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 |
|---|---|---|---|---|---|---|---|---|---|
| 46934 | 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_4\phi_1q_1^2$ + $ M_1M_5$ | 0.6754 | 0.8386 | 0.8054 | [X:[], M:[1.1657, 1.006, 0.8343, 0.7771, 0.8343], q:[0.3886, 0.4458], qb:[0.6055, 0.7771], phi:[0.4458]] | [X:[], M:[[3], [-18], [-3], [2], [-3]], 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_5$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_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$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ M_3q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_2\phi_1^2$ | . | -2 | t^2.33 + 2*t^2.5 + t^2.67 + t^3.02 + t^3.15 + t^3.67 + t^3.84 + t^4.01 + t^4.15 + t^4.32 + t^4.49 + t^4.66 + 2*t^4.83 + t^4.97 + 4*t^5.01 + 2*t^5.18 + t^5.35 + t^5.49 + t^5.52 + 2*t^5.66 + t^5.69 - 2*t^6. + t^6.04 + 2*t^6.17 + t^6.31 + 3*t^6.34 + 2*t^6.51 + t^6.65 + t^6.69 + 3*t^6.82 + 2*t^6.99 + t^7.03 + 2*t^7.17 + 2*t^7.3 + 2*t^7.34 + 2*t^7.47 + 6*t^7.51 + t^7.64 + 5*t^7.68 - t^7.82 + 2*t^7.85 + 2*t^7.99 + 3*t^8.02 + t^8.12 + 3*t^8.16 + t^8.2 - 2*t^8.33 + 2*t^8.37 - 4*t^8.5 + t^8.54 + 2*t^8.64 + t^8.71 + 2*t^8.81 + 4*t^8.85 - t^4.34/y - t^6.67/y - t^6.84/y - t^7.01/y + t^7.32/y - t^7.36/y + t^7.66/y + (3*t^7.83)/y + (3*t^8.01)/y + (2*t^8.18)/y + t^8.35/y + t^8.49/y + (2*t^8.52)/y + (2*t^8.66)/y + t^8.69/y + t^8.83/y - t^4.34*y - t^6.67*y - t^6.84*y - t^7.01*y + t^7.32*y - t^7.36*y + t^7.66*y + 3*t^7.83*y + 3*t^8.01*y + 2*t^8.18*y + t^8.35*y + t^8.49*y + 2*t^8.52*y + 2*t^8.66*y + t^8.69*y + t^8.83*y | g1^2*t^2.33 + (2*t^2.5)/g1^3 + t^2.67/g1^8 + t^3.02/g1^18 + g1^13*t^3.15 + t^3.67/g1^2 + t^3.84/g1^7 + t^4.01/g1^12 + g1^19*t^4.15 + g1^14*t^4.32 + g1^9*t^4.49 + g1^4*t^4.66 + (2*t^4.83)/g1 + g1^30*t^4.97 + (4*t^5.01)/g1^6 + (2*t^5.18)/g1^11 + t^5.35/g1^16 + g1^15*t^5.49 + t^5.52/g1^21 + 2*g1^10*t^5.66 + t^5.69/g1^26 - 2*t^6. + t^6.04/g1^36 + (2*t^6.17)/g1^5 + g1^26*t^6.31 + (3*t^6.34)/g1^10 + (2*t^6.51)/g1^15 + g1^16*t^6.65 + t^6.69/g1^20 + 3*g1^11*t^6.82 + 2*g1^6*t^6.99 + t^7.03/g1^30 + 2*g1*t^7.17 + 2*g1^32*t^7.3 + (2*t^7.34)/g1^4 + 2*g1^27*t^7.47 + (6*t^7.51)/g1^9 + g1^22*t^7.64 + (5*t^7.68)/g1^14 - g1^17*t^7.82 + (2*t^7.85)/g1^19 + 2*g1^12*t^7.99 + (3*t^8.02)/g1^24 + g1^43*t^8.12 + 3*g1^7*t^8.16 + t^8.2/g1^29 - 2*g1^2*t^8.33 + (2*t^8.37)/g1^34 - (4*t^8.5)/g1^3 + t^8.54/g1^39 + 2*g1^28*t^8.64 + t^8.71/g1^44 + 2*g1^23*t^8.81 + (4*t^8.85)/g1^13 - t^4.34/(g1^4*y) - t^6.67/(g1^2*y) - t^6.84/(g1^7*y) - t^7.01/(g1^12*y) + (g1^14*t^7.32)/y - t^7.36/(g1^22*y) + (g1^4*t^7.66)/y + (3*t^7.83)/(g1*y) + (3*t^8.01)/(g1^6*y) + (2*t^8.18)/(g1^11*y) + t^8.35/(g1^16*y) + (g1^15*t^8.49)/y + (2*t^8.52)/(g1^21*y) + (2*g1^10*t^8.66)/y + t^8.69/(g1^26*y) + (g1^5*t^8.83)/y - (t^4.34*y)/g1^4 - (t^6.67*y)/g1^2 - (t^6.84*y)/g1^7 - (t^7.01*y)/g1^12 + g1^14*t^7.32*y - (t^7.36*y)/g1^22 + g1^4*t^7.66*y + (3*t^7.83*y)/g1 + (3*t^8.01*y)/g1^6 + (2*t^8.18*y)/g1^11 + (t^8.35*y)/g1^16 + g1^15*t^8.49*y + (2*t^8.52*y)/g1^21 + 2*g1^10*t^8.66*y + (t^8.69*y)/g1^26 + g1^5*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 55064 | $M_1q_1q_2$ + $ 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_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_2M_5$ | 0.6615 | 0.8252 | 0.8016 | [X:[], M:[1.1429, 1.1429, 0.8571, 0.7619, 0.8571], q:[0.381, 0.4762], qb:[0.4762, 0.7619], phi:[0.4762]] | t^2.29 + 2*t^2.57 + 2*t^2.86 + t^3.43 + 2*t^3.71 + 2*t^4. + 3*t^4.29 + t^4.57 + 2*t^4.86 + 5*t^5.14 + 4*t^5.43 + 2*t^5.71 - t^6. - t^4.43/y - t^4.43*y | detail | {a: 10891/16464, c: 6793/8232, M1: 8/7, M2: 8/7, M3: 6/7, M4: 16/21, M5: 6/7, q1: 8/21, q2: 10/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
