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 |
|---|---|---|---|---|---|---|---|---|---|
| 50892 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_4M_5$ + $ M_1M_6$ | 0.6951 | 0.8524 | 0.8155 | [X:[], M:[1.0444, 1.0, 0.9556, 0.9778, 1.0222, 0.9556], q:[0.4889, 0.4667], qb:[0.5111, 0.5555], phi:[0.4944]] | [X:[], M:[[8], [0], [-8], [-4], [4], [-8]], q:[[-2], [-6]], qb:[[2], [10]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_3M_4$, $ M_4M_6$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_3$, $ M_4^2$, $ M_2M_6$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ \phi_1^4$, $ M_2\phi_1^2$ | . | -2 | 2*t^2.87 + t^2.93 + t^2.97 + t^3. + t^3.07 + t^3.2 + t^4.28 + t^4.35 + 2*t^4.42 + t^4.48 + 2*t^4.55 + t^4.62 + t^4.68 + t^4.82 + 2*t^5.73 + t^5.8 + 2*t^5.83 + t^5.87 + t^5.9 + 2*t^5.93 + t^5.97 - 2*t^6. + t^6.03 + t^6.17 + t^6.4 + 2*t^7.15 + 2*t^7.22 + t^7.25 + 4*t^7.28 + 3*t^7.35 + t^7.38 + 4*t^7.42 - t^7.45 + 3*t^7.48 + t^7.52 + 2*t^7.55 - t^7.58 + 2*t^7.62 + 2*t^7.68 - t^7.72 + 2*t^7.75 + t^7.78 + t^7.82 - t^7.85 + 2*t^7.88 + t^8.02 + t^8.57 + 2*t^8.6 + t^8.63 + t^8.67 + 4*t^8.7 + 3*t^8.77 + t^8.8 + 5*t^8.83 - 5*t^8.87 + 5*t^8.9 - 4*t^8.93 + 2*t^8.97 - t^4.48/y - t^7.35/y - t^7.45/y + t^7.52/y + t^7.62/y + t^8.73/y + (2*t^8.8)/y + (2*t^8.83)/y + (2*t^8.87)/y + t^8.9/y + (3*t^8.93)/y + t^8.97/y - t^4.48*y - t^7.35*y - t^7.45*y + t^7.52*y + t^7.62*y + t^8.73*y + 2*t^8.8*y + 2*t^8.83*y + 2*t^8.87*y + t^8.9*y + 3*t^8.93*y + t^8.97*y | (2*t^2.87)/g1^8 + t^2.93/g1^4 + t^2.97/g1^2 + t^3. + g1^4*t^3.07 + g1^12*t^3.2 + t^4.28/g1^13 + t^4.35/g1^9 + (2*t^4.42)/g1^5 + t^4.48/g1 + 2*g1^3*t^4.55 + g1^7*t^4.62 + g1^11*t^4.68 + g1^19*t^4.82 + (2*t^5.73)/g1^16 + t^5.8/g1^12 + (2*t^5.83)/g1^10 + t^5.87/g1^8 + t^5.9/g1^6 + (2*t^5.93)/g1^4 + t^5.97/g1^2 - 2*t^6. + g1^2*t^6.03 + g1^10*t^6.17 + g1^24*t^6.4 + (2*t^7.15)/g1^21 + (2*t^7.22)/g1^17 + t^7.25/g1^15 + (4*t^7.28)/g1^13 + (3*t^7.35)/g1^9 + t^7.38/g1^7 + (4*t^7.42)/g1^5 - t^7.45/g1^3 + (3*t^7.48)/g1 + g1*t^7.52 + 2*g1^3*t^7.55 - g1^5*t^7.58 + 2*g1^7*t^7.62 + 2*g1^11*t^7.68 - g1^13*t^7.72 + 2*g1^15*t^7.75 + g1^17*t^7.78 + g1^19*t^7.82 - g1^21*t^7.85 + 2*g1^23*t^7.88 + g1^31*t^8.02 + t^8.57/g1^26 + (2*t^8.6)/g1^24 + t^8.63/g1^22 + t^8.67/g1^20 + (4*t^8.7)/g1^18 + (3*t^8.77)/g1^14 + t^8.8/g1^12 + (5*t^8.83)/g1^10 - (5*t^8.87)/g1^8 + (5*t^8.9)/g1^6 - (4*t^8.93)/g1^4 + (2*t^8.97)/g1^2 - t^4.48/(g1*y) - t^7.35/(g1^9*y) - t^7.45/(g1^3*y) + (g1*t^7.52)/y + (g1^7*t^7.62)/y + t^8.73/(g1^16*y) + (2*t^8.8)/(g1^12*y) + (2*t^8.83)/(g1^10*y) + (2*t^8.87)/(g1^8*y) + t^8.9/(g1^6*y) + (3*t^8.93)/(g1^4*y) + t^8.97/(g1^2*y) - (t^4.48*y)/g1 - (t^7.35*y)/g1^9 - (t^7.45*y)/g1^3 + g1*t^7.52*y + g1^7*t^7.62*y + (t^8.73*y)/g1^16 + (2*t^8.8*y)/g1^12 + (2*t^8.83*y)/g1^10 + (2*t^8.87*y)/g1^8 + (t^8.9*y)/g1^6 + (3*t^8.93*y)/g1^4 + (t^8.97*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56067 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_4M_5$ + $ M_1M_6$ + $ M_5M_7$ | 0.6975 | 0.8568 | 0.814 | [X:[], M:[1.0571, 1.0, 0.9429, 0.9714, 1.0286, 0.9429, 0.9714], q:[0.4857, 0.4572], qb:[0.5143, 0.5714], phi:[0.4929]] | 2*t^2.83 + 2*t^2.91 + t^2.96 + t^3. + t^3.26 + t^4.22 + t^4.31 + 2*t^4.39 + t^4.48 + 2*t^4.56 + t^4.65 + t^4.74 + t^4.91 + 2*t^5.66 + 3*t^5.74 + 2*t^5.79 + 3*t^5.83 + 2*t^5.87 + t^5.91 + t^5.96 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
| 56065 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_4M_5$ + $ M_1M_6$ + $ M_7\phi_1^2$ | 0.6941 | 0.8507 | 0.816 | [X:[], M:[1.0381, 1.0, 0.9619, 0.981, 1.019, 0.9619, 1.0095], q:[0.4905, 0.4714], qb:[0.5095, 0.5476], phi:[0.4952]] | 2*t^2.89 + t^2.94 + t^3. + t^3.03 + t^3.06 + t^3.17 + t^4.31 + t^4.37 + 2*t^4.43 + t^4.49 + 2*t^4.54 + t^4.6 + t^4.66 + t^4.77 + 2*t^5.77 + t^5.83 + t^5.89 + 2*t^5.91 + t^5.94 + t^5.97 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 56060 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_4M_5$ + $ M_1M_6$ + $ \phi_1\tilde{q}_2^2$ | 0.6469 | 0.8081 | 0.8005 | [X:[], M:[1.2105, 1.0, 0.7895, 0.8947, 1.1053, 0.7895], q:[0.4474, 0.3421], qb:[0.5526, 0.7632], phi:[0.4737]] | 2*t^2.37 + t^2.68 + t^2.84 + t^3. + t^3.32 + t^3.47 + t^3.79 + t^3.95 + 2*t^4.11 + t^4.42 + 4*t^4.74 + 2*t^5.05 + 2*t^5.21 + 2*t^5.37 + t^5.53 + 2*t^5.68 + 3*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | {a: 35499/54872, c: 88687/109744, M1: 23/19, M2: 1, M3: 15/19, M4: 17/19, M5: 21/19, M6: 15/19, q1: 17/38, q2: 13/38, qb1: 21/38, qb2: 29/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47133 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_4M_5$ | 0.6921 | 0.8476 | 0.8165 | [X:[], M:[1.0193, 1.0, 0.9807, 0.9903, 1.0097], q:[0.4952, 0.4855], qb:[0.5048, 0.5242], phi:[0.4976]] | t^2.94 + t^2.97 + t^2.99 + t^3. + t^3.03 + t^3.06 + t^3.09 + t^4.41 + t^4.43 + 2*t^4.46 + t^4.49 + 2*t^4.52 + t^4.55 + t^4.58 + t^4.64 + t^5.93 + t^5.96 + t^5.97 + t^5.99 - t^6. - t^4.49/y - t^4.49*y | detail |