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 |
|---|---|---|---|---|---|---|---|---|---|
| 4447 | 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_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_1$ | 0.6896 | 0.8852 | 0.7791 | [X:[1.5612], M:[0.4388, 1.1871, 0.7806, 0.8776, 0.7806, 0.6836, 0.8452, 0.7483], q:[0.7968, 0.7644], qb:[0.4549, 0.358], phi:[0.4065]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [36], [-14], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_8$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_7$, $ M_4$, $ q_2\tilde{q}_2$, $ M_2$, $ M_6^2$, $ M_6M_8$, $ M_3M_6$, $ M_5M_6$, $ M_8^2$, $ M_6\phi_1^2$, $ M_6M_7$, $ M_3M_8$, $ M_5M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_4M_6$, $ M_8\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_7M_8$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_3M_7$, $ M_5M_7$, $ M_4M_8$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_5$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_7^2$, $ M_4\phi_1^2$, $ M_4M_7$, $ M_4^2$, $ M_6q_2\tilde{q}_2$, $ M_2M_6$, $ M_8q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_2M_8$, $ \phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_2$ | . | -2 | t^2.05 + t^2.24 + 2*t^2.34 + t^2.44 + t^2.54 + t^2.63 + t^3.37 + t^3.56 + t^4.1 + t^4.3 + 2*t^4.39 + 2*t^4.49 + 4*t^4.59 + 6*t^4.68 + 2*t^4.78 + 5*t^4.88 + 3*t^4.97 + t^5.07 + t^5.17 + t^5.27 + t^5.42 + 2*t^5.61 + t^5.71 + 3*t^5.81 + 2*t^5.9 - 2*t^6. + t^6.15 - 2*t^6.29 + t^6.35 + 2*t^6.44 + 2*t^6.54 + 4*t^6.64 + 8*t^6.73 + 5*t^6.83 + 10*t^6.93 + 10*t^7.03 + 7*t^7.12 + 8*t^7.22 + 6*t^7.32 + 4*t^7.41 + t^7.47 + 3*t^7.51 + 3*t^7.61 + 2*t^7.66 + t^7.7 + t^7.76 + t^7.8 + 4*t^7.86 + t^7.9 + 4*t^7.95 + 2*t^8.05 + 3*t^8.15 + t^8.2 + t^8.24 - 8*t^8.34 + t^8.4 - 2*t^8.44 + 2*t^8.49 - 6*t^8.54 + 2*t^8.59 - 8*t^8.63 + 4*t^8.69 - 2*t^8.73 + 8*t^8.79 - 2*t^8.83 + 5*t^8.88 - 2*t^8.92 + 12*t^8.98 - t^4.22/y - t^6.27/y - t^6.46/y - (2*t^6.56)/y - t^6.76/y - t^6.85/y + t^7.3/y + (2*t^7.39)/y + t^7.49/y + (4*t^7.59)/y + (4*t^7.68)/y + (3*t^7.78)/y + (5*t^7.88)/y + (4*t^7.97)/y + t^8.07/y + (2*t^8.17)/y - t^8.32/y + t^8.42/y - t^8.52/y + t^8.71/y - t^8.81/y - t^8.9/y - t^4.22*y - t^6.27*y - t^6.46*y - 2*t^6.56*y - t^6.76*y - t^6.85*y + t^7.3*y + 2*t^7.39*y + t^7.49*y + 4*t^7.59*y + 4*t^7.68*y + 3*t^7.78*y + 5*t^7.88*y + 4*t^7.97*y + t^8.07*y + 2*t^8.17*y - t^8.32*y + t^8.42*y - t^8.52*y + t^8.71*y - t^8.81*y - t^8.9*y | g1^36*t^2.05 + g1^16*t^2.24 + 2*g1^6*t^2.34 + t^2.44/g1^4 + t^2.54/g1^14 + t^2.63/g1^24 + g1^24*t^3.37 + g1^4*t^3.56 + g1^72*t^4.1 + g1^52*t^4.3 + 2*g1^42*t^4.39 + 2*g1^32*t^4.49 + 4*g1^22*t^4.59 + 6*g1^12*t^4.68 + 2*g1^2*t^4.78 + (5*t^4.88)/g1^8 + (3*t^4.97)/g1^18 + t^5.07/g1^28 + t^5.17/g1^38 + t^5.27/g1^48 + g1^60*t^5.42 + 2*g1^40*t^5.61 + g1^30*t^5.71 + 3*g1^20*t^5.81 + 2*g1^10*t^5.9 - 2*t^6. + g1^108*t^6.15 - (2*t^6.29)/g1^30 + g1^88*t^6.35 + 2*g1^78*t^6.44 + 2*g1^68*t^6.54 + 4*g1^58*t^6.64 + 8*g1^48*t^6.73 + 5*g1^38*t^6.83 + 10*g1^28*t^6.93 + 10*g1^18*t^7.03 + 7*g1^8*t^7.12 + (8*t^7.22)/g1^2 + (6*t^7.32)/g1^12 + (4*t^7.41)/g1^22 + g1^96*t^7.47 + (3*t^7.51)/g1^32 + (3*t^7.61)/g1^42 + 2*g1^76*t^7.66 + t^7.7/g1^52 + g1^66*t^7.76 + t^7.8/g1^62 + 4*g1^56*t^7.86 + t^7.9/g1^72 + 4*g1^46*t^7.95 + 2*g1^36*t^8.05 + 3*g1^26*t^8.15 + g1^144*t^8.2 + g1^16*t^8.24 - 8*g1^6*t^8.34 + g1^124*t^8.4 - (2*t^8.44)/g1^4 + 2*g1^114*t^8.49 - (6*t^8.54)/g1^14 + 2*g1^104*t^8.59 - (8*t^8.63)/g1^24 + 4*g1^94*t^8.69 - (2*t^8.73)/g1^34 + 8*g1^84*t^8.79 - (2*t^8.83)/g1^44 + 5*g1^74*t^8.88 - (2*t^8.92)/g1^54 + 12*g1^64*t^8.98 - t^4.22/(g1^2*y) - (g1^34*t^6.27)/y - (g1^14*t^6.46)/y - (2*g1^4*t^6.56)/y - t^6.76/(g1^16*y) - t^6.85/(g1^26*y) + (g1^52*t^7.3)/y + (2*g1^42*t^7.39)/y + (g1^32*t^7.49)/y + (4*g1^22*t^7.59)/y + (4*g1^12*t^7.68)/y + (3*g1^2*t^7.78)/y + (5*t^7.88)/(g1^8*y) + (4*t^7.97)/(g1^18*y) + t^8.07/(g1^28*y) + (2*t^8.17)/(g1^38*y) - (g1^70*t^8.32)/y + (g1^60*t^8.42)/y - (g1^50*t^8.52)/y + (g1^30*t^8.71)/y - (g1^20*t^8.81)/y - (g1^10*t^8.9)/y - (t^4.22*y)/g1^2 - g1^34*t^6.27*y - g1^14*t^6.46*y - 2*g1^4*t^6.56*y - (t^6.76*y)/g1^16 - (t^6.85*y)/g1^26 + g1^52*t^7.3*y + 2*g1^42*t^7.39*y + g1^32*t^7.49*y + 4*g1^22*t^7.59*y + 4*g1^12*t^7.68*y + 3*g1^2*t^7.78*y + (5*t^7.88*y)/g1^8 + (4*t^7.97*y)/g1^18 + (t^8.07*y)/g1^28 + (2*t^8.17*y)/g1^38 - g1^70*t^8.32*y + g1^60*t^8.42*y - g1^50*t^8.52*y + g1^30*t^8.71*y - g1^20*t^8.81*y - g1^10*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 5956 | $M_1q_1q_2$ + $ 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_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_1$ + $ M_6M_8$ + $ M_4X_2$ | 0.562 | 0.7062 | 0.7958 | [X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 0.8462, 1.0769, 0.6923, 0.9231], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]] | t^2.08 + t^2.31 + 2*t^2.54 + t^2.77 + t^3.23 + t^3.69 + 2*t^4.15 + t^4.38 + 4*t^4.62 + 2*t^4.85 + 5*t^5.08 + 2*t^5.31 + t^5.54 + 2*t^5.77 - 2*t^6. - t^4.15/y - t^4.15*y | detail | {a: 19755/35152, c: 24825/35152, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 11/13, M6: 14/13, M7: 9/13, M8: 12/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13} |
| 5955 | $M_1q_1q_2$ + $ 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_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_1$ + $ M_6^2$ + $ M_4X_2$ | 0.5977 | 0.7505 | 0.7964 | [X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 0.8333, 1.0, 0.7222, 0.8889], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]] | t^2.17 + t^2.33 + 2*t^2.5 + t^2.67 + t^3. + t^3.67 + 2*t^4. + t^4.5 + 4*t^4.67 + 2*t^4.83 + 5*t^5. + 4*t^5.17 + 2*t^5.33 - 2*t^6. - t^4.17/y - t^4.17*y | detail | {a: 6197/10368, c: 7781/10368, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 5/6, M6: 1, M7: 13/18, M8: 8/9, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2410 | 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_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.6706 | 0.85 | 0.789 | [X:[1.5653], M:[0.4347, 1.1884, 0.7827, 0.8693, 0.7827, 0.696, 0.8405], q:[0.7971, 0.7682], qb:[0.4491, 0.3624], phi:[0.4058]] | t^2.09 + 2*t^2.35 + t^2.43 + t^2.52 + t^2.61 + t^3.39 + t^3.57 + t^3.74 + t^4.18 + 2*t^4.44 + t^4.52 + 2*t^4.61 + 5*t^4.7 + t^4.78 + 4*t^4.87 + 3*t^4.96 + t^5.04 + t^5.13 + t^5.22 + t^5.48 + t^5.65 + t^5.74 + 3*t^5.83 + 2*t^5.91 - 2*t^6. - t^4.22/y - t^4.22*y | detail |