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 |
---|---|---|---|---|---|---|---|---|---|
46379 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.6302 | 0.8243 | 0.7645 | [M:[0.9474, 0.8421, 0.7368], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | [M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 69159/109744, c: 45229/54872, M1: 18/19, M2: 16/19, M3: 14/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 2 | 3*t^2.211 + 2*t^2.526 + t^2.842 + t^3.158 + 2*t^3.474 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 6*t^4.737 + 6*t^5.053 + 5*t^5.368 + 6*t^5.684 + 2*t^6. + 8*t^6.316 + 15*t^6.632 + 12*t^6.947 + 13*t^7.263 + 13*t^7.579 + 12*t^7.895 + 7*t^8.211 + 9*t^8.526 + 20*t^8.842 - t^4.579/y - t^6.789/y - t^7.105/y + (3*t^7.421)/y + (6*t^7.737)/y + (5*t^8.053)/y + (6*t^8.368)/y + (8*t^8.684)/y - t^4.579*y - t^6.789*y - t^7.105*y + 3*t^7.421*y + 6*t^7.737*y + 5*t^8.053*y + 6*t^8.368*y + 8*t^8.684*y | 3*t^2.211 + 2*t^2.526 + t^2.842 + t^3.158 + 2*t^3.474 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 6*t^4.737 + 6*t^5.053 + 5*t^5.368 + 6*t^5.684 + 2*t^6. + 8*t^6.316 + 15*t^6.632 + 12*t^6.947 + 13*t^7.263 + 13*t^7.579 + 12*t^7.895 + 7*t^8.211 + 9*t^8.526 + 20*t^8.842 - t^4.579/y - t^6.789/y - t^7.105/y + (3*t^7.421)/y + (6*t^7.737)/y + (5*t^8.053)/y + (6*t^8.368)/y + (8*t^8.684)/y - t^4.579*y - t^6.789*y - t^7.105*y + 3*t^7.421*y + 6*t^7.737*y + 5*t^8.053*y + 6*t^8.368*y + 8*t^8.684*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 |
---|---|---|---|---|---|---|---|---|
47260 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6497 | 0.8603 | 0.7553 | [M:[0.9474, 0.8421, 0.7368, 0.7368], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 4*t^2.211 + 2*t^2.526 + t^2.842 + t^3.158 + 2*t^3.474 + 3*t^4.105 + 10*t^4.421 + 8*t^4.737 + 7*t^5.053 + 6*t^5.368 + 8*t^5.684 - t^6. - t^4.579/y - t^4.579*y | detail | {a: 8913/13718, c: 11801/13718, M1: 18/19, M2: 16/19, M3: 14/19, M4: 14/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
46290 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6305 | 0.8262 | 0.7631 | [M:[0.9451, 0.8352, 0.7254], q:[0.7363, 0.3187], qb:[0.4285, 0.4067], phi:[0.5275]] | 2*t^2.176 + t^2.241 + 2*t^2.506 + t^2.835 + t^3.165 + t^3.429 + t^3.494 + t^3.759 + t^4.023 + t^4.088 + t^4.153 + 3*t^4.352 + 2*t^4.418 + t^4.483 + 4*t^4.682 + 2*t^4.747 + 5*t^5.011 + t^5.077 + 4*t^5.341 + t^5.406 + 2*t^5.605 + 4*t^5.67 + 3*t^5.935 - t^4.582/y - t^4.582*y | detail |