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 |
|---|---|---|---|---|---|---|---|---|---|
| 55075 | 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_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4\phi_1q_1^2$ | 0.6562 | 0.8056 | 0.8146 | [X:[], M:[1.1677, 0.994, 0.8323, 0.7784, 1.1138, 0.9401], q:[0.3892, 0.4431], qb:[0.6167, 0.7784], phi:[0.4431]] | [X:[], M:[[3], [-18], [-3], [2], [8], [-13]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_6$, $ M_2$, $ M_5$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_6$, $ M_2M_4$, $ M_3M_6$, $ M_6^2$, $ M_4M_5$, $ M_2M_6$, $ M_1M_4$, $ M_3M_5$, $ M_2^2$ | . | -1 | t^2.34 + t^2.5 + t^2.82 + t^2.98 + t^3.34 + t^3.5 + t^3.66 + t^3.83 + t^3.99 + t^4.19 + t^4.35 + t^4.51 + t^4.67 + t^4.83 + t^4.99 + t^5.03 + t^5.16 + t^5.32 + t^5.64 + t^5.68 + t^5.8 + t^5.84 + t^5.96 - t^6. + t^6.16 + 3*t^6.32 + 2*t^6.49 + t^6.65 + t^6.68 + t^6.81 + t^6.84 + t^6.97 + 2*t^7.01 + 2*t^7.17 + 2*t^7.33 + t^7.37 + 3*t^7.49 + t^7.53 + 2*t^7.65 + t^7.69 + t^7.81 + t^7.85 + 2*t^7.98 + 2*t^8.01 + t^8.14 + t^8.17 + t^8.3 - t^8.34 + t^8.37 + t^8.46 + t^8.53 + t^8.62 + t^8.66 + t^8.69 + t^8.78 - t^8.82 + t^8.95 - t^8.98 - t^4.33/y - t^6.66/y - t^7.15/y - t^7.31/y + t^7.35/y + t^7.51/y + t^7.83/y + t^7.99/y + t^8.16/y + (2*t^8.32)/y + t^8.48/y + t^8.68/y + t^8.8/y + (2*t^8.84)/y - t^4.33*y - t^6.66*y - t^7.15*y - t^7.31*y + t^7.35*y + t^7.51*y + t^7.83*y + t^7.99*y + t^8.16*y + 2*t^8.32*y + t^8.48*y + t^8.68*y + t^8.8*y + 2*t^8.84*y | g1^2*t^2.34 + t^2.5/g1^3 + t^2.82/g1^13 + t^2.98/g1^18 + g1^8*t^3.34 + g1^3*t^3.5 + t^3.66/g1^2 + t^3.83/g1^7 + t^3.99/g1^12 + g1^19*t^4.19 + g1^14*t^4.35 + g1^9*t^4.51 + g1^4*t^4.67 + t^4.83/g1 + t^4.99/g1^6 + g1^30*t^5.03 + t^5.16/g1^11 + t^5.32/g1^16 + t^5.64/g1^26 + g1^10*t^5.68 + t^5.8/g1^31 + g1^5*t^5.84 + t^5.96/g1^36 - t^6. + t^6.16/g1^5 + (3*t^6.32)/g1^10 + (2*t^6.49)/g1^15 + t^6.65/g1^20 + g1^16*t^6.68 + t^6.81/g1^25 + g1^11*t^6.84 + t^6.97/g1^30 + 2*g1^6*t^7.01 + 2*g1*t^7.17 + (2*t^7.33)/g1^4 + g1^32*t^7.37 + (3*t^7.49)/g1^9 + g1^27*t^7.53 + (2*t^7.65)/g1^14 + g1^22*t^7.69 + t^7.81/g1^19 + g1^17*t^7.85 + (2*t^7.98)/g1^24 + 2*g1^12*t^8.01 + t^8.14/g1^29 + g1^7*t^8.17 + t^8.3/g1^34 - g1^2*t^8.34 + g1^38*t^8.37 + t^8.46/g1^39 + g1^33*t^8.53 + t^8.62/g1^44 + t^8.66/g1^8 + g1^28*t^8.69 + t^8.78/g1^49 - t^8.82/g1^13 + t^8.95/g1^54 - t^8.98/g1^18 - t^4.33/(g1^4*y) - t^6.66/(g1^2*y) - t^7.15/(g1^17*y) - t^7.31/(g1^22*y) + (g1^14*t^7.35)/y + (g1^9*t^7.51)/y + t^7.83/(g1*y) + t^7.99/(g1^6*y) + t^8.16/(g1^11*y) + (2*t^8.32)/(g1^16*y) + t^8.48/(g1^21*y) + (g1^10*t^8.68)/y + t^8.8/(g1^31*y) + (2*g1^5*t^8.84)/y - (t^4.33*y)/g1^4 - (t^6.66*y)/g1^2 - (t^7.15*y)/g1^17 - (t^7.31*y)/g1^22 + g1^14*t^7.35*y + g1^9*t^7.51*y + (t^7.83*y)/g1 + (t^7.99*y)/g1^6 + (t^8.16*y)/g1^11 + (2*t^8.32*y)/g1^16 + (t^8.48*y)/g1^21 + g1^10*t^8.68*y + (t^8.8*y)/g1^31 + 2*g1^5*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 56750 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4\phi_1q_1^2$ + $ M_1M_7$ | 0.6707 | 0.8306 | 0.8075 | [X:[], M:[1.169, 0.9859, 0.831, 0.7793, 1.1174, 0.9343, 0.831], q:[0.3897, 0.4413], qb:[0.6244, 0.7793], phi:[0.4413]] | t^2.34 + 2*t^2.49 + t^2.8 + t^2.96 + t^3.35 + t^3.66 + t^3.82 + t^3.97 + t^4.21 + t^4.37 + t^4.52 + t^4.68 + 2*t^4.83 + 3*t^4.99 + t^5.07 + t^5.14 + 2*t^5.3 + t^5.45 + t^5.61 + t^5.69 + t^5.76 + t^5.85 + t^5.92 - 2*t^6. - t^4.32/y - t^4.32*y | detail | {a: 20285/30246, c: 200975/241968, M1: 83/71, M2: 70/71, M3: 59/71, M4: 166/213, M5: 238/213, M6: 199/213, M7: 59/71, q1: 83/213, q2: 94/213, qb1: 133/213, qb2: 166/213, phi1: 94/213} |
