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 |
---|---|---|---|---|---|---|---|---|---|
45927 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6484 | 0.7955 | 0.815 | [M:[0.6966, 0.7061], q:[0.4744, 0.829], qb:[0.8195, 0.4712], phi:[0.3515]] | [M:[[8, -8], [-1, -5]], q:[[-3, 5], [-5, 3]], qb:[[4, 0], [0, 4]], phi:[[1, -3]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -1 | t^2.09 + t^2.109 + t^2.118 + t^2.837 + t^3.872 + t^3.882 + t^3.891 + 2*t^3.901 + t^4.18 + t^4.199 + t^4.208 + t^4.218 + t^4.227 + t^4.237 + t^4.927 + 2*t^4.946 + t^4.955 + t^5.673 + t^5.962 + t^5.971 + t^5.981 + 2*t^5.99 - t^6. + t^6.01 + t^6.019 + t^6.27 + t^6.289 + t^6.298 + t^6.308 + t^6.317 + 2*t^6.327 + t^6.336 + t^6.346 + t^6.355 + t^6.709 + t^6.718 + t^6.728 + 2*t^6.737 + t^7.016 + t^7.035 - t^7.045 + t^7.744 + t^7.754 + 2*t^7.763 + t^7.773 + 2*t^7.782 + t^7.792 + 2*t^7.801 + t^8.052 + t^8.061 + t^8.071 + 2*t^8.08 - t^8.09 - t^8.118 + t^8.137 + t^8.359 + t^8.378 + t^8.388 + t^8.398 + t^8.407 + 2*t^8.417 + t^8.426 + 2*t^8.436 + 2*t^8.445 + t^8.455 + t^8.464 + t^8.474 + t^8.51 + t^8.799 + t^8.808 + t^8.818 + t^8.827 - 2*t^8.837 + t^8.846 - t^4.054/y - t^6.144/y - t^6.163/y - t^6.173/y + t^7.199/y + t^7.208/y + t^7.227/y + t^7.927/y + t^7.936/y + (2*t^7.946)/y + t^7.955/y + t^7.965/y - t^8.234/y - t^8.253/y - t^8.263/y - t^8.272/y - t^8.282/y - t^8.291/y + t^8.962/y + t^8.971/y + (2*t^8.981)/y + (4*t^8.99)/y - t^4.054*y - t^6.144*y - t^6.163*y - t^6.173*y + t^7.199*y + t^7.208*y + t^7.227*y + t^7.927*y + t^7.936*y + 2*t^7.946*y + t^7.955*y + t^7.965*y - t^8.234*y - t^8.253*y - t^8.263*y - t^8.272*y - t^8.282*y - t^8.291*y + t^8.962*y + t^8.971*y + 2*t^8.981*y + 4*t^8.99*y | (g1^8*t^2.09)/g2^8 + (g1^2*t^2.109)/g2^6 + t^2.118/(g1*g2^5) + (g2^9*t^2.837)/g1^3 + g1^4*g2^4*t^3.872 + g1*g2^5*t^3.882 + (g2^6*t^3.891)/g1^2 + (2*g2^7*t^3.901)/g1^5 + (g1^16*t^4.18)/g2^16 + (g1^10*t^4.199)/g2^14 + (g1^7*t^4.208)/g2^13 + (g1^4*t^4.218)/g2^12 + (g1*t^4.227)/g2^11 + t^4.237/(g1^2*g2^10) + g1^5*g2*t^4.927 + (2*g2^3*t^4.946)/g1 + (g2^4*t^4.955)/g1^4 + (g2^18*t^5.673)/g1^6 + (g1^12*t^5.962)/g2^4 + (g1^9*t^5.971)/g2^3 + (g1^6*t^5.981)/g2^2 + (2*g1^3*t^5.99)/g2 - t^6. + (g2*t^6.01)/g1^3 + (g2^2*t^6.019)/g1^6 + (g1^24*t^6.27)/g2^24 + (g1^18*t^6.289)/g2^22 + (g1^15*t^6.298)/g2^21 + (g1^12*t^6.308)/g2^20 + (g1^9*t^6.317)/g2^19 + (2*g1^6*t^6.327)/g2^18 + (g1^3*t^6.336)/g2^17 + t^6.346/g2^16 + t^6.355/(g1^3*g2^15) + g1*g2^13*t^6.709 + (g2^14*t^6.718)/g1^2 + (g2^15*t^6.728)/g1^5 + (2*g2^16*t^6.737)/g1^8 + (g1^13*t^7.016)/g2^7 + (g1^7*t^7.035)/g2^5 - (g1^4*t^7.045)/g2^4 + g1^8*g2^8*t^7.744 + g1^5*g2^9*t^7.754 + 2*g1^2*g2^10*t^7.763 + (g2^11*t^7.773)/g1 + (2*g2^12*t^7.782)/g1^4 + (g2^13*t^7.792)/g1^7 + (2*g2^14*t^7.801)/g1^10 + (g1^20*t^8.052)/g2^12 + (g1^17*t^8.061)/g2^11 + (g1^14*t^8.071)/g2^10 + (2*g1^11*t^8.08)/g2^9 - (g1^8*t^8.09)/g2^8 - t^8.118/(g1*g2^5) + t^8.137/(g1^7*g2^3) + (g1^32*t^8.359)/g2^32 + (g1^26*t^8.378)/g2^30 + (g1^23*t^8.388)/g2^29 + (g1^20*t^8.398)/g2^28 + (g1^17*t^8.407)/g2^27 + (2*g1^14*t^8.417)/g2^26 + (g1^11*t^8.426)/g2^25 + (2*g1^8*t^8.436)/g2^24 + (2*g1^5*t^8.445)/g2^23 + (g1^2*t^8.455)/g2^22 + t^8.464/(g1*g2^21) + t^8.474/(g1^4*g2^20) + (g2^27*t^8.51)/g1^9 + g1^9*g2^5*t^8.799 + g1^6*g2^6*t^8.808 + g1^3*g2^7*t^8.818 + g2^8*t^8.827 - (2*g2^9*t^8.837)/g1^3 + (g2^10*t^8.846)/g1^6 - (g1*t^4.054)/(g2^3*y) - (g1^9*t^6.144)/(g2^11*y) - (g1^3*t^6.163)/(g2^9*y) - t^6.173/(g2^8*y) + (g1^10*t^7.199)/(g2^14*y) + (g1^7*t^7.208)/(g2^13*y) + (g1*t^7.227)/(g2^11*y) + (g1^5*g2*t^7.927)/y + (g1^2*g2^2*t^7.936)/y + (2*g2^3*t^7.946)/(g1*y) + (g2^4*t^7.955)/(g1^4*y) + (g2^5*t^7.965)/(g1^7*y) - (g1^17*t^8.234)/(g2^19*y) - (g1^11*t^8.253)/(g2^17*y) - (g1^8*t^8.263)/(g2^16*y) - (g1^5*t^8.272)/(g2^15*y) - (g1^2*t^8.282)/(g2^14*y) - t^8.291/(g1*g2^13*y) + (g1^12*t^8.962)/(g2^4*y) + (g1^9*t^8.971)/(g2^3*y) + (2*g1^6*t^8.981)/(g2^2*y) + (4*g1^3*t^8.99)/(g2*y) - (g1*t^4.054*y)/g2^3 - (g1^9*t^6.144*y)/g2^11 - (g1^3*t^6.163*y)/g2^9 - (t^6.173*y)/g2^8 + (g1^10*t^7.199*y)/g2^14 + (g1^7*t^7.208*y)/g2^13 + (g1*t^7.227*y)/g2^11 + g1^5*g2*t^7.927*y + g1^2*g2^2*t^7.936*y + (2*g2^3*t^7.946*y)/g1 + (g2^4*t^7.955*y)/g1^4 + (g2^5*t^7.965*y)/g1^7 - (g1^17*t^8.234*y)/g2^19 - (g1^11*t^8.253*y)/g2^17 - (g1^8*t^8.263*y)/g2^16 - (g1^5*t^8.272*y)/g2^15 - (g1^2*t^8.282*y)/g2^14 - (t^8.291*y)/(g1*g2^13) + (g1^12*t^8.962*y)/g2^4 + (g1^9*t^8.971*y)/g2^3 + (2*g1^6*t^8.981*y)/g2^2 + (4*g1^3*t^8.99*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
45940 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ | 0.669 | 0.8353 | 0.8009 | [M:[0.6889, 0.7048, 0.6942], q:[0.4781, 0.8331], qb:[0.8172, 0.4728], phi:[0.3497]] | t^2.067 + t^2.082 + t^2.098 + t^2.114 + t^2.852 + t^3.87 + t^3.886 + t^3.902 + t^3.918 + t^4.133 + t^4.149 + 2*t^4.165 + 2*t^4.181 + 2*t^4.197 + t^4.213 + t^4.229 + t^4.919 + t^4.935 + 2*t^4.951 + t^4.967 + t^5.705 + t^5.936 + 2*t^5.952 + 2*t^5.968 + 2*t^5.984 - t^4.049/y - t^4.049*y | detail | |
45957 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6689 | 0.8347 | 0.8014 | [M:[0.7027, 0.6964, 0.6943], q:[0.4751, 0.8222], qb:[0.8285, 0.4772], phi:[0.3492]] | t^2.083 + t^2.089 + t^2.095 + t^2.108 + t^2.857 + 2*t^3.898 + t^3.905 + t^3.911 + t^4.166 + t^4.172 + 2*t^4.178 + t^4.185 + 2*t^4.191 + t^4.197 + t^4.203 + t^4.216 + t^4.94 + t^4.946 + 2*t^4.952 + t^4.965 + t^5.714 + 2*t^5.981 + 2*t^5.987 + 2*t^5.994 - t^6. - t^4.048/y - t^4.048*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 |
---|---|---|---|---|---|---|---|---|---|
45860 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6485 | 0.7967 | 0.8141 | [M:[0.696, 0.696], q:[0.4802, 0.8238], qb:[0.8238, 0.4626], phi:[0.3524]] | 2*t^2.088 + t^2.114 + t^2.828 + t^3.833 + 2*t^3.859 + t^3.886 + t^3.939 + 3*t^4.176 + 2*t^4.202 + t^4.229 + 2*t^4.916 + 2*t^4.943 + t^5.657 + 2*t^5.921 + 4*t^5.947 + 2*t^5.974 - 2*t^6. - t^4.057/y - t^4.057*y | detail |