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 |
---|---|---|---|---|---|---|---|---|---|
46234 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6689 | 0.8351 | 0.801 | [M:[0.7072, 0.6951, 0.6911, 1.3008, 0.6951], q:[0.4736, 0.8192], qb:[0.8313, 0.4776], phi:[0.3496]] | [M:[[-4, -3, 1], [-3, -4, 1], [0, -1, -1], [2, 2, 0], [1, 1, -2]], q:[[3, 3, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[-1, -1, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$ | ${}$ | -3 | t^2.073 + 2*t^2.085 + t^2.122 + t^2.854 + 2*t^3.89 + 2*t^3.902 + t^4.147 + 2*t^4.159 + 3*t^4.171 + t^4.195 + 2*t^4.207 + t^4.243 + t^4.927 + 2*t^4.939 + t^4.951 + t^4.975 + t^5.707 + 2*t^5.964 + 5*t^5.976 + 2*t^5.988 - 3*t^6. + t^6.024 + t^6.22 + 2*t^6.232 + 3*t^6.244 + 4*t^6.256 + t^6.268 + 2*t^6.28 + 3*t^6.293 + t^6.317 + 2*t^6.329 + t^6.365 + 2*t^6.744 + 2*t^6.756 + t^7. + 2*t^7.012 + 3*t^7.025 - t^7.049 + t^7.097 + 3*t^7.781 + 4*t^7.793 + t^7.805 - 2*t^7.817 + 2*t^8.037 + 5*t^8.049 + 6*t^8.061 - t^8.073 - 6*t^8.085 + t^8.098 - 3*t^8.122 + t^8.146 + t^8.293 + 2*t^8.305 + 3*t^8.317 + 4*t^8.33 + 6*t^8.342 + 2*t^8.354 + 3*t^8.366 + 4*t^8.378 + t^8.39 + 2*t^8.402 + 3*t^8.414 + t^8.438 + 2*t^8.451 + t^8.487 + t^8.561 + 2*t^8.817 + 4*t^8.83 + 2*t^8.842 - 3*t^8.854 - 2*t^8.866 - t^4.049/y - t^6.122/y - (2*t^6.134)/y - t^6.17/y + (2*t^7.159)/y + t^7.171/y + t^7.195/y + (2*t^7.207)/y + (2*t^7.927)/y + (2*t^7.939)/y + (2*t^7.963)/y + (2*t^7.975)/y - t^8.195/y - (2*t^8.207)/y - (3*t^8.22)/y - t^8.244/y - (2*t^8.256)/y - t^8.292/y + (2*t^8.964)/y + (6*t^8.976)/y + (4*t^8.988)/y - t^4.049*y - t^6.122*y - 2*t^6.134*y - t^6.17*y + 2*t^7.159*y + t^7.171*y + t^7.195*y + 2*t^7.207*y + 2*t^7.927*y + 2*t^7.939*y + 2*t^7.963*y + 2*t^7.975*y - t^8.195*y - 2*t^8.207*y - 3*t^8.22*y - t^8.244*y - 2*t^8.256*y - t^8.292*y + 2*t^8.964*y + 6*t^8.976*y + 4*t^8.988*y | t^2.073/(g2*g3) + (g1*g2*t^2.085)/g3^2 + (g3*t^2.085)/(g1^3*g2^4) + (g3*t^2.122)/(g1^4*g2^3) + g1^3*g2^3*t^2.854 + (g1^5*g2^5*t^3.89)/g3^2 + g1*g3*t^3.89 + 2*g1^2*g2^2*t^3.902 + t^4.147/(g2^2*g3^2) + t^4.159/(g1^3*g2^5) + (g1*t^4.159)/g3^3 + (g1^2*g2^2*t^4.171)/g3^4 + t^4.171/(g1^2*g2^3*g3) + (g3^2*t^4.171)/(g1^6*g2^8) + t^4.195/(g1^4*g2^4) + t^4.207/(g1^3*g2^2*g3) + (g3^2*t^4.207)/(g1^7*g2^7) + (g3^2*t^4.243)/(g1^8*g2^6) + (g1^3*g2^2*t^4.927)/g3 + (g1^4*g2^4*t^4.939)/g3^2 + (g3*t^4.939)/g2 + g1*g2*t^4.951 + (g3*t^4.975)/g1 + g1^6*g2^6*t^5.707 + (g1*t^5.964)/g2 + (g1^5*g2^4*t^5.964)/g3^3 + (g1^6*g2^6*t^5.976)/g3^4 + (3*g1^2*g2*t^5.976)/g3 + (g3^2*t^5.976)/(g1^2*g2^4) + (g1^3*g2^3*t^5.988)/g3^2 + (g3*t^5.988)/(g1*g2^2) - 3*t^6. + (g3*t^6.024)/(g1^2*g2) + t^6.22/(g2^3*g3^3) + (g1*t^6.232)/(g2*g3^4) + t^6.232/(g1^3*g2^6*g3) + (g1^2*g2*t^6.244)/g3^5 + t^6.244/(g1^2*g2^4*g3^2) + (g3*t^6.244)/(g1^6*g2^9) + t^6.256/(g1^5*g2^7) + (g1^3*g2^3*t^6.256)/g3^6 + t^6.256/(g1*g2^2*g3^3) + (g3^3*t^6.256)/(g1^9*g2^12) + t^6.268/(g1^4*g2^5*g3) + t^6.28/(g1^3*g2^3*g3^2) + (g3*t^6.28)/(g1^7*g2^8) + t^6.293/(g1^6*g2^6) + t^6.293/(g1^2*g2*g3^3) + (g3^3*t^6.293)/(g1^10*g2^11) + (g3*t^6.317)/(g1^8*g2^7) + t^6.329/(g1^7*g2^5) + (g3^3*t^6.329)/(g1^11*g2^10) + (g3^3*t^6.365)/(g1^12*g2^9) + (g1^8*g2^8*t^6.744)/g3^2 + g1^4*g2^3*g3*t^6.744 + 2*g1^5*g2^5*t^6.756 + (g1^3*g2*t^7.)/g3^2 + t^7.012/g2^2 + (g1^4*g2^3*t^7.012)/g3^3 + (g1^5*g2^5*t^7.025)/g3^4 + (g1*t^7.025)/g3 + (g3^2*t^7.025)/(g1^3*g2^5) - t^7.049/(g1*g2) + (g3^2*t^7.097)/(g1^5*g2^3) + (g1^10*g2^10*t^7.781)/g3^4 + (g1^6*g2^5*t^7.781)/g3 + g1^2*g3^2*t^7.781 + (2*g1^7*g2^7*t^7.793)/g3^2 + 2*g1^3*g2^2*g3*t^7.793 + g1^4*g2^4*t^7.805 - (g1^5*g2^6*t^7.817)/g3 - g1*g2*g3^2*t^7.817 + (g1^5*g2^3*t^8.037)/g3^4 + (g1*t^8.037)/(g2^2*g3) + (g1^6*g2^5*t^8.049)/g3^5 + (3*g1^2*t^8.049)/g3^2 + (g3*t^8.049)/(g1^2*g2^5) + (2*t^8.061)/(g1*g2^3) + (g1^7*g2^7*t^8.061)/g3^6 + (2*g1^3*g2^2*t^8.061)/g3^3 + (g3^3*t^8.061)/(g1^5*g2^8) + (g1^4*g2^4*t^8.073)/g3^4 - (3*t^8.073)/(g2*g3) + (g3^2*t^8.073)/(g1^4*g2^6) - (3*g1*g2*t^8.085)/g3^2 - (3*g3*t^8.085)/(g1^3*g2^4) + t^8.098/(g1^2*g2^2) - (3*g3*t^8.122)/(g1^4*g2^3) + (g3^2*t^8.146)/(g1^6*g2^4) + t^8.293/(g2^4*g3^4) + (g1*t^8.305)/(g2^2*g3^5) + t^8.305/(g1^3*g2^7*g3^2) + t^8.317/(g1^6*g2^10) + (g1^2*t^8.317)/g3^6 + t^8.317/(g1^2*g2^5*g3^3) + (g1^3*g2^2*t^8.33)/g3^7 + t^8.33/(g1*g2^3*g3^4) + t^8.33/(g1^5*g2^8*g3) + (g3^2*t^8.33)/(g1^9*g2^13) + (g1^4*g2^4*t^8.342)/g3^8 + t^8.342/(g2*g3^5) + (2*t^8.342)/(g1^4*g2^6*g3^2) + (g3*t^8.342)/(g1^8*g2^11) + (g3^4*t^8.342)/(g1^12*g2^16) + t^8.354/(g1^7*g2^9) + t^8.354/(g1^3*g2^4*g3^3) + t^8.366/(g1^2*g2^2*g3^4) + t^8.366/(g1^6*g2^7*g3) + (g3^2*t^8.366)/(g1^10*g2^12) + t^8.378/(g1*g3^5) + t^8.378/(g1^5*g2^5*g3^2) + (g3*t^8.378)/(g1^9*g2^10) + (g3^4*t^8.378)/(g1^13*g2^15) + t^8.39/(g1^8*g2^8) + t^8.402/(g1^7*g2^6*g3) + (g3^2*t^8.402)/(g1^11*g2^11) + t^8.414/(g1^6*g2^4*g3^2) + (g3*t^8.414)/(g1^10*g2^9) + (g3^4*t^8.414)/(g1^14*g2^14) + (g3^2*t^8.438)/(g1^12*g2^10) + (g3*t^8.451)/(g1^11*g2^8) + (g3^4*t^8.451)/(g1^15*g2^13) + (g3^4*t^8.487)/(g1^16*g2^12) + g1^9*g2^9*t^8.561 + g1^4*g2^2*t^8.817 + (g1^8*g2^7*t^8.817)/g3^3 + (g1^9*g2^9*t^8.83)/g3^4 + (2*g1^5*g2^4*t^8.83)/g3 + (g1*g3^2*t^8.83)/g2 + (g1^6*g2^6*t^8.842)/g3^2 + g1^2*g2*g3*t^8.842 - 3*g1^3*g2^3*t^8.854 - (g1^4*g2^5*t^8.866)/g3 - g3^2*t^8.866 - t^4.049/(g1*g2*y) - t^6.122/(g1*g2^2*g3*y) - t^6.134/(g3^2*y) - (g3*t^6.134)/(g1^4*g2^5*y) - (g3*t^6.17)/(g1^5*g2^4*y) + t^7.159/(g1^3*g2^5*y) + (g1*t^7.159)/(g3^3*y) + t^7.171/(g1^2*g2^3*g3*y) + t^7.195/(g1^4*g2^4*y) + t^7.207/(g1^3*g2^2*g3*y) + (g3^2*t^7.207)/(g1^7*g2^7*y) + (2*g1^3*g2^2*t^7.927)/(g3*y) + (g1^4*g2^4*t^7.939)/(g3^2*y) + (g3*t^7.939)/(g2*y) + (g1^2*g2^3*t^7.963)/(g3*y) + (g3^2*t^7.963)/(g1^2*g2^2*y) + (2*g3*t^7.975)/(g1*y) - t^8.195/(g1*g2^3*g3^2*y) - t^8.207/(g1^4*g2^6*y) - t^8.207/(g2*g3^3*y) - (g1*g2*t^8.22)/(g3^4*y) - t^8.22/(g1^3*g2^4*g3*y) - (g3^2*t^8.22)/(g1^7*g2^9*y) - t^8.244/(g1^5*g2^5*y) - t^8.256/(g1^4*g2^3*g3*y) - (g3^2*t^8.256)/(g1^8*g2^8*y) - (g3^2*t^8.292)/(g1^9*g2^7*y) + (g1*t^8.964)/(g2*y) + (g1^5*g2^4*t^8.964)/(g3^3*y) + (g1^6*g2^6*t^8.976)/(g3^4*y) + (4*g1^2*g2*t^8.976)/(g3*y) + (g3^2*t^8.976)/(g1^2*g2^4*y) + (2*g1^3*g2^3*t^8.988)/(g3^2*y) + (2*g3*t^8.988)/(g1*g2^2*y) - (t^4.049*y)/(g1*g2) - (t^6.122*y)/(g1*g2^2*g3) - (t^6.134*y)/g3^2 - (g3*t^6.134*y)/(g1^4*g2^5) - (g3*t^6.17*y)/(g1^5*g2^4) + (t^7.159*y)/(g1^3*g2^5) + (g1*t^7.159*y)/g3^3 + (t^7.171*y)/(g1^2*g2^3*g3) + (t^7.195*y)/(g1^4*g2^4) + (t^7.207*y)/(g1^3*g2^2*g3) + (g3^2*t^7.207*y)/(g1^7*g2^7) + (2*g1^3*g2^2*t^7.927*y)/g3 + (g1^4*g2^4*t^7.939*y)/g3^2 + (g3*t^7.939*y)/g2 + (g1^2*g2^3*t^7.963*y)/g3 + (g3^2*t^7.963*y)/(g1^2*g2^2) + (2*g3*t^7.975*y)/g1 - (t^8.195*y)/(g1*g2^3*g3^2) - (t^8.207*y)/(g1^4*g2^6) - (t^8.207*y)/(g2*g3^3) - (g1*g2*t^8.22*y)/g3^4 - (t^8.22*y)/(g1^3*g2^4*g3) - (g3^2*t^8.22*y)/(g1^7*g2^9) - (t^8.244*y)/(g1^5*g2^5) - (t^8.256*y)/(g1^4*g2^3*g3) - (g3^2*t^8.256*y)/(g1^8*g2^8) - (g3^2*t^8.292*y)/(g1^9*g2^7) + (g1*t^8.964*y)/g2 + (g1^5*g2^4*t^8.964*y)/g3^3 + (g1^6*g2^6*t^8.976*y)/g3^4 + (4*g1^2*g2*t^8.976*y)/g3 + (g3^2*t^8.976*y)/(g1^2*g2^4) + (2*g1^3*g2^3*t^8.988*y)/g3^2 + (2*g3*t^8.988*y)/(g1*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|
46723 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}X_{1}$ | 0.6018 | 0.7514 | 0.8009 | [X:[1.4255], M:[1.0, 0.6809, 0.5745, 1.2127, 0.6809], q:[0.3564, 0.6436], qb:[0.9627, 0.4627], phi:[0.3936]] | 2*t^2.043 + t^2.457 + t^3. + 2*t^3.319 + 2*t^3.638 + 3*t^4.085 + t^4.276 + 2*t^4.5 + t^4.819 + t^4.915 + 2*t^5.043 + 3*t^5.362 + t^5.457 + 2*t^5.681 + 2*t^5.776 - 2*t^6. - t^4.181/y - t^4.181*y | detail | |
46480 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6689 | 0.8347 | 0.8013 | [M:[0.7009, 0.7009, 0.6961, 1.3015, 0.6937], q:[0.4737, 0.8254], qb:[0.8254, 0.4785], phi:[0.3493]] | t^2.081 + t^2.088 + 2*t^2.103 + t^2.857 + t^3.89 + 2*t^3.904 + t^3.912 + t^4.162 + t^4.169 + t^4.177 + 2*t^4.184 + 2*t^4.191 + 3*t^4.205 + t^4.938 + t^4.945 + t^4.952 + 2*t^4.959 + t^5.713 + t^5.971 + t^5.978 + t^5.986 + 3*t^5.993 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
45939 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.6485 | 0.7963 | 0.8144 | [M:[0.7078, 0.6913, 0.7007, 1.2958], q:[0.4766, 0.8157], qb:[0.8322, 0.4671], phi:[0.3521]] | t^2.074 + t^2.102 + t^2.123 + t^2.831 + t^3.848 + t^3.859 + 2*t^3.887 + t^3.916 + t^4.148 + t^4.176 + t^4.197 + t^4.204 + t^4.225 + t^4.247 + t^4.905 + t^4.933 + t^4.944 + t^4.954 + t^5.662 + t^5.922 + t^5.933 + t^5.951 + 2*t^5.961 + t^5.982 + 2*t^5.989 - 3*t^6. - t^4.056/y - t^4.056*y | detail |