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 |
|---|---|---|---|---|---|---|---|---|---|
| 47256 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ | 0.6577 | 0.8161 | 0.8059 | [X:[], M:[0.9156, 1.1325, 1.1004, 0.8675, 0.6987], q:[0.5262, 0.5582], qb:[0.3414, 0.7751], phi:[0.4498]] | [X:[], M:[[-10], [-8], [4], [8], [-12]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ M_4M_5$, $ \phi_1q_2^2$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_4^2$, $ M_4\phi_1^2$, $ M_3M_5$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_2M_5$, $ M_4\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.1 + t^2.6 + t^2.7 + t^2.75 + t^3.3 + t^3.35 + t^3.4 + t^3.95 + t^4. + t^4.05 + t^4.19 + t^4.51 + t^4.6 + 2*t^4.7 + t^4.79 + t^4.84 + t^5.21 + t^5.3 + 2*t^5.4 + t^5.45 + 2*t^5.49 + t^5.95 - t^6. + 2*t^6.05 + 2*t^6.1 + 2*t^6.14 + t^6.29 + t^6.6 + 2*t^6.7 + 2*t^6.75 + 3*t^6.79 + t^6.89 + t^6.94 + t^7.11 + t^7.21 + 2*t^7.3 + t^7.35 + 3*t^7.4 + t^7.45 + 2*t^7.49 + t^7.54 + 2*t^7.59 + t^7.81 + t^7.9 + t^8. + t^8.05 + t^8.1 + 2*t^8.14 + 2*t^8.19 + 3*t^8.24 + t^8.38 + t^8.46 + t^8.55 - 2*t^8.6 - t^8.75 + 2*t^8.79 + 3*t^8.84 + 4*t^8.89 + t^8.99 - t^4.35/y - t^6.45/y - t^7.1/y + t^7.6/y + t^7.7/y + t^7.79/y + t^7.84/y + t^8.25/y + t^8.3/y + t^8.35/y + t^8.4/y + (2*t^8.45)/y + t^8.49/y - t^8.54/y + t^8.9/y + t^8.95/y - t^4.35*y - t^6.45*y - t^7.1*y + t^7.6*y + t^7.7*y + t^7.79*y + t^7.84*y + t^8.25*y + t^8.3*y + t^8.35*y + t^8.4*y + 2*t^8.45*y + t^8.49*y - t^8.54*y + t^8.9*y + t^8.95*y | t^2.1/g1^12 + g1^8*t^2.6 + t^2.7/g1^4 + t^2.75/g1^10 + g1^4*t^3.3 + t^3.35/g1^2 + t^3.4/g1^8 + g1^6*t^3.95 + t^4. + t^4.05/g1^6 + t^4.19/g1^24 + g1^20*t^4.51 + g1^8*t^4.6 + (2*t^4.7)/g1^4 + t^4.79/g1^16 + t^4.84/g1^22 + g1^16*t^5.21 + g1^4*t^5.3 + (2*t^5.4)/g1^8 + t^5.45/g1^14 + (2*t^5.49)/g1^20 + g1^6*t^5.95 - t^6. + (2*t^6.05)/g1^6 + (2*t^6.1)/g1^12 + (2*t^6.14)/g1^18 + t^6.29/g1^36 + g1^8*t^6.6 + (2*t^6.7)/g1^4 + (2*t^6.75)/g1^10 + (3*t^6.79)/g1^16 + t^6.89/g1^28 + t^6.94/g1^34 + g1^28*t^7.11 + g1^16*t^7.21 + 2*g1^4*t^7.3 + t^7.35/g1^2 + (3*t^7.4)/g1^8 + t^7.45/g1^14 + (2*t^7.49)/g1^20 + t^7.54/g1^26 + (2*t^7.59)/g1^32 + g1^24*t^7.81 + g1^12*t^7.9 + t^8. + t^8.05/g1^6 + t^8.1/g1^12 + (2*t^8.14)/g1^18 + (2*t^8.19)/g1^24 + (3*t^8.24)/g1^30 + t^8.38/g1^48 + g1^26*t^8.46 + g1^14*t^8.55 - 2*g1^8*t^8.6 - t^8.75/g1^10 + (2*t^8.79)/g1^16 + (3*t^8.84)/g1^22 + (4*t^8.89)/g1^28 + t^8.99/g1^40 - t^4.35/(g1^2*y) - t^6.45/(g1^14*y) - t^7.1/(g1^12*y) + (g1^8*t^7.6)/y + t^7.7/(g1^4*y) + t^7.79/(g1^16*y) + t^7.84/(g1^22*y) + (g1^10*t^8.25)/y + (g1^4*t^8.3)/y + t^8.35/(g1^2*y) + t^8.4/(g1^8*y) + (2*t^8.45)/(g1^14*y) + t^8.49/(g1^20*y) - t^8.54/(g1^26*y) + (g1^12*t^8.9)/y + (g1^6*t^8.95)/y - (t^4.35*y)/g1^2 - (t^6.45*y)/g1^14 - (t^7.1*y)/g1^12 + g1^8*t^7.6*y + (t^7.7*y)/g1^4 + (t^7.79*y)/g1^16 + (t^7.84*y)/g1^22 + g1^10*t^8.25*y + g1^4*t^8.3*y + (t^8.35*y)/g1^2 + (t^8.4*y)/g1^8 + (2*t^8.45*y)/g1^14 + (t^8.49*y)/g1^20 - (t^8.54*y)/g1^26 + g1^12*t^8.9*y + g1^6*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 55596 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_5$ | 0.61 | 0.7596 | 0.803 | [X:[], M:[1.0909, 1.2727, 1.0303, 0.7273, 0.9091], q:[0.3333, 0.5758], qb:[0.3939, 0.7576], phi:[0.4848]] | t^2.18 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + 2*t^3.45 + t^3.64 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + 2*t^4.91 + t^5.09 + t^5.45 + 3*t^5.64 + 2*t^5.82 - t^4.45/y - t^4.45*y | detail | {a: 38971/63888, c: 24265/31944, M1: 12/11, M2: 14/11, M3: 34/33, M4: 8/11, M5: 10/11, q1: 1/3, q2: 19/33, qb1: 13/33, qb2: 25/33, phi1: 16/33} |
| 55624 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_6$ | 0.6513 | 0.8048 | 0.8093 | [X:[], M:[0.9449, 1.1559, 1.0887, 0.8441, 0.7339, 1.0551], q:[0.494, 0.5612], qb:[0.3501, 0.7722], phi:[0.4556]] | t^2.2 + t^2.53 + t^2.73 + t^3.17 + t^3.27 + t^3.37 + t^3.47 + t^3.9 + t^4. + t^4.1 + t^4.33 + t^4.4 + t^4.53 + 2*t^4.73 + t^4.94 + t^5.06 + t^5.27 + 2*t^5.47 + t^5.67 + t^5.7 + 2*t^5.9 - t^6. - t^4.37/y - t^4.37*y | detail | |
| 55564 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_1\phi_1^2$ | 0.6306 | 0.7824 | 0.806 | [X:[], M:[1.0476, 1.2381, 1.0476, 0.7619, 0.8571], q:[0.381, 0.5714], qb:[0.381, 0.7619], phi:[0.4762]] | t^2.29 + t^2.57 + t^2.86 + 2*t^3.14 + t^3.43 + 3*t^3.71 + t^4. + 2*t^4.29 + t^4.57 + 2*t^4.86 + 2*t^5.14 + t^5.43 + 4*t^5.71 + t^6. - t^4.43/y - t^4.43*y | detail | {a: 3461/5488, c: 2147/2744, M1: 22/21, M2: 26/21, M3: 22/21, M4: 16/21, M5: 6/7, q1: 8/21, q2: 4/7, qb1: 8/21, qb2: 16/21, phi1: 10/21} |
| 50936 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_1^2$ | 0.6467 | 0.8008 | 0.8075 | [X:[], M:[1.0, 1.2, 1.0667, 0.8, 0.8], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | 2*t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 2*t^5.2 + t^5.4 + 2*t^5.6 + 2*t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 97/150, c: 961/1200, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
| 55617 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1^2$ | 0.6488 | 0.8006 | 0.8104 | [X:[], M:[0.9267, 1.1413, 1.096, 0.8587, 0.712, 1.096], q:[0.514, 0.5593], qb:[0.3447, 0.774], phi:[0.452]] | t^2.14 + t^2.58 + t^2.78 + 2*t^3.29 + t^3.36 + t^3.42 + t^3.93 + t^4. + t^4.07 + t^4.27 + t^4.44 + t^4.58 + 2*t^4.71 + t^4.92 + t^5.15 + 2*t^5.42 + 2*t^5.56 + t^5.86 + t^5.93 - 2*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46699 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ | 0.6373 | 0.7771 | 0.8201 | [X:[], M:[0.9242, 1.1394, 1.097, 0.8606], q:[0.5167, 0.5591], qb:[0.3439, 0.7742], phi:[0.4515]] | t^2.58 + t^2.71 + t^2.77 + t^3.29 + t^3.35 + t^3.42 + t^3.87 + t^3.94 + t^4. + t^4.06 + t^4.45 + t^4.58 + t^4.71 + t^5.16 + t^5.29 + t^5.42 + t^5.55 + t^5.94 - t^6. - t^4.35/y - t^4.35*y | detail |