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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47010 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6477 | 0.8126 | 0.797 | [M:[0.8193, 0.7807, 1.2, 0.7613, 0.8], q:[0.8, 0.3807], qb:[0.4193, 0.8], phi:[0.4]] | [M:[[1], [-1], [0], [-2], [0]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}M_{5}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.284 + t^2.342 + 2*t^2.4 + t^2.458 + t^3.484 + t^3.542 + t^3.6 + t^3.658 + t^4.568 + t^4.626 + 3*t^4.684 + 3*t^4.742 + 5*t^4.8 + 2*t^4.858 + t^4.916 + t^5.768 + 2*t^5.826 + 3*t^5.884 + 3*t^5.942 + t^6. + t^6.058 + t^6.852 + t^6.91 + 4*t^6.968 + 5*t^7.026 + 7*t^7.084 + 5*t^7.142 + 6*t^7.2 + 2*t^7.258 + t^7.316 + t^7.374 + t^8.052 + 2*t^8.11 + 4*t^8.168 + 5*t^8.226 + 4*t^8.284 + t^8.342 - t^8.4 - 2*t^8.458 - 2*t^8.516 - t^4.2/y - t^6.484/y - t^6.542/y - t^6.6/y - t^6.658/y + t^7.626/y + (2*t^7.684)/y + (4*t^7.742)/y + (3*t^7.8)/y + (3*t^7.858)/y + t^7.916/y + t^8.826/y + (2*t^8.884)/y + (3*t^8.942)/y - t^4.2*y - t^6.484*y - t^6.542*y - t^6.6*y - t^6.658*y + t^7.626*y + 2*t^7.684*y + 4*t^7.742*y + 3*t^7.8*y + 3*t^7.858*y + t^7.916*y + t^8.826*y + 2*t^8.884*y + 3*t^8.942*y | t^2.284/g1^2 + t^2.342/g1 + 2*t^2.4 + g1*t^2.458 + t^3.484/g1^2 + t^3.542/g1 + t^3.6 + g1*t^3.658 + t^4.568/g1^4 + t^4.626/g1^3 + (3*t^4.684)/g1^2 + (3*t^4.742)/g1 + 5*t^4.8 + 2*g1*t^4.858 + g1^2*t^4.916 + t^5.768/g1^4 + (2*t^5.826)/g1^3 + (3*t^5.884)/g1^2 + (3*t^5.942)/g1 + t^6. + g1*t^6.058 + t^6.852/g1^6 + t^6.91/g1^5 + (4*t^6.968)/g1^4 + (5*t^7.026)/g1^3 + (7*t^7.084)/g1^2 + (5*t^7.142)/g1 + 6*t^7.2 + 2*g1*t^7.258 + g1^2*t^7.316 + g1^3*t^7.374 + t^8.052/g1^6 + (2*t^8.11)/g1^5 + (4*t^8.168)/g1^4 + (5*t^8.226)/g1^3 + (4*t^8.284)/g1^2 + t^8.342/g1 - t^8.4 - 2*g1*t^8.458 - 2*g1^2*t^8.516 - t^4.2/y - t^6.484/(g1^2*y) - t^6.542/(g1*y) - t^6.6/y - (g1*t^6.658)/y + t^7.626/(g1^3*y) + (2*t^7.684)/(g1^2*y) + (4*t^7.742)/(g1*y) + (3*t^7.8)/y + (3*g1*t^7.858)/y + (g1^2*t^7.916)/y + t^8.826/(g1^3*y) + (2*t^8.884)/(g1^2*y) + (3*t^8.942)/(g1*y) - t^4.2*y - (t^6.484*y)/g1^2 - (t^6.542*y)/g1 - t^6.6*y - g1*t^6.658*y + (t^7.626*y)/g1^3 + (2*t^7.684*y)/g1^2 + (4*t^7.742*y)/g1 + 3*t^7.8*y + 3*g1*t^7.858*y + g1^2*t^7.916*y + (t^8.826*y)/g1^3 + (2*t^8.884*y)/g1^2 + (3*t^8.942*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
55283 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6655 | 0.8456 | 0.787 | [M:[0.8272, 0.7728, 1.2, 0.7456, 0.8, 0.7728], q:[0.8, 0.3728], qb:[0.4272, 0.8], phi:[0.4]] | t^2.237 + 2*t^2.318 + 2*t^2.4 + t^2.482 + t^3.437 + t^3.518 + t^3.6 + t^4.474 + 2*t^4.555 + 5*t^4.637 + 5*t^4.718 + 6*t^4.8 + 2*t^4.882 + t^4.963 + t^5.674 + 3*t^5.755 + 4*t^5.837 + 3*t^5.918 - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
46770 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6312 | 0.7836 | 0.8055 | [M:[0.8193, 0.7807, 1.2, 0.7613], q:[0.8, 0.3807], qb:[0.4193, 0.8], phi:[0.4]] | t^2.284 + t^2.342 + t^2.4 + t^2.458 + t^3.484 + t^3.542 + 2*t^3.6 + t^3.658 + t^4.568 + t^4.626 + 2*t^4.684 + 2*t^4.742 + 3*t^4.8 + t^4.858 + t^4.916 + t^5.768 + 2*t^5.826 + 3*t^5.884 + 3*t^5.942 + t^6. - t^4.2/y - t^4.2*y | detail |