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 |
---|---|---|---|---|---|---|---|---|---|
1795 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6272 | 0.8147 | 0.7699 | [M:[0.9777, 1.0668, 0.9777, 0.7484, 0.785], q:[0.7444, 0.2778], qb:[0.4626, 0.4706], phi:[0.5111]] | [M:[[4, 4], [-12, -12], [4, 4], [-5, 7], [-1, -13]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$ | ${}$ | -3 | t^2.221 + 2*t^2.245 + t^2.355 + 2*t^2.933 + 2*t^3.2 + t^3.621 + t^3.779 + t^4.309 + t^4.333 + t^4.357 + t^4.443 + 2*t^4.467 + 3*t^4.491 + t^4.576 + 2*t^4.6 + t^4.71 + 2*t^5.155 + 4*t^5.179 + 2*t^5.288 + t^5.422 + 3*t^5.446 + 2*t^5.555 + t^5.842 + 4*t^5.866 - 3*t^6. + t^6.024 + 3*t^6.134 + 3*t^6.401 + t^6.53 + 3*t^6.554 + t^6.578 + 2*t^6.602 + 2*t^6.664 + t^6.688 + 4*t^6.712 + 4*t^6.736 + t^6.798 + 2*t^6.821 + t^6.845 + t^6.931 + t^6.955 + t^6.979 + t^7.065 + 2*t^7.242 + t^7.266 + t^7.29 + t^7.376 + 2*t^7.4 + 5*t^7.424 + 2*t^7.509 + 2*t^7.533 + t^7.557 + 3*t^7.643 + t^7.667 + 4*t^7.691 + t^7.777 + 3*t^7.801 + 2*t^7.91 + t^7.93 + t^8.064 + 2*t^8.088 + 5*t^8.112 + t^8.136 - t^8.221 - 7*t^8.245 + t^8.269 - 3*t^8.355 + 3*t^8.379 + 3*t^8.488 + t^8.618 + t^8.622 + t^8.642 + 4*t^8.646 + t^8.666 + t^8.69 + t^8.714 + t^8.752 + 3*t^8.756 + 3*t^8.776 + 6*t^8.8 + t^8.824 + 3*t^8.848 + 2*t^8.885 + t^8.909 - 7*t^8.933 + 4*t^8.957 + 5*t^8.981 - t^4.533/y - t^6.779/y - t^6.888/y + t^7.333/y + t^7.467/y + t^7.491/y + t^7.576/y + (3*t^7.6)/y - t^7.734/y + (2*t^8.155)/y + (5*t^8.179)/y + (3*t^8.288)/y + (2*t^8.422)/y + (4*t^8.446)/y + (2*t^8.555)/y + t^8.842/y + (3*t^8.866)/y + t^8.976/y - t^4.533*y - t^6.779*y - t^6.888*y + t^7.333*y + t^7.467*y + t^7.491*y + t^7.576*y + 3*t^7.6*y - t^7.734*y + 2*t^8.155*y + 5*t^8.179*y + 3*t^8.288*y + 2*t^8.422*y + 4*t^8.446*y + 2*t^8.555*y + t^8.842*y + 3*t^8.866*y + t^8.976*y | (g1^7*t^2.221)/g2^5 + (2*g2^7*t^2.245)/g1^5 + t^2.355/(g1*g2^13) + 2*g1^4*g2^4*t^2.933 + (2*t^3.2)/(g1^12*g2^12) + g1^13*g2*t^3.621 + (g2^5*t^3.779)/g1^7 + (g1^22*t^4.309)/g2^2 + g1^10*g2^10*t^4.333 + (g2^22*t^4.357)/g1^2 + (g1^14*t^4.443)/g2^10 + 2*g1^2*g2^2*t^4.467 + (3*g2^14*t^4.491)/g1^10 + (g1^6*t^4.576)/g2^18 + (2*t^4.6)/(g1^6*g2^6) + t^4.71/(g1^2*g2^26) + (2*g1^11*t^5.155)/g2 + (4*g2^11*t^5.179)/g1 + (2*g1^3*t^5.288)/g2^9 + t^5.422/(g1^5*g2^17) + (3*t^5.446)/(g1^17*g2^5) + (2*t^5.555)/(g1^13*g2^25) + (g1^20*t^5.842)/g2^4 + 4*g1^8*g2^8*t^5.866 - 3*t^6. + (g2^12*t^6.024)/g1^12 + (3*t^6.134)/(g1^8*g2^8) + (3*t^6.401)/(g1^24*g2^24) + (g1^29*t^6.53)/g2^7 + 3*g1^17*g2^5*t^6.554 + g1^5*g2^17*t^6.578 + (2*g2^29*t^6.602)/g1^7 + (2*g1^21*t^6.664)/g2^15 + (g1^9*t^6.688)/g2^3 + (4*g2^9*t^6.712)/g1^3 + (4*g2^21*t^6.736)/g1^15 + (g1^13*t^6.798)/g2^23 + (2*g1*t^6.821)/g2^11 + (g2*t^6.845)/g1^11 + (g1^5*t^6.931)/g2^31 + t^6.955/(g1^7*g2^19) + t^6.979/(g1^19*g2^7) + t^7.065/(g1^3*g2^39) + 2*g1^26*g2^2*t^7.242 + g1^14*g2^14*t^7.266 + g1^2*g2^26*t^7.29 + (g1^18*t^7.376)/g2^6 + 2*g1^6*g2^6*t^7.4 + (5*g2^18*t^7.424)/g1^6 + (2*g1^10*t^7.509)/g2^14 + (2*t^7.533)/(g1^2*g2^2) + (g2^10*t^7.557)/g1^14 + (3*g1^2*t^7.643)/g2^22 + t^7.667/(g1^10*g2^10) + (4*g2^2*t^7.691)/g1^22 + t^7.777/(g1^6*g2^30) + (3*t^7.801)/(g1^18*g2^18) + (2*t^7.91)/(g1^14*g2^38) + (g1^35*t^7.93)/g2 + (g1^27*t^8.064)/g2^9 + 2*g1^15*g2^3*t^8.088 + 5*g1^3*g2^15*t^8.112 + (g2^27*t^8.136)/g1^9 - (g1^7*t^8.221)/g2^5 - (7*g2^7*t^8.245)/g1^5 + (g2^19*t^8.269)/g1^17 - (3*t^8.355)/(g1*g2^13) + (3*t^8.379)/(g1^13*g2) + (3*t^8.488)/(g1^9*g2^21) + (g1^44*t^8.618)/g2^4 + t^8.622/(g1^17*g2^29) + g1^32*g2^8*t^8.642 + (4*t^8.646)/(g1^29*g2^17) + g1^20*g2^20*t^8.666 + g1^8*g2^32*t^8.69 + (g2^44*t^8.714)/g1^4 + (g1^36*t^8.752)/g2^12 + (3*t^8.756)/(g1^25*g2^37) + 3*g1^24*t^8.776 + 6*g1^12*g2^12*t^8.8 + g2^24*t^8.824 + (3*g2^36*t^8.848)/g1^12 + (2*g1^28*t^8.885)/g2^20 + (g1^16*t^8.909)/g2^8 - 7*g1^4*g2^4*t^8.933 + (4*g2^16*t^8.957)/g1^8 + (5*g2^28*t^8.981)/g1^20 - t^4.533/(g1^2*g2^2*y) - (g2^5*t^6.779)/(g1^7*y) - t^6.888/(g1^3*g2^15*y) + (g1^10*g2^10*t^7.333)/y + (g1^2*g2^2*t^7.467)/y + (g2^14*t^7.491)/(g1^10*y) + (g1^6*t^7.576)/(g2^18*y) + (3*t^7.6)/(g1^6*g2^6*y) - t^7.734/(g1^14*g2^14*y) + (2*g1^11*t^8.155)/(g2*y) + (5*g2^11*t^8.179)/(g1*y) + (3*g1^3*t^8.288)/(g2^9*y) + (2*t^8.422)/(g1^5*g2^17*y) + (4*t^8.446)/(g1^17*g2^5*y) + (2*t^8.555)/(g1^13*g2^25*y) + (g1^20*t^8.842)/(g2^4*y) + (3*g1^8*g2^8*t^8.866)/y + (g1^12*t^8.976)/(g2^12*y) - (t^4.533*y)/(g1^2*g2^2) - (g2^5*t^6.779*y)/g1^7 - (t^6.888*y)/(g1^3*g2^15) + g1^10*g2^10*t^7.333*y + g1^2*g2^2*t^7.467*y + (g2^14*t^7.491*y)/g1^10 + (g1^6*t^7.576*y)/g2^18 + (3*t^7.6*y)/(g1^6*g2^6) - (t^7.734*y)/(g1^14*g2^14) + (2*g1^11*t^8.155*y)/g2 + (5*g2^11*t^8.179*y)/g1 + (3*g1^3*t^8.288*y)/g2^9 + (2*t^8.422*y)/(g1^5*g2^17) + (4*t^8.446*y)/(g1^17*g2^5) + (2*t^8.555*y)/(g1^13*g2^25) + (g1^20*t^8.842*y)/g2^4 + 3*g1^8*g2^8*t^8.866*y + (g1^12*t^8.976*y)/g2^12 |
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 |
---|---|---|---|---|---|---|---|---|
2807 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.6216 | 0.8091 | 0.7682 | [M:[0.9492, 1.1525, 0.9492, 0.7288, 0.8475], q:[0.7373, 0.3136], qb:[0.4322, 0.4152], phi:[0.5254]] | 2*t^2.186 + t^2.237 + t^2.542 + 2*t^2.847 + 2*t^3.458 + t^3.509 + t^3.763 + t^4.068 + t^4.119 + t^4.17 + 3*t^4.373 + 2*t^4.424 + t^4.475 + 2*t^4.729 + t^4.78 + 4*t^5.034 + 3*t^5.085 + 2*t^5.39 + 3*t^5.644 + 5*t^5.695 + t^5.746 + t^5.949 - t^6. - t^4.576/y - t^4.576*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 |
---|---|---|---|---|---|---|---|---|---|
346 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6106 | 0.7864 | 0.7765 | [M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]] | 2*t^2.2 + t^2.255 + 2*t^2.909 + 2*t^3.274 + t^3.563 + t^3.618 + t^3.745 + t^4.217 + t^4.272 + t^4.327 + 3*t^4.399 + 2*t^4.454 + t^4.509 + 4*t^5.109 + 2*t^5.163 + 3*t^5.473 + t^5.528 + 2*t^5.763 + 5*t^5.818 + t^5.873 + t^5.945 - 3*t^6. - t^4.546/y - t^4.546*y | detail |