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 |
---|---|---|---|---|---|---|---|---|---|
4594 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}M_{8}$ | 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]] | [M:[[14], [-10], [10], [-6], [6], [-2], [-10], [6]], q:[[-9], [-5]], qb:[[-1], [11]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}^{4}$ | ${}$ | -3 | 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. + 2*t^6.041 + t^6.081 + t^6.122 - t^6.162 + 2*t^6.203 + t^7.125 + 2*t^7.206 + 2*t^7.247 + t^7.328 + 4*t^7.368 + 2*t^7.409 + 2*t^7.449 + t^7.49 + 3*t^7.53 + 3*t^7.571 + 3*t^7.611 + t^7.652 + 2*t^7.693 + t^7.733 + 2*t^7.774 + t^8.534 + t^8.574 + 2*t^8.656 + t^8.696 + 2*t^8.737 - t^8.777 + 5*t^8.818 + 4*t^8.899 - 4*t^8.939 - t^4.49/y - t^7.348/y + t^7.389/y - t^7.429/y + t^7.551/y - t^7.591/y + t^7.632/y + (2*t^8.797)/y + t^8.838/y + (2*t^8.878)/y + (2*t^8.919)/y + (4*t^8.959)/y - t^4.49*y - t^7.348*y + t^7.389*y - t^7.429*y + t^7.551*y - t^7.591*y + t^7.632*y + 2*t^8.797*y + t^8.838*y + 2*t^8.878*y + 2*t^8.919*y + 4*t^8.959*y | g1^14*t^2.858 + 2*g1^6*t^2.939 + g1^2*t^2.98 + t^3.02/g1^2 + (2*t^3.101)/g1^10 + g1^23*t^4.267 + g1^11*t^4.389 + g1^7*t^4.429 + g1^3*t^4.47 + t^4.51/g1 + t^4.551/g1^5 + (2*t^4.591)/g1^9 + t^4.632/g1^13 + t^4.672/g1^17 + g1^28*t^5.716 + g1^20*t^5.797 + 3*g1^12*t^5.878 + g1^8*t^5.919 + 3*g1^4*t^5.959 - 3*t^6. + (2*t^6.041)/g1^4 + t^6.081/g1^8 + t^6.122/g1^12 - t^6.162/g1^16 + (2*t^6.203)/g1^20 + g1^37*t^7.125 + 2*g1^29*t^7.206 + 2*g1^25*t^7.247 + g1^17*t^7.328 + 4*g1^13*t^7.368 + 2*g1^9*t^7.409 + 2*g1^5*t^7.449 + g1*t^7.49 + (3*t^7.53)/g1^3 + (3*t^7.571)/g1^7 + (3*t^7.611)/g1^11 + t^7.652/g1^15 + (2*t^7.693)/g1^19 + t^7.733/g1^23 + (2*t^7.774)/g1^27 + g1^46*t^8.534 + g1^42*t^8.574 + 2*g1^34*t^8.656 + g1^30*t^8.696 + 2*g1^26*t^8.737 - g1^22*t^8.777 + 5*g1^18*t^8.818 + 4*g1^10*t^8.899 - 4*g1^6*t^8.939 - (g1*t^4.49)/y - (g1^15*t^7.348)/y + (g1^11*t^7.389)/y - (g1^7*t^7.429)/y + t^7.551/(g1^5*y) - t^7.591/(g1^9*y) + t^7.632/(g1^13*y) + (2*g1^20*t^8.797)/y + (g1^16*t^8.838)/y + (2*g1^12*t^8.878)/y + (2*g1^8*t^8.919)/y + (4*g1^4*t^8.959)/y - g1*t^4.49*y - g1^15*t^7.348*y + g1^11*t^7.389*y - g1^7*t^7.429*y + (t^7.551*y)/g1^5 - (t^7.591*y)/g1^9 + (t^7.632*y)/g1^13 + 2*g1^20*t^8.797*y + g1^16*t^8.838*y + 2*g1^12*t^8.878*y + 2*g1^8*t^8.919*y + 4*g1^4*t^8.959*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 |
---|---|---|---|---|---|---|---|---|
6113 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}M_{8}$ + ${ }M_{6}M_{9}$ | 0.6944 | 0.8518 | 0.8152 | [M:[0.9462, 1.0384, 0.9616, 1.023, 0.977, 1.0077, 1.0384, 0.977, 0.9923], q:[0.5346, 0.5192], qb:[0.5038, 0.4578], phi:[0.4962]] | t^2.839 + 2*t^2.931 + 2*t^2.977 + 2*t^3.115 + t^4.235 + t^4.373 + t^4.419 + t^4.465 + t^4.512 + t^4.558 + 2*t^4.604 + t^4.65 + t^4.696 + t^5.677 + t^5.77 + t^5.816 + 2*t^5.862 + 3*t^5.908 + 3*t^5.954 - 4*t^6. - t^4.488/y - t^4.488*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.494/y - t^4.494*y | detail |