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 |
---|---|---|---|---|---|---|---|---|---|
4825 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}M_{8}$ | 0.6433 | 0.7961 | 0.8081 | [M:[0.8894, 0.7106, 0.7553, 0.8447, 1.1553, 1.2, 0.7553, 1.2447], q:[0.7553, 0.3553], qb:[0.4894, 0.8], phi:[0.4]] | [M:[[2], [-2], [-1], [1], [-1], [0], [-1], [1]], q:[[-1], [-1]], qb:[[2], [0]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.132 + t^2.266 + t^2.534 + t^2.668 + t^3.332 + t^3.466 + t^3.6 + t^3.734 + t^4.136 + t^4.264 + t^4.398 + 2*t^4.532 + 2*t^4.666 + t^4.8 + 2*t^4.934 + t^5.068 + t^5.336 + t^5.464 + t^5.598 + 3*t^5.732 + 2*t^5.866 - t^6. + t^6.134 + 2*t^6.268 + t^6.395 + t^6.529 + 3*t^6.664 + t^6.671 + 3*t^6.798 + t^6.805 + 2*t^6.932 + 3*t^7.066 + 2*t^7.2 + 2*t^7.468 + t^7.595 + 2*t^7.602 + t^7.729 + 4*t^7.864 + t^7.871 + 4*t^7.998 + t^8.005 - t^8.132 + t^8.273 + 2*t^8.4 + t^8.527 - 2*t^8.534 + t^8.661 - t^8.668 + 3*t^8.795 + t^8.802 + 3*t^8.929 - t^4.2/y - t^6.332/y - t^6.466/y - t^6.868/y + t^7.398/y + t^7.532/y + t^7.666/y + (2*t^7.8)/y + (2*t^7.934)/y + t^8.068/y + t^8.202/y + t^8.598/y + t^8.732/y + (3*t^8.866)/y - t^4.2*y - t^6.332*y - t^6.466*y - t^6.868*y + t^7.398*y + t^7.532*y + t^7.666*y + 2*t^7.8*y + 2*t^7.934*y + t^8.068*y + t^8.202*y + t^8.598*y + t^8.732*y + 3*t^8.866*y | t^2.132/g1^2 + t^2.266/g1 + g1*t^2.534 + g1^2*t^2.668 + t^3.332/g1^2 + t^3.466/g1 + t^3.6 + g1*t^3.734 + g1^4*t^4.136 + t^4.264/g1^4 + t^4.398/g1^3 + (2*t^4.532)/g1^2 + (2*t^4.666)/g1 + t^4.8 + 2*g1*t^4.934 + g1^2*t^5.068 + g1^4*t^5.336 + t^5.464/g1^4 + t^5.598/g1^3 + (3*t^5.732)/g1^2 + (2*t^5.866)/g1 - t^6. + g1*t^6.134 + 2*g1^2*t^6.268 + t^6.395/g1^6 + t^6.529/g1^5 + (3*t^6.664)/g1^4 + g1^5*t^6.671 + (3*t^6.798)/g1^3 + g1^6*t^6.805 + (2*t^6.932)/g1^2 + (3*t^7.066)/g1 + 2*t^7.2 + 2*g1^2*t^7.468 + t^7.595/g1^6 + 2*g1^3*t^7.602 + t^7.729/g1^5 + (4*t^7.864)/g1^4 + g1^5*t^7.871 + (4*t^7.998)/g1^3 + g1^6*t^8.005 - t^8.132/g1^2 + g1^8*t^8.273 + 2*t^8.4 + t^8.527/g1^8 - 2*g1*t^8.534 + t^8.661/g1^7 - g1^2*t^8.668 + (3*t^8.795)/g1^6 + g1^3*t^8.802 + (3*t^8.929)/g1^5 - t^4.2/y - t^6.332/(g1^2*y) - t^6.466/(g1*y) - (g1^2*t^6.868)/y + t^7.398/(g1^3*y) + t^7.532/(g1^2*y) + t^7.666/(g1*y) + (2*t^7.8)/y + (2*g1*t^7.934)/y + (g1^2*t^8.068)/y + (g1^3*t^8.202)/y + t^8.598/(g1^3*y) + t^8.732/(g1^2*y) + (3*t^8.866)/(g1*y) - t^4.2*y - (t^6.332*y)/g1^2 - (t^6.466*y)/g1 - g1^2*t^6.868*y + (t^7.398*y)/g1^3 + (t^7.532*y)/g1^2 + (t^7.666*y)/g1 + 2*t^7.8*y + 2*g1*t^7.934*y + g1^2*t^8.068*y + g1^3*t^8.202*y + (t^8.598*y)/g1^3 + (t^8.732*y)/g1^2 + (3*t^8.866*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 |
---|---|---|---|---|---|---|---|---|
6442 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}M_{8}$ + ${ }M_{7}M_{9}$ | 0.6245 | 0.762 | 0.8196 | [M:[0.8826, 0.7174, 0.7587, 0.8413, 1.1587, 1.2, 0.7587, 1.2413, 1.2413], q:[0.7587, 0.3587], qb:[0.4826, 0.8], phi:[0.4]] | t^2.152 + t^2.524 + t^2.648 + t^3.352 + t^3.476 + t^3.6 + 2*t^3.724 + t^4.095 + t^4.305 + t^4.552 + 2*t^4.676 + t^4.924 + t^5.048 + t^5.295 + t^5.505 + 2*t^5.752 + 2*t^5.876 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
6443 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}M_{8}$ + ${ }M_{8}M_{9}$ | 0.6622 | 0.8307 | 0.7972 | [M:[0.8959, 0.7041, 0.7521, 0.8479, 1.1521, 1.2, 0.7521, 1.2479, 0.7521], q:[0.7521, 0.3521], qb:[0.4959, 0.8], phi:[0.4]] | t^2.112 + 2*t^2.256 + t^2.544 + t^2.688 + t^3.312 + t^3.456 + t^3.6 + t^4.175 + t^4.225 + 2*t^4.369 + 4*t^4.512 + 2*t^4.656 + 2*t^4.8 + 3*t^4.944 + t^5.088 + t^5.375 + t^5.425 + 2*t^5.569 + 4*t^5.712 + 2*t^5.856 - 2*t^6. - 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 |
---|---|---|---|---|---|---|---|---|---|
2650 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$ | 0.6726 | 0.8389 | 0.8018 | [M:[1.0455, 0.775, 0.9804, 0.8401, 1.1599, 1.0898, 0.7048, 1.0196], q:[0.567, 0.3875], qb:[0.4526, 0.7724], phi:[0.4551]] | t^2.114 + t^2.325 + t^2.52 + t^3.059 + t^3.137 + t^3.269 + t^3.48 + t^3.69 + t^4.018 + t^4.081 + 2*t^4.229 + t^4.424 + t^4.439 + t^4.635 + t^4.65 + t^4.767 + t^4.845 + t^5.041 + t^5.173 + t^5.251 + 2*t^5.384 + t^5.579 + 2*t^5.594 + t^5.79 + t^5.805 - 2*t^6. - t^4.365/y - t^4.365*y | detail |