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 |
---|---|---|---|---|---|---|---|---|---|
51268 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6775 | 0.8668 | 0.7816 | [M:[0.7647, 1.147, 0.853, 0.6764, 0.6764, 0.7647], q:[0.853, 0.3823], qb:[0.4706, 0.7647], phi:[0.3823]] | [M:[[2], [3], [-3], [7], [7], [2]], q:[[-3], [1]], qb:[[-4], [2]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0 | 2*t^2.029 + 3*t^2.294 + t^2.559 + 2*t^3.441 + t^3.706 + 3*t^4.059 + 6*t^4.323 + 8*t^4.588 + 4*t^4.853 + t^5.118 + 4*t^5.47 + 6*t^5.735 + 4*t^6.088 - t^6.265 + 9*t^6.353 + 15*t^6.617 + 19*t^6.882 + 7*t^7.147 - 2*t^7.412 + 6*t^7.5 - t^7.677 + 11*t^7.764 + 6*t^8.029 + 5*t^8.117 - 6*t^8.294 + 12*t^8.382 - 9*t^8.559 + 22*t^8.647 - 3*t^8.824 + 34*t^8.912 - t^4.147/y - (2*t^6.176)/y - (3*t^6.441)/y + t^7.059/y + (6*t^7.323)/y + (5*t^7.588)/y + (6*t^7.853)/y + (2*t^8.118)/y - (3*t^8.206)/y - (2*t^8.47)/y + (2*t^8.735)/y - t^4.147*y - 2*t^6.176*y - 3*t^6.441*y + t^7.059*y + 6*t^7.323*y + 5*t^7.588*y + 6*t^7.853*y + 2*t^8.118*y - 3*t^8.206*y - 2*t^8.47*y + 2*t^8.735*y | 2*g1^7*t^2.029 + 3*g1^2*t^2.294 + t^2.559/g1^3 + 2*g1^3*t^3.441 + t^3.706/g1^2 + 3*g1^14*t^4.059 + 6*g1^9*t^4.323 + 8*g1^4*t^4.588 + (4*t^4.853)/g1 + t^5.118/g1^6 + 4*g1^10*t^5.47 + 6*g1^5*t^5.735 + 4*g1^21*t^6.088 - t^6.265/g1^5 + 9*g1^16*t^6.353 + 15*g1^11*t^6.617 + 19*g1^6*t^6.882 + 7*g1*t^7.147 - (2*t^7.412)/g1^4 + 6*g1^17*t^7.5 - t^7.677/g1^9 + 11*g1^12*t^7.764 + 6*g1^7*t^8.029 + 5*g1^28*t^8.117 - 6*g1^2*t^8.294 + 12*g1^23*t^8.382 - (9*t^8.559)/g1^3 + 22*g1^18*t^8.647 - (3*t^8.824)/g1^8 + 34*g1^13*t^8.912 - (g1*t^4.147)/y - (2*g1^8*t^6.176)/y - (3*g1^3*t^6.441)/y + (g1^14*t^7.059)/y + (6*g1^9*t^7.323)/y + (5*g1^4*t^7.588)/y + (6*t^7.853)/(g1*y) + (2*t^8.118)/(g1^6*y) - (3*g1^15*t^8.206)/y - (2*g1^10*t^8.47)/y + (2*g1^5*t^8.735)/y - g1*t^4.147*y - 2*g1^8*t^6.176*y - 3*g1^3*t^6.441*y + g1^14*t^7.059*y + 6*g1^9*t^7.323*y + 5*g1^4*t^7.588*y + (6*t^7.853*y)/g1 + (2*t^8.118*y)/g1^6 - 3*g1^15*t^8.206*y - 2*g1^10*t^8.47*y + 2*g1^5*t^8.735*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 |
---|---|---|---|---|---|---|---|---|
56233 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6906 | 0.8877 | 0.778 | [M:[0.7693, 1.1539, 0.8461, 0.6924, 0.6924, 0.7693, 0.8461], q:[0.8461, 0.3846], qb:[0.4615, 0.7693], phi:[0.3846]] | 2*t^2.077 + 3*t^2.308 + 2*t^2.538 + t^3.462 + t^3.692 + 3*t^4.154 + 6*t^4.385 + 10*t^4.616 + 7*t^4.846 + 3*t^5.077 + 2*t^5.539 + 3*t^5.769 - t^4.154/y - t^4.154*y | detail | |
56235 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6959 | 0.9008 | 0.7725 | [M:[0.7628, 1.1442, 0.8558, 0.6699, 0.6699, 0.7628, 0.7628], q:[0.8558, 0.3814], qb:[0.4744, 0.7628], phi:[0.3814]] | 2*t^2.01 + 4*t^2.288 + t^2.567 + 2*t^3.433 + 3*t^4.019 + 8*t^4.298 + 12*t^4.577 + 5*t^4.856 + t^5.135 + 4*t^5.442 + 6*t^5.721 - 3*t^6. - t^4.144/y - t^4.144*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 |
---|---|---|---|---|---|---|---|---|---|
48240 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6591 | 0.8331 | 0.7912 | [M:[0.7667, 1.15, 0.85, 0.6833, 0.6833], q:[0.85, 0.3833], qb:[0.4667, 0.7667], phi:[0.3833]] | 2*t^2.05 + 2*t^2.3 + t^2.55 + 2*t^3.45 + 2*t^3.7 + 3*t^4.1 + 4*t^4.35 + 5*t^4.6 + 3*t^4.85 + t^5.1 + 4*t^5.5 + 6*t^5.75 + t^6. - t^4.15/y - t^4.15*y | detail |