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 |
|---|---|---|---|---|---|---|---|---|---|
| 2421 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6573 | 0.8878 | 0.7404 | [X:[], M:[0.9247, 1.2259, 0.7741, 0.7741, 0.6882, 0.7741, 0.8388], q:[0.7312, 0.3441], qb:[0.3441, 0.43], phi:[0.5376]] | [X:[], M:[[4], [-12], [12], [12], [-10], [12], [-18]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ M_3$, $ M_4$, $ M_6$, $ q_2\tilde{q}_2$, $ M_7$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_4M_5$, $ M_5M_6$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5M_7$, $ M_7q_2\tilde{q}_1$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ M_3M_7$, $ M_4M_7$, $ M_6M_7$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_7^2$, $ M_1M_3$, $ M_1M_4$, $ M_1M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_7$, $ M_5\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_7\phi_1^2$, $ M_7q_1\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$ | $M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 1 | 2*t^2.06 + 4*t^2.32 + t^2.52 + t^2.77 + 2*t^3.23 + t^3.68 + t^3.94 + 3*t^4.13 + t^4.19 + 8*t^4.39 + 2*t^4.58 + 10*t^4.64 + 6*t^4.84 + t^5.03 + 4*t^5.1 + 5*t^5.29 + 8*t^5.55 + 2*t^5.74 + t^6. + 5*t^6.19 + 3*t^6.26 + 12*t^6.45 + 4*t^6.52 + 3*t^6.65 + 19*t^6.71 + 10*t^6.9 + 20*t^6.97 + 2*t^7.1 + 14*t^7.16 + 10*t^7.36 + 10*t^7.42 + t^7.55 + 13*t^7.61 + 4*t^7.81 + 16*t^7.87 + t^8.06 + t^8.13 + 7*t^8.26 - 5*t^8.32 + t^8.39 + 13*t^8.52 + 6*t^8.58 + 5*t^8.71 + 20*t^8.77 + 10*t^8.84 + 11*t^8.97 - t^4.61/y - t^6.68/y - (2*t^6.94)/y + (8*t^7.39)/y + (2*t^7.58)/y + (6*t^7.64)/y + (6*t^7.84)/y + (5*t^8.1)/y + (7*t^8.29)/y + (9*t^8.55)/y + (3*t^8.74)/y - t^4.61*y - t^6.68*y - 2*t^6.94*y + 8*t^7.39*y + 2*t^7.58*y + 6*t^7.64*y + 6*t^7.84*y + 5*t^8.1*y + 7*t^8.29*y + 9*t^8.55*y + 3*t^8.74*y | (2*t^2.06)/g1^10 + 4*g1^12*t^2.32 + t^2.52/g1^18 + g1^4*t^2.77 + (2*t^3.23)/g1^4 + t^3.68/g1^12 + g1^10*t^3.94 + (3*t^4.13)/g1^20 + g1^32*t^4.19 + 8*g1^2*t^4.39 + (2*t^4.58)/g1^28 + 10*g1^24*t^4.64 + (6*t^4.84)/g1^6 + t^5.03/g1^36 + 4*g1^16*t^5.1 + (5*t^5.29)/g1^14 + 8*g1^8*t^5.55 + (2*t^5.74)/g1^22 + t^6. + (5*t^6.19)/g1^30 + 3*g1^22*t^6.26 + (12*t^6.45)/g1^8 + 4*g1^44*t^6.52 + (3*t^6.65)/g1^38 + 19*g1^14*t^6.71 + (10*t^6.9)/g1^16 + 20*g1^36*t^6.97 + (2*t^7.1)/g1^46 + 14*g1^6*t^7.16 + (10*t^7.36)/g1^24 + 10*g1^28*t^7.42 + t^7.55/g1^54 + (13*t^7.61)/g1^2 + (4*t^7.81)/g1^32 + 16*g1^20*t^7.87 + t^8.06/g1^10 + g1^42*t^8.13 + (7*t^8.26)/g1^40 - 5*g1^12*t^8.32 + g1^64*t^8.39 + (13*t^8.52)/g1^18 + 6*g1^34*t^8.58 + (5*t^8.71)/g1^48 + 20*g1^4*t^8.77 + 10*g1^56*t^8.84 + (11*t^8.97)/g1^26 - t^4.61/(g1^2*y) - t^6.68/(g1^12*y) - (2*g1^10*t^6.94)/y + (8*g1^2*t^7.39)/y + (2*t^7.58)/(g1^28*y) + (6*g1^24*t^7.64)/y + (6*t^7.84)/(g1^6*y) + (5*g1^16*t^8.1)/y + (7*t^8.29)/(g1^14*y) + (9*g1^8*t^8.55)/y + (3*t^8.74)/(g1^22*y) - (t^4.61*y)/g1^2 - (t^6.68*y)/g1^12 - 2*g1^10*t^6.94*y + 8*g1^2*t^7.39*y + (2*t^7.58*y)/g1^28 + 6*g1^24*t^7.64*y + (6*t^7.84*y)/g1^6 + 5*g1^16*t^8.1*y + (7*t^8.29*y)/g1^14 + 9*g1^8*t^8.55*y + (3*t^8.74*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4464 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.678 | 0.928 | 0.7306 | [X:[], M:[0.9252, 1.2244, 0.7756, 0.7756, 0.687, 0.7756, 0.8366, 0.687], q:[0.7313, 0.3435], qb:[0.3435, 0.4321], phi:[0.5374]] | 3*t^2.06 + 4*t^2.33 + t^2.51 + t^2.78 + 2*t^3.22 + t^3.67 + 6*t^4.12 + t^4.2 + 12*t^4.39 + 3*t^4.57 + 10*t^4.65 + 7*t^4.84 + t^5.02 + 4*t^5.1 + 7*t^5.29 + 8*t^5.55 + 3*t^5.73 - t^6. - t^4.61/y - t^4.61*y | detail | |
| 4463 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6754 | 0.9209 | 0.7334 | [X:[], M:[0.9222, 1.2333, 0.7667, 0.7667, 0.6944, 0.7667, 0.8499, 0.7667], q:[0.7306, 0.3472], qb:[0.3472, 0.4196], phi:[0.5389]] | 2*t^2.08 + 5*t^2.3 + t^2.55 + t^2.77 + 2*t^3.23 + t^3.92 + t^4.13 + 3*t^4.17 + 10*t^4.38 + 15*t^4.6 + 2*t^4.63 + 7*t^4.85 + 5*t^5.07 + t^5.1 + 5*t^5.32 + 10*t^5.53 - 3*t^6. - t^4.62/y - t^4.62*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1365 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6444 | 0.8674 | 0.7428 | [X:[], M:[0.9187, 1.244, 0.756, 0.756, 0.7033, 0.756], q:[0.7297, 0.3517], qb:[0.3517, 0.4044], phi:[0.5407]] | 2*t^2.11 + 4*t^2.27 + t^2.76 + 2*t^3.24 + t^3.4 + t^3.73 + t^3.89 + t^4.05 + 3*t^4.22 + 8*t^4.38 + 10*t^4.54 + 2*t^4.87 + 4*t^5.02 + 4*t^5.35 + 10*t^5.51 + 4*t^5.67 + t^6. - t^4.62/y - t^4.62*y | detail |