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 |
---|---|---|---|---|---|---|---|---|---|
56172 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6957 | 0.8499 | 0.8186 | [M:[1.0, 1.022, 0.956, 0.934, 1.022, 0.978, 1.066], q:[0.456, 0.544], qb:[0.522, 0.522], phi:[0.489]] | [M:[[0], [2], [-4], [-6], [2], [-2], [6]], q:[[-4], [4]], qb:[[2], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{2}\phi_{1}^{2}$ | -3 | t^2.868 + 2*t^2.934 + t^3. + t^3.066 + 2*t^3.198 + t^4.203 + 2*t^4.401 + t^4.467 + 3*t^4.599 + 2*t^4.665 + t^4.731 + 4*t^5.868 + t^5.934 - 3*t^6. + t^6.066 + 4*t^6.132 + t^6.264 + 3*t^6.396 + t^7.071 + 2*t^7.137 + 4*t^7.335 + 2*t^7.401 - t^7.467 + 4*t^7.533 + 7*t^7.599 + 2*t^7.665 + 4*t^7.797 + 3*t^7.863 + 2*t^7.929 + t^8.406 + 2*t^8.604 - t^8.67 + 7*t^8.802 - 7*t^8.934 - t^4.467/y - t^7.335/y + t^7.599/y + (2*t^8.802)/y + (2*t^8.868)/y + (3*t^8.934)/y - t^4.467*y - t^7.335*y + t^7.599*y + 2*t^8.802*y + 2*t^8.868*y + 3*t^8.934*y | t^2.868/g1^4 + (2*t^2.934)/g1^2 + t^3. + g1^2*t^3.066 + 2*g1^6*t^3.198 + t^4.203/g1^9 + (2*t^4.401)/g1^3 + t^4.467/g1 + 3*g1^3*t^4.599 + 2*g1^5*t^4.665 + g1^7*t^4.731 + (4*t^5.868)/g1^4 + t^5.934/g1^2 - 3*t^6. + g1^2*t^6.066 + 4*g1^4*t^6.132 + g1^8*t^6.264 + 3*g1^12*t^6.396 + t^7.071/g1^13 + (2*t^7.137)/g1^11 + (4*t^7.335)/g1^5 + (2*t^7.401)/g1^3 - t^7.467/g1 + 4*g1*t^7.533 + 7*g1^3*t^7.599 + 2*g1^5*t^7.665 + 4*g1^9*t^7.797 + 3*g1^11*t^7.863 + 2*g1^13*t^7.929 + t^8.406/g1^18 + (2*t^8.604)/g1^12 - t^8.67/g1^10 + (7*t^8.802)/g1^6 - (7*t^8.934)/g1^2 - t^4.467/(g1*y) - t^7.335/(g1^5*y) + (g1^3*t^7.599)/y + (2*t^8.802)/(g1^6*y) + (2*t^8.868)/(g1^4*y) + (3*t^8.934)/(g1^2*y) - (t^4.467*y)/g1 - (t^7.335*y)/g1^5 + g1^3*t^7.599*y + (2*t^8.802*y)/g1^6 + (2*t^8.868*y)/g1^4 + (3*t^8.934*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 |
---|---|---|---|---|---|---|---|---|
58349 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{2}M_{8}$ | 0.698 | 0.8534 | 0.8179 | [M:[1.0, 1.0273, 0.9454, 0.9181, 1.0273, 0.9727, 1.0819, 0.9727], q:[0.4454, 0.5546], qb:[0.5273, 0.5273], phi:[0.4864]] | t^2.836 + 3*t^2.918 + t^3. + 2*t^3.246 + t^4.132 + 2*t^4.377 + t^4.459 + 3*t^4.623 + 2*t^4.705 + t^4.787 + t^5.754 + 7*t^5.836 + t^5.918 - 5*t^6. - t^4.459/y - t^4.459*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 |
---|---|---|---|---|---|---|---|---|---|
50786 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ | 0.7037 | 0.8634 | 0.8151 | [M:[1.0, 1.0362, 0.9275, 0.8913, 1.0362, 0.9638], q:[0.4275, 0.5725], qb:[0.5362, 0.5362], phi:[0.4819]] | t^2.674 + t^2.783 + 2*t^2.891 + t^3. + t^3.109 + t^3.326 + t^4.011 + 2*t^4.337 + t^4.446 + 3*t^4.663 + 2*t^4.772 + t^4.88 + t^5.348 + t^5.457 + 2*t^5.565 + t^5.674 + 5*t^5.783 + t^5.891 - 2*t^6. - t^4.446/y - t^4.446*y | detail |