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 |
---|---|---|---|---|---|---|---|---|---|
56013 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{7}$ | 0.6933 | 0.8493 | 0.8163 | [M:[0.9843, 1.0157, 1.0, 0.9685, 1.0315, 0.9528, 1.0315], q:[0.4764, 0.5393], qb:[0.5079, 0.4921], phi:[0.4961]] | [M:[[4], [-4], [0], [8], [-8], [12], [-8]], q:[[6], [-10]], qb:[[-2], [2]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -2 | t^2.858 + t^2.953 + t^2.976 + t^3. + t^3.047 + 2*t^3.094 + t^4.347 + t^4.394 + 2*t^4.441 + t^4.488 + 2*t^4.535 + t^4.583 + t^4.63 + t^4.724 + t^5.717 + t^5.835 + t^5.929 + 2*t^5.953 + t^5.976 - 2*t^6. + t^6.024 + 2*t^6.071 + t^6.094 + t^6.142 + 2*t^6.189 + t^7.205 + t^7.252 + 2*t^7.299 + t^7.323 + t^7.347 + 3*t^7.394 + t^7.417 + 3*t^7.441 - t^7.465 + 3*t^7.488 + t^7.512 + 3*t^7.535 - t^7.559 + 3*t^7.583 + 3*t^7.63 - t^7.653 + 2*t^7.677 + t^7.701 + 2*t^7.724 - t^7.748 + t^7.771 + 2*t^7.819 + t^8.575 + 2*t^8.693 + t^8.74 + 2*t^8.788 + t^8.811 + 2*t^8.835 - 4*t^8.858 + 4*t^8.882 - 3*t^8.906 + 5*t^8.929 - 3*t^8.953 + 2*t^8.976 - t^4.488/y - t^7.347/y + t^7.394/y - t^7.465/y + t^7.512/y - t^7.583/y + t^7.63/y + t^8.811/y + t^8.835/y + t^8.858/y + t^8.906/y + t^8.929/y + (3*t^8.953)/y + t^8.976/y - t^4.488*y - t^7.347*y + t^7.394*y - t^7.465*y + t^7.512*y - t^7.583*y + t^7.63*y + t^8.811*y + t^8.835*y + t^8.858*y + t^8.906*y + t^8.929*y + 3*t^8.953*y + t^8.976*y | g1^12*t^2.858 + g1^4*t^2.953 + g1^2*t^2.976 + t^3. + t^3.047/g1^4 + (2*t^3.094)/g1^8 + g1^13*t^4.347 + g1^9*t^4.394 + 2*g1^5*t^4.441 + g1*t^4.488 + (2*t^4.535)/g1^3 + t^4.583/g1^7 + t^4.63/g1^11 + t^4.724/g1^19 + g1^24*t^5.717 + g1^14*t^5.835 + g1^6*t^5.929 + 2*g1^4*t^5.953 + g1^2*t^5.976 - 2*t^6. + t^6.024/g1^2 + (2*t^6.071)/g1^6 + t^6.094/g1^8 + t^6.142/g1^12 + (2*t^6.189)/g1^16 + g1^25*t^7.205 + g1^21*t^7.252 + 2*g1^17*t^7.299 + g1^15*t^7.323 + g1^13*t^7.347 + 3*g1^9*t^7.394 + g1^7*t^7.417 + 3*g1^5*t^7.441 - g1^3*t^7.465 + 3*g1*t^7.488 + t^7.512/g1 + (3*t^7.535)/g1^3 - t^7.559/g1^5 + (3*t^7.583)/g1^7 + (3*t^7.63)/g1^11 - t^7.653/g1^13 + (2*t^7.677)/g1^15 + t^7.701/g1^17 + (2*t^7.724)/g1^19 - t^7.748/g1^21 + t^7.771/g1^23 + (2*t^7.819)/g1^27 + g1^36*t^8.575 + 2*g1^26*t^8.693 + g1^22*t^8.74 + 2*g1^18*t^8.788 + g1^16*t^8.811 + 2*g1^14*t^8.835 - 4*g1^12*t^8.858 + 4*g1^10*t^8.882 - 3*g1^8*t^8.906 + 5*g1^6*t^8.929 - 3*g1^4*t^8.953 + 2*g1^2*t^8.976 - (g1*t^4.488)/y - (g1^13*t^7.347)/y + (g1^9*t^7.394)/y - (g1^3*t^7.465)/y + t^7.512/(g1*y) - t^7.583/(g1^7*y) + t^7.63/(g1^11*y) + (g1^16*t^8.811)/y + (g1^14*t^8.835)/y + (g1^12*t^8.858)/y + (g1^8*t^8.906)/y + (g1^6*t^8.929)/y + (3*g1^4*t^8.953)/y + (g1^2*t^8.976)/y - g1*t^4.488*y - g1^13*t^7.347*y + g1^9*t^7.394*y - g1^3*t^7.465*y + (t^7.512*y)/g1 - (t^7.583*y)/g1^7 + (t^7.63*y)/g1^11 + g1^16*t^8.811*y + g1^14*t^8.835*y + g1^12*t^8.858*y + g1^8*t^8.906*y + g1^6*t^8.929*y + 3*g1^4*t^8.953*y + g1^2*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 |
---|---|---|---|---|---|---|---|---|
58099 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6951 | 0.8523 | 0.8155 | [M:[0.9781, 1.0219, 1.0, 0.9562, 1.0438, 0.9344, 1.0438, 0.9781], q:[0.4672, 0.5547], qb:[0.5109, 0.4891], phi:[0.4945]] | t^2.803 + 2*t^2.934 + t^2.967 + t^3. + 2*t^3.131 + t^4.287 + t^4.352 + 2*t^4.418 + t^4.484 + 2*t^4.549 + t^4.615 + t^4.681 + t^4.812 + t^5.606 + t^5.737 + t^5.77 + t^5.869 + 2*t^5.902 + 3*t^5.934 + t^5.967 - 3*t^6. - t^4.484/y - t^4.484*y | detail | |
58098 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6926 | 0.8483 | 0.8165 | [M:[0.9874, 1.0126, 1.0, 0.9747, 1.0253, 0.9621, 1.0253, 1.0063], q:[0.481, 0.5316], qb:[0.5063, 0.4937], phi:[0.4968]] | t^2.886 + t^2.962 + t^3. + t^3.019 + t^3.038 + 2*t^3.076 + t^4.377 + t^4.415 + 2*t^4.453 + t^4.491 + 2*t^4.528 + t^4.566 + t^4.604 + t^4.68 + t^5.772 + t^5.905 + t^5.962 + t^5.981 - 2*t^6. - t^4.491/y - t^4.491*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 |
---|---|---|---|---|---|---|---|---|---|
50855 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{4}M_{5}$ | 0.6974 | 0.8566 | 0.8141 | [M:[0.9722, 1.0278, 1.0, 0.9445, 1.0555, 0.9167], q:[0.4584, 0.5694], qb:[0.5139, 0.4861], phi:[0.4931]] | t^2.75 + t^2.833 + t^2.917 + t^2.958 + t^3. + t^3.083 + t^3.167 + t^4.229 + t^4.313 + 2*t^4.396 + t^4.479 + 2*t^4.562 + t^4.646 + t^4.729 + t^4.896 + t^5.5 + t^5.584 + t^5.667 + t^5.708 + t^5.75 + t^5.792 + t^5.833 + t^5.875 + 2*t^5.917 + t^5.958 - t^6. - t^4.479/y - t^4.479*y | detail |