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 |
---|---|---|---|---|---|---|---|---|---|
55164 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ | 0.7389 | 0.9195 | 0.8035 | [M:[0.7899, 0.767, 1.0, 1.0228, 0.8127, 0.9772, 0.9772], q:[0.7101, 0.5], qb:[0.5228, 0.4772], phi:[0.4475]] | [M:[[-4, 0], [-4, 1], [0, 0], [0, -1], [-4, -1], [0, 1], [0, 1]], q:[[4, 0], [0, 0]], qb:[[0, -1], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -3 | t^2.301 + t^2.37 + t^2.438 + t^2.685 + 2*t^2.931 + t^3. + t^4.205 + t^4.274 + 2*t^4.342 + t^4.411 + t^4.479 + t^4.602 + t^4.671 + 2*t^4.739 + t^4.808 + t^4.876 + t^4.904 + t^4.973 + t^4.986 + t^5.041 + t^5.054 + t^5.123 + 2*t^5.233 + 2*t^5.301 + 3*t^5.37 + t^5.603 + 2*t^5.616 + t^5.685 + 2*t^5.863 - 3*t^6. - 2*t^6.069 - t^6.137 + t^6.506 - t^6.562 + 2*t^6.575 - 2*t^6.63 + 3*t^6.643 - t^6.699 + 3*t^6.712 + 3*t^6.781 + 2*t^6.849 + t^6.89 + t^6.903 + t^6.918 + t^6.959 + t^6.972 + 2*t^7.027 + 2*t^7.04 + t^7.096 + 2*t^7.109 + 2*t^7.137 + t^7.164 + 2*t^7.177 + 3*t^7.205 + t^7.246 + 4*t^7.274 + t^7.287 + t^7.314 + 3*t^7.342 + t^7.355 + 2*t^7.411 + 2*t^7.424 + t^7.479 + t^7.493 - t^7.521 + 2*t^7.534 + t^7.561 + 2*t^7.602 - t^7.658 + 4*t^7.671 + 3*t^7.739 - t^7.795 + 2*t^7.808 + t^7.836 + t^7.904 + 2*t^7.917 + 2*t^7.986 - t^8.041 + 3*t^8.054 - t^8.11 + 2*t^8.164 - t^8.219 - t^8.301 - t^8.357 - 5*t^8.37 + t^8.411 - 6*t^8.438 + t^8.479 - 3*t^8.507 + t^8.535 + 4*t^8.548 - t^8.575 + 2*t^8.616 - t^8.672 + 2*t^8.794 + t^8.807 + t^8.822 - 2*t^8.863 + 2*t^8.876 + t^8.89 - t^8.918 - 9*t^8.931 + 4*t^8.945 + t^8.959 - t^4.342/y - t^6.643/y - t^6.712/y - t^6.781/y - t^7.027/y - t^7.274/y + t^7.411/y + t^7.658/y + t^7.671/y + t^7.739/y + t^7.808/y + t^7.904/y + t^7.973/y + t^7.986/y + t^8.041/y + t^8.054/y + t^8.123/y + (2*t^8.233)/y + (3*t^8.301)/y + (3*t^8.37)/y + t^8.438/y + (2*t^8.616)/y + t^8.685/y + t^8.863/y + (2*t^8.931)/y - t^8.945/y - t^4.342*y - t^6.643*y - t^6.712*y - t^6.781*y - t^7.027*y - t^7.274*y + t^7.411*y + t^7.658*y + t^7.671*y + t^7.739*y + t^7.808*y + t^7.904*y + t^7.973*y + t^7.986*y + t^8.041*y + t^8.054*y + t^8.123*y + 2*t^8.233*y + 3*t^8.301*y + 3*t^8.37*y + t^8.438*y + 2*t^8.616*y + t^8.685*y + t^8.863*y + 2*t^8.931*y - t^8.945*y | (g2*t^2.301)/g1^4 + t^2.37/g1^4 + t^2.438/(g1^4*g2) + t^2.685/g1^2 + 2*g2*t^2.931 + t^3. + (g2^2*t^4.205)/g1 + (g2*t^4.274)/g1 + (2*t^4.342)/g1 + t^4.411/(g1*g2) + t^4.479/(g1*g2^2) + (g2^2*t^4.602)/g1^8 + (g2*t^4.671)/g1^8 + (2*t^4.739)/g1^8 + t^4.808/(g1^8*g2) + t^4.876/(g1^8*g2^2) + g1^3*g2*t^4.904 + g1^3*t^4.973 + (g2*t^4.986)/g1^6 + (g1^3*t^5.041)/g2 + t^5.054/g1^6 + t^5.123/(g1^6*g2) + (2*g2^2*t^5.233)/g1^4 + (2*g2*t^5.301)/g1^4 + (3*t^5.37)/g1^4 + g1^7*t^5.603 + (2*g2*t^5.616)/g1^2 + t^5.685/g1^2 + 2*g2^2*t^5.863 - 3*t^6. - (2*t^6.069)/g2 - t^6.137/g2^2 + (g2^3*t^6.506)/g1^5 - g1^4*g2*t^6.562 + (2*g2^2*t^6.575)/g1^5 - 2*g1^4*t^6.63 + (3*g2*t^6.643)/g1^5 - (g1^4*t^6.699)/g2 + (3*t^6.712)/g1^5 + (3*t^6.781)/(g1^5*g2) + (2*t^6.849)/(g1^5*g2^2) + (g2^2*t^6.89)/g1^3 + (g2^3*t^6.903)/g1^12 + t^6.918/(g1^5*g2^3) + (g2*t^6.959)/g1^3 + (g2^2*t^6.972)/g1^12 + (2*t^7.027)/g1^3 + (2*g2*t^7.04)/g1^12 + t^7.096/(g1^3*g2) + (2*t^7.109)/g1^12 + (2*g2^3*t^7.137)/g1 + t^7.164/(g1^3*g2^2) + (2*t^7.177)/(g1^12*g2) + (3*g2^2*t^7.205)/g1 + t^7.246/(g1^12*g2^2) + (4*g2*t^7.274)/g1 + (g2^2*t^7.287)/g1^10 + t^7.314/(g1^12*g2^3) + (3*t^7.342)/g1 + (g2*t^7.355)/g1^10 + (2*t^7.411)/(g1*g2) + (2*t^7.424)/g1^10 + t^7.479/(g1*g2^2) + t^7.493/(g1^10*g2) - g1*g2^2*t^7.521 + (2*g2^3*t^7.534)/g1^8 + t^7.561/(g1^10*g2^2) + (2*g2^2*t^7.602)/g1^8 - g1*t^7.658 + (4*g2*t^7.671)/g1^8 + (3*t^7.739)/g1^8 - (g1*t^7.795)/g2^2 + (2*t^7.808)/(g1^8*g2) + g1^3*g2^2*t^7.836 + g1^3*g2*t^7.904 + (2*g2^2*t^7.917)/g1^6 + (2*g2*t^7.986)/g1^6 - (g1^3*t^8.041)/g2 + (3*t^8.054)/g1^6 - (g1^3*t^8.11)/g2^2 + (2*g2^3*t^8.164)/g1^4 - g1^5*g2*t^8.219 - (g2*t^8.301)/g1^4 - (g1^5*t^8.357)/g2 - (5*t^8.37)/g1^4 + (g2^4*t^8.411)/g1^2 - (6*t^8.438)/(g1^4*g2) + (g2^3*t^8.479)/g1^2 - (3*t^8.507)/(g1^4*g2^2) + g1^7*g2*t^8.535 + (4*g2^2*t^8.548)/g1^2 - t^8.575/(g1^4*g2^3) + (2*g2*t^8.616)/g1^2 - (g1^7*t^8.672)/g2 + 2*g2^3*t^8.794 + (g2^4*t^8.807)/g1^9 + t^8.822/(g1^2*g2^2) - 2*g2^2*t^8.863 + (2*g2^3*t^8.876)/g1^9 + t^8.89/(g1^2*g2^3) - g1^9*t^8.918 - 9*g2*t^8.931 + (4*g2^2*t^8.945)/g1^9 + t^8.959/(g1^2*g2^4) - t^4.342/(g1*y) - (g2*t^6.643)/(g1^5*y) - t^6.712/(g1^5*y) - t^6.781/(g1^5*g2*y) - t^7.027/(g1^3*y) - (g2*t^7.274)/(g1*y) + t^7.411/(g1*g2*y) + (g1*t^7.658)/y + (g2*t^7.671)/(g1^8*y) + t^7.739/(g1^8*y) + t^7.808/(g1^8*g2*y) + (g1^3*g2*t^7.904)/y + (g1^3*t^7.973)/y + (g2*t^7.986)/(g1^6*y) + (g1^3*t^8.041)/(g2*y) + t^8.054/(g1^6*y) + t^8.123/(g1^6*g2*y) + (2*g2^2*t^8.233)/(g1^4*y) + (3*g2*t^8.301)/(g1^4*y) + (3*t^8.37)/(g1^4*y) + t^8.438/(g1^4*g2*y) + (2*g2*t^8.616)/(g1^2*y) + t^8.685/(g1^2*y) + (g2^2*t^8.863)/y + (2*g2*t^8.931)/y - (g2^2*t^8.945)/(g1^9*y) - (t^4.342*y)/g1 - (g2*t^6.643*y)/g1^5 - (t^6.712*y)/g1^5 - (t^6.781*y)/(g1^5*g2) - (t^7.027*y)/g1^3 - (g2*t^7.274*y)/g1 + (t^7.411*y)/(g1*g2) + g1*t^7.658*y + (g2*t^7.671*y)/g1^8 + (t^7.739*y)/g1^8 + (t^7.808*y)/(g1^8*g2) + g1^3*g2*t^7.904*y + g1^3*t^7.973*y + (g2*t^7.986*y)/g1^6 + (g1^3*t^8.041*y)/g2 + (t^8.054*y)/g1^6 + (t^8.123*y)/(g1^6*g2) + (2*g2^2*t^8.233*y)/g1^4 + (3*g2*t^8.301*y)/g1^4 + (3*t^8.37*y)/g1^4 + (t^8.438*y)/(g1^4*g2) + (2*g2*t^8.616*y)/g1^2 + (t^8.685*y)/g1^2 + g2^2*t^8.863*y + 2*g2*t^8.931*y - (g2^2*t^8.945*y)/g1^9 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46809 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{4}M_{6}$ | 0.7378 | 0.9171 | 0.8045 | [M:[0.7895, 0.7895, 1.0, 1.0, 0.7895, 1.0], q:[0.7105, 0.5], qb:[0.5, 0.5], phi:[0.4474]] | 3*t^2.368 + t^2.684 + 3*t^3. + 6*t^4.342 + 6*t^4.737 + 3*t^4.974 + 3*t^5.053 + 7*t^5.368 + t^5.605 + 3*t^5.684 - 4*t^6. - t^4.342/y - t^4.342*y | detail |