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 |
---|---|---|---|---|---|---|---|---|---|
46400 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.6926 | 0.8476 | 0.8172 | [M:[0.9918, 0.9753, 1.0247, 1.0082], q:[0.5123, 0.4959], qb:[0.5288, 0.4795], phi:[0.4959]] | [M:[[2], [6], [-6], [-2]], q:[[-3], [1]], qb:[[-7], [5]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.926 + 2*t^2.975 + 2*t^3.025 + t^3.074 + t^3.123 + t^4.364 + t^4.414 + 2*t^4.463 + 2*t^4.512 + 2*t^4.562 + t^4.611 + t^4.66 + 2*t^5.951 + t^6. + 2*t^6.049 + 2*t^6.099 + 2*t^6.148 + t^6.197 + t^6.247 + t^7.29 + 2*t^7.34 + 2*t^7.389 + 3*t^7.438 + 4*t^7.488 + 4*t^7.537 + 4*t^7.586 + 4*t^7.636 + 3*t^7.685 + 2*t^7.734 + t^7.784 + t^8.729 + t^8.778 + t^8.827 + t^8.877 + t^8.926 - t^8.975 - t^4.488/y - t^7.463/y + t^7.512/y + (2*t^8.901)/y + (3*t^8.951)/y - t^4.488*y - t^7.463*y + t^7.512*y + 2*t^8.901*y + 3*t^8.951*y | g1^6*t^2.926 + 2*g1^2*t^2.975 + (2*t^3.025)/g1^2 + t^3.074/g1^6 + t^3.123/g1^10 + g1^11*t^4.364 + g1^7*t^4.414 + 2*g1^3*t^4.463 + (2*t^4.512)/g1 + (2*t^4.562)/g1^5 + t^4.611/g1^9 + t^4.66/g1^13 + 2*g1^4*t^5.951 + t^6. + (2*t^6.049)/g1^4 + (2*t^6.099)/g1^8 + (2*t^6.148)/g1^12 + t^6.197/g1^16 + t^6.247/g1^20 + g1^17*t^7.29 + 2*g1^13*t^7.34 + 2*g1^9*t^7.389 + 3*g1^5*t^7.438 + 4*g1*t^7.488 + (4*t^7.537)/g1^3 + (4*t^7.586)/g1^7 + (4*t^7.636)/g1^11 + (3*t^7.685)/g1^15 + (2*t^7.734)/g1^19 + t^7.784/g1^23 + g1^22*t^8.729 + g1^18*t^8.778 + g1^14*t^8.827 + g1^10*t^8.877 + g1^6*t^8.926 - g1^2*t^8.975 - (g1*t^4.488)/y - (g1^3*t^7.463)/y + t^7.512/(g1*y) + (2*g1^8*t^8.901)/y + (3*g1^4*t^8.951)/y - g1*t^4.488*y - g1^3*t^7.463*y + (t^7.512*y)/g1 + 2*g1^8*t^8.901*y + 3*g1^4*t^8.951*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 |
---|---|---|---|---|---|---|---|---|
46874 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}M_{5}$ | 0.696 | 0.8528 | 0.8162 | [M:[0.9839, 0.9516, 1.0484, 1.0161, 0.9516], q:[0.5242, 0.4919], qb:[0.5564, 0.4597], phi:[0.4919]] | 2*t^2.855 + 2*t^2.952 + 2*t^3.048 + t^3.242 + t^4.234 + t^4.331 + 2*t^4.427 + 2*t^4.524 + 2*t^4.621 + t^4.718 + t^4.814 + 2*t^5.71 + 2*t^5.807 + 4*t^5.903 - t^4.476/y - t^4.476*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 |
---|---|---|---|---|---|---|---|---|---|
46214 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9045, 1.0186, 0.9814, 0.7904], q:[0.6433, 0.4522], qb:[0.5292, 0.5663], phi:[0.4522]] | t^2.371 + 2*t^2.713 + t^2.944 + t^3.056 + t^3.287 + t^3.517 + t^4.07 + t^4.301 + t^4.412 + t^4.532 + 2*t^4.643 + t^4.742 + t^4.755 + t^4.874 + t^4.986 + 2*t^5.085 + t^5.216 + t^5.316 + 3*t^5.427 + t^5.658 + t^5.889 - t^6. - t^4.357/y - t^4.357*y | detail |