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 |
---|---|---|---|---|---|---|---|---|---|
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:[]] | [X:[], M:[[2, 0]], 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 |
---|---|---|---|---|
${}M_{1}$, ${ }A_{2}^{2}$, ${ }A_{1}A_{2}$, ${ }q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }A_{2}^{2}q_{1}$, ${ }A_{1}A_{2}q_{1}$, ${ }A_{1}^{2}q_{1}$, ${ }A_{2}^{2}M_{1}$ | ${}$ | -2 | 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^6.06 + t^6.077 + 2*t^6.697 + 2*t^6.758 + 3*t^6.818 + t^6.857 + t^6.878 + 2*t^6.895 + t^6.917 + t^6.938 + 2*t^6.955 + t^7.016 + t^7.093 - t^7.575 + t^7.593 - t^7.636 + t^7.653 - t^7.674 - t^7.696 - t^7.735 - t^7.833 + t^8.41 + t^8.471 + t^8.531 + 4*t^8.591 + t^8.608 + t^8.63 + 2*t^8.651 + t^8.668 + t^8.69 + t^8.729 + t^8.789 - t^4.674/y - t^4.735/y - t^6.448/y - t^6.508/y - t^7.205/y + t^7.326/y - (2*t^8.023)/y - (3*t^8.083)/y - (2*t^8.143)/y - t^8.182/y - t^8.204/y - t^8.221/y - t^8.281/y + t^8.88/y + t^8.901/y + t^8.94/y + t^8.961/y - t^8.979/y - t^4.674*y - t^4.735*y - t^6.448*y - t^6.508*y - t^7.205*y + t^7.326*y - 2*t^8.023*y - 3*t^8.083*y - 2*t^8.143*y - t^8.182*y - t^8.204*y - t^8.221*y - t^8.281*y + t^8.88*y + t^8.901*y + t^8.94*y + t^8.961*y - t^8.979*y | g1^2*t^2.531 + (g1^2*t^3.349)/g2^2 + t^3.409/g2 + g2^6*t^3.547 + g1^4*t^5.062 + g1^2*g2*t^5.122 + g2^2*t^5.182 + (g2^3*t^5.242)/g1^2 + (g1^4*t^5.88)/g2^2 - 2*t^6. - (g2*t^6.06)/g1^2 + g1^2*g2^6*t^6.077 + (2*g1^4*t^6.697)/g2^4 + (2*g1^2*t^6.758)/g2^3 + (3*t^6.818)/g2^2 + g1*g2*t^6.857 + t^6.878/(g1^2*g2) + 2*g1^2*g2^4*t^6.895 + (g2^2*t^6.917)/g1 + t^6.938/g1^4 + 2*g2^5*t^6.955 + (g2^6*t^7.016)/g1^2 + g2^12*t^7.093 - (g1^2*t^7.575)/g2^5 + g1^6*t^7.593 - t^7.636/g2^4 + g1^4*g2*t^7.653 - (g1*t^7.674)/g2 - t^7.696/(g1^2*g2^3) - t^7.735/g1 - (g2^4*t^7.833)/g1^2 + (g1^6*t^8.41)/g2^2 + (g1^4*t^8.471)/g2 + g1^2*t^8.531 + 4*g2*t^8.591 + g1^4*g2^6*t^8.608 + g1*g2^4*t^8.63 + (2*g2^2*t^8.651)/g1^2 + g1^2*g2^7*t^8.668 + (g2^5*t^8.69)/g1 + g2^8*t^8.729 + (g2^9*t^8.789)/g1^2 - (g1*t^4.674)/(g2*y) - t^4.735/(g1*y) - (g1*g2^2*t^6.448)/y - (g2^3*t^6.508)/(g1*y) - (g1^3*t^7.205)/(g2*y) + (g2*t^7.326)/(g1*y) - (2*g1^3*t^8.023)/(g2^3*y) - (3*g1*t^8.083)/(g2^2*y) - (2*t^8.143)/(g1*g2*y) - (g2^2*t^8.182)/y - t^8.204/(g1^3*y) - (g1*g2^5*t^8.221)/y - (g2^6*t^8.281)/(g1*y) + (g1^4*t^8.88)/(g2^2*y) + (g1*t^8.901)/(g2^4*y) + (g1^2*t^8.94)/(g2*y) + t^8.961/(g1*g2^3*y) - (g1^3*g2^2*t^8.979)/y - (g1*t^4.674*y)/g2 - (t^4.735*y)/g1 - g1*g2^2*t^6.448*y - (g2^3*t^6.508*y)/g1 - (g1^3*t^7.205*y)/g2 + (g2*t^7.326*y)/g1 - (2*g1^3*t^8.023*y)/g2^3 - (3*g1*t^8.083*y)/g2^2 - (2*t^8.143*y)/(g1*g2) - g2^2*t^8.182*y - (t^8.204*y)/g1^3 - g1*g2^5*t^8.221*y - (g2^6*t^8.281*y)/g1 + (g1^4*t^8.88*y)/g2^2 + (g1*t^8.901*y)/g2^4 + (g1^2*t^8.94*y)/g2 + (t^8.961*y)/(g1*g2^3) - g1^3*g2^2*t^8.979*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 |
---|---|---|---|---|---|---|---|---|
79453 | ${}A_{1}^{2}M_{1}$ + ${ }A_{1}A_{2}M_{2}$ | 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:[]] | 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^4.678/y - t^4.738/y - t^4.678*y - t^4.738*y | detail | |
79455 | ${}A_{1}^{2}M_{1}$ + ${ }A_{2}^{2}M_{2}$ | 2.3515 | 2.4121 | 0.9749 | [X:[], M:[0.8614, 0.8614], q:[0.5841], qb:[], phi:[], S:[], Sb:[], A:[0.5693, 0.5693], Ab:[]] | 2*t^2.584 + t^3.416 + t^3.505 + 6*t^5.168 - 2*t^6. - (2*t^4.708)/y - 2*t^4.708*y | detail | |
79460 | ${}A_{1}^{2}M_{1}$ + ${ }M_{1}^{2}$ | 2.2973 | 2.3352 | 0.9838 | [X:[], M:[1.0], q:[0.6359], qb:[], phi:[], S:[], Sb:[], A:[0.5, 0.6214], Ab:[]] | t^3. + t^3.364 + t^3.728 + t^3.815 + t^4.908 + t^5.272 - t^4.5/y - t^4.864/y - t^4.5*y - t^4.864*y | detail | |
79451 | ${}A_{1}^{2}M_{1}$ + ${ }M_{2}q_{1}^{2}$ | 2.3571 | 2.4209 | 0.9737 | [X:[], M:[0.8517, 0.767], q:[0.6165], qb:[], phi:[], S:[], Sb:[], A:[0.5741, 0.5537], Ab:[]] | t^2.301 + t^2.555 + t^3.322 + t^3.384 + t^4.602 + t^4.856 + t^5.11 + t^5.172 + t^5.233 + t^5.294 + t^5.623 + t^5.685 + t^5.877 - 2*t^6. - t^4.661/y - t^4.722/y - t^4.661*y - t^4.722*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 |