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 |
---|---|---|---|---|---|---|---|---|---|
79484 | Sp2s2nf1 | ${}q_{1}q_{2}S_{1}$ + ${ }M_{1}S_{1}^{2}$ | 2.3726 | 2.4658 | 0.9622 | [X:[], M:[0.8501], q:[0.7125, 0.7125], qb:[], phi:[], S:[0.5749, 0.5209], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, 12]], q:[[-1, 6], [1, 0]], qb:[], phi:[], S:[[0, -6], [0, 5]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }S_{2}^{2}$, ${ }S_{1}S_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}S_{2}^{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{1}S_{1}S_{2}$, ${ }q_{1}^{2}S_{2}$ | ${}$ | -2 | t^2.55 + t^3.125 + t^3.287 + t^4.275 + t^5.101 + t^5.676 + 3*t^5.838 - 2*t^6. - t^6.162 + 2*t^6.251 + 2*t^6.413 + 3*t^6.575 + t^6.737 + t^6.826 + t^6.899 + 2*t^7.401 + t^7.563 + t^7.651 + t^8.226 + 3*t^8.388 - 4*t^8.55 - 3*t^8.713 + 2*t^8.801 + 6*t^8.963 - t^4.563/y - t^4.725/y - t^7.113/y + t^7.437/y - (2*t^7.688)/y - (3*t^7.85)/y - (2*t^8.012)/y - t^8.174/y + t^8.676/y - t^4.563*y - t^4.725*y - t^7.113*y + t^7.437*y - 2*t^7.688*y - 3*t^7.85*y - 2*t^8.012*y - t^8.174*y + t^8.676*y | g2^12*t^2.55 + g2^10*t^3.125 + t^3.287/g2 + g2^6*t^4.275 + g2^24*t^5.101 + g2^22*t^5.676 + g1^2*g2^5*t^5.838 + g2^11*t^5.838 + (g2^17*t^5.838)/g1^2 - 2*t^6. - t^6.162/g2^11 + 2*g2^20*t^6.251 + 2*g2^9*t^6.413 + (3*t^6.575)/g2^2 + t^6.737/g2^13 + g2^18*t^6.826 + t^6.899/g2^24 + 2*g2^16*t^7.401 + g2^5*t^7.563 + g2^36*t^7.651 + g2^34*t^8.226 + g1^2*g2^17*t^8.388 + g2^23*t^8.388 + (g2^29*t^8.388)/g1^2 - g1^2*g2^6*t^8.55 - 2*g2^12*t^8.55 - (g2^18*t^8.55)/g1^2 - (g1^2*t^8.713)/g2^5 - g2*t^8.713 - (g2^7*t^8.713)/g1^2 + 2*g2^32*t^8.801 + 2*g1^2*g2^15*t^8.963 + 2*g2^21*t^8.963 + (2*g2^27*t^8.963)/g1^2 - (g2^5*t^4.563)/y - t^4.725/(g2^6*y) - (g2^17*t^7.113)/y + t^7.437/(g2^5*y) - (2*g2^15*t^7.688)/y - (3*g2^4*t^7.85)/y - (2*t^8.012)/(g2^7*y) - t^8.174/(g2^18*y) + (g2^22*t^8.676)/y - g2^5*t^4.563*y - (t^4.725*y)/g2^6 - g2^17*t^7.113*y + (t^7.437*y)/g2^5 - 2*g2^15*t^7.688*y - 3*g2^4*t^7.85*y - (2*t^8.012*y)/g2^7 - (t^8.174*y)/g2^18 + g2^22*t^8.676*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 |
---|---|---|---|---|---|---|---|---|
79504 | ${}q_{1}q_{2}S_{1}$ + ${ }M_{1}S_{1}^{2}$ + ${ }M_{2}S_{1}S_{2}$ | 2.3813 | 2.4808 | 0.9599 | [X:[], M:[0.8482, 0.904], q:[0.7121, 0.7121], qb:[], phi:[], S:[0.5759, 0.5201], Sb:[], A:[], Ab:[]] | t^2.545 + t^2.712 + t^3.121 + t^4.272 + t^5.089 + t^5.257 + t^5.424 + t^5.665 + 3*t^5.833 - 2*t^6. - t^4.56/y - t^4.728/y - t^4.56*y - t^4.728*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 |
---|---|---|---|---|---|---|---|---|---|
79471 | Sp2s2nf1 | ${}q_{1}q_{2}S_{1}$ | 2.3603 | 2.4426 | 0.9663 | [X:[], M:[], q:[0.718, 0.718], qb:[], phi:[], S:[0.5641, 0.5299], Sb:[], A:[], Ab:[]] | t^3.18 + t^3.282 + t^3.384 + t^4.308 + 2*t^5.898 - 2*t^6. - t^4.59/y - t^4.692/y - t^4.59*y - t^4.692*y | detail |