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 |
|---|---|---|---|---|---|---|---|---|---|
| 2370 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ | 0.7333 | 0.912 | 0.804 | [X:[], M:[0.8598, 1.0701, 1.0, 0.9947, 0.8651, 1.0053, 0.6753, 0.9947], q:[0.5754, 0.5648], qb:[0.4299, 0.5701], phi:[0.4649]] | [X:[], M:[[0, -4], [0, 2], [0, 0], [1, -2], [-1, -2], [-1, 2], [0, 5], [1, -2]], q:[[-1, 4], [1, 0]], qb:[[0, -2], [0, 2]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_1$, $ M_5$, $ M_4$, $ M_8$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_7$, $ M_5M_7$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_4M_7$, $ M_7M_8$, $ M_3M_7$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_2M_7$, $ M_7q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_8$, $ M_1M_3$, $ M_4M_5$, $ M_5M_8$, $ M_1M_2$, $ M_2M_5$, $ M_4^2$, $ M_4M_8$, $ M_8^2$ | . | -3 | t^2.03 + t^2.58 + t^2.6 + 2*t^2.98 + t^3. + t^3.21 + t^3.44 + t^4.05 + t^4.38 + t^4.39 + t^4.41 + t^4.61 + t^4.62 + t^4.78 + t^4.8 + 2*t^4.82 + t^4.83 + t^4.85 + 2*t^5.01 + t^5.03 + t^5.16 + t^5.17 + t^5.19 + t^5.24 + t^5.46 + t^5.56 + 2*t^5.58 + t^5.79 + t^5.81 + 2*t^5.97 - 3*t^6. - t^6.02 + t^6.08 + 2*t^6.19 + t^6.21 + 2*t^6.42 + t^6.44 + t^6.63 + 2*t^6.65 + t^6.81 + t^6.83 + 2*t^6.84 + t^6.86 + 2*t^6.87 + t^6.97 + t^6.99 + t^7.01 + 2*t^7.04 + t^7.05 + t^7.2 + t^7.22 + t^7.26 + 2*t^7.36 + 2*t^7.38 + 2*t^7.39 + t^7.41 + t^7.43 + t^7.44 + t^7.49 + t^7.59 + 2*t^7.61 + t^7.74 + t^7.75 + 3*t^7.77 + 2*t^7.78 + t^7.79 + 2*t^7.8 + 2*t^7.82 + 2*t^7.83 + t^7.85 + 2*t^7.99 - 3*t^8.03 - t^8.04 + t^8.1 + t^8.14 + t^8.16 + t^8.17 + 2*t^8.22 + t^8.24 + t^8.25 + t^8.27 + t^8.28 + t^8.37 + t^8.38 + t^8.4 + 2*t^8.45 + t^8.46 + t^8.55 - 4*t^8.58 - 4*t^8.6 - t^8.61 + t^8.66 + 2*t^8.67 + t^8.77 + 2*t^8.79 + t^8.84 + t^8.85 + 2*t^8.87 + t^8.88 + 2*t^8.9 + 2*t^8.95 - t^8.97 - 7*t^8.98 - t^4.39/y - t^6.42/y - t^6.97/y - t^6.99/y - t^7.38/y + t^7.41/y + t^7.61/y + t^7.62/y + t^7.8/y + t^7.82/y + (2*t^8.01)/y + t^8.03/y + t^8.17/y + t^8.24/y + t^8.37/y - t^8.45/y + t^8.46/y + (2*t^8.56)/y + (3*t^8.58)/y + t^8.6/y + t^8.79/y + t^8.81/y + t^8.97/y + (2*t^8.98)/y - t^4.39*y - t^6.42*y - t^6.97*y - t^6.99*y - t^7.38*y + t^7.41*y + t^7.61*y + t^7.62*y + t^7.8*y + t^7.82*y + 2*t^8.01*y + t^8.03*y + t^8.17*y + t^8.24*y + t^8.37*y - t^8.45*y + t^8.46*y + 2*t^8.56*y + 3*t^8.58*y + t^8.6*y + t^8.79*y + t^8.81*y + t^8.97*y + 2*t^8.98*y | g2^5*t^2.03 + t^2.58/g2^4 + t^2.6/(g1*g2^2) + (2*g1*t^2.98)/g2^2 + t^3. + g2^2*t^3.21 + (g2^6*t^3.44)/g1 + g2^10*t^4.05 + (g1*t^4.38)/g2^3 + t^4.39/g2 + (g2*t^4.41)/g1 + g2*t^4.61 + (g2^3*t^4.62)/g1 + (g1^2*t^4.78)/g2 + g1*g2*t^4.8 + 2*g2^3*t^4.82 + (g2^5*t^4.83)/g1 + (g2^7*t^4.85)/g1^2 + 2*g1*g2^3*t^5.01 + g2^5*t^5.03 + t^5.16/g2^8 + t^5.17/(g1*g2^6) + t^5.19/(g1^2*g2^4) + g2^7*t^5.24 + (g2^11*t^5.46)/g1 + (g1*t^5.56)/g2^6 + (2*t^5.58)/g2^4 + t^5.79/g2^2 + t^5.81/g1 + (2*g1^2*t^5.97)/g2^4 - 3*t^6. - (g2^2*t^6.02)/g1 + g2^15*t^6.08 + 2*g1*t^6.19 + g2^2*t^6.21 + 2*g2^4*t^6.42 + (g2^6*t^6.44)/g1 + g2^6*t^6.63 + (2*g2^8*t^6.65)/g1 + g1^2*g2^4*t^6.81 + g1*g2^6*t^6.83 + 2*g2^8*t^6.84 + (g2^10*t^6.86)/g1 + (2*g2^12*t^6.87)/g1^2 + t^6.97/g2^5 + t^6.99/(g1*g2^3) + t^7.01/(g1^2*g2) + 2*g1*g2^8*t^7.04 + g2^10*t^7.05 + t^7.2/(g1*g2) + (g2*t^7.22)/g1^2 + g2^12*t^7.26 + (2*g1^2*t^7.36)/g2^5 + (2*g1*t^7.38)/g2^3 + (2*t^7.39)/g2 + (g2*t^7.41)/g1 + (g2^3*t^7.43)/g1^2 + (g2^5*t^7.44)/g1^3 + (g2^16*t^7.49)/g1 + (g1*t^7.59)/g2 + 2*g2*t^7.61 + t^7.74/g2^12 + t^7.75/(g1*g2^10) + t^7.77/(g1^2*g2^8) + (2*g1^3*t^7.77)/g2^3 + (2*g1^2*t^7.78)/g2 + t^7.79/(g1^3*g2^6) + 2*g1*g2*t^7.8 + 2*g2^3*t^7.82 + (2*g2^5*t^7.83)/g1 + (g2^7*t^7.85)/g1^2 + 2*g1^2*g2*t^7.99 - 3*g2^5*t^8.03 - (g2^7*t^8.04)/g1 + g2^20*t^8.1 + (g1*t^8.14)/g2^10 + t^8.16/g2^8 + t^8.17/(g1*g2^6) + 2*g1*g2^5*t^8.22 + g2^7*t^8.24 + (g2^9*t^8.25)/g1 + (g2^11*t^8.27)/g1^2 + (g2^13*t^8.28)/g1^3 + t^8.37/g2^6 + t^8.38/(g1*g2^4) + t^8.4/(g1^2*g2^2) + 2*g2^9*t^8.45 + (g2^11*t^8.46)/g1 + (g1^2*t^8.55)/g2^8 - (4*t^8.58)/g2^4 - (4*t^8.6)/(g1*g2^2) - t^8.61/g1^2 + g2^11*t^8.66 + (2*g2^13*t^8.67)/g1 + (g1*t^8.77)/g2^4 + (2*t^8.79)/g2^2 + g1^2*g2^9*t^8.84 + g1*g2^11*t^8.85 + 2*g2^13*t^8.87 + (g2^15*t^8.88)/g1 + (2*g2^17*t^8.9)/g1^2 + (2*g1^3*t^8.95)/g2^6 - (g1^2*t^8.97)/g2^4 - (7*g1*t^8.98)/g2^2 - t^4.39/(g2*y) - (g2^4*t^6.42)/y - t^6.97/(g2^5*y) - t^6.99/(g1*g2^3*y) - (g1*t^7.38)/(g2^3*y) + (g2*t^7.41)/(g1*y) + (g2*t^7.61)/y + (g2^3*t^7.62)/(g1*y) + (g1*g2*t^7.8)/y + (g2^3*t^7.82)/y + (2*g1*g2^3*t^8.01)/y + (g2^5*t^8.03)/y + t^8.17/(g1*g2^6*y) + (g2^7*t^8.24)/y + t^8.37/(g2^6*y) - (g2^9*t^8.45)/y + (g2^11*t^8.46)/(g1*y) + (2*g1*t^8.56)/(g2^6*y) + (3*t^8.58)/(g2^4*y) + t^8.6/(g1*g2^2*y) + t^8.79/(g2^2*y) + t^8.81/(g1*y) + (g1^2*t^8.97)/(g2^4*y) + (2*g1*t^8.98)/(g2^2*y) - (t^4.39*y)/g2 - g2^4*t^6.42*y - (t^6.97*y)/g2^5 - (t^6.99*y)/(g1*g2^3) - (g1*t^7.38*y)/g2^3 + (g2*t^7.41*y)/g1 + g2*t^7.61*y + (g2^3*t^7.62*y)/g1 + g1*g2*t^7.8*y + g2^3*t^7.82*y + 2*g1*g2^3*t^8.01*y + g2^5*t^8.03*y + (t^8.17*y)/(g1*g2^6) + g2^7*t^8.24*y + (t^8.37*y)/g2^6 - g2^9*t^8.45*y + (g2^11*t^8.46*y)/g1 + (2*g1*t^8.56*y)/g2^6 + (3*t^8.58*y)/g2^4 + (t^8.6*y)/(g1*g2^2) + (t^8.79*y)/g2^2 + (t^8.81*y)/g1 + (g1^2*t^8.97*y)/g2^4 + (2*g1*t^8.98*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4386 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_2M_7$ | 0.7022 | 0.8718 | 0.8054 | [X:[], M:[0.7143, 1.1429, 1.0, 0.9762, 0.7381, 1.0238, 0.8571, 0.9762], q:[0.6667, 0.619], qb:[0.3571, 0.6429], phi:[0.4286]] | t^2.14 + t^2.21 + t^2.57 + 2*t^2.93 + t^3. + t^3.43 + t^3.93 + t^4.21 + 2*t^4.29 + 2*t^4.36 + t^4.43 + t^4.71 + t^4.79 + t^5. + 2*t^5.07 + 5*t^5.14 + t^5.21 + t^5.29 + 2*t^5.5 + 2*t^5.57 + t^5.64 + 2*t^5.86 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 1101/1568, c: 1367/1568, M1: 5/7, M2: 8/7, M3: 1, M4: 41/42, M5: 31/42, M6: 43/42, M7: 6/7, M8: 41/42, q1: 2/3, q2: 13/21, qb1: 5/14, qb2: 9/14, phi1: 3/7} |
| 4383 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_4M_7$ + $ M_5X_1$ | 0.6447 | 0.7869 | 0.8193 | [X:[1.4249], M:[0.6995, 1.1502, 1.0, 1.1244, 0.5751, 0.8756, 0.8756, 1.1244], q:[0.5258, 0.7747], qb:[0.3498, 0.6502], phi:[0.4249]] | t^2.1 + t^2.63 + t^3. + 2*t^3.37 + t^3.45 + t^3.53 + t^3.9 + t^4.2 + 2*t^4.27 + t^4.43 + t^4.65 + t^4.8 + 2*t^5.18 + t^5.47 + 2*t^5.55 + t^5.92 - t^6. - t^4.27/y - t^4.27*y | detail | |
| 4387 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_7q_1\tilde{q}_2$ | 0.7259 | 0.9006 | 0.806 | [X:[], M:[0.7949, 1.1026, 1.0, 0.9616, 0.8333, 1.0384, 0.7564, 0.9616], q:[0.641, 0.5641], qb:[0.3974, 0.6026], phi:[0.4487]] | t^2.27 + t^2.38 + t^2.5 + 2*t^2.88 + t^3. + t^3.31 + t^3.73 + t^4.23 + t^4.35 + t^4.46 + t^4.54 + t^4.65 + t^4.73 + 2*t^4.77 + t^4.85 + t^4.88 + 2*t^4.96 + t^5. + t^5.08 + 2*t^5.15 + t^5.19 + 2*t^5.27 + 2*t^5.38 + t^5.58 + t^5.69 + 2*t^5.77 + t^5.81 - 2*t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1319 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7342 | 0.9146 | 0.8027 | [X:[], M:[0.8619, 1.069, 1.0, 1.0246, 0.8374, 0.9754, 0.6726], q:[0.5445, 0.5936], qb:[0.431, 0.569], phi:[0.4655]] | t^2.02 + t^2.51 + t^2.59 + t^2.93 + t^3. + t^3.07 + t^3.21 + t^3.34 + t^4.04 + t^4.32 + t^4.4 + t^4.47 + t^4.53 + t^4.6 + t^4.66 + t^4.74 + 2*t^4.81 + t^4.88 + t^4.94 + t^4.96 + 2*t^5.02 + t^5.09 + t^5.1 + t^5.17 + t^5.22 + t^5.36 + t^5.44 + t^5.51 + t^5.59 + t^5.72 + t^5.79 + t^5.85 - 2*t^6. - t^4.4/y - t^4.4*y | detail |