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 |
---|---|---|---|---|---|---|---|---|---|
50983 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6295 | 0.819 | 0.7686 | [M:[1.2582, 0.9342, 0.7418, 1.0, 0.7747, 0.676], q:[0.5, 0.2418], qb:[0.5658, 0.7582], phi:[0.4835]] | [M:[[1], [-8], [-1], [0], [3], [-9]], q:[[0], [-1]], qb:[[8], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.028 + t^2.225 + t^2.324 + t^2.423 + t^2.803 + 2*t^2.901 + t^3. + t^3.775 + t^3.873 + t^4.056 + t^4.253 + t^4.352 + 3*t^4.451 + t^4.549 + 3*t^4.648 + t^4.747 + t^4.83 + 2*t^4.846 + 2*t^4.929 + t^5.028 + 3*t^5.127 + 3*t^5.225 + 3*t^5.324 + t^5.423 + t^5.605 + 2*t^5.704 + 4*t^5.803 + 2*t^5.901 - 2*t^6. + t^6.084 + t^6.099 + t^6.281 + t^6.296 + t^6.38 + 2*t^6.478 + t^6.577 + 5*t^6.676 + 3*t^6.775 + t^6.858 + 4*t^6.873 + 2*t^6.957 + t^6.972 + t^7.056 + 3*t^7.071 + 3*t^7.154 + 2*t^7.17 + 3*t^7.253 + 2*t^7.268 + 6*t^7.352 + 3*t^7.451 + 4*t^7.549 + t^7.633 + 4*t^7.648 + 2*t^7.732 + 4*t^7.747 + 4*t^7.83 + t^7.846 + 3*t^7.929 - t^7.944 + 2*t^8.028 + t^8.111 + 5*t^8.127 + t^8.225 + t^8.309 - t^8.324 + 2*t^8.408 - 4*t^8.423 + 4*t^8.506 - t^8.522 + 5*t^8.605 + 8*t^8.704 + 2*t^8.719 + t^8.886 - t^8.901 + 2*t^8.985 - t^4.451/y - t^6.478/y - t^6.775/y + t^7.451/y + (2*t^7.549)/y + (2*t^7.648)/y + t^7.747/y + t^7.83/y + (2*t^7.929)/y + (2*t^8.028)/y + (4*t^8.127)/y + (4*t^8.225)/y + (3*t^8.324)/y + (2*t^8.423)/y - t^8.506/y + (2*t^8.704)/y + (2*t^8.803)/y + (3*t^8.901)/y - t^4.451*y - t^6.478*y - t^6.775*y + t^7.451*y + 2*t^7.549*y + 2*t^7.648*y + t^7.747*y + t^7.83*y + 2*t^7.929*y + 2*t^8.028*y + 4*t^8.127*y + 4*t^8.225*y + 3*t^8.324*y + 2*t^8.423*y - t^8.506*y + 2*t^8.704*y + 2*t^8.803*y + 3*t^8.901*y | t^2.028/g1^9 + t^2.225/g1 + g1^3*t^2.324 + g1^7*t^2.423 + t^2.803/g1^8 + (2*t^2.901)/g1^4 + t^3. + g1*t^3.775 + g1^5*t^3.873 + t^4.056/g1^18 + t^4.253/g1^10 + t^4.352/g1^6 + (3*t^4.451)/g1^2 + g1^2*t^4.549 + 3*g1^6*t^4.648 + g1^10*t^4.747 + t^4.83/g1^17 + 2*g1^14*t^4.846 + (2*t^4.929)/g1^13 + t^5.028/g1^9 + (3*t^5.127)/g1^5 + (3*t^5.225)/g1 + 3*g1^3*t^5.324 + g1^7*t^5.423 + t^5.605/g1^16 + (2*t^5.704)/g1^12 + (4*t^5.803)/g1^8 + (2*t^5.901)/g1^4 - 2*t^6. + t^6.084/g1^27 + g1^4*t^6.099 + t^6.281/g1^19 + g1^12*t^6.296 + t^6.38/g1^15 + (2*t^6.478)/g1^11 + t^6.577/g1^7 + (5*t^6.676)/g1^3 + 3*g1*t^6.775 + t^6.858/g1^26 + 4*g1^5*t^6.873 + (2*t^6.957)/g1^22 + g1^9*t^6.972 + t^7.056/g1^18 + 3*g1^13*t^7.071 + (3*t^7.154)/g1^14 + 2*g1^17*t^7.17 + (3*t^7.253)/g1^10 + 2*g1^21*t^7.268 + (6*t^7.352)/g1^6 + (3*t^7.451)/g1^2 + 4*g1^2*t^7.549 + t^7.633/g1^25 + 4*g1^6*t^7.648 + (2*t^7.732)/g1^21 + 4*g1^10*t^7.747 + (4*t^7.83)/g1^17 + g1^14*t^7.846 + (3*t^7.929)/g1^13 - g1^18*t^7.944 + (2*t^8.028)/g1^9 + t^8.111/g1^36 + (5*t^8.127)/g1^5 + t^8.225/g1 + t^8.309/g1^28 - g1^3*t^8.324 + (2*t^8.408)/g1^24 - 4*g1^7*t^8.423 + (4*t^8.506)/g1^20 - g1^11*t^8.522 + (5*t^8.605)/g1^16 + (8*t^8.704)/g1^12 + 2*g1^19*t^8.719 + t^8.886/g1^35 - t^8.901/g1^4 + (2*t^8.985)/g1^31 - t^4.451/(g1^2*y) - t^6.478/(g1^11*y) - (g1*t^6.775)/y + t^7.451/(g1^2*y) + (2*g1^2*t^7.549)/y + (2*g1^6*t^7.648)/y + (g1^10*t^7.747)/y + t^7.83/(g1^17*y) + (2*t^7.929)/(g1^13*y) + (2*t^8.028)/(g1^9*y) + (4*t^8.127)/(g1^5*y) + (4*t^8.225)/(g1*y) + (3*g1^3*t^8.324)/y + (2*g1^7*t^8.423)/y - t^8.506/(g1^20*y) + (2*t^8.704)/(g1^12*y) + (2*t^8.803)/(g1^8*y) + (3*t^8.901)/(g1^4*y) - (t^4.451*y)/g1^2 - (t^6.478*y)/g1^11 - g1*t^6.775*y + (t^7.451*y)/g1^2 + 2*g1^2*t^7.549*y + 2*g1^6*t^7.648*y + g1^10*t^7.747*y + (t^7.83*y)/g1^17 + (2*t^7.929*y)/g1^13 + (2*t^8.028*y)/g1^9 + (4*t^8.127*y)/g1^5 + (4*t^8.225*y)/g1 + 3*g1^3*t^8.324*y + 2*g1^7*t^8.423*y - (t^8.506*y)/g1^20 + (2*t^8.704*y)/g1^12 + (2*t^8.803*y)/g1^8 + (3*t^8.901*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
56187 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.6489 | 0.8546 | 0.7592 | [M:[1.2585, 0.9323, 0.7415, 1.0, 0.7754, 0.6739, 0.7415], q:[0.5, 0.2415], qb:[0.5677, 0.7585], phi:[0.4831]] | t^2.022 + 2*t^2.225 + t^2.326 + t^2.428 + t^2.797 + 2*t^2.899 + t^3. + t^3.877 + t^4.043 + 2*t^4.246 + t^4.348 + 5*t^4.449 + 2*t^4.551 + 4*t^4.652 + t^4.754 + t^4.819 + 2*t^4.855 + 2*t^4.92 + 2*t^5.022 + 5*t^5.123 + 4*t^5.225 + 3*t^5.326 + t^5.428 + t^5.594 + 2*t^5.696 + 3*t^5.797 + 2*t^5.899 - 3*t^6. - t^4.449/y - t^4.449*y | detail | |
56261 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6251 | 0.8117 | 0.7701 | [M:[1.2536, 0.971, 0.7464, 1.0, 0.7609, 0.7174, 1.029], q:[0.5, 0.2464], qb:[0.529, 0.7536], phi:[0.4928]] | t^2.152 + t^2.239 + t^2.283 + t^2.326 + 2*t^2.957 + t^3. + t^3.087 + t^3.761 + t^3.804 + t^4.304 + t^4.391 + t^4.435 + 3*t^4.478 + t^4.522 + 3*t^4.565 + t^4.609 + 2*t^4.652 + 2*t^5.109 + 2*t^5.196 + 3*t^5.239 + 3*t^5.283 + 2*t^5.326 + t^5.37 + t^5.413 + 3*t^5.913 + 2*t^5.957 - 2*t^6. - t^4.478/y - t^4.478*y | detail | |
56190 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6499 | 0.858 | 0.7574 | [M:[1.2589, 0.9291, 0.7411, 1.0, 0.7766, 0.6702, 0.7057], q:[0.5, 0.2411], qb:[0.5709, 0.7589], phi:[0.4823]] | t^2.011 + t^2.117 + t^2.223 + t^2.33 + t^2.436 + t^2.787 + 2*t^2.894 + t^3. + t^3.777 + t^4.021 + t^4.128 + 2*t^4.234 + 2*t^4.34 + 4*t^4.447 + 2*t^4.553 + 3*t^4.66 + t^4.766 + t^4.798 + 2*t^4.872 + 3*t^4.904 + 3*t^5.011 + 4*t^5.117 + 3*t^5.223 + 3*t^5.33 + t^5.436 + t^5.575 + 2*t^5.681 + 4*t^5.787 + 2*t^5.894 - 2*t^6. - t^4.447/y - t^4.447*y | detail | |
56183 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6268 | 0.8143 | 0.7698 | [M:[1.2559, 0.9526, 0.7441, 1.0, 0.7678, 0.6967, 1.0237], q:[0.5, 0.2441], qb:[0.5474, 0.7559], phi:[0.4882]] | t^2.09 + t^2.232 + t^2.303 + t^2.374 + t^2.858 + t^2.929 + t^3. + t^3.071 + t^3.768 + t^3.839 + t^4.18 + t^4.322 + t^4.393 + 3*t^4.464 + t^4.536 + 3*t^4.607 + t^4.678 + 2*t^4.749 + t^4.948 + t^5.019 + t^5.09 + 3*t^5.161 + 2*t^5.232 + 3*t^5.303 + 2*t^5.374 + t^5.446 + t^5.716 + t^5.787 + 2*t^5.858 + 2*t^5.929 - t^6. - t^4.464/y - t^4.464*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 |
---|---|---|---|---|---|---|---|---|---|
47280 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}^{2}$ | 0.6087 | 0.7781 | 0.7823 | [M:[1.2578, 0.9373, 0.7422, 1.0, 0.7735], q:[0.5, 0.2422], qb:[0.5627, 0.7578], phi:[0.4843]] | t^2.226 + t^2.321 + t^2.415 + t^2.812 + 2*t^2.906 + t^3. + t^3.774 + t^3.868 + t^3.962 + 2*t^4.453 + t^4.547 + 3*t^4.641 + t^4.735 + 2*t^4.829 + 3*t^5.132 + 3*t^5.226 + 3*t^5.321 + t^5.415 + t^5.624 + 2*t^5.718 + 3*t^5.812 + t^5.906 - 2*t^6. - t^4.453/y - t^4.453*y | detail |