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 |
|---|---|---|---|---|---|---|---|---|---|
| 1059 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ | 0.6382 | 0.7991 | 0.7986 | [X:[], M:[1.0473, 1.1509, 0.7736, 0.7264, 0.8491, 1.0], q:[0.7877, 0.2877], qb:[0.665, 0.5614], phi:[0.4245]] | [X:[], M:[[12], [-4], [6], [-6], [4], [0]], q:[[-1], [-1]], qb:[[-11], [5]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_3M_4$, $ M_3^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_3M_5$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_6$, $ M_4q_1q_2$, $ M_1M_3$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_3q_1q_2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_5q_1q_2$ | . | -2 | t^2.18 + t^2.32 + 2*t^2.55 + t^3. + t^3.14 + t^3.23 + t^4.05 + t^4.13 + 2*t^4.36 + t^4.5 + 2*t^4.64 + 2*t^4.73 + t^4.87 + t^4.95 + 3*t^5.09 + t^5.26 + 2*t^5.32 + t^5.41 + t^5.46 + 3*t^5.55 + t^5.69 + t^5.77 - 2*t^6. + 2*t^6.23 + t^6.28 + t^6.37 + 2*t^6.54 + t^6.59 + 2*t^6.68 + t^6.82 + 2*t^6.91 + t^6.96 + t^7.05 + t^7.13 + 4*t^7.19 + 3*t^7.27 + t^7.36 + t^7.42 + t^7.44 + 2*t^7.5 + t^7.58 + 6*t^7.64 + t^7.73 + 2*t^7.78 + t^7.81 + 3*t^7.87 + t^8.01 + 3*t^8.09 - 3*t^8.18 + t^8.24 + t^8.26 - t^8.32 + t^8.41 + t^8.46 + t^8.49 - 2*t^8.55 + t^8.6 + 2*t^8.69 + 2*t^8.72 + t^8.77 + t^8.83 - t^4.27/y - t^6.45/y - t^6.59/y - t^6.82/y + t^7.13/y - t^7.42/y + t^7.5/y + (3*t^7.73)/y + (2*t^7.87)/y + t^7.95/y + (2*t^8.09)/y + t^8.18/y + (2*t^8.32)/y + t^8.41/y + t^8.46/y + (3*t^8.55)/y - t^8.63/y + (2*t^8.69)/y + t^8.77/y - t^8.92/y - t^4.27*y - t^6.45*y - t^6.59*y - t^6.82*y + t^7.13*y - t^7.42*y + t^7.5*y + 3*t^7.73*y + 2*t^7.87*y + t^7.95*y + 2*t^8.09*y + t^8.18*y + 2*t^8.32*y + t^8.41*y + t^8.46*y + 3*t^8.55*y - t^8.63*y + 2*t^8.69*y + t^8.77*y - t^8.92*y | t^2.18/g1^6 + g1^6*t^2.32 + 2*g1^4*t^2.55 + t^3. + g1^12*t^3.14 + t^3.23/g1^2 + g1^4*t^4.05 + t^4.13/g1^10 + (2*t^4.36)/g1^12 + t^4.5 + 2*g1^12*t^4.64 + (2*t^4.73)/g1^2 + g1^10*t^4.87 + t^4.95/g1^4 + 3*g1^8*t^5.09 + t^5.26/g1^20 + 2*g1^6*t^5.32 + t^5.41/g1^8 + g1^18*t^5.46 + 3*g1^4*t^5.55 + g1^16*t^5.69 + g1^2*t^5.77 - 2*t^6. + (2*t^6.23)/g1^2 + g1^24*t^6.28 + g1^10*t^6.37 + (2*t^6.54)/g1^18 + g1^8*t^6.59 + (2*t^6.68)/g1^6 + g1^6*t^6.82 + (2*t^6.91)/g1^8 + g1^18*t^6.96 + g1^4*t^7.05 + t^7.13/g1^10 + 4*g1^16*t^7.19 + 3*g1^2*t^7.27 + t^7.36/g1^12 + g1^14*t^7.42 + t^7.44/g1^26 + 2*t^7.5 + t^7.58/g1^14 + 6*g1^12*t^7.64 + t^7.73/g1^2 + 2*g1^24*t^7.78 + t^7.81/g1^16 + 3*g1^10*t^7.87 + g1^22*t^8.01 + 3*g1^8*t^8.09 - (3*t^8.18)/g1^6 + g1^20*t^8.24 + t^8.26/g1^20 - g1^6*t^8.32 + t^8.41/g1^8 + g1^18*t^8.46 + t^8.49/g1^22 - 2*g1^4*t^8.55 + g1^30*t^8.6 + 2*g1^16*t^8.69 + (2*t^8.72)/g1^24 + g1^2*t^8.77 + g1^28*t^8.83 - (g1^2*t^4.27)/y - t^6.45/(g1^4*y) - (g1^8*t^6.59)/y - (g1^6*t^6.82)/y + t^7.13/(g1^10*y) - (g1^14*t^7.42)/y + t^7.5/y + (3*t^7.73)/(g1^2*y) + (2*g1^10*t^7.87)/y + t^7.95/(g1^4*y) + (2*g1^8*t^8.09)/y + t^8.18/(g1^6*y) + (2*g1^6*t^8.32)/y + t^8.41/(g1^8*y) + (g1^18*t^8.46)/y + (3*g1^4*t^8.55)/y - t^8.63/(g1^10*y) + (2*g1^16*t^8.69)/y + (g1^2*t^8.77)/y - (g1^14*t^8.92)/y - g1^2*t^4.27*y - (t^6.45*y)/g1^4 - g1^8*t^6.59*y - g1^6*t^6.82*y + (t^7.13*y)/g1^10 - g1^14*t^7.42*y + t^7.5*y + (3*t^7.73*y)/g1^2 + 2*g1^10*t^7.87*y + (t^7.95*y)/g1^4 + 2*g1^8*t^8.09*y + (t^8.18*y)/g1^6 + 2*g1^6*t^8.32*y + (t^8.41*y)/g1^8 + g1^18*t^8.46*y + 3*g1^4*t^8.55*y - (t^8.63*y)/g1^10 + 2*g1^16*t^8.69*y + g1^2*t^8.77*y - g1^14*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 1650 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_1M_3$ + $ M_4X_1$ | 0.6069 | 0.7458 | 0.8138 | [X:[1.3333], M:[1.1667, 1.1111, 0.8333, 0.6667, 0.8889, 1.0], q:[0.7778, 0.2778], qb:[0.5556, 0.6111], phi:[0.4444]] | t^2.5 + 2*t^2.67 + t^3. + t^3.17 + t^3.5 + t^3.83 + 2*t^4. + t^4.17 + t^4.67 + t^4.83 + t^5. + t^5.17 + 3*t^5.33 + t^5.5 + 3*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 1573/2592, c: 1933/2592, X1: 4/3, M1: 7/6, M2: 10/9, M3: 5/6, M4: 2/3, M5: 8/9, M6: 1, q1: 7/9, q2: 5/18, qb1: 5/9, qb2: 11/18, phi1: 4/9} |
| 1648 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_1M_5$ | 0.6338 | 0.7939 | 0.7983 | [X:[], M:[1.125, 1.125, 0.8125, 0.6875, 0.875, 1.0], q:[0.7812, 0.2812], qb:[0.5938, 0.5938], phi:[0.4375]] | t^2.06 + t^2.44 + 2*t^2.62 + t^3. + t^3.19 + t^3.38 + t^3.94 + 3*t^4.12 + t^4.5 + 2*t^4.69 + 4*t^4.88 + t^5.06 + 4*t^5.25 + 2*t^5.44 + 3*t^5.62 + 2*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 83067/131072, c: 104059/131072, M1: 9/8, M2: 9/8, M3: 13/16, M4: 11/16, M5: 7/8, M6: 1, q1: 25/32, q2: 9/32, qb1: 19/32, qb2: 19/32, phi1: 7/16} |
| 1649 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_4q_1q_2$ + $ M_3X_1$ | 0.557 | 0.6976 | 0.7984 | [X:[1.375], M:[0.75, 1.25, 0.625, 0.875, 0.75, 1.0], q:[0.8125, 0.3125], qb:[0.9375, 0.4375], phi:[0.375]] | 3*t^2.25 + t^2.62 + t^3. + t^3.38 + 2*t^3.75 + 5*t^4.5 + 4*t^4.88 + 5*t^5.25 + 4*t^6. - t^4.12/y - t^4.12*y | detail | {a: 4563/8192, c: 5715/8192, X1: 11/8, M1: 3/4, M2: 5/4, M3: 5/8, M4: 7/8, M5: 3/4, M6: 1, q1: 13/16, q2: 5/16, qb1: 15/16, qb2: 7/16, phi1: 3/8} |
| 1647 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_7q_1q_2$ | 0.6452 | 0.8111 | 0.7955 | [X:[], M:[1.037, 1.1543, 0.7685, 0.7315, 0.8457, 1.0, 0.9228], q:[0.7886, 0.2886], qb:[0.6744, 0.5571], phi:[0.4228]] | t^2.19 + t^2.31 + 2*t^2.54 + t^2.77 + t^3. + t^3.11 + t^4.04 + t^4.16 + 2*t^4.39 + t^4.5 + 2*t^4.61 + 2*t^4.73 + t^4.84 + 2*t^4.96 + 4*t^5.07 + 4*t^5.31 + t^5.32 + t^5.42 + 3*t^5.54 + t^5.65 + t^5.88 - 2*t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 663 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ | 0.7021 | 0.8823 | 0.7958 | [X:[], M:[0.9637, 1.1255, 0.9715, 0.6883, 0.8745, 0.6805], q:[0.7814, 0.4411], qb:[0.5951, 0.4334], phi:[0.4372]] | t^2.04 + t^2.06 + 2*t^2.62 + t^2.89 + t^2.91 + t^3.64 + t^3.67 + t^3.91 + t^4.08 + t^4.11 + 2*t^4.13 + t^4.4 + t^4.42 + 2*t^4.66 + 2*t^4.69 + t^4.88 + t^4.93 + 2*t^4.96 + t^4.98 + 3*t^5.25 + t^5.51 + t^5.54 + t^5.69 + 2*t^5.71 + t^5.73 + t^5.78 + t^5.81 + t^5.83 + t^5.95 - 3*t^6. - t^4.31/y - t^4.31*y | detail |