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 |
---|---|---|---|---|---|---|---|---|---|
46172 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6348 | 0.8263 | 0.7683 | [M:[1.0, 0.8719, 0.6781, 0.7258], q:[0.766, 0.234], qb:[0.5559, 0.5722], phi:[0.468]] | [M:[[0, 0], [-8, -8], [-9, -1], [3, -5]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | t^2.034 + t^2.178 + t^2.37 + t^2.419 + t^2.616 + 2*t^2.808 + t^3. + t^3.774 + t^4.015 + t^4.069 + t^4.212 + t^4.355 + t^4.404 + t^4.453 + t^4.547 + t^4.596 + t^4.65 + 2*t^4.739 + 2*t^4.788 + t^4.793 + 2*t^4.837 + 2*t^4.842 + 2*t^4.985 + t^5.034 + 3*t^5.178 + 2*t^5.226 + t^5.232 + t^5.37 + t^5.419 + 2*t^5.424 + 4*t^5.616 + 2*t^5.808 - 3*t^6. + t^6.103 + t^6.143 + t^6.192 + t^6.246 + t^6.389 + t^6.433 + t^6.487 + t^6.533 + 2*t^6.581 + t^6.63 + t^6.685 + t^6.725 + 2*t^6.774 + 2*t^6.822 + t^6.828 + 2*t^6.871 + 2*t^6.877 + 2*t^6.917 + t^6.971 + t^7.015 + 2*t^7.02 + t^7.069 + 2*t^7.109 + 2*t^7.158 + 2*t^7.163 + 2*t^7.207 + 3*t^7.212 + 2*t^7.256 + 2*t^7.261 + t^7.266 + 3*t^7.355 + t^7.404 + t^7.409 + t^7.453 + 2*t^7.458 + 5*t^7.547 + 2*t^7.596 + 2*t^7.601 + 3*t^7.645 + 4*t^7.65 + t^7.739 + t^7.788 + 4*t^7.793 + t^7.837 + 2*t^7.842 + t^7.847 - t^7.931 - t^7.98 + 4*t^7.985 + 2*t^8.04 + t^8.137 - t^8.178 + t^8.226 + 4*t^8.232 + t^8.281 - 4*t^8.37 - 5*t^8.419 + 6*t^8.424 + 2*t^8.513 + t^8.522 - t^8.562 + t^8.567 + t^8.665 + t^8.71 + t^8.719 - 6*t^8.808 + 2*t^8.852 + t^8.862 + t^8.902 + 2*t^8.906 + 2*t^8.911 + 3*t^8.951 - t^4.404/y - t^6.438/y - t^6.581/y - t^7.02/y + t^7.404/y + t^7.453/y + t^7.547/y + (2*t^7.596)/y + t^7.65/y + (2*t^7.788)/y + t^7.793/y + (2*t^7.842)/y + (3*t^7.985)/y + (2*t^8.034)/y + (3*t^8.178)/y + (3*t^8.226)/y + (2*t^8.37)/y + t^8.419/y + (2*t^8.424)/y - t^8.473/y + t^8.616/y - t^8.759/y + (3*t^8.808)/y + t^8.951/y - t^4.404*y - t^6.438*y - t^6.581*y - t^7.02*y + t^7.404*y + t^7.453*y + t^7.547*y + 2*t^7.596*y + t^7.65*y + 2*t^7.788*y + t^7.793*y + 2*t^7.842*y + 3*t^7.985*y + 2*t^8.034*y + 3*t^8.178*y + 3*t^8.226*y + 2*t^8.37*y + t^8.419*y + 2*t^8.424*y - t^8.473*y + t^8.616*y - t^8.759*y + 3*t^8.808*y + t^8.951*y | t^2.034/(g1^9*g2) + (g1^3*t^2.178)/g2^5 + (g1^7*t^2.37)/g2 + (g2^7*t^2.419)/g1 + t^2.616/(g1^8*g2^8) + (2*t^2.808)/(g1^4*g2^4) + t^3. + (g1^5*t^3.774)/g2^3 + g1*g2^9*t^4.015 + t^4.069/(g1^18*g2^2) + t^4.212/(g1^6*g2^6) + (g1^6*t^4.355)/g2^10 + t^4.404/(g1^2*g2^2) + (g2^6*t^4.453)/g1^10 + (g1^10*t^4.547)/g2^6 + g1^2*g2^2*t^4.596 + t^4.65/(g1^17*g2^9) + (2*g1^14*t^4.739)/g2^2 + 2*g1^6*g2^6*t^4.788 + t^4.793/(g1^5*g2^13) + (2*g2^14*t^4.837)/g1^2 + (2*t^4.842)/(g1^13*g2^5) + (2*t^4.985)/(g1*g2^9) + t^5.034/(g1^9*g2) + (3*g1^3*t^5.178)/g2^5 + (2*g2^3*t^5.226)/g1^5 + t^5.232/(g1^16*g2^16) + (g1^7*t^5.37)/g2 + (g2^7*t^5.419)/g1 + (2*t^5.424)/(g1^12*g2^12) + (4*t^5.616)/(g1^8*g2^8) + (2*t^5.808)/(g1^4*g2^4) - 3*t^6. + t^6.103/(g1^27*g2^3) + (g1^12*t^6.143)/g2^4 + g1^4*g2^4*t^6.192 + t^6.246/(g1^15*g2^7) + t^6.389/(g1^3*g2^11) + g2^16*t^6.433 + (g2^5*t^6.487)/g1^19 + (g1^9*t^6.533)/g2^15 + (2*g1*t^6.581)/g2^7 + (g2*t^6.63)/g1^7 + t^6.685/(g1^26*g2^10) + (g1^13*t^6.725)/g2^11 + (2*g1^5*t^6.774)/g2^3 + (2*g2^5*t^6.822)/g1^3 + t^6.828/(g1^14*g2^14) + (2*g2^13*t^6.871)/g1^11 + (2*t^6.877)/(g1^22*g2^6) + (2*g1^17*t^6.917)/g2^7 + t^6.971/(g1^2*g2^18) + g1*g2^9*t^7.015 + (2*t^7.02)/(g1^10*g2^10) + t^7.069/(g1^18*g2^2) + (2*g1^21*t^7.109)/g2^3 + 2*g1^13*g2^5*t^7.158 + (2*g1^2*t^7.163)/g2^14 + 2*g1^5*g2^13*t^7.207 + (3*t^7.212)/(g1^6*g2^6) + (2*g2^21*t^7.256)/g1^3 + (2*g2^2*t^7.261)/g1^14 + t^7.266/(g1^25*g2^17) + (3*g1^6*t^7.355)/g2^10 + t^7.404/(g1^2*g2^2) + t^7.409/(g1^13*g2^21) + (g2^6*t^7.453)/g1^10 + (2*t^7.458)/(g1^21*g2^13) + (5*g1^10*t^7.547)/g2^6 + 2*g1^2*g2^2*t^7.596 + (2*t^7.601)/(g1^9*g2^17) + (3*g2^10*t^7.645)/g1^6 + (4*t^7.65)/(g1^17*g2^9) + (g1^14*t^7.739)/g2^2 + g1^6*g2^6*t^7.788 + (4*t^7.793)/(g1^5*g2^13) + (g2^14*t^7.837)/g1^2 + (2*t^7.842)/(g1^13*g2^5) + t^7.847/(g1^24*g2^24) - g1^18*g2^2*t^7.931 - g1^10*g2^10*t^7.98 + (4*t^7.985)/(g1*g2^9) + (2*t^8.04)/(g1^20*g2^20) + t^8.137/(g1^36*g2^4) - (g1^3*t^8.178)/g2^5 + (g2^3*t^8.226)/g1^5 + (4*t^8.232)/(g1^16*g2^16) + t^8.281/(g1^24*g2^8) - (4*g1^7*t^8.37)/g2 - (5*g2^7*t^8.419)/g1 + (6*t^8.424)/(g1^12*g2^12) + (2*g1^19*t^8.513)/g2^5 + (g2^4*t^8.522)/g1^28 - g1^11*g2^3*t^8.562 + t^8.567/g2^16 + t^8.665/g1^16 + (g1^12*t^8.71)/g2^20 + t^8.719/(g1^35*g2^11) - (6*t^8.808)/(g1^4*g2^4) + (2*g2^23*t^8.852)/g1 + t^8.862/(g1^23*g2^15) + (g1^16*t^8.902)/g2^16 + (2*g2^12*t^8.906)/g1^20 + (2*t^8.911)/(g1^31*g2^7) + (3*g1^8*t^8.951)/g2^8 - t^4.404/(g1^2*g2^2*y) - t^6.438/(g1^11*g2^3*y) - (g1*t^6.581)/(g2^7*y) - t^7.02/(g1^10*g2^10*y) + t^7.404/(g1^2*g2^2*y) + (g2^6*t^7.453)/(g1^10*y) + (g1^10*t^7.547)/(g2^6*y) + (2*g1^2*g2^2*t^7.596)/y + t^7.65/(g1^17*g2^9*y) + (2*g1^6*g2^6*t^7.788)/y + t^7.793/(g1^5*g2^13*y) + (2*t^7.842)/(g1^13*g2^5*y) + (3*t^7.985)/(g1*g2^9*y) + (2*t^8.034)/(g1^9*g2*y) + (3*g1^3*t^8.178)/(g2^5*y) + (3*g2^3*t^8.226)/(g1^5*y) + (2*g1^7*t^8.37)/(g2*y) + (g2^7*t^8.419)/(g1*y) + (2*t^8.424)/(g1^12*g2^12*y) - t^8.473/(g1^20*g2^4*y) + t^8.616/(g1^8*g2^8*y) - (g1^4*t^8.759)/(g2^12*y) + (3*t^8.808)/(g1^4*g2^4*y) + (g1^8*t^8.951)/(g2^8*y) - (t^4.404*y)/(g1^2*g2^2) - (t^6.438*y)/(g1^11*g2^3) - (g1*t^6.581*y)/g2^7 - (t^7.02*y)/(g1^10*g2^10) + (t^7.404*y)/(g1^2*g2^2) + (g2^6*t^7.453*y)/g1^10 + (g1^10*t^7.547*y)/g2^6 + 2*g1^2*g2^2*t^7.596*y + (t^7.65*y)/(g1^17*g2^9) + 2*g1^6*g2^6*t^7.788*y + (t^7.793*y)/(g1^5*g2^13) + (2*t^7.842*y)/(g1^13*g2^5) + (3*t^7.985*y)/(g1*g2^9) + (2*t^8.034*y)/(g1^9*g2) + (3*g1^3*t^8.178*y)/g2^5 + (3*g2^3*t^8.226*y)/g1^5 + (2*g1^7*t^8.37*y)/g2 + (g2^7*t^8.419*y)/g1 + (2*t^8.424*y)/(g1^12*g2^12) - (t^8.473*y)/(g1^20*g2^4) + (t^8.616*y)/(g1^8*g2^8) - (g1^4*t^8.759*y)/g2^12 + (3*t^8.808*y)/(g1^4*g2^4) + (g1^8*t^8.951*y)/g2^8 |
