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 |
|---|---|---|---|---|---|---|---|---|---|
| 4808 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6593 | 0.8153 | 0.8087 | [M:[0.9914, 0.7787, 0.9383, 0.8319, 1.1681, 1.1149, 0.6724, 1.2213], q:[0.6192, 0.3894], qb:[0.4425, 0.7787], phi:[0.4425]] | [M:[[-18], [2], [-13], [-3], [3], [8], [12], [-2]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.017 + t^2.496 + t^2.815 + t^2.974 + t^3.345 + t^3.504 + 2*t^3.664 + t^3.823 + t^4.034 + t^4.194 + t^4.353 + 2*t^4.513 + t^4.832 + 2*t^4.991 + t^5.043 + t^5.362 + t^5.521 + t^5.63 + 2*t^5.681 + t^5.789 + t^5.84 + t^5.949 - 2*t^6. + t^6.051 + t^6.16 + t^6.211 + 2*t^6.319 + t^6.37 + 2*t^6.479 + t^6.53 + 2*t^6.638 + t^6.849 + 4*t^7.009 + t^7.06 + 2*t^7.168 + 2*t^7.328 + t^7.379 + 2*t^7.487 + 2*t^7.538 + t^7.647 + 3*t^7.698 + t^7.806 + 3*t^7.858 + t^7.966 + t^8.068 + t^8.177 + t^8.228 + t^8.336 + 2*t^8.387 + t^8.444 + 2*t^8.547 + t^8.604 + t^8.655 + 2*t^8.707 + t^8.764 - 3*t^8.815 + t^8.866 + t^8.923 - 3*t^8.974 - t^4.328/y - t^6.345/y - t^7.142/y - t^7.302/y + t^7.353/y + (2*t^7.513)/y + t^7.832/y + t^7.991/y + (2*t^8.311)/y + t^8.47/y + t^8.521/y + (2*t^8.681)/y + t^8.789/y + (2*t^8.84)/y - t^4.328*y - t^6.345*y - t^7.142*y - t^7.302*y + t^7.353*y + 2*t^7.513*y + t^7.832*y + t^7.991*y + 2*t^8.311*y + t^8.47*y + t^8.521*y + 2*t^8.681*y + t^8.789*y + 2*t^8.84*y | g1^12*t^2.017 + t^2.496/g1^3 + t^2.815/g1^13 + t^2.974/g1^18 + g1^8*t^3.345 + g1^3*t^3.504 + (2*t^3.664)/g1^2 + t^3.823/g1^7 + g1^24*t^4.034 + g1^19*t^4.194 + g1^14*t^4.353 + 2*g1^9*t^4.513 + t^4.832/g1 + (2*t^4.991)/g1^6 + g1^30*t^5.043 + g1^20*t^5.362 + g1^15*t^5.521 + t^5.63/g1^26 + 2*g1^10*t^5.681 + t^5.789/g1^31 + g1^5*t^5.84 + t^5.949/g1^36 - 2*t^6. + g1^36*t^6.051 + t^6.16/g1^5 + g1^31*t^6.211 + (2*t^6.319)/g1^10 + g1^26*t^6.37 + (2*t^6.479)/g1^15 + g1^21*t^6.53 + (2*t^6.638)/g1^20 + g1^11*t^6.849 + 4*g1^6*t^7.009 + g1^42*t^7.06 + 2*g1*t^7.168 + (2*t^7.328)/g1^4 + g1^32*t^7.379 + (2*t^7.487)/g1^9 + 2*g1^27*t^7.538 + t^7.647/g1^14 + 3*g1^22*t^7.698 + t^7.806/g1^19 + 3*g1^17*t^7.858 + t^7.966/g1^24 + g1^48*t^8.068 + g1^7*t^8.177 + g1^43*t^8.228 + g1^2*t^8.336 + 2*g1^38*t^8.387 + t^8.444/g1^39 + 2*g1^33*t^8.547 + t^8.604/g1^44 + t^8.655/g1^8 + 2*g1^28*t^8.707 + t^8.764/g1^49 - (3*t^8.815)/g1^13 + g1^23*t^8.866 + t^8.923/g1^54 - (3*t^8.974)/g1^18 - t^4.328/(g1^4*y) - (g1^8*t^6.345)/y - t^7.142/(g1^17*y) - t^7.302/(g1^22*y) + (g1^14*t^7.353)/y + (2*g1^9*t^7.513)/y + t^7.832/(g1*y) + t^7.991/(g1^6*y) + (2*t^8.311)/(g1^16*y) + t^8.47/(g1^21*y) + (g1^15*t^8.521)/y + (2*g1^10*t^8.681)/y + t^8.789/(g1^31*y) + (2*g1^5*t^8.84)/y - (t^4.328*y)/g1^4 - g1^8*t^6.345*y - (t^7.142*y)/g1^17 - (t^7.302*y)/g1^22 + g1^14*t^7.353*y + 2*g1^9*t^7.513*y + (t^7.832*y)/g1 + (t^7.991*y)/g1^6 + (2*t^8.311*y)/g1^16 + (t^8.47*y)/g1^21 + g1^15*t^8.521*y + 2*g1^10*t^8.681*y + (t^8.789*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 |
|---|---|---|---|---|---|---|---|---|
| 6430 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{5}M_{9}$ | 0.6738 | 0.8402 | 0.802 | [M:[0.9845, 0.7795, 0.9332, 0.8307, 1.1693, 1.118, 0.677, 1.2205, 0.8307], q:[0.6258, 0.3898], qb:[0.441, 0.7795], phi:[0.441]] | t^2.031 + 2*t^2.492 + t^2.8 + t^2.953 + t^3.354 + 2*t^3.661 + t^3.815 + t^4.062 + t^4.216 + t^4.37 + 3*t^4.523 + t^4.831 + 4*t^4.984 + t^5.078 + t^5.292 + t^5.385 + t^5.446 + t^5.599 + 2*t^5.693 + t^5.753 + 2*t^5.846 + t^5.907 - 3*t^6. - t^4.323/y - t^4.323*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} |