| 55407 | $M_1q_1q_2$ + $ 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_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_2\phi_1^2$ | 0.6717 | 0.8352 | 0.8043 | [X:[], M:[1.1538, 1.0769, 0.8462, 0.7692, 0.8462], q:[0.3846, 0.4615], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.31 + 2*t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.69 + 2*t^3.92 + 2*t^4.15 + t^4.38 + 2*t^4.62 + 2*t^4.85 + 4*t^5.08 + 3*t^5.31 + 3*t^5.54 + t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 23613/35152, c: 29359/35152, M1: 15/13, M2: 14/13, M3: 11/13, M4: 10/13, M5: 11/13, q1: 5/13, q2: 6/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
| 55166 | $M_1q_1q_2$ + $ 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_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_4M_6$ | 0.6577 | 0.807 | 0.815 | [X:[], M:[1.1663, 1.0019, 0.8337, 0.7776, 0.8337, 1.2224], q:[0.3888, 0.4449], qb:[0.6093, 0.7776], phi:[0.4449]] | 2*t^2.5 + t^2.67 + t^3.01 + t^3.16 + 2*t^3.67 + t^3.84 + t^4. + t^4.16 + t^4.33 + t^4.5 + t^4.99 + 3*t^5. + 2*t^5.17 + t^5.51 + 2*t^5.66 + t^5.68 - 3*t^6. - t^4.33/y - t^4.33*y | detail | |
| 55409 | $M_1q_1q_2$ + $ 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_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_6\phi_1q_1q_2$ | 0.6955 | 0.8765 | 0.7936 | [X:[], M:[1.1645, 1.013, 0.8355, 0.7763, 0.8355, 0.7172], q:[0.3882, 0.4473], qb:[0.5988, 0.7763], phi:[0.4473]] | t^2.15 + t^2.33 + 2*t^2.51 + t^2.68 + t^3.04 + t^3.14 + t^3.67 + t^4.03 + t^4.13 + 2*t^4.3 + 2*t^4.48 + 3*t^4.66 + 3*t^4.84 + t^4.93 + 4*t^5.01 + 3*t^5.19 + t^5.29 + t^5.37 + t^5.47 + t^5.55 + 2*t^5.64 + t^5.72 + t^5.82 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 55320 | $M_1q_1q_2$ + $ 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_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_6\phi_1q_1^2$ | 0.6932 | 0.8704 | 0.7964 | [X:[], M:[1.165, 1.0099, 0.835, 0.7767, 0.835, 0.7767], q:[0.3883, 0.4467], qb:[0.6017, 0.7767], phi:[0.4467]] | 2*t^2.33 + 2*t^2.5 + t^2.68 + t^3.03 + t^3.15 + t^3.84 + t^4.02 + t^4.14 + t^4.31 + t^4.49 + 3*t^4.66 + 4*t^4.83 + t^4.95 + 5*t^5.01 + 2*t^5.18 + 2*t^5.36 + 2*t^5.48 + t^5.53 + 2*t^5.65 + t^5.71 - 3*t^6. - t^4.34/y - t^4.34*y | detail | |
| 55417 | $M_1q_1q_2$ + $ 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_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_6\phi_1^2$ | 0.6661 | 0.8234 | 0.809 | [X:[], M:[1.1613, 1.0323, 0.8387, 0.7742, 0.8387, 1.0968], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] | t^2.32 + 2*t^2.52 + 2*t^3.1 + t^3.29 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 3*t^4.84 + 3*t^5.03 + t^5.42 + 4*t^5.61 + t^5.81 - 2*t^6. - t^4.35/y - t^4.35*y | detail | {a: 5121/7688, c: 3165/3844, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 26/31, M6: 34/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46748 | 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_4\phi_1q_1^2$ | 0.6612 | 0.8142 | 0.8121 | [X:[], M:[1.1643, 1.0142, 0.8357, 0.7762], q:[0.3881, 0.4476], qb:[0.5977, 0.7762], phi:[0.4476]] | t^2.33 + t^2.51 + t^2.69 + t^3.04 + t^3.14 + t^3.49 + t^3.67 + t^3.85 + t^4.03 + t^4.12 + t^4.3 + t^4.48 + t^4.66 + t^4.84 + t^4.93 + 2*t^5.01 + t^5.19 + t^5.37 + t^5.46 + t^5.64 + t^5.73 + t^5.82 - t^6. - t^4.34/y - t^4.34*y | detail |