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 |
---|---|---|---|---|---|---|---|---|---|
79517 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ | 2.295 | 2.3785 | 0.9649 | [X:[], M:[0.9046, 1.0954], q:[0.7138, 0.7138], qb:[], phi:[], S:[0.4523, 0.6431], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -2], [0, 2]], q:[[-1, -12], [1, 0]], qb:[], phi:[], S:[[0, -1], [0, 3]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }S_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }S_{1}^{4}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{1}$ | ${}S_{1}^{3}S_{2}$ | -3 | t^2.714 + t^3.286 + t^3.859 + t^4.283 + t^5.428 + 3*t^5.64 - 3*t^6. + 3*t^6.212 + 3*t^6.572 + 2*t^6.996 + 2*t^7.145 - 4*t^7.357 + 5*t^7.569 + 5*t^7.717 - 4*t^7.929 + 2*t^8.141 + 3*t^8.353 + t^8.565 - 7*t^8.714 + 10*t^8.926 - t^4.357/y - t^4.929/y - t^7.071/y - (2*t^7.643)/y - (3*t^8.216)/y - t^8.64/y - (2*t^8.788)/y - t^4.357*y - t^4.929*y - t^7.071*y - 2*t^7.643*y - 3*t^8.216*y - t^8.64*y - 2*t^8.788*y | t^2.714/g2^2 + g2^2*t^3.286 + g2^6*t^3.859 + t^4.283/g2^12 + t^5.428/g2^4 + t^5.64/(g1^2*g2^25) + t^5.64/g2^13 + (g1^2*t^5.64)/g2 - t^6. - t^6./(g1^2*g2^12) - g1^2*g2^12*t^6. + t^6.212/(g1^2*g2^21) + t^6.212/g2^9 + g1^2*g2^3*t^6.212 + 3*g2^4*t^6.572 + (2*t^6.996)/g2^14 + 2*g2^8*t^7.145 - t^7.357/(g1^2*g2^13) - (2*t^7.357)/g2 - g1^2*g2^11*t^7.357 + t^7.569/(g1^2*g2^22) + (3*t^7.569)/g2^10 + g1^2*g2^2*t^7.569 + t^7.717/g1^2 + 3*g2^12*t^7.717 + g1^2*g2^24*t^7.717 - t^7.929/(g1^2*g2^9) - 2*g2^3*t^7.929 - g1^2*g2^15*t^7.929 + (2*t^8.141)/g2^6 + t^8.353/(g1^2*g2^27) + t^8.353/g2^15 + (g1^2*t^8.353)/g2^3 + t^8.565/g2^24 - (2*t^8.714)/(g1^2*g2^14) - (3*t^8.714)/g2^2 - 2*g1^2*g2^10*t^8.714 + (3*t^8.926)/(g1^2*g2^23) + (4*t^8.926)/g2^11 + 3*g1^2*g2*t^8.926 - t^4.357/(g2*y) - (g2^3*t^4.929)/y - t^7.071/(g2^3*y) - (2*g2*t^7.643)/y - (3*g2^5*t^8.216)/y - t^8.64/(g2^13*y) - (2*g2^9*t^8.788)/y - (t^4.357*y)/g2 - g2^3*t^4.929*y - (t^7.071*y)/g2^3 - 2*g2*t^7.643*y - 3*g2^5*t^8.216*y - (t^8.64*y)/g2^13 - 2*g2^9*t^8.788*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 |
---|---|---|---|---|---|---|---|---|
79584 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ | 2.2864 | 2.3625 | 0.9678 | [X:[], M:[0.9063, 1.0937, 1.0937], q:[0.7189, 0.7189], qb:[], phi:[], S:[0.4532, 0.6405], Sb:[], A:[], Ab:[]] | 2*t^3.281 + t^3.843 + t^4.314 + 3*t^5.673 - 4*t^6. - t^4.359/y - t^4.922/y - t^4.359*y - t^4.922*y | detail | |
79585 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ | 2.3038 | 2.3948 | 0.962 | [X:[], M:[0.9029, 1.0971, 0.9029], q:[0.7087, 0.7087], qb:[], phi:[], S:[0.4515, 0.6456], Sb:[], A:[], Ab:[]] | 2*t^2.709 + t^3.874 + t^4.252 + 3*t^5.417 + 3*t^5.607 - 4*t^6. - t^4.354/y - t^4.937/y - t^4.354*y - t^4.937*y | detail | |
79574 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}^{2}S_{1}$ | 2.2914 | 2.3677 | 0.9678 | [X:[], M:[0.9128, 1.0872], q:[0.7718, 0.705], qb:[], phi:[], S:[0.4564, 0.6308], Sb:[], A:[], Ab:[]] | t^2.738 + t^3.262 + t^3.785 + t^4.431 + t^5.477 + t^5.6 - t^4.369/y - t^4.892/y - t^4.369*y - t^4.892*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 |
---|---|---|---|---|---|---|---|---|---|
79490 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ | 2.4106 | 2.5416 | 0.9485 | [X:[], M:[0.8703, 0.8499], q:[0.6109, 0.6109], qb:[], phi:[], S:[0.575, 0.5547], Sb:[], A:[], Ab:[]] | t^2.55 + t^2.611 + t^3.328 + t^3.666 + t^5.1 + t^5.161 + t^5.222 + 3*t^5.33 + 3*t^5.391 + t^5.878 - 5*t^6. - t^4.664/y - t^4.725/y - t^4.664*y - t^4.725*y | detail |