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 |
---|---|---|---|---|---|---|---|---|---|
55185 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{7}$ | 0.7086 | 0.877 | 0.808 | [M:[0.9634, 0.8512, 0.9771, 1.0893, 0.9107, 1.0298, 0.9107], q:[0.6076, 0.4291], qb:[0.5412, 0.4817], phi:[0.4851]] | [M:[[0, 8], [-10, 10], [-4, -4], [6, -6], [-6, 6], [2, -2], [-6, 6]], q:[[6, -10], [-6, 2]], qb:[[4, 0], [0, 4]], phi:[[-1, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{6}$ | ${}$ | -3 | t^2.554 + 2*t^2.732 + t^2.89 + t^2.911 + t^2.931 + t^3.089 + t^4.03 + t^4.188 + t^4.345 + t^4.366 + t^4.524 + t^4.565 + t^4.703 + t^4.723 + t^4.902 + t^5.101 + t^5.107 + 2*t^5.286 + t^5.444 + 3*t^5.464 + t^5.485 + t^5.622 + 3*t^5.643 + t^5.664 + t^5.78 + 3*t^5.821 + t^5.863 + t^5.979 - 3*t^6. + t^6.021 - t^6.158 - t^6.179 - t^6.199 - t^6.336 - t^6.378 - t^6.536 + t^6.583 + t^6.741 + 2*t^6.762 + t^6.899 + 3*t^6.92 + t^6.94 + t^6.961 + 3*t^7.078 + 2*t^7.098 + t^7.119 + t^7.236 + 3*t^7.256 + 2*t^7.277 + t^7.297 + t^7.414 + 2*t^7.435 + t^7.455 + t^7.497 + t^7.593 + t^7.613 + t^7.655 + t^7.661 - t^7.792 + t^7.833 + 2*t^7.84 - t^7.97 + t^7.998 + 3*t^8.018 + t^8.032 + t^8.039 + t^8.059 - t^8.169 + t^8.176 + 5*t^8.197 + 2*t^8.217 + t^8.334 + t^8.355 + 6*t^8.375 + t^8.396 + t^8.416 + t^8.512 + 2*t^8.533 + t^8.554 + 2*t^8.595 + t^8.67 + t^8.691 + t^8.712 - 5*t^8.732 + 2*t^8.753 + t^8.794 + 2*t^8.869 - 5*t^8.89 - 3*t^8.911 - 4*t^8.931 + t^8.952 - t^4.455/y - t^7.009/y - t^7.188/y - t^7.345/y - t^7.387/y + t^7.524/y + t^7.565/y + t^7.723/y + t^7.902/y + (2*t^8.286)/y + t^8.444/y + (2*t^8.464)/y + t^8.485/y + (2*t^8.622)/y + (3*t^8.643)/y + (2*t^8.664)/y + t^8.801/y + (3*t^8.821)/y + t^8.842/y + t^8.979/y - t^4.455*y - t^7.009*y - t^7.188*y - t^7.345*y - t^7.387*y + t^7.524*y + t^7.565*y + t^7.723*y + t^7.902*y + 2*t^8.286*y + t^8.444*y + 2*t^8.464*y + t^8.485*y + 2*t^8.622*y + 3*t^8.643*y + 2*t^8.664*y + t^8.801*y + 3*t^8.821*y + t^8.842*y + t^8.979*y | (g2^10*t^2.554)/g1^10 + (2*g2^6*t^2.732)/g1^6 + g2^8*t^2.89 + (g2^2*t^2.911)/g1^2 + t^2.931/(g1^4*g2^4) + (g1^2*t^3.089)/g2^2 + (g2^5*t^4.03)/g1^13 + (g2^7*t^4.188)/g1^7 + (g2^9*t^4.345)/g1 + (g2^3*t^4.366)/g1^3 + g1^3*g2^5*t^4.524 + t^4.565/(g1*g2^7) + g1^7*g2*t^4.703 + (g1^5*t^4.723)/g2^5 + (g1^9*t^4.902)/g2^9 + (g1^11*t^5.101)/g2^19 + (g2^20*t^5.107)/g1^20 + (2*g2^16*t^5.286)/g1^16 + (g2^18*t^5.444)/g1^10 + (3*g2^12*t^5.464)/g1^12 + (g2^6*t^5.485)/g1^14 + (g2^14*t^5.622)/g1^6 + (3*g2^8*t^5.643)/g1^8 + (g2^2*t^5.664)/g1^10 + g2^16*t^5.78 + (3*g2^4*t^5.821)/g1^4 + t^5.863/(g1^8*g2^8) + g1^2*g2^6*t^5.979 - 3*t^6. + t^6.021/(g1^2*g2^6) - g1^6*g2^2*t^6.158 - (g1^4*t^6.179)/g2^4 - (g1^2*t^6.199)/g2^10 - (g1^10*t^6.336)/g2^2 - (g1^6*t^6.378)/g2^14 - (g1^12*t^6.536)/g2^12 + (g2^15*t^6.583)/g1^23 + (g2^17*t^6.741)/g1^17 + (2*g2^11*t^6.762)/g1^19 + (g2^19*t^6.899)/g1^11 + (3*g2^13*t^6.92)/g1^13 + (g2^7*t^6.94)/g1^15 + (g2*t^6.961)/g1^17 + (3*g2^15*t^7.078)/g1^7 + (2*g2^9*t^7.098)/g1^9 + (g2^3*t^7.119)/g1^11 + (g2^17*t^7.236)/g1 + (3*g2^11*t^7.256)/g1^3 + (2*g2^5*t^7.277)/g1^5 + t^7.297/(g1^7*g2) + g1^3*g2^13*t^7.414 + 2*g1*g2^7*t^7.435 + (g2*t^7.455)/g1 + t^7.497/(g1^5*g2^11) + g1^7*g2^9*t^7.593 + g1^5*g2^3*t^7.613 + (g1*t^7.655)/g2^9 + (g2^30*t^7.661)/g1^30 - (g1^9*t^7.792)/g2 + (g1^5*t^7.833)/g2^13 + (2*g2^26*t^7.84)/g1^26 - (g1^13*t^7.97)/g2^5 + (g2^28*t^7.998)/g1^20 + (3*g2^22*t^8.018)/g1^22 + (g1^7*t^8.032)/g2^23 + (g2^16*t^8.039)/g1^24 + (g2^10*t^8.059)/g1^26 - (g1^15*t^8.169)/g2^15 + (g2^24*t^8.176)/g1^16 + (5*g2^18*t^8.197)/g1^18 + (2*g2^12*t^8.217)/g1^20 + (g2^26*t^8.334)/g1^10 + (g2^20*t^8.355)/g1^12 + (6*g2^14*t^8.375)/g1^14 + (g2^8*t^8.396)/g1^16 + (g2^2*t^8.416)/g1^18 + (g2^22*t^8.512)/g1^6 + (2*g2^16*t^8.533)/g1^8 + (g2^10*t^8.554)/g1^10 + (2*t^8.595)/(g1^14*g2^2) + g2^24*t^8.67 + (g2^18*t^8.691)/g1^2 + (g2^12*t^8.712)/g1^4 - (5*g2^6*t^8.732)/g1^6 + (2*t^8.753)/g1^8 + t^8.794/(g1^12*g2^12) + 2*g1^2*g2^14*t^8.869 - 5*g2^8*t^8.89 - (3*g2^2*t^8.911)/g1^2 - (4*t^8.931)/(g1^4*g2^4) + t^8.952/(g1^6*g2^10) - (g2*t^4.455)/(g1*y) - (g2^11*t^7.009)/(g1^11*y) - (g2^7*t^7.188)/(g1^7*y) - (g2^9*t^7.345)/(g1*y) - t^7.387/(g1^5*g2^3*y) + (g1^3*g2^5*t^7.524)/y + t^7.565/(g1*g2^7*y) + (g1^5*t^7.723)/(g2^5*y) + (g1^9*t^7.902)/(g2^9*y) + (2*g2^16*t^8.286)/(g1^16*y) + (g2^18*t^8.444)/(g1^10*y) + (2*g2^12*t^8.464)/(g1^12*y) + (g2^6*t^8.485)/(g1^14*y) + (2*g2^14*t^8.622)/(g1^6*y) + (3*g2^8*t^8.643)/(g1^8*y) + (2*g2^2*t^8.664)/(g1^10*y) + (g2^10*t^8.801)/(g1^2*y) + (3*g2^4*t^8.821)/(g1^4*y) + t^8.842/(g1^6*g2^2*y) + (g1^2*g2^6*t^8.979)/y - (g2*t^4.455*y)/g1 - (g2^11*t^7.009*y)/g1^11 - (g2^7*t^7.188*y)/g1^7 - (g2^9*t^7.345*y)/g1 - (t^7.387*y)/(g1^5*g2^3) + g1^3*g2^5*t^7.524*y + (t^7.565*y)/(g1*g2^7) + (g1^5*t^7.723*y)/g2^5 + (g1^9*t^7.902*y)/g2^9 + (2*g2^16*t^8.286*y)/g1^16 + (g2^18*t^8.444*y)/g1^10 + (2*g2^12*t^8.464*y)/g1^12 + (g2^6*t^8.485*y)/g1^14 + (2*g2^14*t^8.622*y)/g1^6 + (3*g2^8*t^8.643*y)/g1^8 + (2*g2^2*t^8.664*y)/g1^10 + (g2^10*t^8.801*y)/g1^2 + (3*g2^4*t^8.821*y)/g1^4 + (t^8.842*y)/(g1^6*g2^2) + g1^2*g2^6*t^8.979*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 |
---|---|---|---|---|---|---|---|---|
56855 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{7}$ + ${ }M_{3}M_{5}$ | 0.7017 | 0.8654 | 0.8109 | [M:[0.9087, 0.9087, 1.0548, 1.0548, 0.9452, 1.0183, 0.9452], q:[0.6004, 0.4909], qb:[0.4909, 0.4544], phi:[0.4909]] | 2*t^2.726 + 2*t^2.836 + t^2.945 + t^3.055 + t^3.164 + t^4.199 + 2*t^4.308 + 3*t^4.418 + t^4.637 + 2*t^4.746 + t^5.075 + 3*t^5.452 + 3*t^5.562 + 3*t^5.671 + 4*t^5.781 + 3*t^5.89 - 3*t^6. - t^4.473/y - t^4.473*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 |
---|---|---|---|---|---|---|---|---|---|
46847 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.7013 | 0.8626 | 0.813 | [M:[0.9729, 0.8851, 0.9811, 1.0689, 0.9311, 1.023], q:[0.5825, 0.4446], qb:[0.5324, 0.4864], phi:[0.4885]] | t^2.655 + t^2.793 + t^2.919 + t^2.931 + t^2.943 + t^3.069 + t^3.207 + t^4.133 + t^4.259 + t^4.384 + t^4.397 + t^4.522 + t^4.547 + t^4.66 + t^4.672 + t^4.81 + t^4.96 + t^5.311 + t^5.448 + t^5.574 + t^5.586 + t^5.599 + 2*t^5.724 + t^5.837 + 3*t^5.862 + t^5.887 + t^5.988 - 2*t^6. - t^4.466/y - t^4.466*y | detail |