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 |
|---|---|---|---|---|---|---|---|---|---|
| 1845 | 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_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ | 0.6577 | 0.8161 | 0.8059 | [X:[], M:[1.1325, 1.1004, 0.9156, 0.8675, 0.6987], q:[0.7751, 0.3414], qb:[0.5262, 0.5582], phi:[0.4498]] | [X:[], M:[[8], [-4], [10], [-8], [12]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_1q_2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_3M_5$, $ M_4^2$, $ M_4\phi_1^2$, $ M_2M_5$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_5q_1q_2$, $ M_3^2$, $ M_1M_5$, $ M_4q_1q_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 | g1^12*t^2.1 + t^2.6/g1^8 + g1^4*t^2.7 + g1^10*t^2.75 + t^3.3/g1^4 + g1^2*t^3.35 + g1^8*t^3.4 + t^3.95/g1^6 + t^4. + g1^6*t^4.05 + g1^24*t^4.19 + t^4.51/g1^20 + t^4.6/g1^8 + 2*g1^4*t^4.7 + g1^16*t^4.79 + g1^22*t^4.84 + t^5.21/g1^16 + t^5.3/g1^4 + 2*g1^8*t^5.4 + g1^14*t^5.45 + 2*g1^20*t^5.49 + t^5.95/g1^6 - t^6. + 2*g1^6*t^6.05 + 2*g1^12*t^6.1 + 2*g1^18*t^6.14 + g1^36*t^6.29 + t^6.6/g1^8 + 2*g1^4*t^6.7 + 2*g1^10*t^6.75 + 3*g1^16*t^6.79 + g1^28*t^6.89 + g1^34*t^6.94 + t^7.11/g1^28 + t^7.21/g1^16 + (2*t^7.3)/g1^4 + g1^2*t^7.35 + 3*g1^8*t^7.4 + g1^14*t^7.45 + 2*g1^20*t^7.49 + g1^26*t^7.54 + 2*g1^32*t^7.59 + t^7.81/g1^24 + t^7.9/g1^12 + t^8. + g1^6*t^8.05 + g1^12*t^8.1 + 2*g1^18*t^8.14 + 2*g1^24*t^8.19 + 3*g1^30*t^8.24 + g1^48*t^8.38 + t^8.46/g1^26 + t^8.55/g1^14 - (2*t^8.6)/g1^8 - g1^10*t^8.75 + 2*g1^16*t^8.79 + 3*g1^22*t^8.84 + 4*g1^28*t^8.89 + g1^40*t^8.99 - (g1^2*t^4.35)/y - (g1^14*t^6.45)/y - (g1^12*t^7.1)/y + t^7.6/(g1^8*y) + (g1^4*t^7.7)/y + (g1^16*t^7.79)/y + (g1^22*t^7.84)/y + t^8.25/(g1^10*y) + t^8.3/(g1^4*y) + (g1^2*t^8.35)/y + (g1^8*t^8.4)/y + (2*g1^14*t^8.45)/y + (g1^20*t^8.49)/y - (g1^26*t^8.54)/y + t^8.9/(g1^12*y) + t^8.95/(g1^6*y) - g1^2*t^4.35*y - g1^14*t^6.45*y - g1^12*t^7.1*y + (t^7.6*y)/g1^8 + g1^4*t^7.7*y + g1^16*t^7.79*y + g1^22*t^7.84*y + (t^8.25*y)/g1^10 + (t^8.3*y)/g1^4 + g1^2*t^8.35*y + g1^8*t^8.4*y + 2*g1^14*t^8.45*y + g1^20*t^8.49*y - g1^26*t^8.54*y + (t^8.9*y)/g1^12 + (t^8.95*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2865 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_3M_5$ | 0.61 | 0.7596 | 0.803 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], 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: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 2868 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_3M_6$ | 0.6513 | 0.8048 | 0.8093 | [X:[], M:[1.1559, 1.0887, 0.9449, 0.8441, 0.7339, 1.0551], q:[0.7722, 0.3501], qb:[0.494, 0.5612], 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 | |
| 2866 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_3\phi_1^2$ | 0.6306 | 0.7824 | 0.806 | [X:[], M:[1.2381, 1.0476, 1.0476, 0.7619, 0.8571], q:[0.7619, 0.381], qb:[0.381, 0.5714], 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: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 6/7, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| 2867 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.6488 | 0.8006 | 0.8104 | [X:[], M:[1.1413, 1.096, 0.9267, 0.8587, 0.712, 1.096], q:[0.774, 0.3447], qb:[0.514, 0.5593], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 427 | 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_2^2$ + $ M_1M_4$ | 0.6373 | 0.7771 | 0.8201 | [X:[], M:[1.1394, 1.097, 0.9242, 0.8606], q:[0.7742, 0.3439], qb:[0.5167, 0.5591], 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 |