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 |
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48130 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.5596 | 0.7013 | 0.7979 | [M:[0.9226, 1.0774, 1.0, 0.6905, 1.1548], q:[0.6339, 0.4434], qb:[0.2887, 0.9434], phi:[0.4226]] | [M:[[-2], [2], [0], [-8], [4]], q:[[-3], [5]], qb:[[1], [5]], phi:[[-2]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}$ | -1 | t^2.071 + t^2.196 + t^2.768 + t^3. + t^3.232 + 2*t^3.464 + t^3.696 + t^4.143 + t^4.161 + t^4.268 + t^4.393 + t^4.732 + t^4.839 + t^4.964 + t^5.071 + t^5.196 + t^5.429 + 2*t^5.536 + 2*t^5.661 + t^5.768 + t^5.893 - t^6. + t^6.214 + 2*t^6.232 + t^6.339 + t^6.357 + 3*t^6.464 - t^6.571 + t^6.589 + t^6.696 + t^6.911 + 3*t^6.929 + t^7.143 + 3*t^7.161 - t^7.268 + 2*t^7.393 - t^7.5 + 2*t^7.607 + 2*t^7.625 + t^7.732 + t^7.839 + 3*t^7.857 - 2*t^8.071 + t^8.089 - t^8.196 + t^8.286 + t^8.304 + t^8.321 + t^8.411 + 2*t^8.429 + 2*t^8.536 + t^8.553 - t^8.643 + 2*t^8.661 - 3*t^8.768 + t^8.786 + t^8.893 + t^8.982 - t^4.268/y - t^6.339/y + t^7.268/y + t^7.839/y + t^7.964/y + t^8.071/y + (2*t^8.196)/y + t^8.304/y - t^8.411/y + t^8.429/y + (2*t^8.536)/y + (2*t^8.661)/y + (2*t^8.768)/y + t^8.893/y - t^4.268*y - t^6.339*y + t^7.268*y + t^7.839*y + t^7.964*y + t^8.071*y + 2*t^8.196*y + t^8.304*y - t^8.411*y + t^8.429*y + 2*t^8.536*y + 2*t^8.661*y + 2*t^8.768*y + t^8.893*y | t^2.071/g1^8 + g1^6*t^2.196 + t^2.768/g1^2 + t^3. + g1^2*t^3.232 + 2*g1^4*t^3.464 + g1^6*t^3.696 + t^4.143/g1^16 + g1^10*t^4.161 + t^4.268/g1^2 + g1^12*t^4.393 + g1^2*t^4.732 + t^4.839/g1^10 + g1^4*t^4.964 + t^5.071/g1^8 + g1^6*t^5.196 + g1^8*t^5.429 + (2*t^5.536)/g1^4 + 2*g1^10*t^5.661 + t^5.768/g1^2 + g1^12*t^5.893 - t^6. + t^6.214/g1^24 + 2*g1^2*t^6.232 + t^6.339/g1^10 + g1^16*t^6.357 + 3*g1^4*t^6.464 - t^6.571/g1^8 + g1^18*t^6.589 + g1^6*t^6.696 + t^6.911/g1^18 + 3*g1^8*t^6.929 + t^7.143/g1^16 + 3*g1^10*t^7.161 - t^7.268/g1^2 + 2*g1^12*t^7.393 - t^7.5 + (2*t^7.607)/g1^12 + 2*g1^14*t^7.625 + g1^2*t^7.732 + t^7.839/g1^10 + 3*g1^16*t^7.857 - (2*t^8.071)/g1^8 + g1^18*t^8.089 - g1^6*t^8.196 + t^8.286/g1^32 + t^8.304/g1^6 + g1^20*t^8.321 + t^8.411/g1^18 + 2*g1^8*t^8.429 + (2*t^8.536)/g1^4 + g1^22*t^8.553 - t^8.643/g1^16 + 2*g1^10*t^8.661 - (3*t^8.768)/g1^2 + g1^24*t^8.786 + g1^12*t^8.893 + t^8.982/g1^26 - t^4.268/(g1^2*y) - t^6.339/(g1^10*y) + t^7.268/(g1^2*y) + t^7.839/(g1^10*y) + (g1^4*t^7.964)/y + t^8.071/(g1^8*y) + (2*g1^6*t^8.196)/y + t^8.304/(g1^6*y) - t^8.411/(g1^18*y) + (g1^8*t^8.429)/y + (2*t^8.536)/(g1^4*y) + (2*g1^10*t^8.661)/y + (2*t^8.768)/(g1^2*y) + (g1^12*t^8.893)/y - (t^4.268*y)/g1^2 - (t^6.339*y)/g1^10 + (t^7.268*y)/g1^2 + (t^7.839*y)/g1^10 + g1^4*t^7.964*y + (t^8.071*y)/g1^8 + 2*g1^6*t^8.196*y + (t^8.304*y)/g1^6 - (t^8.411*y)/g1^18 + g1^8*t^8.429*y + (2*t^8.536*y)/g1^4 + 2*g1^10*t^8.661*y + (2*t^8.768*y)/g1^2 + g1^12*t^8.893*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 |
---|---|---|---|---|---|---|---|---|
55552 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.5526 | 0.6903 | 0.8005 | [M:[0.926, 1.074, 1.0, 0.7039, 1.148, 1.074], q:[0.639, 0.435], qb:[0.287, 0.935], phi:[0.426]] | t^2.112 + t^2.166 + t^3. + 2*t^3.222 + 2*t^3.444 + t^3.666 + t^4.11 + t^4.224 + t^4.278 + t^4.332 + t^4.722 + t^5.112 + t^5.166 + t^5.334 + 2*t^5.388 + t^5.556 + 2*t^5.61 + t^5.832 - 2*t^6. - t^4.278/y - t^4.278*y | detail | |
55612 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5781 | 0.7344 | 0.7872 | [M:[0.9178, 1.0822, 1.0, 0.6713, 1.1643, 0.7535], q:[0.6267, 0.4554], qb:[0.2911, 0.9554], phi:[0.4178]] | t^2.014 + t^2.24 + t^2.26 + t^2.753 + t^3. + t^3.247 + 2*t^3.493 + t^4.028 + t^4.233 + t^4.253 + t^4.274 + t^4.479 + t^4.5 + t^4.521 + t^4.747 + t^4.767 + t^4.993 + 2*t^5.014 + t^5.24 + t^5.26 + t^5.486 + 3*t^5.507 + 2*t^5.733 + 2*t^5.753 - t^6. - t^4.253/y - t^4.253*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 |
---|---|---|---|---|---|---|---|---|---|
46430 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{3}^{2}$ | 0.5734 | 0.7245 | 0.7915 | [M:[0.9173, 1.0827, 1.0, 0.6692], q:[0.626, 0.4567], qb:[0.2913, 0.9567], phi:[0.4173]] | t^2.008 + t^2.244 + t^2.504 + t^2.752 + t^3. + t^3.248 + t^3.496 + t^3.744 + t^4.015 + t^4.24 + t^4.252 + t^4.489 + t^4.511 + 2*t^4.748 + t^4.76 + t^4.996 + 2*t^5.008 + t^5.244 + t^5.256 + t^5.492 + 2*t^5.504 + t^5.74 + 2*t^5.752 + t^5.989 - t^4.252/y - t^4.252*y | detail |