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 |
|---|---|---|---|---|---|---|---|---|---|
| 3204 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ | 0.6699 | 0.849 | 0.7891 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 0.8108], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 271461/405224, c: 172009/202612, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 30/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_6$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_3$, $ M_2M_6$, $ M_3^2$, $ M_2M_5$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_2\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_2M_4$, $ \phi_1^2q_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_6$, $ \phi_1^4$ | . | -1 | t^2.27 + 2*t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + 2*t^4.7 + 4*t^4.86 + 3*t^5.03 + 4*t^5.19 + 3*t^5.35 + 2*t^5.51 + t^5.68 + t^5.84 - t^6. + t^6.16 + 4*t^6.32 + 5*t^6.49 + 5*t^6.65 + 5*t^6.81 + 4*t^6.97 + 3*t^7.14 + 5*t^7.3 + 5*t^7.46 + 6*t^7.62 + 8*t^7.78 + 6*t^7.95 + 5*t^8.11 + 2*t^8.27 - 2*t^8.43 + 3*t^8.76 + 6*t^8.92 - t^4.46/y - t^6.73/y - t^6.89/y - t^7.38/y + t^7.54/y + (2*t^7.7)/y + (2*t^7.86)/y + (4*t^8.03)/y + (4*t^8.19)/y + (3*t^8.35)/y + t^8.51/y + (2*t^8.68)/y + (2*t^8.84)/y - t^4.46*y - t^6.73*y - t^6.89*y - t^7.38*y + t^7.54*y + 2*t^7.7*y + 2*t^7.86*y + 4*t^8.03*y + 4*t^8.19*y + 3*t^8.35*y + t^8.51*y + 2*t^8.68*y + 2*t^8.84*y | t^2.27 + 2*t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + 2*t^4.7 + 4*t^4.86 + 3*t^5.03 + 4*t^5.19 + 3*t^5.35 + 2*t^5.51 + t^5.68 + t^5.84 - t^6. + t^6.16 + 4*t^6.32 + 5*t^6.49 + 5*t^6.65 + 5*t^6.81 + 4*t^6.97 + 3*t^7.14 + 5*t^7.3 + 5*t^7.46 + 6*t^7.62 + 8*t^7.78 + 6*t^7.95 + 5*t^8.11 + 2*t^8.27 - 2*t^8.43 + 3*t^8.76 + 6*t^8.92 - t^4.46/y - t^6.73/y - t^6.89/y - t^7.38/y + t^7.54/y + (2*t^7.7)/y + (2*t^7.86)/y + (4*t^8.03)/y + (4*t^8.19)/y + (3*t^8.35)/y + t^8.51/y + (2*t^8.68)/y + (2*t^8.84)/y - t^4.46*y - t^6.73*y - t^6.89*y - t^7.38*y + t^7.54*y + 2*t^7.7*y + 2*t^7.86*y + 4*t^8.03*y + 4*t^8.19*y + 3*t^8.35*y + t^8.51*y + 2*t^8.68*y + 2*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 5087 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2M_7$ | 0.6511 | 0.815 | 0.799 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 0.8108, 1.2432], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | 2*t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + 2*t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + 3*t^4.86 + 2*t^5.03 + 3*t^5.19 + 3*t^5.35 + 2*t^5.51 + t^5.84 - 2*t^6. - t^4.46/y - t^4.46*y | detail | {a: 527721/810448, c: 330257/405224, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 30/37, M7: 46/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| 5090 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_7\phi_1q_1q_2$ | 0.6904 | 0.888 | 0.7774 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 0.8108, 0.7027], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | t^2.11 + t^2.27 + 2*t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + t^3.73 + 2*t^4.05 + 2*t^4.22 + 2*t^4.38 + 3*t^4.54 + 3*t^4.7 + 5*t^4.86 + 4*t^5.03 + 4*t^5.19 + 3*t^5.35 + 3*t^5.51 + t^5.68 + 2*t^5.84 - t^6. - t^4.46/y - t^4.46*y | detail | {a: 559521/810448, c: 359847/405224, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 30/37, M7: 26/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| 5089 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_7\phi_1q_2^2$ | 0.6887 | 0.8829 | 0.78 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 0.8108, 0.7568], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | 2*t^2.27 + 2*t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + 3*t^4.54 + 4*t^4.7 + 5*t^4.86 + 4*t^5.03 + 5*t^5.19 + 3*t^5.35 + 2*t^5.51 + 2*t^5.68 + t^5.84 - 2*t^6. - t^4.46/y - t^4.46*y | detail | {a: 558123/810448, c: 357779/405224, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 30/37, M7: 28/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2107 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ \phi_1\tilde{q}_1^2$ | 0.6707 | 0.8503 | 0.7887 | [X:[], M:[1.1963, 0.7324, 0.8037, 1.1251, 0.8749, 0.8037], q:[0.4374, 0.3662], qb:[0.7589, 0.5087], phi:[0.4822]] | t^2.2 + 2*t^2.41 + t^2.62 + t^2.84 + t^2.89 + t^3.38 + t^3.64 + t^3.86 + 2*t^4.07 + t^4.28 + t^4.39 + t^4.5 + 2*t^4.61 + 4*t^4.82 + 3*t^5.04 + t^5.09 + 3*t^5.25 + 2*t^5.3 + t^5.46 + t^5.52 + t^5.68 + t^5.73 + t^5.79 + t^5.84 - 2*t^6. - t^4.45/y - t^4.45*y | detail |