| 56742 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4\phi_1q_1^2$ + $ M_2M_6$ | 0.6552 | 0.8044 | 0.8145 | [X:[], M:[1.1613, 1.0323, 0.8387, 0.7742, 1.0968, 0.9677], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] | t^2.32 + t^2.52 + t^2.9 + t^3.1 + t^3.29 + t^3.48 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + t^5.03 + t^5.23 + t^5.42 + t^5.61 + 2*t^5.81 - t^4.35/y - t^4.35*y | detail | {a: 5037/7688, c: 773/961, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 34/31, M6: 30/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31} |
| 56744 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4\phi_1q_1^2$ + $ M_2^2$ | 0.6562 | 0.8055 | 0.8146 | [X:[], M:[1.1667, 1.0, 0.8333, 0.7778, 1.1111, 0.9444], q:[0.3889, 0.4444], qb:[0.6111, 0.7778], phi:[0.4444]] | t^2.33 + t^2.5 + t^2.83 + t^3. + t^3.33 + t^3.5 + t^3.67 + t^3.83 + t^4. + t^4.17 + t^4.33 + t^4.5 + t^4.67 + t^4.83 + 2*t^5. + t^5.17 + t^5.33 + 2*t^5.67 + 2*t^5.83 - t^4.33/y - t^4.33*y | detail | {a: 13607/20736, c: 16703/20736, M1: 7/6, M2: 1, M3: 5/6, M4: 7/9, M5: 10/9, M6: 17/18, q1: 7/18, q2: 4/9, qb1: 11/18, qb2: 7/9, phi1: 4/9} |
| 56745 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4\phi_1q_1^2$ + $ M_4M_7$ | 0.6385 | 0.774 | 0.8249 | [X:[], M:[1.1683, 0.99, 0.8317, 0.7789, 1.1156, 0.9372, 1.2211], q:[0.3894, 0.4422], qb:[0.6206, 0.7789], phi:[0.4422]] | t^2.49 + t^2.81 + t^2.97 + t^3.35 + t^3.51 + 2*t^3.66 + t^3.82 + t^3.98 + t^4.2 + t^4.36 + t^4.52 + t^4.99 + t^5.05 + t^5.62 + t^5.78 + t^5.94 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 56752 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4\phi_1q_1^2$ + $ M_7\phi_1q_2^2$ | 0.6771 | 0.847 | 0.7994 | [X:[], M:[1.1675, 0.9949, 0.8325, 0.7783, 1.1134, 0.9408, 0.6701], q:[0.3892, 0.4433], qb:[0.6159, 0.7783], phi:[0.4433]] | t^2.01 + t^2.34 + t^2.5 + t^2.82 + t^2.98 + t^3.34 + t^3.5 + t^3.66 + t^3.83 + t^4.02 + t^4.18 + 2*t^4.35 + 2*t^4.51 + t^4.67 + 2*t^4.83 + 2*t^4.99 + t^5.03 + t^5.16 + t^5.32 + t^5.35 + t^5.51 + t^5.64 + 2*t^5.68 + t^5.81 + 2*t^5.84 + t^5.97 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 1261243/1862832, c: 788911/931416, M1: 230/197, M2: 196/197, M3: 164/197, M4: 460/591, M5: 658/591, M6: 556/591, M7: 132/197, q1: 230/591, q2: 262/591, qb1: 364/591, qb2: 460/591, phi1: 262/591} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46832 | 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_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6579 | 0.8086 | 0.8137 | [X:[], M:[1.1533, 1.0037, 0.8467, 0.7433, 1.1265, 0.9002], q:[0.3716, 0.4751], qb:[0.6247, 0.7816], phi:[0.4367]] | t^2.23 + t^2.54 + t^2.7 + t^3.01 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.16 + t^4.22 + t^4.3 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.06 + t^5.08 + t^5.24 + t^5.4 + t^5.61 + t^5.71 + t^5.77 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*y | detail |