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 |
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4511 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7441 | 0.9354 | 0.7955 | [M:[1.0, 0.8789, 0.8183, 1.0606, 1.0, 0.8789, 0.9394, 0.7119], q:[0.5908, 0.4092], qb:[0.5908, 0.5303], phi:[0.4697]] | [M:[[0], [-4], [-6], [2], [0], [-4], [-2], [7]], q:[[3], [-3]], qb:[[3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}M_{5}$ | -3 | t^2.136 + t^2.455 + 2*t^2.637 + 2*t^2.818 + 2*t^3. + t^4.228 + t^4.272 + 2*t^4.409 + 2*t^4.591 + 4*t^4.772 + t^4.91 + 5*t^4.954 + 2*t^5.092 + 2*t^5.136 + 5*t^5.273 + 4*t^5.455 + 6*t^5.637 + 2*t^5.818 - 3*t^6. - 2*t^6.182 - t^6.363 + t^6.407 + t^6.683 + 2*t^6.727 + 2*t^6.864 + 4*t^6.908 + 6*t^7.046 + 5*t^7.09 + 8*t^7.228 + 2*t^7.272 + t^7.365 + 11*t^7.409 + 2*t^7.547 + 10*t^7.591 + 5*t^7.728 + 9*t^7.772 + 8*t^7.91 + 2*t^7.954 + 8*t^8.092 - 7*t^8.136 + 8*t^8.273 - 4*t^8.317 + 2*t^8.455 - t^8.499 + t^8.543 - 6*t^8.637 - 10*t^8.818 + 2*t^8.862 - t^4.409/y - t^6.545/y - t^6.864/y - (2*t^7.046)/y - t^7.228/y + (2*t^7.591)/y + (4*t^7.772)/y + (3*t^7.954)/y + (2*t^8.092)/y + (2*t^8.136)/y + (4*t^8.273)/y + (6*t^8.455)/y + (5*t^8.637)/y - t^8.681/y + (4*t^8.818)/y - t^4.409*y - t^6.545*y - t^6.864*y - 2*t^7.046*y - t^7.228*y + 2*t^7.591*y + 4*t^7.772*y + 3*t^7.954*y + 2*t^8.092*y + 2*t^8.136*y + 4*t^8.273*y + 6*t^8.455*y + 5*t^8.637*y - t^8.681*y + 4*t^8.818*y | g1^7*t^2.136 + t^2.455/g1^6 + (2*t^2.637)/g1^4 + (2*t^2.818)/g1^2 + 2*t^3. + t^4.228/g1^3 + g1^14*t^4.272 + (2*t^4.409)/g1 + 2*g1*t^4.591 + 4*g1^3*t^4.772 + t^4.91/g1^12 + 5*g1^5*t^4.954 + (2*t^5.092)/g1^10 + 2*g1^7*t^5.136 + (5*t^5.273)/g1^8 + (4*t^5.455)/g1^6 + (6*t^5.637)/g1^4 + (2*t^5.818)/g1^2 - 3*t^6. - 2*g1^2*t^6.182 - g1^4*t^6.363 + g1^21*t^6.407 + t^6.683/g1^9 + 2*g1^8*t^6.727 + (2*t^6.864)/g1^7 + 4*g1^10*t^6.908 + (6*t^7.046)/g1^5 + 5*g1^12*t^7.09 + (8*t^7.228)/g1^3 + 2*g1^14*t^7.272 + t^7.365/g1^18 + (11*t^7.409)/g1 + (2*t^7.547)/g1^16 + 10*g1*t^7.591 + (5*t^7.728)/g1^14 + 9*g1^3*t^7.772 + (8*t^7.91)/g1^12 + 2*g1^5*t^7.954 + (8*t^8.092)/g1^10 - 7*g1^7*t^8.136 + (8*t^8.273)/g1^8 - 4*g1^9*t^8.317 + (2*t^8.455)/g1^6 - g1^11*t^8.499 + g1^28*t^8.543 - (6*t^8.637)/g1^4 - (10*t^8.818)/g1^2 + 2*g1^15*t^8.862 - t^4.409/(g1*y) - (g1^6*t^6.545)/y - t^6.864/(g1^7*y) - (2*t^7.046)/(g1^5*y) - t^7.228/(g1^3*y) + (2*g1*t^7.591)/y + (4*g1^3*t^7.772)/y + (3*g1^5*t^7.954)/y + (2*t^8.092)/(g1^10*y) + (2*g1^7*t^8.136)/y + (4*t^8.273)/(g1^8*y) + (6*t^8.455)/(g1^6*y) + (5*t^8.637)/(g1^4*y) - (g1^13*t^8.681)/y + (4*t^8.818)/(g1^2*y) - (t^4.409*y)/g1 - g1^6*t^6.545*y - (t^6.864*y)/g1^7 - (2*t^7.046*y)/g1^5 - (t^7.228*y)/g1^3 + 2*g1*t^7.591*y + 4*g1^3*t^7.772*y + 3*g1^5*t^7.954*y + (2*t^8.092*y)/g1^10 + 2*g1^7*t^8.136*y + (4*t^8.273*y)/g1^8 + (6*t^8.455*y)/g1^6 + (5*t^8.637*y)/g1^4 - g1^13*t^8.681*y + (4*t^8.818*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
6034 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{9}$ | 0.7297 | 0.9109 | 0.8011 | [M:[1.0, 0.899, 0.8485, 1.0505, 1.0, 0.899, 0.9495, 0.6767, 1.1515], q:[0.5757, 0.4243], qb:[0.5757, 0.5252], phi:[0.4748]] | t^2.03 + 2*t^2.697 + 2*t^2.849 + 2*t^3. + t^3.454 + t^4.06 + t^4.273 + 2*t^4.424 + t^4.576 + 4*t^4.727 + 5*t^4.879 + 2*t^5.03 + 3*t^5.394 + t^5.485 + 2*t^5.546 + 6*t^5.697 + 2*t^5.849 - 3*t^6. - t^4.424/y - t^4.424*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 |
---|---|---|---|---|---|---|---|---|---|
2459 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.724 | 0.8987 | 0.8056 | [M:[1.0, 0.8687, 0.8031, 1.0656, 1.0, 0.8687, 0.9344], q:[0.5985, 0.4015], qb:[0.5985, 0.5328], phi:[0.4672]] | t^2.409 + 2*t^2.606 + 2*t^2.803 + 2*t^3. + t^3.811 + t^4.205 + 2*t^4.402 + t^4.598 + 2*t^4.795 + t^4.818 + 3*t^4.992 + 2*t^5.015 + 5*t^5.212 + 4*t^5.409 + 6*t^5.606 + 2*t^5.803 - 3*t^6. - t^4.402/y - t^4.402*y | detail |