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 |
|---|---|---|---|---|---|---|---|---|---|
| 2093 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6865 | 0.8649 | 0.7938 | [M:[1.0831, 0.7506, 0.6877, 1.1461, 0.8539, 0.9169], q:[0.5416, 0.3753], qb:[0.7708, 0.4786], phi:[0.4584]] | [M:[[4], [-12], [-3], [-5], [5], [-4]], q:[[2], [-6]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | -1 | t^2.063 + t^2.252 + t^2.562 + 2*t^2.751 + t^3.061 + t^3.438 + t^3.627 + t^3.937 + 2*t^4.126 + t^4.247 + t^4.315 + t^4.436 + t^4.504 + 2*t^4.625 + 3*t^4.814 + 2*t^5.002 + 2*t^5.123 + 3*t^5.312 + 3*t^5.501 + t^5.622 + t^5.69 + t^5.811 + t^5.879 - t^6. + t^6.121 + 4*t^6.189 + 4*t^6.378 + t^6.499 + t^6.567 + 4*t^6.688 + t^6.755 + t^6.809 + 4*t^6.877 + 3*t^6.998 + 3*t^7.065 + 2*t^7.186 + 3*t^7.254 + t^7.308 + 3*t^7.375 + 6*t^7.564 + t^7.685 + 4*t^7.753 + 2*t^7.874 + t^7.942 + 2*t^8.063 + t^8.131 + 2*t^8.184 + 4*t^8.252 + t^8.373 + 4*t^8.441 + t^8.494 - 2*t^8.562 + 4*t^8.63 + 2*t^8.683 + t^8.818 + 2*t^8.872 + 7*t^8.939 - t^4.375/y - t^6.438/y - t^6.627/y - t^7.126/y + t^7.315/y + (2*t^7.625)/y + (3*t^7.814)/y + (2*t^8.002)/y + (2*t^8.123)/y + (4*t^8.312)/y + t^8.501/y + t^8.622/y + t^8.69/y + (2*t^8.811)/y - t^4.375*y - t^6.438*y - t^6.627*y - t^7.126*y + t^7.315*y + 2*t^7.625*y + 3*t^7.814*y + 2*t^8.002*y + 2*t^8.123*y + 4*t^8.312*y + t^8.501*y + t^8.622*y + t^8.69*y + 2*t^8.811*y | t^2.063/g1^3 + t^2.252/g1^12 + g1^5*t^2.562 + (2*t^2.751)/g1^4 + g1^13*t^3.061 + t^3.438/g1^5 + t^3.627/g1^14 + g1^3*t^3.937 + (2*t^4.126)/g1^6 + g1^20*t^4.247 + t^4.315/g1^15 + g1^11*t^4.436 + t^4.504/g1^24 + 2*g1^2*t^4.625 + (3*t^4.814)/g1^7 + (2*t^5.002)/g1^16 + 2*g1^10*t^5.123 + 3*g1*t^5.312 + (3*t^5.501)/g1^8 + g1^18*t^5.622 + t^5.69/g1^17 + g1^9*t^5.811 + t^5.879/g1^26 - t^6. + g1^26*t^6.121 + (4*t^6.189)/g1^9 + (4*t^6.378)/g1^18 + g1^8*t^6.499 + t^6.567/g1^27 + (4*t^6.688)/g1 + t^6.755/g1^36 + g1^25*t^6.809 + (4*t^6.877)/g1^10 + 3*g1^16*t^6.998 + (3*t^7.065)/g1^19 + 2*g1^7*t^7.186 + (3*t^7.254)/g1^28 + g1^33*t^7.308 + (3*t^7.375)/g1^2 + (6*t^7.564)/g1^11 + g1^15*t^7.685 + (4*t^7.753)/g1^20 + 2*g1^6*t^7.874 + t^7.942/g1^29 + (2*t^8.063)/g1^3 + t^8.131/g1^38 + 2*g1^23*t^8.184 + (4*t^8.252)/g1^12 + g1^14*t^8.373 + (4*t^8.441)/g1^21 + g1^40*t^8.494 - 2*g1^5*t^8.562 + (4*t^8.63)/g1^30 + 2*g1^31*t^8.683 + t^8.818/g1^39 + 2*g1^22*t^8.872 + (7*t^8.939)/g1^13 - t^4.375/(g1^2*y) - t^6.438/(g1^5*y) - t^6.627/(g1^14*y) - t^7.126/(g1^6*y) + t^7.315/(g1^15*y) + (2*g1^2*t^7.625)/y + (3*t^7.814)/(g1^7*y) + (2*t^8.002)/(g1^16*y) + (2*g1^10*t^8.123)/y + (4*g1*t^8.312)/y + t^8.501/(g1^8*y) + (g1^18*t^8.622)/y + t^8.69/(g1^17*y) + (2*g1^9*t^8.811)/y - (t^4.375*y)/g1^2 - (t^6.438*y)/g1^5 - (t^6.627*y)/g1^14 - (t^7.126*y)/g1^6 + (t^7.315*y)/g1^15 + 2*g1^2*t^7.625*y + (3*t^7.814*y)/g1^7 + (2*t^8.002*y)/g1^16 + 2*g1^10*t^8.123*y + 4*g1*t^8.312*y + (t^8.501*y)/g1^8 + g1^18*t^8.622*y + (t^8.69*y)/g1^17 + 2*g1^9*t^8.811*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 |
|---|---|---|---|---|---|---|---|---|
| 3158 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6861 | 0.864 | 0.7941 | [M:[1.0769, 0.7692, 0.6923, 1.1538, 0.8462, 0.9231], q:[0.5385, 0.3846], qb:[0.7692, 0.4615], phi:[0.4615]] | t^2.077 + t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.692 + t^3.923 + 3*t^4.154 + 2*t^4.385 + 3*t^4.615 + 3*t^4.846 + 4*t^5.077 + 3*t^5.308 + 4*t^5.538 + 2*t^5.769 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 24117/35152, c: 15185/17576, M1: 14/13, M2: 10/13, M3: 9/13, M4: 15/13, M5: 11/13, M6: 12/13, q1: 7/13, q2: 5/13, qb1: 10/13, qb2: 6/13, phi1: 6/13} |
| 3159 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6995 | 0.887 | 0.7886 | [M:[1.0791, 0.7626, 0.6907, 1.1511, 0.8489, 0.9209, 0.8489], q:[0.5396, 0.3813], qb:[0.7698, 0.4676], phi:[0.4604]] | t^2.072 + t^2.288 + 2*t^2.547 + 2*t^2.763 + t^3.022 + t^3.669 + t^3.928 + 2*t^4.144 + t^4.187 + t^4.36 + t^4.403 + t^4.576 + 3*t^4.619 + 4*t^4.835 + 2*t^5.05 + 4*t^5.093 + 5*t^5.309 + 2*t^5.525 + 2*t^5.568 + t^5.784 + t^5.957 - 2*t^6. - t^4.381/y - t^4.381*y | detail | |
| 3157 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.7072 | 0.9052 | 0.7813 | [M:[1.0835, 0.7495, 0.6874, 1.1456, 0.8544, 0.9165, 0.6874], q:[0.5417, 0.3748], qb:[0.7709, 0.4796], phi:[0.4583]] | 2*t^2.062 + t^2.249 + t^2.563 + 2*t^2.75 + t^3.064 + t^3.437 + t^3.623 + 4*t^4.124 + t^4.252 + 2*t^4.311 + t^4.439 + t^4.497 + 3*t^4.625 + 5*t^4.812 + 2*t^4.998 + 3*t^5.126 + 3*t^5.313 + 4*t^5.499 + t^5.627 + 2*t^5.685 + t^5.814 + t^5.872 - 2*t^6. - t^4.375/y - t^4.375*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 |
|---|---|---|---|---|---|---|---|---|---|
| 956 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.7143 | 0.8808 | 0.8109 | [M:[1.0548, 0.8356, 0.8628, 1.0276, 0.9724, 0.9452], q:[0.5274, 0.4178], qb:[0.6098, 0.5546], phi:[0.4726]] | t^2.507 + t^2.588 + 2*t^2.836 + t^2.917 + t^3.083 + t^3.246 + t^3.924 + t^4.253 + t^4.335 + t^4.501 + t^4.582 + t^4.664 + t^4.745 + t^4.829 + t^4.911 + t^5.013 + t^5.077 + t^5.095 + t^5.177 + 2*t^5.342 + 2*t^5.424 + t^5.505 + 3*t^5.671 + 2*t^5.753 + t^5.834 + t^5.918 - 3*t^6. - t^4.418/y - t^4.418*y | detail |