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 |
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1744 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.688 | 0.8541 | 0.8054 | [M:[0.6825, 1.1058, 1.0016, 0.7867], q:[0.7765, 0.5411], qb:[0.4574, 0.4368], phi:[0.4471]] | [M:[[12, 12], [-4, -4], [7, 11], [1, -3]], q:[[-1, -1], [-11, -11]], qb:[[4, 0], [0, 4]], phi:[[2, 2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.047 + t^2.36 + t^2.682 + t^2.934 + t^3.005 + t^3.318 + t^3.701 + t^3.962 + t^4.024 + t^4.085 + t^4.095 + t^4.275 + t^4.336 + t^4.408 + t^4.588 + t^4.72 + t^4.73 + t^4.981 + t^5.043 + t^5.052 + t^5.294 + 3*t^5.365 + t^5.616 + t^5.678 + t^5.867 - 2*t^6. + 2*t^6.009 + t^6.071 + t^6.133 + t^6.142 - t^6.313 + 2*t^6.322 + 2*t^6.384 + t^6.446 + t^6.455 + 2*t^6.635 + t^6.645 + t^6.697 + t^6.706 + 2*t^6.768 + t^6.777 + t^6.896 + t^6.948 + t^6.967 + t^7.019 + t^7.028 + t^7.081 + t^7.09 + t^7.1 + t^7.208 + t^7.27 + t^7.403 + 3*t^7.412 + t^7.521 + t^7.664 + 3*t^7.725 + t^7.787 + t^7.924 + t^7.986 + t^8.038 + 2*t^8.057 + t^8.119 + t^8.171 + t^8.18 + t^8.19 + t^8.237 + t^8.299 - 3*t^8.36 + 3*t^8.37 + t^8.422 + t^8.431 + t^8.493 + t^8.503 + 2*t^8.55 - t^8.621 + t^8.692 + t^8.744 + t^8.754 + t^8.801 + t^8.806 + 2*t^8.815 + t^8.825 + t^8.862 + t^8.924 - 3*t^8.934 + t^8.943 - t^4.341/y - t^6.389/y - t^6.701/y + t^7.336/y - t^7.346/y + t^7.408/y + t^7.73/y + (2*t^7.981)/y + t^8.043/y + t^8.052/y + (2*t^8.294)/y + (2*t^8.365)/y - t^8.436/y + t^8.616/y + t^8.678/y + t^8.687/y + t^8.938/y - t^4.341*y - t^6.389*y - t^6.701*y + t^7.336*y - t^7.346*y + t^7.408*y + t^7.73*y + 2*t^7.981*y + t^8.043*y + t^8.052*y + 2*t^8.294*y + 2*t^8.365*y - t^8.436*y + t^8.616*y + t^8.678*y + t^8.687*y + t^8.938*y | g1^12*g2^12*t^2.047 + (g1*t^2.36)/g2^3 + g1^4*g2^4*t^2.682 + t^2.934/(g1^11*g2^7) + g1^7*g2^11*t^3.005 + t^3.318/(g1^4*g2^4) + (g1^3*t^3.701)/g2 + g1^2*g2^10*t^3.962 + g1^6*g2^6*t^4.024 + g1^10*g2^2*t^4.085 + g1^24*g2^24*t^4.095 + t^4.275/(g1^9*g2^5) + t^4.336/(g1^5*g2^9) + g1^13*g2^9*t^4.408 + t^4.588/(g1^20*g2^20) + (g1^2*t^4.72)/g2^6 + g1^16*g2^16*t^4.73 + g1*g2^5*t^4.981 + g1^5*g2*t^5.043 + g1^19*g2^23*t^5.052 + t^5.294/(g1^10*g2^10) + 3*g1^8*g2^8*t^5.365 + t^5.616/(g1^7*g2^3) + t^5.678/(g1^3*g2^7) + t^5.867/(g1^22*g2^14) - 2*t^6. + 2*g1^14*g2^22*t^6.009 + g1^18*g2^18*t^6.071 + g1^22*g2^14*t^6.133 + g1^36*g2^36*t^6.142 - t^6.313/(g1^11*g2^15) + 2*g1^3*g2^7*t^6.322 + 2*g1^7*g2^3*t^6.384 + (g1^11*t^6.446)/g2 + g1^25*g2^21*t^6.455 + (2*t^6.635)/(g1^8*g2^8) + g1^6*g2^14*t^6.645 + t^6.697/(g1^4*g2^12) + g1^10*g2^10*t^6.706 + 2*g1^14*g2^6*t^6.768 + g1^28*g2^28*t^6.777 + (g2^3*t^6.896)/g1^9 + t^6.948/(g1^19*g2^23) + g1^9*g2^21*t^6.967 + t^7.019/(g1*g2^5) + g1^13*g2^17*t^7.028 + (g1^3*t^7.081)/g2^9 + g1^17*g2^13*t^7.09 + g1^31*g2^35*t^7.1 + t^7.208/(g1^20*g2^12) + t^7.27/(g1^16*g2^16) + (g1^6*t^7.403)/g2^2 + 3*g1^20*g2^20*t^7.412 + t^7.521/(g1^31*g2^27) + g1^5*g2^9*t^7.664 + 3*g1^9*g2^5*t^7.725 + g1^13*g2*t^7.787 + g1^4*g2^20*t^7.924 + g1^8*g2^16*t^7.986 + t^8.038/(g1^2*g2^10) + 2*g1^26*g2^34*t^8.057 + g1^30*g2^30*t^8.119 + g1^20*g2^4*t^8.171 + g1^34*g2^26*t^8.18 + g1^48*g2^48*t^8.19 + (g2^5*t^8.237)/g1^7 + (g2*t^8.299)/g1^3 - (3*g1*t^8.36)/g2^3 + 3*g1^15*g2^19*t^8.37 + (g1^5*t^8.422)/g2^7 + g1^19*g2^15*t^8.431 + g1^23*g2^11*t^8.493 + g1^37*g2^33*t^8.503 + (2*t^8.55)/(g1^18*g2^10) - g2^8*t^8.621 + g1^18*g2^26*t^8.692 + g1^8*t^8.744 + g1^22*g2^22*t^8.754 + t^8.801/(g1^33*g2^21) + (g1^12*t^8.806)/g2^4 + 2*g1^26*g2^18*t^8.815 + g1^40*g2^40*t^8.825 + t^8.862/(g1^29*g2^25) + t^8.924/(g1^25*g2^29) - (3*t^8.934)/(g1^11*g2^7) + g1^3*g2^15*t^8.943 - (g1^2*g2^2*t^4.341)/y - (g1^14*g2^14*t^6.389)/y - (g1^3*t^6.701)/(g2*y) + t^7.336/(g1^5*g2^9*y) - (g1^9*g2^13*t^7.346)/y + (g1^13*g2^9*t^7.408)/y + (g1^16*g2^16*t^7.73)/y + (2*g1*g2^5*t^7.981)/y + (g1^5*g2*t^8.043)/y + (g1^19*g2^23*t^8.052)/y + (2*t^8.294)/(g1^10*g2^10*y) + (2*g1^8*g2^8*t^8.365)/y - (g1^26*g2^26*t^8.436)/y + t^8.616/(g1^7*g2^3*y) + t^8.678/(g1^3*g2^7*y) + (g1^11*g2^15*t^8.687)/y + (g2^4*t^8.938)/(g1^4*y) - g1^2*g2^2*t^4.341*y - g1^14*g2^14*t^6.389*y - (g1^3*t^6.701*y)/g2 + (t^7.336*y)/(g1^5*g2^9) - g1^9*g2^13*t^7.346*y + g1^13*g2^9*t^7.408*y + g1^16*g2^16*t^7.73*y + 2*g1*g2^5*t^7.981*y + g1^5*g2*t^8.043*y + g1^19*g2^23*t^8.052*y + (2*t^8.294*y)/(g1^10*g2^10) + 2*g1^8*g2^8*t^8.365*y - g1^26*g2^26*t^8.436*y + (t^8.616*y)/(g1^7*g2^3) + (t^8.678*y)/(g1^3*g2^7) + g1^11*g2^15*t^8.687*y + (g2^4*t^8.938*y)/g1^4 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
219 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.6711 | 0.825 | 0.8135 | [M:[0.6804, 1.1065, 0.9852], q:[0.7766, 0.543], qb:[0.4718, 0.4217], phi:[0.4467]] | t^2.041 + t^2.68 + t^2.894 + t^2.956 + t^3.32 + t^3.595 + t^3.745 + t^3.87 + t^4.021 + t^4.082 + t^4.171 + t^4.234 + t^4.384 + t^4.598 + t^4.722 + t^4.935 + t^4.997 + 2*t^5.361 + t^5.574 + t^5.636 + t^5.788 + 2*t^5.911 - 2*t^6. - t^4.34/y - t^4.34*y | detail |