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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3978 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6715 | 0.835 | 0.8043 | [X:[1.3557], M:[1.0291, 1.0962, 1.1633, 0.9709, 0.6443, 0.8367, 0.8367, 0.7114], q:[0.7741, 0.3892], qb:[0.5816, 0.4475], phi:[0.4519]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-14], [12]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{8}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.134 + 2*t^2.51 + t^2.913 + t^3.087 + t^3.289 + t^3.665 + t^3.691 + t^4.04 + t^4.067 + 2*t^4.268 + t^4.443 + 2*t^4.644 + t^4.846 + 3*t^5.02 + t^5.047 + t^5.222 + 2*t^5.423 + t^5.597 + 3*t^5.799 + t^5.825 - 2*t^6. + 3*t^6.175 + 3*t^6.201 + t^6.403 + 2*t^6.551 + 2*t^6.577 + t^6.604 + t^6.752 + 2*t^6.778 + 2*t^6.953 + t^6.98 + t^7.128 + 2*t^7.154 + t^7.181 + t^7.329 + 3*t^7.356 + t^7.382 + 3*t^7.53 + 2*t^7.557 + t^7.705 + 2*t^7.732 + 3*t^7.933 + 2*t^7.96 + t^8.081 + 2*t^8.108 - 2*t^8.134 + 5*t^8.309 + 2*t^8.335 + t^8.483 - 4*t^8.51 + 2*t^8.537 + 4*t^8.685 + 3*t^8.711 + t^8.738 + t^8.886 - t^8.913 - t^4.356/y - t^6.49/y - t^6.866/y + (2*t^7.644)/y + t^7.846/y + t^8.02/y + t^8.047/y + (2*t^8.222)/y + (3*t^8.423)/y + (2*t^8.597)/y - t^8.624/y + (3*t^8.799)/y + t^8.825/y - t^4.356*y - t^6.49*y - t^6.866*y + 2*t^7.644*y + t^7.846*y + t^8.02*y + t^8.047*y + 2*t^8.222*y + 3*t^8.423*y + 2*t^8.597*y - t^8.624*y + 3*t^8.799*y + t^8.825*y | g1^12*t^2.134 + (2*t^2.51)/g1^14 + g1^22*t^2.913 + t^3.087/g1^22 + t^3.289/g1^4 + t^3.665/g1^30 + g1^32*t^3.691 + t^4.04/g1^56 + g1^6*t^4.067 + 2*g1^24*t^4.268 + t^4.443/g1^20 + (2*t^4.644)/g1^2 + g1^16*t^4.846 + (3*t^5.02)/g1^28 + g1^34*t^5.047 + t^5.222/g1^10 + 2*g1^8*t^5.423 + t^5.597/g1^36 + (3*t^5.799)/g1^18 + g1^44*t^5.825 - 2*t^6. + (3*t^6.175)/g1^44 + 3*g1^18*t^6.201 + g1^36*t^6.403 + (2*t^6.551)/g1^70 + (2*t^6.577)/g1^8 + g1^54*t^6.604 + t^6.752/g1^52 + 2*g1^10*t^6.778 + (2*t^6.953)/g1^34 + g1^28*t^6.98 + t^7.128/g1^78 + (2*t^7.154)/g1^16 + g1^46*t^7.181 + t^7.329/g1^60 + 3*g1^2*t^7.356 + g1^64*t^7.382 + (3*t^7.53)/g1^42 + 2*g1^20*t^7.557 + t^7.705/g1^86 + (2*t^7.732)/g1^24 + (3*t^7.933)/g1^6 + 2*g1^56*t^7.96 + t^8.081/g1^112 + (2*t^8.108)/g1^50 - 2*g1^12*t^8.134 + (5*t^8.309)/g1^32 + 2*g1^30*t^8.335 + t^8.483/g1^76 - (4*t^8.51)/g1^14 + 2*g1^48*t^8.537 + (4*t^8.685)/g1^58 + 3*g1^4*t^8.711 + g1^66*t^8.738 + t^8.886/g1^40 - g1^22*t^8.913 - (g1^2*t^4.356)/y - (g1^14*t^6.49)/y - t^6.866/(g1^12*y) + (2*t^7.644)/(g1^2*y) + (g1^16*t^7.846)/y + t^8.02/(g1^28*y) + (g1^34*t^8.047)/y + (2*t^8.222)/(g1^10*y) + (3*g1^8*t^8.423)/y + (2*t^8.597)/(g1^36*y) - (g1^26*t^8.624)/y + (3*t^8.799)/(g1^18*y) + (g1^44*t^8.825)/y - g1^2*t^4.356*y - g1^14*t^6.49*y - (t^6.866*y)/g1^12 + (2*t^7.644*y)/g1^2 + g1^16*t^7.846*y + (t^8.02*y)/g1^28 + g1^34*t^8.047*y + (2*t^8.222*y)/g1^10 + 3*g1^8*t^8.423*y + (2*t^8.597*y)/g1^36 - g1^26*t^8.624*y + (3*t^8.799*y)/g1^18 + g1^44*t^8.825*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 |
---|---|---|---|---|---|---|---|---|
5527 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{9}$ | 0.6698 | 0.8335 | 0.8035 | [X:[1.3612], M:[1.0091, 1.0926, 1.176, 0.9909, 0.6388, 0.824, 0.824, 0.7223, 1.0091], q:[0.7731, 0.4029], qb:[0.588, 0.4211], phi:[0.4537]] | t^2.167 + 2*t^2.472 + 2*t^3.027 + t^3.278 + t^3.583 + t^3.778 + t^3.888 + t^4.083 + 2*t^4.334 + t^4.388 + 2*t^4.639 + t^4.889 + 3*t^4.944 + 2*t^5.194 + 3*t^5.499 + 3*t^5.75 - 3*t^6. - t^4.361/y - t^4.361*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 |
---|---|---|---|---|---|---|---|---|---|
1595 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{3}M_{7}$ | 0.6513 | 0.7969 | 0.8172 | [X:[1.3565], M:[1.0262, 1.0957, 1.1651, 0.9738, 0.6435, 0.8349, 0.8349], q:[0.7739, 0.3912], qb:[0.5826, 0.4437], phi:[0.4522]] | 2*t^2.505 + t^2.921 + t^3.079 + t^3.287 + t^3.653 + t^3.704 + t^3.861 + t^4.019 + t^4.069 + t^4.278 + t^4.435 + t^4.852 + 3*t^5.009 + t^5.426 + t^5.583 + 2*t^5.792 - 2*t^6. - t^4.356/y - t^4.356*y | detail |