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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56211 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6891 | 0.8883 | 0.7758 | [M:[1.172, 0.828, 0.828, 0.7346, 0.6878, 0.7813, 0.7346], q:[0.3673, 0.4608], qb:[0.8047, 0.8047], phi:[0.3907]] | [M:[[-6], [6], [6], [-14], [-24], [-4], [-14]], q:[[-7], [13]], qb:[[1], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | -1 | t^2.064 + 2*t^2.204 + 2*t^2.344 + 2*t^2.484 + t^3.376 + t^3.516 + t^4.127 + 2*t^4.267 + 5*t^4.407 + 6*t^4.548 + 7*t^4.688 + 5*t^4.828 + 3*t^4.968 + t^5.439 + 3*t^5.579 + 3*t^5.72 + 2*t^5.86 - t^6. - 2*t^6.14 + t^6.191 - t^6.28 + 2*t^6.331 + 5*t^6.471 + 10*t^6.611 + 14*t^6.751 + 17*t^6.892 + 15*t^7.032 + 10*t^7.172 + 3*t^7.312 + t^7.452 + t^7.503 - t^7.593 + 3*t^7.643 + 6*t^7.783 + 7*t^7.923 + 4*t^8.064 - 3*t^8.204 + t^8.254 - 8*t^8.344 + 2*t^8.394 - 11*t^8.484 + 5*t^8.534 - 8*t^8.624 + 10*t^8.675 - 3*t^8.765 + 19*t^8.815 + 27*t^8.955 - t^4.172/y - t^6.235/y - (2*t^6.376)/y - (2*t^6.516)/y - t^6.656/y + (2*t^7.267)/y + (3*t^7.407)/y + (6*t^7.548)/y + (6*t^7.688)/y + (6*t^7.828)/y + (3*t^7.968)/y + t^8.108/y - t^8.299/y - t^8.439/y - (2*t^8.579)/y - t^8.72/y - t^8.86/y - t^4.172*y - t^6.235*y - 2*t^6.376*y - 2*t^6.516*y - t^6.656*y + 2*t^7.267*y + 3*t^7.407*y + 6*t^7.548*y + 6*t^7.688*y + 6*t^7.828*y + 3*t^7.968*y + t^8.108*y - t^8.299*y - t^8.439*y - 2*t^8.579*y - t^8.72*y - t^8.86*y | t^2.064/g1^24 + (2*t^2.204)/g1^14 + (2*t^2.344)/g1^4 + 2*g1^6*t^2.484 + t^3.376/g1^16 + t^3.516/g1^6 + t^4.127/g1^48 + (2*t^4.267)/g1^38 + (5*t^4.407)/g1^28 + (6*t^4.548)/g1^18 + (7*t^4.688)/g1^8 + 5*g1^2*t^4.828 + 3*g1^12*t^4.968 + t^5.439/g1^40 + (3*t^5.579)/g1^30 + (3*t^5.72)/g1^20 + (2*t^5.86)/g1^10 - t^6. - 2*g1^10*t^6.14 + t^6.191/g1^72 - g1^20*t^6.28 + (2*t^6.331)/g1^62 + (5*t^6.471)/g1^52 + (10*t^6.611)/g1^42 + (14*t^6.751)/g1^32 + (17*t^6.892)/g1^22 + (15*t^7.032)/g1^12 + (10*t^7.172)/g1^2 + 3*g1^8*t^7.312 + g1^18*t^7.452 + t^7.503/g1^64 - g1^28*t^7.593 + (3*t^7.643)/g1^54 + (6*t^7.783)/g1^44 + (7*t^7.923)/g1^34 + (4*t^8.064)/g1^24 - (3*t^8.204)/g1^14 + t^8.254/g1^96 - (8*t^8.344)/g1^4 + (2*t^8.394)/g1^86 - 11*g1^6*t^8.484 + (5*t^8.534)/g1^76 - 8*g1^16*t^8.624 + (10*t^8.675)/g1^66 - 3*g1^26*t^8.765 + (19*t^8.815)/g1^56 + (27*t^8.955)/g1^46 - t^4.172/(g1^2*y) - t^6.235/(g1^26*y) - (2*t^6.376)/(g1^16*y) - (2*t^6.516)/(g1^6*y) - (g1^4*t^6.656)/y + (2*t^7.267)/(g1^38*y) + (3*t^7.407)/(g1^28*y) + (6*t^7.548)/(g1^18*y) + (6*t^7.688)/(g1^8*y) + (6*g1^2*t^7.828)/y + (3*g1^12*t^7.968)/y + (g1^22*t^8.108)/y - t^8.299/(g1^50*y) - t^8.439/(g1^40*y) - (2*t^8.579)/(g1^30*y) - t^8.72/(g1^20*y) - t^8.86/(g1^10*y) - (t^4.172*y)/g1^2 - (t^6.235*y)/g1^26 - (2*t^6.376*y)/g1^16 - (2*t^6.516*y)/g1^6 - g1^4*t^6.656*y + (2*t^7.267*y)/g1^38 + (3*t^7.407*y)/g1^28 + (6*t^7.548*y)/g1^18 + (6*t^7.688*y)/g1^8 + 6*g1^2*t^7.828*y + 3*g1^12*t^7.968*y + g1^22*t^8.108*y - (t^8.299*y)/g1^50 - (t^8.439*y)/g1^40 - (2*t^8.579*y)/g1^30 - (t^8.72*y)/g1^20 - (t^8.86*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|---|
50966 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6696 | 0.8513 | 0.7866 | [M:[1.1754, 0.8246, 0.8246, 0.7427, 0.7018, 0.7836], q:[0.3714, 0.4532], qb:[0.8041, 0.8041], phi:[0.3918]] | t^2.105 + t^2.228 + 2*t^2.351 + 2*t^2.474 + t^3.404 + t^3.526 + t^3.772 + t^4.211 + t^4.333 + 3*t^4.456 + 4*t^4.579 + 5*t^4.702 + 5*t^4.825 + 3*t^4.947 + t^5.509 + 2*t^5.632 + 2*t^5.754 + 3*t^5.877 - t^4.175/y - t^4.175*y | detail |