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 |
|---|---|---|---|---|---|---|---|---|---|
| 4811 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.6915 | 0.8717 | 0.7933 | [M:[0.988, 0.7791, 0.9358, 0.8313, 1.1687, 1.1165, 0.6747, 0.8313], q:[0.6225, 0.3896], qb:[0.4418, 0.7791], phi:[0.4418]] | [M:[[-18], [2], [-13], [-3], [3], [8], [12], [-3]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.024 + t^2.337 + 2*t^2.494 + t^2.807 + t^2.964 + t^3.349 + t^3.663 + t^3.819 + t^4.048 + t^4.205 + 2*t^4.361 + 3*t^4.518 + t^4.675 + 3*t^4.831 + 4*t^4.988 + t^5.06 + t^5.145 + 2*t^5.301 + t^5.373 + t^5.458 + t^5.615 + 2*t^5.687 + t^5.771 + 2*t^5.843 + t^5.928 - 2*t^6. + t^6.072 + 2*t^6.157 + t^6.229 + 2*t^6.313 + 2*t^6.385 + 3*t^6.542 + t^6.627 + 3*t^6.699 + 4*t^6.855 + 6*t^7.012 + t^7.084 + 3*t^7.169 + 4*t^7.325 + 2*t^7.397 + 6*t^7.482 + 2*t^7.554 + 3*t^7.639 + 2*t^7.711 + 3*t^7.795 + 2*t^7.867 + 3*t^7.952 - t^8.024 + t^8.096 + 2*t^8.109 + 2*t^8.181 + t^8.253 + 2*t^8.265 + 3*t^8.409 + 2*t^8.422 - 4*t^8.494 + 3*t^8.566 + t^8.579 + 2*t^8.651 + 4*t^8.723 + t^8.735 - t^8.807 + 4*t^8.879 + t^8.892 - 2*t^8.964 - t^4.325/y - t^6.349/y - t^6.663/y - t^6.819/y - t^7.133/y - t^7.289/y + (2*t^7.361)/y + (3*t^7.518)/y + (4*t^7.831)/y + (3*t^7.988)/y + t^8.145/y + (4*t^8.301)/y + (2*t^8.458)/y + t^8.687/y + t^8.771/y + (2*t^8.843)/y - t^4.325*y - t^6.349*y - t^6.663*y - t^6.819*y - t^7.133*y - t^7.289*y + 2*t^7.361*y + 3*t^7.518*y + 4*t^7.831*y + 3*t^7.988*y + t^8.145*y + 4*t^8.301*y + 2*t^8.458*y + t^8.687*y + t^8.771*y + 2*t^8.843*y | g1^12*t^2.024 + g1^2*t^2.337 + (2*t^2.494)/g1^3 + t^2.807/g1^13 + t^2.964/g1^18 + g1^8*t^3.349 + t^3.663/g1^2 + t^3.819/g1^7 + g1^24*t^4.048 + g1^19*t^4.205 + 2*g1^14*t^4.361 + 3*g1^9*t^4.518 + g1^4*t^4.675 + (3*t^4.831)/g1 + (4*t^4.988)/g1^6 + g1^30*t^5.06 + t^5.145/g1^11 + (2*t^5.301)/g1^16 + g1^20*t^5.373 + t^5.458/g1^21 + t^5.615/g1^26 + 2*g1^10*t^5.687 + t^5.771/g1^31 + 2*g1^5*t^5.843 + t^5.928/g1^36 - 2*t^6. + g1^36*t^6.072 + (2*t^6.157)/g1^5 + g1^31*t^6.229 + (2*t^6.313)/g1^10 + 2*g1^26*t^6.385 + 3*g1^21*t^6.542 + t^6.627/g1^20 + 3*g1^16*t^6.699 + 4*g1^11*t^6.855 + 6*g1^6*t^7.012 + g1^42*t^7.084 + 3*g1*t^7.169 + (4*t^7.325)/g1^4 + 2*g1^32*t^7.397 + (6*t^7.482)/g1^9 + 2*g1^27*t^7.554 + (3*t^7.639)/g1^14 + 2*g1^22*t^7.711 + (3*t^7.795)/g1^19 + 2*g1^17*t^7.867 + (3*t^7.952)/g1^24 - g1^12*t^8.024 + g1^48*t^8.096 + (2*t^8.109)/g1^29 + 2*g1^7*t^8.181 + g1^43*t^8.253 + (2*t^8.265)/g1^34 + 3*g1^38*t^8.409 + (2*t^8.422)/g1^39 - (4*t^8.494)/g1^3 + 3*g1^33*t^8.566 + t^8.579/g1^44 + (2*t^8.651)/g1^8 + 4*g1^28*t^8.723 + t^8.735/g1^49 - t^8.807/g1^13 + 4*g1^23*t^8.879 + t^8.892/g1^54 - (2*t^8.964)/g1^18 - t^4.325/(g1^4*y) - (g1^8*t^6.349)/y - t^6.663/(g1^2*y) - t^6.819/(g1^7*y) - t^7.133/(g1^17*y) - t^7.289/(g1^22*y) + (2*g1^14*t^7.361)/y + (3*g1^9*t^7.518)/y + (4*t^7.831)/(g1*y) + (3*t^7.988)/(g1^6*y) + t^8.145/(g1^11*y) + (4*t^8.301)/(g1^16*y) + (2*t^8.458)/(g1^21*y) + (g1^10*t^8.687)/y + t^8.771/(g1^31*y) + (2*g1^5*t^8.843)/y - (t^4.325*y)/g1^4 - g1^8*t^6.349*y - (t^6.663*y)/g1^2 - (t^6.819*y)/g1^7 - (t^7.133*y)/g1^17 - (t^7.289*y)/g1^22 + 2*g1^14*t^7.361*y + 3*g1^9*t^7.518*y + (4*t^7.831*y)/g1 + (3*t^7.988*y)/g1^6 + (t^8.145*y)/g1^11 + (4*t^8.301*y)/g1^16 + (2*t^8.458*y)/g1^21 + g1^10*t^8.687*y + (t^8.771*y)/g1^31 + 2*g1^5*t^8.843*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 |
|---|---|---|---|---|---|---|---|---|
| 6440 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.7092 | 0.9033 | 0.7851 | [M:[0.9915, 0.7787, 0.9383, 0.8319, 1.1681, 1.1149, 0.6724, 0.8319, 0.7787], q:[0.6192, 0.3894], qb:[0.4425, 0.7787], phi:[0.4425]] | t^2.017 + 2*t^2.336 + 2*t^2.496 + t^2.815 + t^2.974 + t^3.345 + t^3.823 + t^4.034 + t^4.194 + 3*t^4.353 + 3*t^4.513 + 3*t^4.672 + 5*t^4.832 + 4*t^4.991 + t^5.043 + 2*t^5.151 + 3*t^5.311 + t^5.362 + t^5.47 + t^5.63 + 2*t^5.681 + t^5.789 + 2*t^5.84 + t^5.949 - 3*t^6. - t^4.328/y - t^4.328*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2660 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6771 | 0.847 | 0.7994 | [M:[0.9949, 0.7783, 0.9408, 0.8325, 1.1675, 1.1134, 0.6701], q:[0.6159, 0.3892], qb:[0.4433, 0.7783], phi:[0.4433]] | t^2.01 + t^2.335 + t^2.497 + t^2.822 + t^2.985 + t^3.34 + t^3.503 + t^3.665 + t^3.827 + t^4.02 + t^4.183 + 2*t^4.345 + 2*t^4.508 + t^4.67 + 2*t^4.832 + 2*t^4.995 + t^5.025 + t^5.157 + t^5.32 + t^5.35 + t^5.513 + t^5.645 + 2*t^5.675 + t^5.807 + 2*t^5.838 + t^5.97 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 1261243/1862832, c: 788911/931416, M1: 196/197, M2: 460/591, M3: 556/591, M4: 164/197, M5: 230/197, M6: 658/591, M7: 132/197, q1: 364/591, q2: 230/591, qb1: 262/591, qb2: 460/591, phi1: 262/591} |