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 |
---|---|---|---|---|---|---|---|---|
46540 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.6262 | 0.8118 | 0.7713 | [M:[1.0, 0.9403, 0.716, 0.7392, 1.0597], q:[0.7575, 0.2425], qb:[0.5265, 0.5332], phi:[0.4851]] | t^2.148 + t^2.218 + t^2.307 + t^2.327 + 2*t^2.91 + t^3. + t^3.179 + t^3.762 + t^3.872 + t^4.296 + t^4.366 + t^4.435 + t^4.455 + t^4.475 + t^4.525 + t^4.545 + 2*t^4.614 + 2*t^4.634 + 2*t^4.655 + 2*t^5.058 + t^5.128 + 3*t^5.218 + 2*t^5.238 + t^5.307 + 2*t^5.327 + t^5.397 + t^5.486 + t^5.506 + 3*t^5.821 + 2*t^5.91 - 3*t^6. - t^4.455/y - t^4.455*y | detail | |
46719 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6543 | 0.8625 | 0.7586 | [M:[1.0, 0.8707, 0.6689, 0.7342, 0.7335], q:[0.7662, 0.2338], qb:[0.565, 0.5643], phi:[0.4677]] | t^2.007 + t^2.201 + t^2.203 + t^2.394 + t^2.396 + t^2.612 + 2*t^2.806 + t^3. + t^3.991 + t^4.013 + t^4.207 + t^4.209 + 2*t^4.401 + 2*t^4.403 + t^4.405 + t^4.595 + 2*t^4.597 + t^4.599 + t^4.619 + 2*t^4.789 + 2*t^4.791 + 2*t^4.793 + 3*t^4.813 + t^4.815 + 3*t^5.007 + 2*t^5.009 + 3*t^5.201 + 3*t^5.203 + t^5.224 + t^5.394 + t^5.396 + 2*t^5.418 + 4*t^5.612 + t^5.806 - 3*t^6. - t^4.403/y - t^4.403*y | detail | |
46588 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6297 | 0.8172 | 0.7705 | [M:[1.0, 0.906, 0.6969, 0.7326, 1.047], q:[0.7617, 0.2383], qb:[0.5414, 0.5526], phi:[0.4765]] | t^2.091 + t^2.198 + t^2.339 + t^2.373 + t^2.718 + t^2.859 + t^3. + t^3.141 + t^3.768 + t^3.943 + t^4.181 + t^4.289 + t^4.396 + t^4.43 + t^4.463 + t^4.537 + t^4.57 + 2*t^4.678 + 2*t^4.711 + 2*t^4.745 + t^4.809 + t^4.916 + t^4.95 + t^5.057 + t^5.091 + 2*t^5.198 + 2*t^5.232 + 2*t^5.339 + t^5.373 + t^5.436 + t^5.48 + t^5.514 + t^5.577 + 2*t^5.718 + 2*t^5.859 - 2*t^6. - t^4.43/y - t^4.43*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 |
---|---|---|---|---|---|---|---|---|---|
45982 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.6151 | 0.7899 | 0.7787 | [M:[1.0, 0.877, 0.6721], q:[0.7654, 0.2346], qb:[0.5625, 0.5605], phi:[0.4693]] | t^2.016 + t^2.385 + t^2.391 + t^2.631 + 2*t^2.816 + t^3. + t^3.793 + t^3.799 + t^3.977 + t^4.033 + t^4.402 + t^4.408 + t^4.647 + 2*t^4.771 + 2*t^4.777 + 2*t^4.783 + 2*t^4.832 + t^5.016 + 2*t^5.201 + 2*t^5.207 + t^5.262 + t^5.385 + t^5.391 + 2*t^5.447 + 4*t^5.631 + t^5.809 + 2*t^5.816 - 3*t^6. - t^4.408/y - t^4.408*y | detail |