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 |
---|---|---|---|---|---|---|---|---|---|
569 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6855 | 0.8931 | 0.7675 | [M:[0.8163, 1.1837, 0.8163, 0.6776, 0.6837], q:[0.75, 0.4337], qb:[0.4112, 0.4051], phi:[0.5]] | [M:[[1, 1], [-1, -1], [1, 1], [-2, 0], [-1, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.033 + t^2.051 + 2*t^2.449 + t^2.516 + t^2.535 + t^3. + t^3.465 + t^3.484 + t^3.931 + t^4.016 + t^4.035 + t^4.066 + t^4.084 + 2*t^4.102 + 2*t^4.482 + 2*t^4.5 + t^4.549 + 2*t^4.567 + t^4.586 + 3*t^4.898 + 2*t^4.965 + 2*t^4.984 + 2*t^5.033 + 2*t^5.051 + t^5.069 + 2*t^5.449 + t^5.498 + 3*t^5.516 + 2*t^5.535 + t^5.914 + t^5.933 + t^5.964 + t^5.982 - t^6. + t^6.049 + t^6.067 + t^6.099 + t^6.117 + 2*t^6.135 + 2*t^6.153 + 2*t^6.38 + t^6.447 + 2*t^6.465 + t^6.484 + 2*t^6.515 + 3*t^6.533 + 4*t^6.551 + t^6.569 + t^6.582 + 2*t^6.6 + 3*t^6.619 + 2*t^6.637 + 4*t^6.931 + 2*t^6.949 + 2*t^6.998 + 3*t^7.016 + t^7.035 + 2*t^7.066 + 3*t^7.084 + 3*t^7.102 + t^7.12 + 4*t^7.347 + t^7.396 + 2*t^7.414 + t^7.433 + 3*t^7.482 + 2*t^7.5 + t^7.518 + t^7.531 + 4*t^7.549 + 4*t^7.567 + 2*t^7.586 + t^7.604 + t^7.862 + 2*t^7.898 + 2*t^7.947 + 3*t^7.965 + t^7.984 + t^7.996 + t^8.015 + 2*t^8.033 - t^8.051 + t^8.069 + t^8.082 + t^8.1 + t^8.119 + t^8.131 + t^8.137 + t^8.15 + 2*t^8.168 + 2*t^8.186 + 3*t^8.204 + t^8.363 + t^8.381 + 2*t^8.413 + t^8.431 - 4*t^8.449 - t^8.467 + t^8.48 + 3*t^8.498 - t^8.516 - 3*t^8.535 + 2*t^8.548 + 3*t^8.566 + 4*t^8.584 + 3*t^8.602 + t^8.615 + 2*t^8.633 + 3*t^8.651 + 4*t^8.67 + 2*t^8.688 + 3*t^8.829 + 2*t^8.896 + 2*t^8.914 + 5*t^8.964 + 4*t^8.982 - t^4.5/y - t^6.533/y - t^6.551/y - t^6.949/y + t^7.084/y + (2*t^7.482)/y + (2*t^7.5)/y + t^7.549/y + (2*t^7.567)/y + t^7.586/y + t^7.898/y + (2*t^7.965)/y + (2*t^7.984)/y + t^8.033/y + (3*t^8.051)/y + (3*t^8.449)/y + t^8.467/y + t^8.498/y + (3*t^8.516)/y + (2*t^8.535)/y - t^8.566/y - t^8.584/y - t^8.602/y + (2*t^8.914)/y + (2*t^8.933)/y + t^8.964/y + t^8.982/y - t^4.5*y - t^6.533*y - t^6.551*y - t^6.949*y + t^7.084*y + 2*t^7.482*y + 2*t^7.5*y + t^7.549*y + 2*t^7.567*y + t^7.586*y + t^7.898*y + 2*t^7.965*y + 2*t^7.984*y + t^8.033*y + 3*t^8.051*y + 3*t^8.449*y + t^8.467*y + t^8.498*y + 3*t^8.516*y + 2*t^8.535*y - t^8.566*y - t^8.584*y - t^8.602*y + 2*t^8.914*y + 2*t^8.933*y + t^8.964*y + t^8.982*y | t^2.033/g1^2 + t^2.051/(g1*g2) + 2*g1*g2*t^2.449 + t^2.516/g1 + t^2.535/g2 + t^3. + g2*t^3.465 + g1*t^3.484 + g2^2*t^3.931 + t^4.016/g1 + t^4.035/g2 + t^4.066/g1^4 + t^4.084/(g1^3*g2) + (2*t^4.102)/(g1^2*g2^2) + (2*g2*t^4.482)/g1 + 2*t^4.5 + t^4.549/g1^3 + (2*t^4.567)/(g1^2*g2) + t^4.586/(g1*g2^2) + 3*g1^2*g2^2*t^4.898 + 2*g2*t^4.965 + 2*g1*t^4.984 + (2*t^5.033)/g1^2 + (2*t^5.051)/(g1*g2) + t^5.069/g2^2 + 2*g1*g2*t^5.449 + (g2*t^5.498)/g1^2 + (3*t^5.516)/g1 + (2*t^5.535)/g2 + g1*g2^2*t^5.914 + g1^2*g2*t^5.933 + (g2^2*t^5.964)/g1^2 + (g2*t^5.982)/g1 - t^6. + t^6.049/g1^3 + t^6.067/(g1^2*g2) + t^6.099/g1^6 + t^6.117/(g1^5*g2) + (2*t^6.135)/(g1^4*g2^2) + (2*t^6.153)/(g1^3*g2^3) + 2*g1*g2^3*t^6.38 + (g2^2*t^6.447)/g1 + 2*g2*t^6.465 + g1*t^6.484 + (2*g2*t^6.515)/g1^3 + (3*t^6.533)/g1^2 + (4*t^6.551)/(g1*g2) + t^6.569/g2^2 + t^6.582/g1^5 + (2*t^6.6)/(g1^4*g2) + (3*t^6.619)/(g1^3*g2^2) + (2*t^6.637)/(g1^2*g2^3) + 4*g2^2*t^6.931 + 2*g1*g2*t^6.949 + (2*g2*t^6.998)/g1^2 + (3*t^7.016)/g1 + t^7.035/g2 + (2*t^7.066)/g1^4 + (3*t^7.084)/(g1^3*g2) + (3*t^7.102)/(g1^2*g2^2) + t^7.12/(g1*g2^3) + 4*g1^3*g2^3*t^7.347 + g2^3*t^7.396 + 2*g1*g2^2*t^7.414 + g1^2*g2*t^7.433 + (3*g2*t^7.482)/g1 + 2*t^7.5 + (g1*t^7.518)/g2 + (g2*t^7.531)/g1^4 + (4*t^7.549)/g1^3 + (4*t^7.567)/(g1^2*g2) + (2*t^7.586)/(g1*g2^2) + t^7.604/g2^3 + g2^4*t^7.862 + 2*g1^2*g2^2*t^7.898 + (2*g2^2*t^7.947)/g1 + 3*g2*t^7.965 + g1*t^7.984 + (g2^2*t^7.996)/g1^4 + (g2*t^8.015)/g1^3 + (2*t^8.033)/g1^2 - t^8.051/(g1*g2) + t^8.069/g2^2 + t^8.082/g1^5 + t^8.1/(g1^4*g2) + t^8.119/(g1^3*g2^2) + t^8.131/g1^8 + t^8.137/(g1^2*g2^3) + t^8.15/(g1^7*g2) + (2*t^8.168)/(g1^6*g2^2) + (2*t^8.186)/(g1^5*g2^3) + (3*t^8.204)/(g1^4*g2^4) + g1^2*g2^3*t^8.363 + g1^3*g2^2*t^8.381 + (2*g2^3*t^8.413)/g1 + g2^2*t^8.431 - 4*g1*g2*t^8.449 - g1^2*t^8.467 + (g2^2*t^8.48)/g1^3 + (3*g2*t^8.498)/g1^2 - t^8.516/g1 - (3*t^8.535)/g2 + (2*g2*t^8.548)/g1^5 + (3*t^8.566)/g1^4 + (4*t^8.584)/(g1^3*g2) + (3*t^8.602)/(g1^2*g2^2) + t^8.615/g1^7 + (2*t^8.633)/(g1^6*g2) + (3*t^8.651)/(g1^5*g2^2) + (4*t^8.67)/(g1^4*g2^3) + (2*t^8.688)/(g1^3*g2^4) + 3*g1^2*g2^4*t^8.829 + 2*g2^3*t^8.896 + 2*g1*g2^2*t^8.914 + (5*g2^2*t^8.964)/g1^2 + (4*g2*t^8.982)/g1 - t^4.5/y - t^6.533/(g1^2*y) - t^6.551/(g1*g2*y) - (g1*g2*t^6.949)/y + t^7.084/(g1^3*g2*y) + (2*g2*t^7.482)/(g1*y) + (2*t^7.5)/y + t^7.549/(g1^3*y) + (2*t^7.567)/(g1^2*g2*y) + t^7.586/(g1*g2^2*y) + (g1^2*g2^2*t^7.898)/y + (2*g2*t^7.965)/y + (2*g1*t^7.984)/y + t^8.033/(g1^2*y) + (3*t^8.051)/(g1*g2*y) + (3*g1*g2*t^8.449)/y + (g1^2*t^8.467)/y + (g2*t^8.498)/(g1^2*y) + (3*t^8.516)/(g1*y) + (2*t^8.535)/(g2*y) - t^8.566/(g1^4*y) - t^8.584/(g1^3*g2*y) - t^8.602/(g1^2*g2^2*y) + (2*g1*g2^2*t^8.914)/y + (2*g1^2*g2*t^8.933)/y + (g2^2*t^8.964)/(g1^2*y) + (g2*t^8.982)/(g1*y) - t^4.5*y - (t^6.533*y)/g1^2 - (t^6.551*y)/(g1*g2) - g1*g2*t^6.949*y + (t^7.084*y)/(g1^3*g2) + (2*g2*t^7.482*y)/g1 + 2*t^7.5*y + (t^7.549*y)/g1^3 + (2*t^7.567*y)/(g1^2*g2) + (t^7.586*y)/(g1*g2^2) + g1^2*g2^2*t^7.898*y + 2*g2*t^7.965*y + 2*g1*t^7.984*y + (t^8.033*y)/g1^2 + (3*t^8.051*y)/(g1*g2) + 3*g1*g2*t^8.449*y + g1^2*t^8.467*y + (g2*t^8.498*y)/g1^2 + (3*t^8.516*y)/g1 + (2*t^8.535*y)/g2 - (t^8.566*y)/g1^4 - (t^8.584*y)/(g1^3*g2) - (t^8.602*y)/(g1^2*g2^2) + 2*g1*g2^2*t^8.914*y + 2*g1^2*g2*t^8.933*y + (g2^2*t^8.964*y)/g1^2 + (g2*t^8.982*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
1937 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.685 | 0.8925 | 0.7675 | [M:[0.8301, 1.1699, 0.8301, 0.6797, 0.6699], q:[0.75, 0.4199], qb:[0.4101, 0.4199], phi:[0.5]] | t^2.01 + t^2.039 + 3*t^2.49 + t^2.52 + t^3. + t^3.48 + t^3.51 + t^3.99 + 4*t^4.02 + t^4.049 + t^4.078 + 3*t^4.5 + 4*t^4.529 + t^4.559 + 6*t^4.98 + 4*t^5.01 + 2*t^5.039 + 4*t^5.49 + 3*t^5.52 + t^5.549 + t^5.971 - t^4.5/y - t^4.5*y | detail | |
1936 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6763 | 0.877 | 0.7712 | [M:[0.8166, 1.1834, 0.8166, 0.789, 0.6834], q:[0.75, 0.4334], qb:[0.3555, 0.461], phi:[0.5]] | t^2.05 + 2*t^2.367 + 2*t^2.45 + t^2.683 + t^3. + t^3.317 + t^3.633 + t^3.867 + 2*t^4.101 + t^4.183 + t^4.266 + 2*t^4.417 + 2*t^4.5 + 4*t^4.734 + 4*t^4.817 + 3*t^4.899 + 3*t^5.05 + 2*t^5.133 + 4*t^5.367 + 2*t^5.45 + 3*t^5.683 + t^5.766 - t^4.5/y - t^4.5*y | detail | |
1938 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6997 | 0.9172 | 0.7628 | [M:[0.8275, 1.1725, 0.8275, 0.6927, 0.6725, 0.8261], q:[0.75, 0.4225], qb:[0.4036, 0.4239], phi:[0.5]] | t^2.017 + t^2.078 + 2*t^2.478 + 2*t^2.483 + t^2.539 + t^3. + t^3.461 + t^3.978 + 2*t^4.035 + t^4.039 + t^4.043 + t^4.096 + t^4.156 + 2*t^4.496 + 2*t^4.5 + 3*t^4.556 + 2*t^4.561 + t^4.617 + 3*t^4.957 + 4*t^4.961 + 3*t^4.965 + 3*t^5.017 + 2*t^5.022 + 2*t^5.078 + 3*t^5.478 + 2*t^5.483 + 2*t^5.539 + t^5.939 + t^5.944 - 2*t^6. - t^4.5/y - t^4.5*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
358 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6648 | 0.8527 | 0.7796 | [M:[0.8137, 1.1863, 0.8137, 0.6793], q:[0.75, 0.4363], qb:[0.4103, 0.4034], phi:[0.5]] | t^2.038 + 2*t^2.441 + t^2.519 + t^2.54 + t^3. + t^3.46 + t^3.481 + t^3.92 + t^3.941 + t^4.019 + t^4.04 + t^4.076 + t^4.118 + 2*t^4.479 + t^4.557 + t^4.578 + 3*t^4.882 + 2*t^4.96 + 2*t^4.981 + 2*t^5.038 + t^5.059 + t^5.08 + 2*t^5.441 + t^5.498 + 2*t^5.519 + t^5.54 + t^5.901 + t^5.922 + t^5.958 + t^5.979 - t^6. - t^4.5/y - t^4.5*y | detail |