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 |
---|---|---|---|---|---|---|---|---|---|
79453 | SO5a2nf1 | ${}A_{1}^{2}M_{1}$ + ${ }A_{1}A_{2}M_{2}$ | 2.3522 | 2.4141 | 0.9744 | [X:[], M:[0.8415, 0.8615], q:[0.5845], qb:[], phi:[], S:[], Sb:[], A:[0.5792, 0.5593], Ab:[]] | [X:[], M:[[2, 0], [0, 1]], q:[[0, 3]], qb:[], phi:[], S:[], Sb:[], A:[[-1, 0], [1, -1]], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }A_{2}^{2}$, ${ }q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }A_{2}^{2}q_{1}$, ${ }M_{2}^{2}$, ${ }A_{1}A_{2}q_{1}$, ${ }A_{1}^{2}q_{1}$, ${ }A_{2}^{2}M_{1}$ | ${}$ | -2 | t^2.525 + t^2.584 + t^3.356 + t^3.507 + t^5.049 + 2*t^5.109 + 2*t^5.169 + t^5.229 + t^5.88 - 2*t^6. + t^6.031 - t^6.06 + t^6.091 + 2*t^6.711 + t^6.771 + 2*t^6.831 + t^6.847 + 2*t^6.862 + t^6.891 + t^6.907 + t^6.922 + t^6.951 + t^6.982 + t^7.014 + t^7.574 - t^7.602 + 2*t^7.634 - t^7.662 - t^7.678 + 2*t^7.694 - t^7.722 - t^7.738 + 2*t^7.753 + t^8.405 + t^8.465 + t^8.556 + t^8.584 + t^8.6 + 2*t^8.616 + t^8.66 + 2*t^8.676 + t^8.736 - t^4.678/y - t^4.738/y - t^6.431/y - t^6.491/y - t^7.202/y - t^7.262/y - (2*t^8.033)/y - (2*t^8.093)/y + t^8.109/y - t^8.153/y - t^8.169/y - t^8.185/y - t^8.213/y - t^8.245/y + t^8.88/y + t^8.924/y + t^8.94/y - t^8.956/y + t^8.984/y - t^4.678*y - t^4.738*y - t^6.431*y - t^6.491*y - t^7.202*y - t^7.262*y - 2*t^8.033*y - 2*t^8.093*y + t^8.109*y - t^8.153*y - t^8.169*y - t^8.185*y - t^8.213*y - t^8.245*y + t^8.88*y + t^8.924*y + t^8.94*y - t^8.956*y + t^8.984*y | g1^2*t^2.525 + g2*t^2.584 + (g1^2*t^3.356)/g2^2 + g2^6*t^3.507 + g1^4*t^5.049 + 2*g1^2*g2*t^5.109 + 2*g2^2*t^5.169 + (g2^3*t^5.229)/g1^2 + (g1^4*t^5.88)/g2^2 - 2*t^6. + g1^2*g2^6*t^6.031 - (g2*t^6.06)/g1^2 + g2^7*t^6.091 + (2*g1^4*t^6.711)/g2^4 + (g1^2*t^6.771)/g2^3 + (2*t^6.831)/g2^2 + g1*g2*t^6.847 + 2*g1^2*g2^4*t^6.862 + t^6.891/(g1^2*g2) + (g2^2*t^6.907)/g1 + g2^5*t^6.922 + t^6.951/g1^4 + (g2^6*t^6.982)/g1^2 + g2^12*t^7.014 + g1^6*t^7.574 - (g1^2*t^7.602)/g2^5 + 2*g1^4*g2*t^7.634 - t^7.662/g2^4 - (g1*t^7.678)/g2 + 2*g1^2*g2^2*t^7.694 - t^7.722/(g1^2*g2^3) - t^7.738/g1 + 2*g2^3*t^7.753 + (g1^6*t^8.405)/g2^2 + (g1^4*t^8.465)/g2 + g1^4*g2^6*t^8.556 + g2*t^8.584 + g1*g2^4*t^8.6 + 2*g1^2*g2^7*t^8.616 + (g2^5*t^8.66)/g1 + 2*g2^8*t^8.676 + (g2^9*t^8.736)/g1^2 - (g1*t^4.678)/(g2*y) - t^4.738/(g1*y) - (g1*g2^2*t^6.431)/y - (g2^3*t^6.491)/(g1*y) - (g1^3*t^7.202)/(g2*y) - (g1*t^7.262)/y - (2*g1^3*t^8.033)/(g2^3*y) - (2*g1*t^8.093)/(g2^2*y) + (g1^2*g2*t^8.109)/y - t^8.153/(g1*g2*y) - (g2^2*t^8.169)/y - (g1*g2^5*t^8.185)/y - t^8.213/(g1^3*y) - (g2^6*t^8.245)/(g1*y) + (g1^4*t^8.88)/(g2^2*y) + (g1*t^8.924)/(g2^4*y) + (g1^2*t^8.94)/(g2*y) - (g1^3*g2^2*t^8.956)/y + t^8.984/(g1*g2^3*y) - (g1*t^4.678*y)/g2 - (t^4.738*y)/g1 - g1*g2^2*t^6.431*y - (g2^3*t^6.491*y)/g1 - (g1^3*t^7.202*y)/g2 - g1*t^7.262*y - (2*g1^3*t^8.033*y)/g2^3 - (2*g1*t^8.093*y)/g2^2 + g1^2*g2*t^8.109*y - (t^8.153*y)/(g1*g2) - g2^2*t^8.169*y - g1*g2^5*t^8.185*y - (t^8.213*y)/g1^3 - (g2^6*t^8.245*y)/g1 + (g1^4*t^8.88*y)/g2^2 + (g1*t^8.924*y)/g2^4 + (g1^2*t^8.94*y)/g2 - g1^3*g2^2*t^8.956*y + (t^8.984*y)/(g1*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 |
---|---|---|---|---|---|---|---|---|
79464 | ${}A_{1}^{2}M_{1}$ + ${ }A_{1}A_{2}M_{2}$ + ${ }A_{2}^{2}M_{3}$ | 2.3638 | 2.4342 | 0.9711 | [X:[], M:[0.8592, 0.8592, 0.8592], q:[0.5777], qb:[], phi:[], S:[], Sb:[], A:[0.5704, 0.5704], Ab:[]] | 3*t^2.578 + t^3.466 + 9*t^5.155 - 4*t^6. - (2*t^4.711)/y - 2*t^4.711*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 |
---|---|---|---|---|---|---|---|---|---|
79442 | SO5a2nf1 | ${}A_{1}^{2}M_{1}$ | 2.3401 | 2.3924 | 0.9781 | [X:[], M:[0.8436], q:[0.5911], qb:[], phi:[], S:[], Sb:[], A:[0.5782, 0.5581], Ab:[]] | t^2.531 + t^3.349 + t^3.409 + t^3.547 + t^5.062 + t^5.122 + t^5.182 + t^5.242 + t^5.88 - 2*t^6. - t^4.674/y - t^4.735/y - t^4.674*y - t^4.735*y | detail |