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 |
---|---|---|---|---|---|---|---|---|---|
1645 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7373 | 0.9448 | 0.7803 | [M:[0.9688, 1.1236, 0.9748, 0.6855, 0.8764, 0.7839, 0.7779, 0.6794], q:[0.7809, 0.4412], qb:[0.59, 0.4351], phi:[0.4382]] | [M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-4, 0], [-1, -1], [3, 1], [10, 2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.038 + t^2.056 + t^2.334 + t^2.352 + 2*t^2.629 + t^2.906 + t^2.925 + t^3.925 + t^4.076 + t^4.095 + 2*t^4.113 + t^4.372 + 3*t^4.39 + 2*t^4.408 + 3*t^4.667 + 3*t^4.685 + t^4.704 + t^4.855 + t^4.944 + 4*t^4.963 + 3*t^4.981 + t^5.24 + 5*t^5.258 + t^5.276 + t^5.535 + t^5.554 + t^5.813 + t^5.831 + t^5.849 + t^5.964 - 3*t^6. - t^6.018 + t^6.115 + t^6.133 + 2*t^6.151 + 2*t^6.169 + t^6.259 - t^6.295 + t^6.41 + 3*t^6.428 + 4*t^6.446 + 2*t^6.465 + 2*t^6.554 - t^6.573 + 3*t^6.705 + 5*t^6.724 + 6*t^6.742 + 2*t^6.76 + t^6.832 - t^6.868 + t^6.893 + t^6.911 + t^6.983 + 5*t^7.001 + 8*t^7.019 + 5*t^7.037 + t^7.056 + t^7.188 + t^7.206 + t^7.278 + 7*t^7.296 + 7*t^7.315 + 2*t^7.333 + t^7.484 + 2*t^7.574 + 6*t^7.592 + 5*t^7.61 + t^7.628 - t^7.761 - t^7.779 + 2*t^7.851 + 3*t^7.869 + 7*t^7.887 + 2*t^7.905 + t^8.002 - 3*t^8.038 - 6*t^8.056 - 2*t^8.075 + t^8.146 + t^8.153 + 3*t^8.164 + t^8.171 + 3*t^8.183 + 2*t^8.189 + t^8.201 + 2*t^8.207 + 2*t^8.226 + t^8.297 + t^8.315 - 6*t^8.334 - 7*t^8.352 - t^8.37 + t^8.442 + t^8.448 + t^8.46 + 3*t^8.466 + t^8.478 + 4*t^8.485 + 4*t^8.503 + 2*t^8.521 + 3*t^8.593 - t^8.611 - 8*t^8.629 - 3*t^8.647 + t^8.719 + t^8.737 + 3*t^8.744 + t^8.755 + 5*t^8.762 + t^8.774 + 9*t^8.78 + 5*t^8.798 + 2*t^8.816 + t^8.87 + 2*t^8.888 - 5*t^8.906 - 7*t^8.925 + t^8.931 - t^8.943 + t^8.949 + 2*t^8.967 - t^4.315/y - t^6.353/y - t^6.371/y - t^6.648/y - t^6.666/y - t^6.944/y + t^7.095/y - t^7.221/y - t^7.239/y + t^7.372/y + (3*t^7.39)/y + (2*t^7.408)/y + (2*t^7.667)/y + (4*t^7.685)/y + t^7.944/y + (5*t^7.963)/y + (4*t^7.981)/y + t^8.24/y + (4*t^8.258)/y + (2*t^8.276)/y - t^8.391/y - t^8.409/y - t^8.427/y + (2*t^8.535)/y + (2*t^8.554)/y - t^8.686/y - (2*t^8.705)/y - t^8.723/y + t^8.831/y + t^8.964/y - t^8.982/y - t^4.315*y - t^6.353*y - t^6.371*y - t^6.648*y - t^6.666*y - t^6.944*y + t^7.095*y - t^7.221*y - t^7.239*y + t^7.372*y + 3*t^7.39*y + 2*t^7.408*y + 2*t^7.667*y + 4*t^7.685*y + t^7.944*y + 5*t^7.963*y + 4*t^7.981*y + t^8.24*y + 4*t^8.258*y + 2*t^8.276*y - t^8.391*y - t^8.409*y - t^8.427*y + 2*t^8.535*y + 2*t^8.554*y - t^8.686*y - 2*t^8.705*y - t^8.723*y + t^8.831*y + t^8.964*y - t^8.982*y | g1^10*g2^2*t^2.038 + g1^6*t^2.056 + g1^3*g2*t^2.334 + t^2.352/(g1*g2) + (2*t^2.629)/g1^4 + (g2*t^2.906)/g1^7 + t^2.925/(g1^11*g2) + (g2^2*t^3.925)/g1^2 + g1^20*g2^4*t^4.076 + g1^16*g2^2*t^4.095 + 2*g1^12*t^4.113 + g1^13*g2^3*t^4.372 + 3*g1^9*g2*t^4.39 + (2*g1^5*t^4.408)/g2 + 3*g1^6*g2^2*t^4.667 + 3*g1^2*t^4.685 + t^4.704/(g1^2*g2^2) + g1^20*t^4.855 + g1^3*g2^3*t^4.944 + (4*g2*t^4.963)/g1 + (3*t^4.981)/(g1^5*g2) + (g2^2*t^5.24)/g1^4 + (5*t^5.258)/g1^8 + t^5.276/(g1^12*g2^2) + (g2*t^5.535)/g1^11 + t^5.554/(g1^15*g2) + (g2^2*t^5.813)/g1^14 + t^5.831/g1^18 + t^5.849/(g1^22*g2^2) + g1^8*g2^4*t^5.964 - 3*t^6. - t^6.018/(g1^4*g2^2) + g1^30*g2^6*t^6.115 + g1^26*g2^4*t^6.133 + 2*g1^22*g2^2*t^6.151 + 2*g1^18*t^6.169 + g1*g2^3*t^6.259 - t^6.295/(g1^7*g2) + g1^23*g2^5*t^6.41 + 3*g1^19*g2^3*t^6.428 + 4*g1^15*g2*t^6.446 + (2*g1^11*t^6.465)/g2 + (2*g2^2*t^6.554)/g1^6 - t^6.573/g1^10 + 3*g1^16*g2^4*t^6.705 + 5*g1^12*g2^2*t^6.724 + 6*g1^8*t^6.742 + (2*g1^4*t^6.76)/g2^2 + (g2^3*t^6.832)/g1^9 - t^6.868/(g1^17*g2) + g1^30*g2^2*t^6.893 + g1^26*t^6.911 + g1^13*g2^5*t^6.983 + 5*g1^9*g2^3*t^7.001 + 8*g1^5*g2*t^7.019 + (5*g1*t^7.037)/g2 + t^7.056/(g1^3*g2^3) + g1^23*g2*t^7.188 + (g1^19*t^7.206)/g2 + g1^6*g2^4*t^7.278 + 7*g1^2*g2^2*t^7.296 + (7*t^7.315)/g1^2 + (2*t^7.333)/(g1^6*g2^2) + g1^16*t^7.484 + (2*g2^3*t^7.574)/g1 + (6*g2*t^7.592)/g1^5 + (5*t^7.61)/(g1^9*g2) + t^7.628/(g1^13*g2^3) - g1^13*g2*t^7.761 - (g1^9*t^7.779)/g2 + (2*g2^4*t^7.851)/g1^4 + (3*g2^2*t^7.869)/g1^8 + (7*t^7.887)/g1^12 + (2*t^7.905)/(g1^16*g2^2) + g1^18*g2^6*t^8.002 - 3*g1^10*g2^2*t^8.038 - 6*g1^6*t^8.056 - (2*g1^2*t^8.075)/g2^2 + (g2^3*t^8.146)/g1^11 + g1^40*g2^8*t^8.153 + (3*g2*t^8.164)/g1^15 + g1^36*g2^6*t^8.171 + (3*t^8.183)/(g1^19*g2) + 2*g1^32*g2^4*t^8.189 + t^8.201/(g1^23*g2^3) + 2*g1^28*g2^2*t^8.207 + 2*g1^24*t^8.226 + g1^11*g2^5*t^8.297 + g1^7*g2^3*t^8.315 - 6*g1^3*g2*t^8.334 - (7*t^8.352)/(g1*g2) - t^8.37/(g1^5*g2^3) + (g2^2*t^8.442)/g1^18 + g1^33*g2^7*t^8.448 + t^8.46/g1^22 + 3*g1^29*g2^5*t^8.466 + t^8.478/(g1^26*g2^2) + 4*g1^25*g2^3*t^8.485 + 4*g1^21*g2*t^8.503 + (2*g1^17*t^8.521)/g2 + 3*g1^4*g2^4*t^8.593 - g2^2*t^8.611 - (8*t^8.629)/g1^4 - (3*t^8.647)/(g1^8*g2^2) + (g2^3*t^8.719)/g1^21 + (g2*t^8.737)/g1^25 + 3*g1^26*g2^6*t^8.744 + t^8.755/(g1^29*g2) + 5*g1^22*g2^4*t^8.762 + t^8.774/(g1^33*g2^3) + 9*g1^18*g2^2*t^8.78 + 5*g1^14*t^8.798 + (2*g1^10*t^8.816)/g2^2 + g1*g2^5*t^8.87 + (2*g2^3*t^8.888)/g1^3 - (5*g2*t^8.906)/g1^7 - (7*t^8.925)/(g1^11*g2) + g1^40*g2^4*t^8.931 - t^8.943/(g1^15*g2^3) + g1^36*g2^2*t^8.949 + 2*g1^32*t^8.967 - t^4.315/(g1^2*y) - (g1^8*g2^2*t^6.353)/y - (g1^4*t^6.371)/y - (g1*g2*t^6.648)/y - t^6.666/(g1^3*g2*y) - t^6.944/(g1^6*y) + (g1^16*g2^2*t^7.095)/y - (g2*t^7.221)/(g1^9*y) - t^7.239/(g1^13*g2*y) + (g1^13*g2^3*t^7.372)/y + (3*g1^9*g2*t^7.39)/y + (2*g1^5*t^7.408)/(g2*y) + (2*g1^6*g2^2*t^7.667)/y + (4*g1^2*t^7.685)/y + (g1^3*g2^3*t^7.944)/y + (5*g2*t^7.963)/(g1*y) + (4*t^7.981)/(g1^5*g2*y) + (g2^2*t^8.24)/(g1^4*y) + (4*t^8.258)/(g1^8*y) + (2*t^8.276)/(g1^12*g2^2*y) - (g1^18*g2^4*t^8.391)/y - (g1^14*g2^2*t^8.409)/y - (g1^10*t^8.427)/y + (2*g2*t^8.535)/(g1^11*y) + (2*t^8.554)/(g1^15*g2*y) - (g1^11*g2^3*t^8.686)/y - (2*g1^7*g2*t^8.705)/y - (g1^3*t^8.723)/(g2*y) + t^8.831/(g1^18*y) + (g1^8*g2^4*t^8.964)/y - (g1^4*g2^2*t^8.982)/y - (t^4.315*y)/g1^2 - g1^8*g2^2*t^6.353*y - g1^4*t^6.371*y - g1*g2*t^6.648*y - (t^6.666*y)/(g1^3*g2) - (t^6.944*y)/g1^6 + g1^16*g2^2*t^7.095*y - (g2*t^7.221*y)/g1^9 - (t^7.239*y)/(g1^13*g2) + g1^13*g2^3*t^7.372*y + 3*g1^9*g2*t^7.39*y + (2*g1^5*t^7.408*y)/g2 + 2*g1^6*g2^2*t^7.667*y + 4*g1^2*t^7.685*y + g1^3*g2^3*t^7.944*y + (5*g2*t^7.963*y)/g1 + (4*t^7.981*y)/(g1^5*g2) + (g2^2*t^8.24*y)/g1^4 + (4*t^8.258*y)/g1^8 + (2*t^8.276*y)/(g1^12*g2^2) - g1^18*g2^4*t^8.391*y - g1^14*g2^2*t^8.409*y - g1^10*t^8.427*y + (2*g2*t^8.535*y)/g1^11 + (2*t^8.554*y)/(g1^15*g2) - g1^11*g2^3*t^8.686*y - 2*g1^7*g2*t^8.705*y - (g1^3*t^8.723*y)/g2 + (t^8.831*y)/g1^18 + g1^8*g2^4*t^8.964*y - g1^4*g2^2*t^8.982*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 |
---|---|---|---|---|---|---|---|---|
4036 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{7}M_{8}$ + ${ }M_{6}X_{1}$ | 0.6227 | 0.7834 | 0.7948 | [X:[1.3793], M:[1.0898, 1.1448, 0.7587, 0.7172, 0.8552, 0.6207, 0.9517, 1.0483], q:[0.7862, 0.2621], qb:[0.6482, 0.5931], phi:[0.4276]] | t^2.152 + t^2.276 + 2*t^2.566 + t^2.855 + t^3.145 + t^3.269 + t^4.014 + t^4.138 + 2*t^4.303 + t^4.428 + t^4.552 + 2*t^4.717 + 2*t^4.842 + t^5.007 + 4*t^5.131 + t^5.172 + t^5.296 + 4*t^5.421 + t^5.545 + 2*t^5.71 + t^5.835 - 2*t^6. - t^4.283/y - t^4.283*y | detail | |
4037 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{2}^{2}$ | 0.758 | 0.985 | 0.7695 | [M:[0.9746, 1.1224, 0.9746, 0.6836, 0.8776, 0.7806, 0.7806, 0.6836, 0.6836], q:[0.7806, 0.4388], qb:[0.5866, 0.4388], phi:[0.4388]] | 3*t^2.051 + 2*t^2.342 + 2*t^2.633 + 2*t^2.924 + 7*t^4.102 + 8*t^4.393 + 9*t^4.684 + t^4.836 + 10*t^4.975 + 7*t^5.266 + 2*t^5.557 + 3*t^5.848 - 5*t^6. - t^4.316/y - t^4.316*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 |
---|---|---|---|---|---|---|---|---|---|
1057 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.7165 | 0.904 | 0.7926 | [M:[0.9701, 1.1244, 0.9701, 0.6866, 0.8756, 0.7811, 0.7811], q:[0.7811, 0.4378], qb:[0.5921, 0.4378], phi:[0.4378]] | t^2.06 + 2*t^2.343 + 2*t^2.627 + 2*t^2.91 + 2*t^3.94 + 2*t^4.12 + 4*t^4.403 + 5*t^4.687 + t^4.866 + 6*t^4.97 + 7*t^5.254 + 2*t^5.537 + 3*t^5.821 - 3*t^6. - t^4.313/y - t^4.313*y | detail |