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 |
|---|---|---|---|---|---|---|---|---|---|
| 2423 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6661 | 0.8389 | 0.794 | [X:[1.5734], M:[0.4266, 1.1911, 0.7867, 0.8532, 0.8089, 0.7867, 0.8311], q:[0.7978, 0.7756], qb:[0.4377, 0.3712], phi:[0.4044]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [6], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_7$, $ M_4$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_5^2$, $ M_3M_7$, $ M_6M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_6$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ M_7^2$, $ M_4\phi_1^2$, $ M_4M_7$, $ M_4^2$, $ M_3q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$ | . | -3 | 2*t^2.36 + 2*t^2.43 + t^2.49 + t^2.56 + t^3.44 + t^3.71 + t^3.84 + t^4.65 + 4*t^4.72 + 3*t^4.79 + 6*t^4.85 + 4*t^4.92 + 2*t^4.99 + t^5.05 + t^5.12 + t^5.8 + 3*t^5.87 - 3*t^6. + t^6.07 + t^6.13 + t^6.2 + 3*t^6.27 + t^6.33 + t^6.4 + t^6.88 - t^7.01 + 6*t^7.08 + 5*t^7.15 + 7*t^7.21 + 11*t^7.28 + 7*t^7.35 + 5*t^7.41 + 4*t^7.48 + 3*t^7.55 + t^7.61 + 2*t^7.68 + t^8.09 + t^8.16 + t^8.23 + 2*t^8.29 - 6*t^8.36 - 5*t^8.43 - 4*t^8.49 + 2*t^8.63 + 5*t^8.69 + 3*t^8.76 + 3*t^8.83 + t^8.89 + t^8.96 - t^4.21/y - (2*t^6.57)/y - t^6.64/y - t^6.71/y - t^6.77/y + t^7.65/y + (2*t^7.72)/y + (5*t^7.79)/y + (5*t^7.85)/y + (4*t^7.92)/y + (2*t^7.99)/y + t^8.05/y + (2*t^8.8)/y + (2*t^8.87)/y - (2*t^8.93)/y - t^4.21*y - 2*t^6.57*y - t^6.64*y - t^6.71*y - t^6.77*y + t^7.65*y + 2*t^7.72*y + 5*t^7.79*y + 5*t^7.85*y + 4*t^7.92*y + 2*t^7.99*y + t^8.05*y + 2*t^8.8*y + 2*t^8.87*y - 2*t^8.93*y | 2*g1^6*t^2.36 + (2*t^2.43)/g1^4 + t^2.49/g1^14 + t^2.56/g1^24 + g1^24*t^3.44 + t^3.71/g1^16 + t^3.84/g1^36 + g1^22*t^4.65 + 4*g1^12*t^4.72 + 3*g1^2*t^4.79 + (6*t^4.85)/g1^8 + (4*t^4.92)/g1^18 + (2*t^4.99)/g1^28 + t^5.05/g1^38 + t^5.12/g1^48 + g1^30*t^5.8 + 3*g1^20*t^5.87 - 3*t^6. + t^6.07/g1^10 + t^6.13/g1^20 + t^6.2/g1^30 + (3*t^6.27)/g1^40 + t^6.33/g1^50 + t^6.4/g1^60 + g1^48*t^6.88 - g1^28*t^7.01 + 6*g1^18*t^7.08 + 5*g1^8*t^7.15 + (7*t^7.21)/g1^2 + (11*t^7.28)/g1^12 + (7*t^7.35)/g1^22 + (5*t^7.41)/g1^32 + (4*t^7.48)/g1^42 + (3*t^7.55)/g1^52 + t^7.61/g1^62 + (2*t^7.68)/g1^72 + g1^46*t^8.09 + g1^36*t^8.16 + g1^26*t^8.23 + 2*g1^16*t^8.29 - 6*g1^6*t^8.36 - (5*t^8.43)/g1^4 - (4*t^8.49)/g1^14 + (2*t^8.63)/g1^34 + (5*t^8.69)/g1^44 + (3*t^8.76)/g1^54 + (3*t^8.83)/g1^64 + t^8.89/g1^74 + t^8.96/g1^84 - t^4.21/(g1^2*y) - (2*g1^4*t^6.57)/y - t^6.64/(g1^6*y) - t^6.71/(g1^16*y) - t^6.77/(g1^26*y) + (g1^22*t^7.65)/y + (2*g1^12*t^7.72)/y + (5*g1^2*t^7.79)/y + (5*t^7.85)/(g1^8*y) + (4*t^7.92)/(g1^18*y) + (2*t^7.99)/(g1^28*y) + t^8.05/(g1^38*y) + (2*g1^30*t^8.8)/y + (2*g1^20*t^8.87)/y - (2*g1^10*t^8.93)/y - (t^4.21*y)/g1^2 - 2*g1^4*t^6.57*y - (t^6.64*y)/g1^6 - (t^6.71*y)/g1^16 - (t^6.77*y)/g1^26 + g1^22*t^7.65*y + 2*g1^12*t^7.72*y + 5*g1^2*t^7.79*y + (5*t^7.85*y)/g1^8 + (4*t^7.92*y)/g1^18 + (2*t^7.99*y)/g1^28 + (t^8.05*y)/g1^38 + 2*g1^30*t^8.8*y + 2*g1^20*t^8.87*y - 2*g1^10*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 4465 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_4M_7$ | 0.6265 | 0.791 | 0.7921 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.8421, 0.7368, 0.9474], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | 2*t^2.21 + 2*t^2.53 + 2*t^2.84 + t^3.16 + 2*t^4.11 + 4*t^4.42 + 4*t^4.74 + 7*t^5.05 + 7*t^5.37 + 3*t^5.68 - 2*t^6. - t^4.26/y - t^4.26*y | detail | {a: 34377/54872, c: 21701/27436, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 16/19, M6: 14/19, M7: 18/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
| 4467 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_4M_8$ | 0.6547 | 0.8192 | 0.7993 | [X:[1.5533], M:[0.4467, 1.1844, 0.7767, 0.8933, 0.8156, 0.7767, 0.8544, 1.1067], q:[0.7961, 0.7572], qb:[0.4661, 0.3495], phi:[0.4078]] | 2*t^2.33 + 2*t^2.45 + t^2.56 + 2*t^3.32 + t^3.79 + t^4.02 + t^4.54 + 4*t^4.66 + 3*t^4.78 + 6*t^4.89 + 2*t^5.01 + 3*t^5.65 + 5*t^5.77 + t^5.88 - 4*t^6. - t^4.22/y - t^4.22*y | detail | |
| 4466 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_1$ | 0.6847 | 0.8722 | 0.785 | [X:[1.5666], M:[0.4334, 1.1889, 0.7833, 0.8668, 0.8111, 0.7833, 0.839, 0.7555], q:[0.7972, 0.7694], qb:[0.4473, 0.3638], phi:[0.4056]] | t^2.27 + 2*t^2.35 + 2*t^2.43 + t^2.52 + t^2.6 + t^3.4 + t^3.9 + t^4.53 + 3*t^4.62 + 6*t^4.7 + 4*t^4.78 + 7*t^4.87 + 4*t^4.95 + 2*t^5.03 + t^5.12 + t^5.2 + t^5.67 + t^5.75 + 3*t^5.83 - 3*t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1354 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.652 | 0.8141 | 0.8009 | [X:[1.5634], M:[0.4366, 1.1878, 0.7817, 0.8733, 0.8122, 0.7817], q:[0.7969, 0.7664], qb:[0.4519, 0.3603], phi:[0.4061]] | 2*t^2.35 + 2*t^2.44 + t^2.62 + t^3.38 + t^3.47 + t^3.75 + t^3.93 + t^4.6 + 4*t^4.69 + 3*t^4.78 + 4*t^4.87 + 2*t^4.96 + t^5.06 + t^5.24 + t^5.73 + 5*t^5.82 + t^5.91 - 3*t^6. - t^4.22/y - t^4.22*y | detail |