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 |
|---|---|---|---|---|---|---|---|---|---|
| 2034 | 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_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6502 | 0.8109 | 0.8018 | [X:[1.5709], M:[0.4291, 1.1903, 0.7855, 0.8582, 0.7855, 0.8339], q:[0.7976, 0.7733], qb:[0.4412, 0.3685], phi:[0.4048]] | [X:[[12]], M:[[-12], [4], [6], [-24], [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_5$, $ \phi_1^2$, $ M_6$, $ M_4$, $ q_2\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_3M_6$, $ M_5M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_5$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_6^2$, $ M_4\phi_1^2$, $ M_4M_6$, $ M_4^2$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_2$ | . | -2 | 2*t^2.36 + t^2.43 + t^2.5 + t^2.57 + t^3.43 + t^3.57 + t^3.72 + t^3.86 + t^4.64 + 4*t^4.71 + t^4.79 + 4*t^4.86 + 3*t^4.93 + t^5. + t^5.08 + t^5.15 + t^5.78 + 2*t^5.85 + 2*t^5.93 - 2*t^6. + 2*t^6.07 + t^6.15 + t^6.22 + 2*t^6.29 + t^6.36 + t^6.44 + t^6.85 + 5*t^7.07 + 2*t^7.14 + 4*t^7.21 + 6*t^7.29 + 3*t^7.36 + 4*t^7.43 + 3*t^7.51 + 2*t^7.58 + t^7.65 + 2*t^7.72 + t^8.07 + t^8.14 + t^8.21 + 3*t^8.28 - 5*t^8.36 + 2*t^8.43 - 2*t^8.5 + 2*t^8.65 + 3*t^8.72 + 2*t^8.79 + 2*t^8.87 + t^8.94 - t^4.21/y - (2*t^6.57)/y - t^6.72/y - t^6.79/y + t^7.64/y + (2*t^7.71)/y + (2*t^7.79)/y + (4*t^7.86)/y + (3*t^7.93)/y + t^8./y + t^8.08/y + (2*t^8.78)/y + t^8.85/y - t^4.21*y - 2*t^6.57*y - t^6.72*y - t^6.79*y + t^7.64*y + 2*t^7.71*y + 2*t^7.79*y + 4*t^7.86*y + 3*t^7.93*y + t^8.*y + t^8.08*y + 2*t^8.78*y + t^8.85*y | 2*g1^6*t^2.36 + t^2.43/g1^4 + t^2.5/g1^14 + t^2.57/g1^24 + g1^24*t^3.43 + g1^4*t^3.57 + t^3.72/g1^16 + t^3.86/g1^36 + g1^22*t^4.64 + 4*g1^12*t^4.71 + g1^2*t^4.79 + (4*t^4.86)/g1^8 + (3*t^4.93)/g1^18 + t^5./g1^28 + t^5.08/g1^38 + t^5.15/g1^48 + g1^30*t^5.78 + 2*g1^20*t^5.85 + 2*g1^10*t^5.93 - 2*t^6. + (2*t^6.07)/g1^10 + t^6.15/g1^20 + t^6.22/g1^30 + (2*t^6.29)/g1^40 + t^6.36/g1^50 + t^6.44/g1^60 + g1^48*t^6.85 + 5*g1^18*t^7.07 + 2*g1^8*t^7.14 + (4*t^7.21)/g1^2 + (6*t^7.29)/g1^12 + (3*t^7.36)/g1^22 + (4*t^7.43)/g1^32 + (3*t^7.51)/g1^42 + (2*t^7.58)/g1^52 + t^7.65/g1^62 + (2*t^7.72)/g1^72 + g1^46*t^8.07 + g1^36*t^8.14 + g1^26*t^8.21 + 3*g1^16*t^8.28 - 5*g1^6*t^8.36 + (2*t^8.43)/g1^4 - (2*t^8.5)/g1^14 + (2*t^8.65)/g1^34 + (3*t^8.72)/g1^44 + (2*t^8.79)/g1^54 + (2*t^8.87)/g1^64 + t^8.94/g1^74 - t^4.21/(g1^2*y) - (2*g1^4*t^6.57)/y - t^6.72/(g1^16*y) - t^6.79/(g1^26*y) + (g1^22*t^7.64)/y + (2*g1^12*t^7.71)/y + (2*g1^2*t^7.79)/y + (4*t^7.86)/(g1^8*y) + (3*t^7.93)/(g1^18*y) + t^8./(g1^28*y) + t^8.08/(g1^38*y) + (2*g1^30*t^8.78)/y + (g1^20*t^8.85)/y - (t^4.21*y)/g1^2 - 2*g1^4*t^6.57*y - (t^6.72*y)/g1^16 - (t^6.79*y)/g1^26 + g1^22*t^7.64*y + 2*g1^12*t^7.71*y + 2*g1^2*t^7.79*y + (4*t^7.86*y)/g1^8 + (3*t^7.93*y)/g1^18 + (t^8.*y)/g1^28 + (t^8.08*y)/g1^38 + 2*g1^30*t^8.78*y + g1^20*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 3100 | $M_1q_1q_2$ + $ 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_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ | 0.6128 | 0.7674 | 0.7985 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.7368, 0.9474], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | 2*t^2.21 + t^2.53 + 2*t^2.84 + t^3.16 + t^3.47 + 2*t^4.11 + 4*t^4.42 + 2*t^4.74 + 5*t^5.05 + 5*t^5.37 + 4*t^5.68 - t^6. - t^4.26/y - t^4.26*y | detail | {a: 67251/109744, c: 42109/54872, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 14/19, M6: 18/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
| 3101 | $M_1q_1q_2$ + $ 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_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_7$ | 0.6392 | 0.7923 | 0.8068 | [X:[1.5504], M:[0.4496, 1.1835, 0.7752, 0.8991, 0.7752, 0.8578, 1.1009], q:[0.7959, 0.7546], qb:[0.4702, 0.3463], phi:[0.4083]] | 2*t^2.33 + t^2.45 + t^2.57 + 2*t^3.3 + t^3.55 + t^3.8 + t^4.05 + t^4.53 + 4*t^4.65 + t^4.78 + 4*t^4.9 + t^5.02 + 3*t^5.63 + 3*t^5.75 + 3*t^5.88 - 3*t^6. - t^4.22/y - t^4.22*y | detail | |
| 3102 | $M_1q_1q_2$ + $ 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_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6689 | 0.8447 | 0.7919 | [X:[1.5643], M:[0.4357, 1.1881, 0.7821, 0.8714, 0.7821, 0.8417, 0.7524], q:[0.797, 0.7673], qb:[0.4506, 0.3613], phi:[0.406]] | t^2.26 + 2*t^2.35 + t^2.44 + t^2.53 + t^2.61 + t^3.39 + t^3.56 + t^3.92 + t^4.51 + 3*t^4.6 + 5*t^4.69 + 2*t^4.78 + 5*t^4.87 + 3*t^4.96 + t^5.05 + t^5.14 + t^5.23 + t^5.64 + t^5.73 + 3*t^5.82 + 2*t^5.91 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 863 | 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_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6363 | 0.7867 | 0.8088 | [X:[1.5607], M:[0.4393, 1.1869, 0.7803, 0.8786, 0.7803], q:[0.7967, 0.764], qb:[0.4557, 0.3574], phi:[0.4066]] | 2*t^2.34 + t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.56 + t^3.76 + t^3.95 + t^4.58 + 4*t^4.68 + t^4.78 + 2*t^4.88 + 2*t^4.98 + t^5.27 + t^5.71 + 4*t^5.8 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail |