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 |
---|---|---|---|---|---|---|---|---|---|
893 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.6935 | 0.8487 | 0.8171 | [M:[1.0319, 0.9469, 0.9681, 1.0106, 1.0319], q:[0.4947, 0.4734], qb:[0.5372, 0.5159], phi:[0.4947]] | [M:[[6], [-10], [-6], [2], [6]], q:[[-1], [-5]], qb:[[7], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$ | ${}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | -1 | t^2.841 + t^2.968 + 3*t^3.032 + 2*t^3.096 + t^4.325 + t^4.388 + 2*t^4.452 + 2*t^4.516 + 2*t^4.58 + t^4.643 + t^4.707 + t^5.681 + t^5.872 - t^6. + 4*t^6.064 + 4*t^6.128 + 2*t^6.191 + t^7.165 + t^7.229 + 2*t^7.293 + 2*t^7.357 + 3*t^7.42 + 3*t^7.484 + 5*t^7.548 + 4*t^7.612 + 4*t^7.675 + 3*t^7.739 + 2*t^7.803 + t^8.522 + t^8.649 + 2*t^8.713 + 2*t^8.777 - t^8.841 + t^8.904 - 2*t^8.968 - t^4.484/y - t^7.325/y + t^7.388/y - t^7.58/y + t^7.643/y + t^8.809/y + (3*t^8.872)/y + (2*t^8.936)/y - t^4.484*y - t^7.325*y + t^7.388*y - t^7.58*y + t^7.643*y + t^8.809*y + 3*t^8.872*y + 2*t^8.936*y | t^2.841/g1^10 + t^2.968/g1^2 + 3*g1^2*t^3.032 + 2*g1^6*t^3.096 + t^4.325/g1^11 + t^4.388/g1^7 + (2*t^4.452)/g1^3 + 2*g1*t^4.516 + 2*g1^5*t^4.58 + g1^9*t^4.643 + g1^13*t^4.707 + t^5.681/g1^20 + t^5.872/g1^8 - t^6. + 4*g1^4*t^6.064 + 4*g1^8*t^6.128 + 2*g1^12*t^6.191 + t^7.165/g1^21 + t^7.229/g1^17 + (2*t^7.293)/g1^13 + (2*t^7.357)/g1^9 + (3*t^7.42)/g1^5 + (3*t^7.484)/g1 + 5*g1^3*t^7.548 + 4*g1^7*t^7.612 + 4*g1^11*t^7.675 + 3*g1^15*t^7.739 + 2*g1^19*t^7.803 + t^8.522/g1^30 + t^8.649/g1^22 + (2*t^8.713)/g1^18 + (2*t^8.777)/g1^14 - t^8.841/g1^10 + t^8.904/g1^6 - (2*t^8.968)/g1^2 - t^4.484/(g1*y) - t^7.325/(g1^11*y) + t^7.388/(g1^7*y) - (g1^5*t^7.58)/y + (g1^9*t^7.643)/y + t^8.809/(g1^12*y) + (3*t^8.872)/(g1^8*y) + (2*t^8.936)/(g1^4*y) - (t^4.484*y)/g1 - (t^7.325*y)/g1^11 + (t^7.388*y)/g1^7 - g1^5*t^7.58*y + g1^9*t^7.643*y + (t^8.809*y)/g1^12 + (3*t^8.872*y)/g1^8 + (2*t^8.936*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 |
---|---|---|---|---|---|---|---|---|
1378 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6915 | 0.8487 | 0.8148 | [M:[0.9932, 1.0113, 1.0068, 0.9977, 0.9932, 0.9887], q:[0.5011, 0.5057], qb:[0.4921, 0.4966], phi:[0.5011]] | t^2.966 + 2*t^2.98 + 3*t^2.993 + t^3.007 + t^4.456 + t^4.469 + 2*t^4.483 + 2*t^4.497 + 2*t^4.51 + t^4.524 + t^4.537 + t^5.932 + 2*t^5.946 + 5*t^5.959 + 5*t^5.973 + 4*t^5.986 - t^6. - t^4.503/y - t^4.503*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 |
---|---|---|---|---|---|---|---|---|---|
579 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7283 | 0.8957 | 0.8131 | [M:[0.9749, 0.82, 1.0251, 0.7699, 0.9749], q:[0.4487, 0.5763], qb:[0.5262, 0.6538], phi:[0.4487]] | t^2.31 + t^2.46 + t^2.692 + 2*t^2.925 + 2*t^3.308 + t^4.039 + t^4.271 + t^4.421 + t^4.503 + t^4.62 + 2*t^4.654 + t^4.77 + t^4.804 + t^4.886 + t^4.92 + t^5.002 + t^5.036 + t^5.153 + 2*t^5.235 + t^5.269 + 2*t^5.385 + 2*t^5.617 + 2*t^5.85 - 2*t^6. - t^4.346/y - t^4.346*y | detail |