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 |
---|---|---|---|---|---|---|---|---|---|
2541 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6922 | 0.8481 | 0.8162 | [M:[0.9724, 1.0197, 0.9803, 1.0118, 0.9882, 1.0039, 1.0197], q:[0.5178, 0.5099], qb:[0.502, 0.4783], phi:[0.498]] | [M:[[14], [-10], [10], [-6], [6], [-2], [-10]], q:[[-9], [-5]], qb:[[-1], [11]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$ | ${}$ | -2 | t^2.917 + t^2.964 + t^2.988 + t^3.012 + t^3.036 + 2*t^3.059 + t^4.364 + t^4.435 + t^4.459 + t^4.482 + t^4.506 + t^4.53 + 2*t^4.553 + t^4.577 + t^4.601 + t^5.834 + t^5.929 + t^5.953 + 2*t^5.976 - 2*t^6. + t^6.024 + 2*t^6.047 + 2*t^6.071 + t^6.095 + 2*t^6.118 + t^7.281 + t^7.328 + 2*t^7.352 + t^7.399 + 3*t^7.423 + t^7.447 + 2*t^7.47 + t^7.494 + 2*t^7.518 + 3*t^7.541 + 3*t^7.565 + 3*t^7.589 + 3*t^7.613 + 2*t^7.636 + 2*t^7.66 + t^8.728 + t^8.751 + t^8.799 + t^8.822 + t^8.846 + 2*t^8.893 - t^8.917 + t^8.941 - t^8.988 - t^4.494/y - t^7.411/y + t^7.435/y - t^7.553/y + t^7.577/y + t^8.882/y + t^8.905/y + t^8.929/y + (2*t^8.953)/y + (3*t^8.976)/y - t^4.494*y - t^7.411*y + t^7.435*y - t^7.553*y + t^7.577*y + t^8.882*y + t^8.905*y + t^8.929*y + 2*t^8.953*y + 3*t^8.976*y | g1^14*t^2.917 + g1^6*t^2.964 + g1^2*t^2.988 + t^3.012/g1^2 + t^3.036/g1^6 + (2*t^3.059)/g1^10 + g1^23*t^4.364 + g1^11*t^4.435 + g1^7*t^4.459 + g1^3*t^4.482 + t^4.506/g1 + t^4.53/g1^5 + (2*t^4.553)/g1^9 + t^4.577/g1^13 + t^4.601/g1^17 + g1^28*t^5.834 + g1^12*t^5.929 + g1^8*t^5.953 + 2*g1^4*t^5.976 - 2*t^6. + t^6.024/g1^4 + (2*t^6.047)/g1^8 + (2*t^6.071)/g1^12 + t^6.095/g1^16 + (2*t^6.118)/g1^20 + g1^37*t^7.281 + g1^29*t^7.328 + 2*g1^25*t^7.352 + g1^17*t^7.399 + 3*g1^13*t^7.423 + g1^9*t^7.447 + 2*g1^5*t^7.47 + g1*t^7.494 + (2*t^7.518)/g1^3 + (3*t^7.541)/g1^7 + (3*t^7.565)/g1^11 + (3*t^7.589)/g1^15 + (3*t^7.613)/g1^19 + (2*t^7.636)/g1^23 + (2*t^7.66)/g1^27 + g1^46*t^8.728 + g1^42*t^8.751 + g1^34*t^8.799 + g1^30*t^8.822 + g1^26*t^8.846 + 2*g1^18*t^8.893 - g1^14*t^8.917 + g1^10*t^8.941 - g1^2*t^8.988 - (g1*t^4.494)/y - (g1^15*t^7.411)/y + (g1^11*t^7.435)/y - t^7.553/(g1^9*y) + t^7.577/(g1^13*y) + (g1^20*t^8.882)/y + (g1^16*t^8.905)/y + (g1^12*t^8.929)/y + (2*g1^8*t^8.953)/y + (3*g1^4*t^8.976)/y - g1*t^4.494*y - g1^15*t^7.411*y + g1^11*t^7.435*y - (t^7.553*y)/g1^9 + (t^7.577*y)/g1^13 + g1^20*t^8.882*y + g1^16*t^8.905*y + g1^12*t^8.929*y + 2*g1^8*t^8.953*y + 3*g1^4*t^8.976*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 |
---|---|---|---|---|---|---|---|---|
4594 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}M_{8}$ | 0.6937 | 0.8506 | 0.8156 | [M:[0.9527, 1.0338, 0.9662, 1.0203, 0.9797, 1.0068, 1.0338, 0.9797], q:[0.5304, 0.5169], qb:[0.5034, 0.4628], phi:[0.4966]] | t^2.858 + 2*t^2.939 + t^2.98 + t^3.02 + 2*t^3.101 + t^4.267 + t^4.389 + t^4.429 + t^4.47 + t^4.51 + t^4.551 + 2*t^4.591 + t^4.632 + t^4.672 + t^5.716 + t^5.797 + 3*t^5.878 + t^5.919 + 3*t^5.959 - 3*t^6. - t^4.49/y - t^4.49*y | detail | |
4593 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}M_{8}$ | 0.6926 | 0.8487 | 0.8161 | [M:[0.9658, 1.0245, 0.9755, 1.0147, 0.9853, 1.0049, 1.0245, 0.9951], q:[0.522, 0.5122], qb:[0.5024, 0.4731], phi:[0.4976]] | t^2.897 + t^2.956 + 2*t^2.985 + t^3.044 + 2*t^3.073 + t^4.331 + t^4.419 + t^4.449 + t^4.478 + t^4.507 + t^4.537 + 2*t^4.566 + t^4.595 + t^4.625 + t^5.795 + t^5.883 + 2*t^5.941 + 3*t^5.971 - 3*t^6. - t^4.493/y - t^4.493*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 |
---|---|---|---|---|---|---|---|---|---|
1454 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6951 | 0.8532 | 0.8147 | [M:[0.9402, 1.0427, 0.9573, 1.0256, 0.9744, 1.0085], q:[0.5384, 0.5214], qb:[0.5043, 0.453], phi:[0.4957]] | t^2.821 + t^2.872 + t^2.923 + t^2.974 + t^3.026 + t^3.077 + t^3.128 + t^4.205 + t^4.359 + t^4.41 + t^4.462 + t^4.513 + t^4.564 + 2*t^4.615 + t^4.667 + t^4.718 + t^5.641 + t^5.692 + t^5.744 + t^5.795 + 2*t^5.846 + 2*t^5.897 + 2*t^5.949 - t^6. - t^4.487/y - t^4.487*y | detail |