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 |
|---|---|---|---|---|---|---|---|---|---|
| 47041 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ | 0.6779 | 0.8482 | 0.7993 | [X:[], M:[1.1823, 0.9951, 0.8177, 0.8177, 0.7291], q:[0.4089, 0.4089], qb:[0.596, 0.7734], phi:[0.4532]] | [X:[], M:[[2], [-22], [-2], [-2], [8]], q:[[-1], [-1]], qb:[[23], [3]], phi:[[-6]]] | 1 | {a: 93927043/138556848, c: 58758829/69278424, M1: 6026/5097, M2: 5072/5097, M3: 4168/5097, M4: 4168/5097, M5: 3716/5097, q1: 2084/5097, q2: 2084/5097, qb1: 3038/5097, qb2: 1314/1699, phi1: 770/1699} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_4$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ M_4M_5$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_2M_3$, $ M_2M_4$, $ \phi_1^4$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1M_5$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2^2$ | $M_1M_4$, $ M_5\phi_1q_2^2$, $ M_2q_2\tilde{q}_1$ | 0 | t^2.19 + 2*t^2.45 + t^2.72 + t^2.99 + t^3.01 + t^3.55 + 2*t^3.81 + t^4.11 + 3*t^4.37 + 2*t^4.64 + 4*t^4.91 + t^4.94 + 3*t^5.17 + t^5.2 + t^5.44 + 2*t^5.47 + t^5.7 + 2*t^5.73 + t^5.97 + t^6.03 + 3*t^6.27 + t^6.3 + 2*t^6.53 + 3*t^6.56 + 6*t^6.83 + 3*t^7.09 + 2*t^7.12 + 5*t^7.36 + 4*t^7.39 + 6*t^7.63 + 2*t^7.66 + 2*t^7.89 + 4*t^7.92 + t^7.95 + 2*t^8.16 + 2*t^8.19 + t^8.22 + 2*t^8.42 - 3*t^8.45 + 4*t^8.48 + t^8.69 + 2*t^8.72 + 5*t^8.75 + t^8.96 - t^4.36/y - t^6.55/y - t^6.81/y - t^7.08/y - t^7.34/y + t^7.37/y + (3*t^7.64)/y + (3*t^7.91)/y + (4*t^8.17)/y + t^8.2/y + (2*t^8.44)/y + (2*t^8.47)/y + t^8.7/y + t^8.73/y - t^4.36*y - t^6.55*y - t^6.81*y - t^7.08*y - t^7.34*y + t^7.37*y + 3*t^7.64*y + 3*t^7.91*y + 4*t^8.17*y + t^8.2*y + 2*t^8.44*y + 2*t^8.47*y + t^8.7*y + t^8.73*y | g1^8*t^2.19 + (2*t^2.45)/g1^2 + t^2.72/g1^12 + t^2.99/g1^22 + g1^22*t^3.01 + g1^2*t^3.55 + (2*t^3.81)/g1^8 + g1^26*t^4.11 + 3*g1^16*t^4.37 + 2*g1^6*t^4.64 + (4*t^4.91)/g1^4 + g1^40*t^4.94 + (3*t^5.17)/g1^14 + g1^30*t^5.2 + t^5.44/g1^24 + 2*g1^20*t^5.47 + t^5.7/g1^34 + 2*g1^10*t^5.73 + t^5.97/g1^44 + g1^44*t^6.03 + (3*t^6.27)/g1^10 + g1^34*t^6.3 + (2*t^6.53)/g1^20 + 3*g1^24*t^6.56 + 6*g1^14*t^6.83 + 3*g1^4*t^7.09 + 2*g1^48*t^7.12 + (5*t^7.36)/g1^6 + 4*g1^38*t^7.39 + (6*t^7.63)/g1^16 + 2*g1^28*t^7.66 + (2*t^7.89)/g1^26 + 4*g1^18*t^7.92 + g1^62*t^7.95 + (2*t^8.16)/g1^36 + 2*g1^8*t^8.19 + g1^52*t^8.22 + (2*t^8.42)/g1^46 - (3*t^8.45)/g1^2 + 4*g1^42*t^8.48 + t^8.69/g1^56 + (2*t^8.72)/g1^12 + 5*g1^32*t^8.75 + t^8.96/g1^66 - t^4.36/(g1^6*y) - (g1^2*t^6.55)/y - t^6.81/(g1^8*y) - t^7.08/(g1^18*y) - t^7.34/(g1^28*y) + (g1^16*t^7.37)/y + (3*g1^6*t^7.64)/y + (3*t^7.91)/(g1^4*y) + (4*t^8.17)/(g1^14*y) + (g1^30*t^8.2)/y + (2*t^8.44)/(g1^24*y) + (2*g1^20*t^8.47)/y + t^8.7/(g1^34*y) + (g1^10*t^8.73)/y - (t^4.36*y)/g1^6 - g1^2*t^6.55*y - (t^6.81*y)/g1^8 - (t^7.08*y)/g1^18 - (t^7.34*y)/g1^28 + g1^16*t^7.37*y + 3*g1^6*t^7.64*y + (3*t^7.91*y)/g1^4 + (4*t^8.17*y)/g1^14 + g1^30*t^8.2*y + (2*t^8.44*y)/g1^24 + 2*g1^20*t^8.47*y + (t^8.7*y)/g1^34 + g1^10*t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 55339 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_1M_6$ | 0.6933 | 0.8748 | 0.7925 | [X:[], M:[1.1826, 0.9918, 0.8174, 0.8174, 0.7303, 0.8174], q:[0.4087, 0.4087], qb:[0.5995, 0.7739], phi:[0.4523]] | t^2.19 + 3*t^2.45 + t^2.71 + t^2.98 + t^3.02 + 2*t^3.81 + t^4.12 + 3*t^4.38 + 3*t^4.64 + 7*t^4.9 + t^4.95 + 4*t^5.17 + t^5.22 + 2*t^5.43 + 3*t^5.48 + t^5.69 + t^5.74 + t^5.95 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 444199/640712, c: 70064/80089, M1: 1004/849, M2: 842/849, M3: 694/849, M4: 694/849, M5: 620/849, M6: 694/849, q1: 347/849, q2: 347/849, qb1: 509/849, qb2: 219/283, phi1: 128/283} |
