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 |
|---|---|---|---|---|---|---|---|---|---|
| 54902 | 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$ + $ 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]] | [X:[], M:[[2], [-22], [-2], [-2], [8], [8]], q:[[-1], [-1]], qb:[[23], [3]], phi:[[-6]]] | 1 | {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} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_3$, $ M_4$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ M_1$, $ \phi_1q_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ M_4M_5$, $ M_3M_6$, $ M_4M_6$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_1M_5$, $ M_1M_6$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$ | $M_1M_4$, $ M_6\phi_1q_1^2$, $ M_2q_2\tilde{q}_1$ | 0 | 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^6.01 + 3*t^6.27 + 8*t^6.54 + t^6.55 + 8*t^6.82 + 3*t^7.08 + 8*t^7.09 + 14*t^7.36 + 4*t^7.63 + 5*t^7.64 + t^7.9 + 9*t^7.91 + 2*t^8.17 - t^8.18 + 3*t^8.19 + 2*t^8.45 + 2*t^8.46 + 12*t^8.72 - t^8.73 + t^8.74 + 2*t^8.99 - t^4.36/y - (2*t^6.55)/y - t^6.82/y - t^7.09/y + (2*t^7.36)/y - t^7.37/y + (5*t^7.64)/y + (4*t^7.91)/y + (8*t^8.18)/y + (2*t^8.45)/y + (2*t^8.46)/y + t^8.73/y - t^4.36*y - 2*t^6.55*y - t^6.82*y - t^7.09*y + 2*t^7.36*y - t^7.37*y + 5*t^7.64*y + 4*t^7.91*y + 8*t^8.18*y + 2*t^8.45*y + 2*t^8.46*y + t^8.73*y | 2*g1^8*t^2.18 + (2*t^2.45)/g1^2 + t^2.73/g1^12 + t^3./g1^22 + g1^22*t^3. + g1^2*t^3.55 + t^3.82/g1^8 + g1^26*t^4.09 + 5*g1^16*t^4.36 + 4*g1^6*t^4.64 + g1^40*t^4.9 + (5*t^4.91)/g1^4 + (4*t^5.18)/g1^14 + 2*g1^30*t^5.18 + 2*g1^20*t^5.45 + t^5.46/g1^24 + t^5.73/g1^34 + 3*g1^10*t^5.73 + g1^44*t^5.99 + t^6.01/g1^44 + t^6.27/g1^10 + 2*g1^34*t^6.27 + 8*g1^24*t^6.54 + t^6.55/g1^20 - t^6.82/g1^30 + 9*g1^14*t^6.82 + 3*g1^48*t^7.08 + 8*g1^4*t^7.09 + (8*t^7.36)/g1^6 + 6*g1^38*t^7.36 + 4*g1^28*t^7.63 + (5*t^7.64)/g1^16 + g1^62*t^7.9 + (3*t^7.91)/g1^26 + 6*g1^18*t^7.91 + 2*g1^52*t^8.17 - g1^8*t^8.18 + (3*t^8.19)/g1^36 - (4*t^8.45)/g1^2 + 6*g1^42*t^8.45 + (2*t^8.46)/g1^46 + 12*g1^32*t^8.72 - t^8.73/g1^12 + t^8.74/g1^56 + 2*g1^66*t^8.99 - t^4.36/(g1^6*y) - (2*g1^2*t^6.55)/y - t^6.82/(g1^8*y) - t^7.09/(g1^18*y) + (2*g1^16*t^7.36)/y - t^7.37/(g1^28*y) + (5*g1^6*t^7.64)/y + (4*t^7.91)/(g1^4*y) + (6*t^8.18)/(g1^14*y) + (2*g1^30*t^8.18)/y + (2*g1^20*t^8.45)/y + (2*t^8.46)/(g1^24*y) + t^8.73/(g1^34*y) - (t^4.36*y)/g1^6 - 2*g1^2*t^6.55*y - (t^6.82*y)/g1^8 - (t^7.09*y)/g1^18 + 2*g1^16*t^7.36*y - (t^7.37*y)/g1^28 + 5*g1^6*t^7.64*y + (4*t^7.91*y)/g1^4 + (6*t^8.18*y)/g1^14 + 2*g1^30*t^8.18*y + 2*g1^20*t^8.45*y + (2*t^8.46*y)/g1^24 + (t^8.73*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56623 | $M_1q_1q_2$ + $ 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$ + $ M_1M_7$ | 0.7131 | 0.9119 | 0.782 | [X:[], M:[1.182, 0.9981, 0.818, 0.818, 0.728, 0.728, 0.818], q:[0.409, 0.409], qb:[0.5929, 0.773], phi:[0.454]] | 2*t^2.18 + 3*t^2.45 + t^2.72 + t^2.99 + t^3.01 + t^3.82 + t^4.1 + 5*t^4.37 + 6*t^4.64 + 8*t^4.91 + t^4.92 + 5*t^5.18 + 2*t^5.19 + 2*t^5.45 + 3*t^5.46 + t^5.72 + t^5.73 + t^5.99 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 26566873/37255728, c: 16985839/18627864, M1: 3124/2643, M2: 2638/2643, M3: 2162/2643, M4: 2162/2643, M5: 1924/2643, M6: 1924/2643, M7: 2162/2643, q1: 1081/2643, q2: 1081/2643, qb1: 1567/2643, qb2: 681/881, phi1: 400/881} |
| 56624 | $M_1q_1q_2$ + $ 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$ + $ M_7\phi_1q_1^2$ | 0.7176 | 0.9228 | 0.7777 | [X:[], M:[1.1812, 1.0071, 0.8188, 0.8188, 0.7247, 0.7247, 0.7247], q:[0.4094, 0.4094], qb:[0.5835, 0.7718], phi:[0.4565]] | 3*t^2.17 + 2*t^2.46 + t^2.74 + t^2.98 + t^3.02 + t^3.54 + t^4.07 + 8*t^4.35 + 6*t^4.63 + t^4.87 + 6*t^4.91 + 3*t^5.15 + 5*t^5.2 + 2*t^5.44 + t^5.48 + 4*t^5.72 + t^5.76 + t^5.96 - 2*t^6. - t^4.37/y - t^4.37*y | detail | {a: 4258595/5934096, c: 2737993/2967048, M1: 2158/1827, M2: 1840/1827, M3: 1496/1827, M4: 1496/1827, M5: 1324/1827, M6: 1324/1827, M7: 1324/1827, q1: 748/1827, q2: 748/1827, qb1: 1066/1827, qb2: 470/609, phi1: 278/609} |
| 56618 | $M_1q_1q_2$ + $ 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$ + $ M_7\phi_1^2$ | 0.6901 | 0.8745 | 0.7891 | [X:[], M:[1.1794, 1.0269, 0.8206, 0.8206, 0.7175, 0.7175, 1.0762], q:[0.4103, 0.4103], qb:[0.5628, 0.7691], phi:[0.4619]] | 2*t^2.15 + 2*t^2.46 + t^2.92 + t^3.08 + t^3.23 + t^3.54 + t^3.85 + t^4. + 5*t^4.3 + 4*t^4.61 + t^4.76 + 3*t^4.92 + 2*t^5.07 + 2*t^5.23 + 4*t^5.38 + 4*t^5.69 + t^5.84 - t^4.39/y - t^4.39*y | detail | |
| 56621 | $M_1q_1q_2$ + $ 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$ + $ M_7q_2\tilde{q}_1$ | 0.7 | 0.8875 | 0.7887 | [X:[], M:[1.1863, 0.9506, 0.8137, 0.8137, 0.7452, 0.7452, 0.9506], q:[0.4068, 0.4068], qb:[0.6426, 0.7795], phi:[0.4411]] | 2*t^2.24 + 2*t^2.44 + t^2.65 + 2*t^2.85 + t^3.56 + t^3.76 + t^4.27 + 5*t^4.47 + 4*t^4.68 + 5*t^4.88 + 6*t^5.09 + t^5.18 + 3*t^5.29 + 2*t^5.5 + 3*t^5.7 + 2*t^5.79 - t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.36/y - t^4.36*y | detail | {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} |