.95 + t^3.05/g1^7 + t^3.44/g1^2 + t^3.93/g1^11 + (3*t^4.33)/g1^6 + 2*g1^13*t^4.63 + (3*t^4.72)/g1 + (2*t^4.81)/g1^15 + g1^32*t^4.93 + g1^18*t^5.02 + 4*g1^4*t^5.12 + (3*t^5.21)/g1^10 + t^5.3/g1^24 + g1^23*t^5.42 + g1^9*t^5.51 + (3*t^5.6)/g1^5 + t^5.7/g1^19 + g1^14*t^5.91 - t^6. + (3*t^6.09)/g1^14 + (4*t^6.49)/g1^9 + t^6.58/g1^23 + g1^10*t^6.79 + (3*t^6.88)/g1^4 + (3*t^6.98)/g1^18 + 2*g1^29*t^7.1 + 2*g1^15*t^7.19 + 5*g1*t^7.28 + (5*t^7.37)/g1^13 + g1^48*t^7.4 + (2*t^7.46)/g1^27 + g1^34*t^7.49 + 4*g1^20*t^7.58 + 3*g1^6*t^7.67 + (6*t^7.77)/g1^8 + (4*t^7.86)/g1^22 + g1^39*t^7.89 + t^7.95/g1^36 + g1^25*t^7.98 + 2*g1^11*t^8.07 - (2*t^8.16)/g1^3 + (5*t^8.25)/g1^17 + t^8.35/g1^31 + g1^30*t^8.37 - 2*g1^16*t^8.47 - 2*g1^2*t^8.56 + (3*t^8.65)/g1^12 + (3*t^8.74)/g1^26 - 3*g1^7*t^8.95 - (g1*t^4.28)/y - t^6.44/(g1^2*y) - (g1^17*t^6.75)/y - (g1^3*t^6.84)/y - t^6.93/(g1^11*y) + t^7.33/(g1^6*y) + (3*g1^13*t^7.63)/y + (3*t^7.72)/(g1*y) + (3*t^7.81)/(g1^15*y) + (g1^18*t^8.02)/y + (4*g1^4*t^8.12)/y + (3*t^8.21)/(g1^10*y) + (g1^23*t^8.42)/y + (2*g1^9*t^8.51)/y + (3*t^8.6)/(g1^5*y) + t^8.7/(g1^19*y) - g1*t^4.28*y - (t^6.44*y)/g1^2 - g1^17*t^6.75*y - g1^3*t^6.84*y - (t^6.93*y)/g1^11 + (t^7.33*y)/g1^6 + 3*g1^13*t^7.63*y + (3*t^7.72*y)/g1 + (3*t^7.81*y)/g1^15 + g1^18*t^8.02*y + 4*g1^4*t^8.12*y + (3*t^8.21*y)/g1^10 + g1^23*t^8.42*y + 2*g1^9*t^8.51*y + (3*t^8.6*y)/g1^5 + (t^8.7*y)/g1^19 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5470 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ + $ M_1^2$ | 0.5885 | 0.7604 | 0.774 | [X:[], M:[1.0, 0.75, 1.0625, 0.6875, 1.3125, 0.6875, 0.9375], q:[0.625, 0.375], qb:[0.3125, 0.9375], phi:[0.4375]] | 2*t^2.06 + t^2.25 + t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.56 + 3*t^4.12 + 2*t^4.31 + t^4.5 + 3*t^4.69 + 3*t^4.88 + 3*t^5.06 + 4*t^5.25 + 3*t^5.44 + 4*t^5.62 + 2*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 4821/8192, c: 6229/8192, M1: 1, M2: 3/4, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 15/16, q1: 5/8, q2: 3/8, qb1: 5/16, qb2: 15/16, phi1: 7/16} |
| 5471 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ + $ M_3M_8$ | 0.6079 | 0.7774 | 0.782 | [X:[], M:[0.8537, 0.8597, 0.9985, 0.7149, 1.2851, 0.7149, 1.0015, 1.0015], q:[0.7164, 0.4299], qb:[0.2851, 0.8552], phi:[0.4284]] | 2*t^2.14 + t^2.56 + t^2.57 + t^2.58 + 2*t^3. + t^3.43 + t^3.86 + 3*t^4.29 + 5*t^4.71 + 2*t^4.72 + t^5.12 + t^5.13 + 2*t^5.14 + 5*t^5.15 + t^5.16 + 4*t^5.57 + 2*t^5.58 - 2*t^6. - t^4.29/y - t^4.29*y | detail | |
| 5472 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ + $ M_7M_8$ | 0.6107 | 0.7811 | 0.7818 | [X:[], M:[0.7913, 0.9065, 0.9712, 0.7266, 1.2734, 0.7266, 1.0288, 0.9712], q:[0.7554, 0.4532], qb:[0.2734, 0.8201], phi:[0.4245]] | 2*t^2.18 + t^2.37 + t^2.55 + t^2.72 + 2*t^2.91 + t^3.45 + t^3.99 + 3*t^4.36 + 2*t^4.55 + 3*t^4.73 + t^4.75 + 2*t^4.9 + t^4.92 + 6*t^5.09 + t^5.27 + 2*t^5.29 + t^5.44 + t^5.46 + 3*t^5.63 + 3*t^5.83 - 2*t^6. - t^4.27/y - t^4.27*y | detail | |
| 5473 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6216 | 0.7998 | 0.7772 | [X:[], M:[0.815, 0.8887, 0.9816, 0.7222, 1.2778, 0.7222, 1.0184, 0.8519], q:[0.7406, 0.4444], qb:[0.2778, 0.8335], phi:[0.4259]] | 2*t^2.17 + t^2.45 + 2*t^2.56 + t^2.67 + t^2.94 + t^3.06 + t^3.94 + 3*t^4.33 + 2*t^4.61 + 5*t^4.72 + 2*t^4.83 + t^4.89 + 2*t^5. + 6*t^5.11 + 4*t^5.22 + t^5.33 + t^5.39 + 2*t^5.5 + 2*t^5.61 + t^5.72 - 2*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3396 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6909 | 0.8877 | 0.7783 | [X:[], M:[0.7502, 0.7838, 0.6844, 0.8495, 1.1505, 0.8495, 0.7012], q:[0.8579, 0.3919], qb:[0.4576, 0.7586], phi:[0.3835]] | t^2.05 + t^2.1 + t^2.25 + t^2.3 + t^2.35 + 2*t^2.55 + t^3.5 + t^3.7 + t^4.11 + t^4.16 + t^4.21 + t^4.3 + 2*t^4.35 + 2*t^4.4 + t^4.46 + t^4.5 + t^4.55 + 4*t^4.6 + 3*t^4.65 + t^4.7 + 2*t^4.8 + 3*t^4.85 + 2*t^4.9 + 3*t^5.1 + t^5.56 + t^5.61 + t^5.75 + t^5.8 + t^5.85 - 2*t^6. - t^4.15/y - t^4.15*y | detail |