| 52057 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_3M_6$ | 0.6625 | 0.8215 | 0.8064 | [X:[], M:[1.182, 0.9984, 0.818, 0.818, 0.7278, 1.182], q:[0.409, 0.409], qb:[0.5925, 0.7729], phi:[0.4541]] | t^2.18 + t^2.45 + t^2.72 + 2*t^3. + 2*t^3.55 + 2*t^3.82 + t^4.1 + 3*t^4.37 + t^4.64 + 2*t^4.91 + t^4.92 + 2*t^5.18 + t^5.19 + t^5.46 + t^5.72 + 3*t^5.73 + t^5.99 - t^4.36/y - t^4.36*y | detail | {a: 5744057/8670000, c: 7122757/8670000, M1: 1507/1275, M2: 1273/1275, M3: 1043/1275, M4: 1043/1275, M5: 928/1275, M6: 1507/1275, q1: 1043/2550, q2: 1043/2550, qb1: 1511/2550, qb2: 657/850, phi1: 193/425} |
| 55125 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_5M_6$ | 0.6581 | 0.8113 | 0.8112 | [X:[], M:[1.1829, 0.9884, 0.8171, 0.8171, 0.7315, 1.2685], q:[0.4086, 0.4086], qb:[0.6031, 0.7743], phi:[0.4514]] | 2*t^2.45 + t^2.71 + t^2.97 + t^3.03 + t^3.55 + 3*t^3.81 + t^4.13 + 2*t^4.39 + 3*t^4.9 + t^4.97 + 2*t^5.16 + t^5.42 + 2*t^5.49 + t^5.67 + t^5.74 + t^5.93 - 2*t^6. - t^4.35/y - t^4.35*y | detail | {a: 781921/1188100, c: 963951/1188100, M1: 1934/1635, M2: 1616/1635, M3: 1336/1635, M4: 1336/1635, M5: 1196/1635, M6: 2074/1635, q1: 668/1635, q2: 668/1635, qb1: 986/1635, qb2: 422/545, phi1: 246/545} |
| 54902 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_2^2$ | 0.6977 | 0.8853 | 0.7881 | [X:[], M:[1.1817, 1.0013, 0.8183, 0.8183, 0.7268, 0.7268], q:[0.4092, 0.4092], qb:[0.5895, 0.7725], phi:[0.4549]] | 2*t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.55 + t^3.82 + t^4.09 + 5*t^4.36 + 4*t^4.64 + t^4.9 + 5*t^4.91 + 6*t^5.18 + 2*t^5.45 + t^5.46 + 4*t^5.73 + t^5.99 - t^4.36/y - t^4.36*y | detail | {a: 52048525/74596056, c: 8255182/9324507, M1: 6250/5289, M2: 5296/5289, M3: 4328/5289, M4: 4328/5289, M5: 3844/5289, M6: 3844/5289, q1: 2164/5289, q2: 2164/5289, qb1: 3118/5289, qb2: 1362/1763, phi1: 802/1763} |
| 55133 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1^2$ | 0.67 | 0.8364 | 0.8011 | [X:[], M:[1.1799, 1.0216, 0.8201, 0.8201, 0.7194, 1.0791], q:[0.4101, 0.4101], qb:[0.5683, 0.7698], phi:[0.4604]] | t^2.16 + 2*t^2.46 + t^2.94 + t^3.06 + t^3.24 + t^3.54 + 2*t^3.84 + t^4.01 + 3*t^4.32 + 2*t^4.62 + t^4.79 + 3*t^4.92 + t^5.09 + t^5.22 + 3*t^5.4 + 3*t^5.7 + t^5.87 - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46708 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ | 0.6816 | 0.8525 | 0.7995 | [X:[], M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.14 + t^2.3 + t^2.52 + t^2.68 + t^3.07 + t^3.16 + t^3.48 + t^3.64 + t^4.09 + t^4.11 + 2*t^4.27 + t^4.43 + t^4.5 + t^4.59 + t^4.66 + 2*t^4.82 + t^4.91 + t^4.98 + t^5.05 + 2*t^5.21 + t^5.29 + t^5.36 + t^5.45 + t^5.61 + t^5.68 + t^5.75 + t^5.77 + t^5.84 + t^5.93 - 2*t^6. - t^4.34/y - t^4.34*y | detail |