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 |
---|---|---|---|---|---|---|---|---|---|
46761 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ | 0.6976 | 0.853 | 0.8178 | [M:[1.0518, 0.9761, 0.9482, 0.9721, 1.0], q:[0.4861, 0.4621], qb:[0.5379, 0.5657], phi:[0.487]] | [M:[[4, 4], [-12, 4], [-4, -4], [8, -8], [0, 0]], q:[[4, -4], [-8, 0]], qb:[[8, 0], [0, 8]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.845 + t^2.916 + t^2.922 + t^2.928 + t^3. + t^3.155 + t^3.311 + t^4.234 + t^4.306 + t^4.378 + t^4.461 + t^4.533 + t^4.545 + t^4.617 + t^4.688 + t^4.772 + t^4.856 + t^5.767 + t^5.833 + t^5.839 + 2*t^5.845 + t^5.85 + t^5.856 + t^5.922 - 2*t^6. + t^6.078 + t^6.233 + t^6.311 + t^6.466 + t^6.622 + t^7.079 + t^7.15 + t^7.156 + t^7.162 + t^7.222 + t^7.228 + t^7.234 + t^7.294 + t^7.3 + t^7.306 - t^7.312 + t^7.378 + t^7.389 + t^7.449 + t^7.461 + t^7.467 + t^7.473 + 2*t^7.533 + t^7.545 + t^7.605 + t^7.617 - t^7.622 + 2*t^7.688 + t^7.7 - t^7.766 + 2*t^7.772 + t^7.778 + t^7.784 + t^7.844 - t^7.85 + t^7.856 + t^7.927 - t^7.933 + t^7.999 + t^8.011 + t^8.083 + t^8.166 + t^8.468 + t^8.54 + t^8.611 - t^8.617 + t^8.683 + t^8.695 + t^8.749 + 2*t^8.755 + t^8.761 + 3*t^8.767 + t^8.773 + 2*t^8.779 + t^8.785 + t^8.839 - 2*t^8.845 + t^8.85 + t^8.911 - 4*t^8.916 - 3*t^8.928 + 2*t^8.994 - t^4.461/y - t^7.378/y - t^7.383/y - t^7.389/y + t^7.533/y + t^7.539/y + t^7.545/y + t^8.761/y + t^8.767/y + t^8.773/y + t^8.839/y + (2*t^8.845)/y + t^8.85/y + t^8.916/y + t^8.922/y + t^8.928/y - t^4.461*y - t^7.378*y - t^7.383*y - t^7.389*y + t^7.533*y + t^7.539*y + t^7.545*y + t^8.761*y + t^8.767*y + t^8.773*y + t^8.839*y + 2*t^8.845*y + t^8.85*y + t^8.916*y + t^8.922*y + t^8.928*y | t^2.845/(g1^4*g2^4) + (g1^8*t^2.916)/g2^8 + t^2.922/(g1^2*g2^2) + (g2^4*t^2.928)/g1^12 + t^3. + g1^4*g2^4*t^3.155 + g1^8*g2^8*t^3.311 + t^4.234/(g1^17*g2) + t^4.306/(g1^5*g2^5) + (g1^7*t^4.378)/g2^9 + t^4.461/(g1*g2) + (g1^11*t^4.533)/g2^5 + (g2^7*t^4.545)/g1^9 + g1^3*g2^3*t^4.617 + (g1^15*t^4.688)/g2 + g1^7*g2^7*t^4.772 + (g2^15*t^4.856)/g1 + t^5.767/(g1^6*g2^6) + (g1^16*t^5.833)/g2^16 + (g1^6*t^5.839)/g2^10 + (2*t^5.845)/(g1^4*g2^4) + (g2^2*t^5.85)/g1^14 + (g2^8*t^5.856)/g1^24 + t^5.922/(g1^2*g2^2) - 2*t^6. + g1^2*g2^2*t^6.078 + g1^6*g2^6*t^6.233 + g1^8*g2^8*t^6.311 + g1^12*g2^12*t^6.466 + g1^16*g2^16*t^6.622 + t^7.079/(g1^21*g2^5) + t^7.15/(g1^9*g2^9) + t^7.156/(g1^19*g2^3) + (g2^3*t^7.162)/g1^29 + (g1^3*t^7.222)/g2^13 + t^7.228/(g1^7*g2^7) + t^7.234/(g1^17*g2) + (g1^15*t^7.294)/g2^17 + (g1^5*t^7.3)/g2^11 + t^7.306/(g1^5*g2^5) - (g2*t^7.312)/g1^15 + (g1^7*t^7.378)/g2^9 + (g2^3*t^7.389)/g1^13 + (g1^19*t^7.449)/g2^13 + t^7.461/(g1*g2) + (g2^5*t^7.467)/g1^11 + (g2^11*t^7.473)/g1^21 + (2*g1^11*t^7.533)/g2^5 + (g2^7*t^7.545)/g1^9 + (g1^23*t^7.605)/g2^9 + g1^3*g2^3*t^7.617 - (g2^9*t^7.622)/g1^7 + (2*g1^15*t^7.688)/g2 + (g2^11*t^7.7)/g1^5 - g1^17*g2*t^7.766 + 2*g1^7*g2^7*t^7.772 + (g2^13*t^7.778)/g1^3 + (g2^19*t^7.784)/g1^13 + g1^19*g2^3*t^7.844 - g1^9*g2^9*t^7.85 + (g2^15*t^7.856)/g1 + g1^11*g2^11*t^7.927 - g1*g2^17*t^7.933 + g1^23*g2^7*t^7.999 + g1^3*g2^19*t^8.011 + g1^15*g2^15*t^8.083 + g1^7*g2^23*t^8.166 + t^8.468/(g1^34*g2^2) + t^8.54/(g1^22*g2^6) + t^8.611/(g1^10*g2^10) - t^8.617/(g1^20*g2^4) + (g1^2*t^8.683)/g2^14 + t^8.695/(g1^18*g2^2) + (g1^24*t^8.749)/g2^24 + (2*g1^14*t^8.755)/g2^18 + (g1^4*t^8.761)/g2^12 + (3*t^8.767)/(g1^6*g2^6) + t^8.773/g1^16 + (2*g2^6*t^8.779)/g1^26 + (g2^12*t^8.785)/g1^36 + (g1^6*t^8.839)/g2^10 - (2*t^8.845)/(g1^4*g2^4) + (g2^2*t^8.85)/g1^14 + (g1^18*t^8.911)/g2^14 - (4*g1^8*t^8.916)/g2^8 - (3*g2^4*t^8.928)/g1^12 + (2*g1^10*t^8.994)/g2^6 - t^4.461/(g1*g2*y) - (g1^7*t^7.378)/(g2^9*y) - t^7.383/(g1^3*g2^3*y) - (g2^3*t^7.389)/(g1^13*y) + (g1^11*t^7.533)/(g2^5*y) + (g1*g2*t^7.539)/y + (g2^7*t^7.545)/(g1^9*y) + (g1^4*t^8.761)/(g2^12*y) + t^8.767/(g1^6*g2^6*y) + t^8.773/(g1^16*y) + (g1^6*t^8.839)/(g2^10*y) + (2*t^8.845)/(g1^4*g2^4*y) + (g2^2*t^8.85)/(g1^14*y) + (g1^8*t^8.916)/(g2^8*y) + t^8.922/(g1^2*g2^2*y) + (g2^4*t^8.928)/(g1^12*y) - (t^4.461*y)/(g1*g2) - (g1^7*t^7.378*y)/g2^9 - (t^7.383*y)/(g1^3*g2^3) - (g2^3*t^7.389*y)/g1^13 + (g1^11*t^7.533*y)/g2^5 + g1*g2*t^7.539*y + (g2^7*t^7.545*y)/g1^9 + (g1^4*t^8.761*y)/g2^12 + (t^8.767*y)/(g1^6*g2^6) + (t^8.773*y)/g1^16 + (g1^6*t^8.839*y)/g2^10 + (2*t^8.845*y)/(g1^4*g2^4) + (g2^2*t^8.85*y)/g1^14 + (g1^8*t^8.916*y)/g2^8 + (t^8.922*y)/(g1^2*g2^2) + (g2^4*t^8.928*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
48232 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{6}$ | 0.7033 | 0.8629 | 0.815 | [M:[1.0721, 0.9677, 0.9279, 0.9602, 1.0, 0.9279], q:[0.4801, 0.4478], qb:[0.5522, 0.592], phi:[0.482]] | 2*t^2.784 + t^2.881 + t^2.892 + t^2.903 + t^3. + t^3.433 + t^4.133 + t^4.23 + t^4.326 + t^4.446 + t^4.543 + t^4.565 + t^4.662 + t^4.759 + t^4.878 + t^4.998 + 2*t^5.567 + t^5.664 + 2*t^5.676 + t^5.687 + t^5.761 + t^5.772 + 3*t^5.784 + t^5.795 + t^5.806 + t^5.892 - 3*t^6. - t^4.446/y - t^4.446*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 |
---|---|---|---|---|---|---|---|---|---|
46128 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7297 | 0.8972 | 0.8133 | [M:[0.9845, 0.8794, 1.0155, 0.9008, 0.7647], q:[0.4504, 0.5651], qb:[0.6702, 0.5341], phi:[0.445]] | t^2.294 + t^2.638 + t^2.67 + t^2.702 + t^2.954 + t^3.046 + t^3.613 + t^4.037 + t^4.289 + t^4.382 + t^4.54 + t^4.588 + t^4.633 + t^4.697 + t^4.726 + t^4.932 + t^4.948 + t^4.964 + t^4.996 + t^5.041 + t^5.248 + t^5.277 + t^5.309 + 2*t^5.341 + t^5.356 + t^5.373 + t^5.405 + t^5.624 + t^5.717 + t^5.907 - 3*t^6. - t^4.335/y - t^4.335*y | detail |