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 |
---|---|---|---|---|---|---|---|---|---|
79443 | SO5a2nf1 | ${}A_{1}A_{2}M_{1}$ | 2.3393 | 2.3904 | 0.9786 | [X:[], M:[0.8636], q:[0.5907], qb:[], phi:[], S:[], Sb:[], A:[0.5682, 0.5682], Ab:[]] | [X:[], M:[[0, 1]], q:[[0, 3]], qb:[], phi:[], S:[], Sb:[], A:[[-1, -1], [1, 0]], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }A_{2}^{2}$, ${ }A_{1}^{2}$, ${ }q_{1}^{2}$, ${ }A_{1}^{2}q_{1}$, ${ }M_{1}^{2}$, ${ }A_{1}A_{2}q_{1}$, ${ }A_{2}^{2}q_{1}$ | ${}$ | -2 | t^2.591 + 2*t^3.409 + t^3.544 + 4*t^5.181 - 2*t^6. + t^6.135 + 9*t^6.819 + 2*t^6.886 + 5*t^6.954 + t^7.089 - 3*t^7.637 - 2*t^7.705 + t^7.772 + 9*t^8.591 + 2*t^8.658 + 4*t^8.726 - (2*t^4.705)/y - (2*t^6.477)/y - (8*t^8.114)/y - t^8.181/y - (2*t^8.249)/y + (2*t^8.932)/y - 2*t^4.705*y - 2*t^6.477*y - 8*t^8.114*y - t^8.181*y - 2*t^8.249*y + 2*t^8.932*y | g2*t^2.591 + g1^2*t^3.409 + t^3.409/(g1^2*g2^2) + g2^6*t^3.544 + (g2*t^5.181)/g1^2 + 2*g2^2*t^5.181 + g1^2*g2^3*t^5.181 - 2*t^6. + g2^7*t^6.135 + 2*g1^4*t^6.819 + (2*t^6.819)/(g1^4*g2^4) + t^6.819/(g1^2*g2^3) + (3*t^6.819)/g2^2 + (g1^2*t^6.819)/g2 + (g2*t^6.886)/g1 + g1*g2^2*t^6.886 + (2*g2^4*t^6.954)/g1^2 + g2^5*t^6.954 + 2*g1^2*g2^6*t^6.954 + g2^12*t^7.089 - t^7.637/(g1^2*g2^5) - t^7.637/g2^4 - (g1^2*t^7.637)/g2^3 - g1*t^7.705 - t^7.705/(g1*g2) + g2^3*t^7.772 + (2*t^8.591)/g1^2 + t^8.591/(g1^4*g2) + 3*g2*t^8.591 + 2*g1^2*g2^2*t^8.591 + g1^4*g2^3*t^8.591 + (g2^4*t^8.658)/g1 + g1*g2^5*t^8.658 + (g2^7*t^8.726)/g1^2 + 2*g2^8*t^8.726 + g1^2*g2^9*t^8.726 - (g1*t^4.705)/y - t^4.705/(g1*g2*y) - (g2^2*t^6.477)/(g1*y) - (g1*g2^3*t^6.477)/y - (2*g1^3*t^8.114)/y - (2*t^8.114)/(g1^3*g2^3*y) - (2*t^8.114)/(g1*g2^2*y) - (2*g1*t^8.114)/(g2*y) - (g2^2*t^8.181)/y - (g2^5*t^8.249)/(g1*y) - (g1*g2^6*t^8.249)/y + t^8.932/(g1*g2^4*y) + (g1*t^8.932)/(g2^3*y) - g1*t^4.705*y - (t^4.705*y)/(g1*g2) - (g2^2*t^6.477*y)/g1 - g1*g2^3*t^6.477*y - 2*g1^3*t^8.114*y - (2*t^8.114*y)/(g1^3*g2^3) - (2*t^8.114*y)/(g1*g2^2) - (2*g1*t^8.114*y)/g2 - g2^2*t^8.181*y - (g2^5*t^8.249*y)/g1 - g1*g2^6*t^8.249*y + (t^8.932*y)/(g1*g2^4) + (g1*t^8.932*y)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
79456 | ${}A_{1}A_{2}M_{1}$ + ${ }M_{2}q_{1}^{2}$ | 2.3563 | 2.4188 | 0.9742 | [X:[], M:[0.8721, 0.7675], q:[0.6162], qb:[], phi:[], S:[], Sb:[], A:[0.564, 0.564], Ab:[]] | t^2.303 + t^2.616 + 2*t^3.384 + t^4.605 + t^4.919 + 4*t^5.232 + 2*t^5.686 - 2*t^6. - (2*t^4.692)/y - 2*t^4.692*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 |
---|---|---|---|---|---|---|---|---|---|
79439 | SO5a2nf1 | ${}$ | 2.3273 | 2.3692 | 0.9823 | [X:[], M:[], q:[0.5975], qb:[], phi:[], S:[], Sb:[], A:[0.5671, 0.5671], Ab:[]] | 3*t^3.402 + t^3.585 + 3*t^5.195 - 4*t^6. - (2*t^4.701)/y - 2*t^4.701*y | detail |