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 |
---|---|---|---|---|---|---|---|---|---|
55295 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6689 | 0.8376 | 0.7985 | [M:[1.1715, 1.0713, 0.8285, 0.8144, 0.7142, 1.0572], q:[0.4072, 0.4213], qb:[0.5215, 0.7643], phi:[0.4714]] | [M:[[12], [-30], [-12], [22], [-20], [4]], q:[[11], [-23]], qb:[[19], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$ | ${}M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.143 + t^2.443 + t^2.486 + t^2.829 + t^3.171 + t^3.214 + t^3.514 + t^3.857 + t^3.9 + t^3.942 + t^4.2 + t^4.243 + t^4.285 + t^4.543 + t^4.586 + t^4.628 + t^4.886 + t^4.929 + 2*t^4.971 + t^5.272 + 2*t^5.314 + t^5.356 + t^5.615 + 3*t^5.657 + t^6.042 + t^6.085 + 2*t^6.343 + 3*t^6.385 + 3*t^6.428 + t^6.644 + 3*t^6.686 + 2*t^6.728 + 2*t^6.771 + t^6.987 + 2*t^7.029 + t^7.071 + 2*t^7.114 + t^7.156 + t^7.33 + 2*t^7.372 + t^7.414 + 3*t^7.457 + t^7.499 + t^7.715 + 2*t^7.757 + 4*t^7.8 + t^7.842 + t^7.884 + 2*t^8.058 + t^8.1 + t^8.143 + 2*t^8.185 + t^8.227 + t^8.401 - 2*t^8.443 + 2*t^8.486 + 2*t^8.528 + 3*t^8.57 + t^8.744 + t^8.786 + 2*t^8.829 + 4*t^8.871 + 3*t^8.913 - t^4.414/y - t^6.557/y - t^6.857/y + t^7.2/y + t^7.586/y + t^7.929/y + (2*t^7.971)/y + (2*t^8.272)/y + (2*t^8.314)/y + t^8.356/y + t^8.615/y + (3*t^8.657)/y + t^8.958/y - t^4.414*y - t^6.557*y - t^6.857*y + t^7.2*y + t^7.586*y + t^7.929*y + 2*t^7.971*y + 2*t^8.272*y + 2*t^8.314*y + t^8.356*y + t^8.615*y + 3*t^8.657*y + t^8.958*y | t^2.143/g1^20 + g1^22*t^2.443 + t^2.486/g1^12 + t^2.829/g1^4 + g1^4*t^3.171 + t^3.214/g1^30 + g1^12*t^3.514 + g1^20*t^3.857 + t^3.9/g1^14 + t^3.942/g1^48 + g1^28*t^4.2 + t^4.243/g1^6 + t^4.285/g1^40 + g1^36*t^4.543 + g1^2*t^4.586 + t^4.628/g1^32 + g1^44*t^4.886 + g1^10*t^4.929 + (2*t^4.971)/g1^24 + g1^18*t^5.272 + (2*t^5.314)/g1^16 + t^5.356/g1^50 + g1^26*t^5.615 + (3*t^5.657)/g1^8 + t^6.042/g1^34 + t^6.085/g1^68 + 2*g1^8*t^6.343 + (3*t^6.385)/g1^26 + (3*t^6.428)/g1^60 + g1^50*t^6.644 + 3*g1^16*t^6.686 + (2*t^6.728)/g1^18 + (2*t^6.771)/g1^52 + g1^58*t^6.987 + 2*g1^24*t^7.029 + t^7.071/g1^10 + (2*t^7.114)/g1^44 + t^7.156/g1^78 + g1^66*t^7.33 + 2*g1^32*t^7.372 + t^7.414/g1^2 + (3*t^7.457)/g1^36 + t^7.499/g1^70 + g1^40*t^7.715 + 2*g1^6*t^7.757 + (4*t^7.8)/g1^28 + t^7.842/g1^62 + t^7.884/g1^96 + 2*g1^48*t^8.058 + g1^14*t^8.1 + t^8.143/g1^20 + (2*t^8.185)/g1^54 + t^8.227/g1^88 + g1^56*t^8.401 - 2*g1^22*t^8.443 + (2*t^8.486)/g1^12 + (2*t^8.528)/g1^46 + (3*t^8.57)/g1^80 + g1^64*t^8.744 + g1^30*t^8.786 + (2*t^8.829)/g1^4 + (4*t^8.871)/g1^38 + (3*t^8.913)/g1^72 - t^4.414/(g1^2*y) - t^6.557/(g1^22*y) - (g1^20*t^6.857)/y + (g1^28*t^7.2)/y + (g1^2*t^7.586)/y + (g1^10*t^7.929)/y + (2*t^7.971)/(g1^24*y) + (2*g1^18*t^8.272)/y + (2*t^8.314)/(g1^16*y) + t^8.356/(g1^50*y) + (g1^26*t^8.615)/y + (3*t^8.657)/(g1^8*y) + (g1^34*t^8.958)/y - (t^4.414*y)/g1^2 - (t^6.557*y)/g1^22 - g1^20*t^6.857*y + g1^28*t^7.2*y + g1^2*t^7.586*y + g1^10*t^7.929*y + (2*t^7.971*y)/g1^24 + 2*g1^18*t^8.272*y + (2*t^8.314*y)/g1^16 + (t^8.356*y)/g1^50 + g1^26*t^8.615*y + (3*t^8.657*y)/g1^8 + g1^34*t^8.958*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 |
---|---|---|---|---|---|---|---|---|
56985 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6897 | 0.8784 | 0.7852 | [M:[1.1697, 1.0758, 0.8303, 0.8111, 0.7172, 1.0566, 0.6787], q:[0.4055, 0.4248], qb:[0.5186, 0.7641], phi:[0.4717]] | t^2.036 + t^2.152 + t^2.433 + t^2.491 + t^2.83 + t^3.17 + t^3.227 + t^3.509 + t^3.848 + t^3.906 + t^4.072 + 2*t^4.188 + t^4.245 + t^4.303 + t^4.469 + 2*t^4.527 + t^4.585 + t^4.643 + 2*t^4.866 + t^4.924 + 2*t^4.982 + t^5.206 + 2*t^5.264 + 2*t^5.321 + t^5.379 + t^5.545 + t^5.603 + 3*t^5.661 + t^5.884 + t^5.942 - t^4.415/y - t^4.415*y | detail | |
56983 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6636 | 0.8287 | 0.8008 | [M:[1.1694, 1.0765, 0.8306, 0.8106, 0.7176, 1.0565, 1.0565], q:[0.4053, 0.4253], qb:[0.5182, 0.7641], phi:[0.4718]] | t^2.153 + t^2.432 + t^2.492 + 2*t^3.169 + t^3.229 + t^3.508 + t^3.847 + t^3.907 + t^3.967 + t^4.186 + t^4.246 + t^4.306 + t^4.525 + t^4.585 + t^4.645 + t^4.864 + t^4.924 + t^4.984 + 2*t^5.322 + t^5.382 + 2*t^5.601 + 3*t^5.661 - t^6. - t^4.415/y - t^4.415*y | detail | |
56984 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6892 | 0.8763 | 0.7865 | [M:[1.1741, 1.0648, 0.8259, 0.8191, 0.7099, 1.058, 0.7099], q:[0.4096, 0.4163], qb:[0.5256, 0.7645], phi:[0.471]] | 2*t^2.13 + t^2.457 + t^2.478 + t^2.826 + t^3.174 + t^3.194 + t^3.522 + t^3.891 + t^3.911 + t^4.219 + t^4.239 + 3*t^4.259 + t^4.567 + 2*t^4.587 + 2*t^4.607 + t^4.915 + t^4.935 + 3*t^4.956 + t^5.283 + 3*t^5.304 + 2*t^5.324 + t^5.632 + 4*t^5.652 - t^6. - t^4.413/y - t^4.413*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 |
---|---|---|---|---|---|---|---|---|---|
46799 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6851 | 0.8556 | 0.8007 | [M:[1.1631, 0.9791, 0.8369, 0.7612, 0.8037, 0.9034], q:[0.3806, 0.4563], qb:[0.6403, 0.7825], phi:[0.4351]] | t^2.284 + t^2.411 + t^2.511 + t^2.61 + t^2.71 + t^2.937 + t^3.489 + t^3.816 + t^4.043 + t^4.268 + t^4.368 + t^4.567 + t^4.595 + t^4.695 + t^4.794 + t^4.822 + t^4.894 + t^4.922 + t^4.994 + 2*t^5.021 + 2*t^5.121 + t^5.147 + 2*t^5.221 + t^5.321 + t^5.348 + t^5.42 + t^5.548 + t^5.647 + t^5.874 + t^5.9 - 2*t^6. - t^4.305/y - t^4.305*y | detail |