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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4542 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6999 | 0.8617 | 0.8123 | [M:[1.0643, 0.9035, 0.9357, 1.0322, 1.0, 0.9678, 1.0322, 0.9357], q:[0.5, 0.4357], qb:[0.5643, 0.5322], phi:[0.492]] | [M:[[8], [-12], [-8], [4], [0], [-4], [4], [-8]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{3}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -3 | t^2.711 + 2*t^2.807 + t^2.952 + t^3. + 2*t^3.096 + t^4.09 + t^4.283 + t^4.379 + 2*t^4.476 + t^4.572 + 2*t^4.669 + t^4.765 + t^4.862 + t^5.421 + 2*t^5.518 + 2*t^5.614 + t^5.662 + 2*t^5.759 + 2*t^5.807 + 3*t^5.904 + t^5.952 - 3*t^6. + 2*t^6.048 - t^6.096 + t^6.193 - t^6.289 - t^6.386 + t^6.801 + 2*t^6.897 + t^6.993 + t^7.042 + 3*t^7.09 - t^7.138 + 4*t^7.186 + t^7.235 + 3*t^7.283 + 3*t^7.379 + t^7.428 + 4*t^7.476 - t^7.524 + 3*t^7.572 + t^7.621 + 2*t^7.669 - t^7.717 + 2*t^7.765 + t^7.862 - t^7.91 + t^7.958 + t^8.132 + t^8.18 + 2*t^8.228 + 2*t^8.325 + 2*t^8.373 + 2*t^8.421 + 3*t^8.469 + 4*t^8.566 + 2*t^8.614 + t^8.662 + 5*t^8.759 - 8*t^8.807 + 5*t^8.855 - 3*t^8.904 + t^8.952 - t^4.476/y - t^7.186/y - t^7.283/y + t^7.379/y - t^7.428/y + t^7.524/y - t^7.572/y + t^7.669/y + t^7.765/y + (2*t^8.518)/y + t^8.614/y + t^8.662/y + t^8.711/y + (2*t^8.759)/y + (4*t^8.807)/y + (4*t^8.904)/y + t^8.952/y - t^4.476*y - t^7.186*y - t^7.283*y + t^7.379*y - t^7.428*y + t^7.524*y - t^7.572*y + t^7.669*y + t^7.765*y + 2*t^8.518*y + t^8.614*y + t^8.662*y + t^8.711*y + 2*t^8.759*y + 4*t^8.807*y + 4*t^8.904*y + t^8.952*y | t^2.711/g1^12 + (2*t^2.807)/g1^8 + t^2.952/g1^2 + t^3. + 2*g1^4*t^3.096 + t^4.09/g1^17 + t^4.283/g1^9 + t^4.379/g1^5 + (2*t^4.476)/g1 + g1^3*t^4.572 + 2*g1^7*t^4.669 + g1^11*t^4.765 + g1^15*t^4.862 + t^5.421/g1^24 + (2*t^5.518)/g1^20 + (2*t^5.614)/g1^16 + t^5.662/g1^14 + (2*t^5.759)/g1^10 + (2*t^5.807)/g1^8 + (3*t^5.904)/g1^4 + t^5.952/g1^2 - 3*t^6. + 2*g1^2*t^6.048 - g1^4*t^6.096 + g1^8*t^6.193 - g1^12*t^6.289 - g1^16*t^6.386 + t^6.801/g1^29 + (2*t^6.897)/g1^25 + t^6.993/g1^21 + t^7.042/g1^19 + (3*t^7.09)/g1^17 - t^7.138/g1^15 + (4*t^7.186)/g1^13 + t^7.235/g1^11 + (3*t^7.283)/g1^9 + (3*t^7.379)/g1^5 + t^7.428/g1^3 + (4*t^7.476)/g1 - g1*t^7.524 + 3*g1^3*t^7.572 + g1^5*t^7.621 + 2*g1^7*t^7.669 - g1^9*t^7.717 + 2*g1^11*t^7.765 + g1^15*t^7.862 - g1^17*t^7.91 + g1^19*t^7.958 + t^8.132/g1^36 + t^8.18/g1^34 + (2*t^8.228)/g1^32 + (2*t^8.325)/g1^28 + (2*t^8.373)/g1^26 + (2*t^8.421)/g1^24 + (3*t^8.469)/g1^22 + (4*t^8.566)/g1^18 + (2*t^8.614)/g1^16 + t^8.662/g1^14 + (5*t^8.759)/g1^10 - (8*t^8.807)/g1^8 + (5*t^8.855)/g1^6 - (3*t^8.904)/g1^4 + t^8.952/g1^2 - t^4.476/(g1*y) - t^7.186/(g1^13*y) - t^7.283/(g1^9*y) + t^7.379/(g1^5*y) - t^7.428/(g1^3*y) + (g1*t^7.524)/y - (g1^3*t^7.572)/y + (g1^7*t^7.669)/y + (g1^11*t^7.765)/y + (2*t^8.518)/(g1^20*y) + t^8.614/(g1^16*y) + t^8.662/(g1^14*y) + t^8.711/(g1^12*y) + (2*t^8.759)/(g1^10*y) + (4*t^8.807)/(g1^8*y) + (4*t^8.904)/(g1^4*y) + t^8.952/(g1^2*y) - (t^4.476*y)/g1 - (t^7.186*y)/g1^13 - (t^7.283*y)/g1^9 + (t^7.379*y)/g1^5 - (t^7.428*y)/g1^3 + g1*t^7.524*y - g1^3*t^7.572*y + g1^7*t^7.669*y + g1^11*t^7.765*y + (2*t^8.518*y)/g1^20 + (t^8.614*y)/g1^16 + (t^8.662*y)/g1^14 + (t^8.711*y)/g1^12 + (2*t^8.759*y)/g1^10 + (4*t^8.807*y)/g1^8 + (4*t^8.904*y)/g1^4 + (t^8.952*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2499 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ | 0.695 | 0.8522 | 0.8155 | [M:[1.0423, 0.9365, 0.9577, 1.0212, 1.0, 0.9788, 1.0212], q:[0.5, 0.4577], qb:[0.5423, 0.5212], phi:[0.4947]] | t^2.809 + t^2.873 + t^2.968 + t^3. + 2*t^3.064 + t^3.127 + t^4.23 + t^4.357 + t^4.421 + 2*t^4.484 + t^4.548 + 2*t^4.611 + t^4.675 + t^4.738 + t^5.619 + t^5.682 + t^5.778 + t^5.841 + t^5.873 + 2*t^5.936 + t^5.968 - 2*t^6. - t^4.484/y - t^4.484*y | detail |