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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3226 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}M_{5}$ | 0.6385 | 0.8103 | 0.7879 | [M:[1.1114, 0.7771, 0.75, 0.8614, 1.25], q:[0.75, 0.3886], qb:[0.5, 0.3614], phi:[0.5]] | [M:[[1], [-2], [0], [1], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{5}q_{2}\tilde{q}_{2}$ | -1 | t^2.25 + t^2.331 + 2*t^2.584 + t^3. + 2*t^3.334 + 2*t^3.75 + t^3.831 + t^4.084 + t^4.166 + 2*t^4.5 + t^4.581 + t^4.663 + 2*t^4.834 + 2*t^4.916 + 3*t^5.169 + t^5.25 + t^5.331 + 3*t^5.584 + t^5.666 + 3*t^5.919 - t^6. + 2*t^6.081 + t^6.163 + 4*t^6.334 + t^6.416 + t^6.497 + 4*t^6.669 + 2*t^6.75 + 2*t^6.831 + t^6.913 + t^6.994 + 5*t^7.084 + t^7.166 + 2*t^7.247 + 3*t^7.419 + 4*t^7.5 + t^7.581 + 2*t^7.663 + 4*t^7.753 + 3*t^7.834 + t^7.916 + 2*t^7.997 + 4*t^8.169 + t^8.25 + 2*t^8.413 + t^8.494 + 4*t^8.503 - 2*t^8.584 + 2*t^8.666 + t^8.747 + t^8.828 + 5*t^8.919 - t^4.5/y - t^6.831/y - t^7.084/y + t^7.166/y + t^7.581/y + t^7.834/y + (3*t^7.916)/y + (2*t^8.169)/y + t^8.25/y + t^8.331/y + (4*t^8.584)/y + (2*t^8.666)/y + (4*t^8.919)/y - t^4.5*y - t^6.831*y - t^7.084*y + t^7.166*y + t^7.581*y + t^7.834*y + 3*t^7.916*y + 2*t^8.169*y + t^8.25*y + t^8.331*y + 4*t^8.584*y + 2*t^8.666*y + 4*t^8.919*y | t^2.25 + t^2.331/g1^2 + 2*g1*t^2.584 + t^3. + 2*g1*t^3.334 + 2*t^3.75 + t^3.831/g1^2 + g1*t^4.084 + t^4.166/g1 + 2*t^4.5 + t^4.581/g1^2 + t^4.663/g1^4 + 2*g1*t^4.834 + (2*t^4.916)/g1 + 3*g1^2*t^5.169 + t^5.25 + t^5.331/g1^2 + 3*g1*t^5.584 + t^5.666/g1 + 3*g1^2*t^5.919 - t^6. + (2*t^6.081)/g1^2 + t^6.163/g1^4 + 4*g1*t^6.334 + t^6.416/g1 + t^6.497/g1^3 + 4*g1^2*t^6.669 + 2*t^6.75 + (2*t^6.831)/g1^2 + t^6.913/g1^4 + t^6.994/g1^6 + 5*g1*t^7.084 + t^7.166/g1 + (2*t^7.247)/g1^3 + 3*g1^2*t^7.419 + 4*t^7.5 + t^7.581/g1^2 + (2*t^7.663)/g1^4 + 4*g1^3*t^7.753 + 3*g1*t^7.834 + t^7.916/g1 + (2*t^7.997)/g1^3 + 4*g1^2*t^8.169 + t^8.25 + (2*t^8.413)/g1^4 + t^8.494/g1^6 + 4*g1^3*t^8.503 - 2*g1*t^8.584 + (2*t^8.666)/g1 + t^8.747/g1^3 + t^8.828/g1^5 + 5*g1^2*t^8.919 - t^4.5/y - t^6.831/(g1^2*y) - (g1*t^7.084)/y + t^7.166/(g1*y) + t^7.581/(g1^2*y) + (g1*t^7.834)/y + (3*t^7.916)/(g1*y) + (2*g1^2*t^8.169)/y + t^8.25/y + t^8.331/(g1^2*y) + (4*g1*t^8.584)/y + (2*t^8.666)/(g1*y) + (4*g1^2*t^8.919)/y - t^4.5*y - (t^6.831*y)/g1^2 - g1*t^7.084*y + (t^7.166*y)/g1 + (t^7.581*y)/g1^2 + g1*t^7.834*y + (3*t^7.916*y)/g1 + 2*g1^2*t^8.169*y + t^8.25*y + (t^8.331*y)/g1^2 + 4*g1*t^8.584*y + (2*t^8.666*y)/g1 + 4*g1^2*t^8.919*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 |
---|---|---|---|---|---|---|---|---|
3643 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6491 | 0.8288 | 0.7832 | [M:[1.1252, 0.7495, 0.75, 0.8752, 1.25, 0.8748], q:[0.75, 0.3748], qb:[0.5, 0.3752], phi:[0.5]] | t^2.249 + t^2.25 + t^2.624 + 2*t^2.626 + t^3. + t^3.376 + t^3.749 + 2*t^3.75 + t^4.124 + t^4.126 + t^4.497 + t^4.499 + 2*t^4.5 + t^4.873 + 3*t^4.874 + 2*t^4.876 + 2*t^5.249 + 3*t^5.25 + 3*t^5.251 + t^5.624 + 2*t^5.626 + t^5.997 + 2*t^5.999 - t^4.5/y - t^4.5*y | detail | |
3644 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6587 | 0.8488 | 0.776 | [M:[1.1039, 0.7922, 0.75, 0.8539, 1.25, 0.7078], q:[0.75, 0.3961], qb:[0.5, 0.3539], phi:[0.5]] | t^2.123 + t^2.25 + t^2.377 + 2*t^2.562 + t^3. + 2*t^3.312 + 2*t^3.75 + t^4.062 + t^4.188 + t^4.247 + t^4.373 + 3*t^4.5 + t^4.627 + 2*t^4.685 + t^4.753 + 2*t^4.812 + 2*t^4.938 + 4*t^5.123 + t^5.25 + t^5.377 + 2*t^5.435 + 3*t^5.562 + t^5.688 + 5*t^5.873 - t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
2717 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ | 0.6575 | 0.845 | 0.7781 | [M:[1.1114, 0.7771, 0.75, 0.8614], q:[0.75, 0.3886], qb:[0.5, 0.3614], phi:[0.5]] | 2*t^2.25 + t^2.331 + 2*t^2.584 + t^3. + 2*t^3.334 + t^3.75 + t^3.831 + t^4.084 + t^4.166 + 4*t^4.5 + 2*t^4.581 + t^4.663 + 4*t^4.834 + 2*t^4.916 + 3*t^5.169 + 2*t^5.25 + t^5.331 + 5*t^5.584 + t^5.666 + 3*t^5.919 - t^6. - t^4.5/y - t^4.5*y | detail |