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 |
---|---|---|---|---|---|---|---|---|---|
46253 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.5343 | 0.6814 | 0.7842 | [M:[1.0588, 0.9412], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | [M:[[0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2625/4913, c: 6695/9826, M1: 18/17, M2: 16/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.118 + 2*t^2.471 + 2*t^2.824 + 2*t^3.529 + 2*t^3.882 + 2*t^4.235 + 2*t^4.588 + 5*t^4.941 + 5*t^5.294 + 2*t^5.647 + t^6. + 5*t^6.353 + 4*t^6.706 + 4*t^7.059 + 6*t^7.412 + 9*t^7.765 + 5*t^8.118 + 2*t^8.824 - t^4.412/y - t^7.235/y + (3*t^7.588)/y + (3*t^7.941)/y + (4*t^8.294)/y + (3*t^8.647)/y - t^4.412*y - t^7.235*y + 3*t^7.588*y + 3*t^7.941*y + 4*t^8.294*y + 3*t^8.647*y | t^2.118 + 2*t^2.471 + 2*t^2.824 + 2*t^3.529 + 2*t^3.882 + 2*t^4.235 + 2*t^4.588 + 5*t^4.941 + 5*t^5.294 + 2*t^5.647 + t^6. + 5*t^6.353 + 4*t^6.706 + 4*t^7.059 + 6*t^7.412 + 9*t^7.765 + 5*t^8.118 + 2*t^8.824 - t^4.412/y - t^7.235/y + (3*t^7.588)/y + (3*t^7.941)/y + (4*t^8.294)/y + (3*t^8.647)/y - t^4.412*y - t^7.235*y + 3*t^7.588*y + 3*t^7.941*y + 4*t^8.294*y + 3*t^8.647*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 |
---|---|---|---|---|---|---|---|---|
46741 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.5547 | 0.7202 | 0.7703 | [M:[1.0588, 0.9412, 0.7059], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | 2*t^2.118 + 2*t^2.471 + 2*t^2.824 + 2*t^3.529 + t^3.882 + 4*t^4.235 + 4*t^4.588 + 7*t^4.941 + 5*t^5.294 + 4*t^5.647 + t^6. - t^4.412/y - t^4.412*y | detail | {a: 2565/4624, c: 1665/2312, M1: 18/17, M2: 16/17, M3: 12/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
46017 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.5921 | 0.7527 | 0.7867 | [M:[0.9726, 1.0274], q:[0.7431, 0.2843], qb:[0.4863, 0.4314], phi:[0.5137]] | t^2.147 + t^2.312 + t^2.753 + 2*t^3.082 + t^3.247 + t^3.524 + 2*t^3.688 + t^3.853 + t^4.13 + 2*t^4.294 + 2*t^4.459 + t^4.623 + t^4.9 + t^5.065 + 2*t^5.229 + 2*t^5.394 + t^5.506 + t^5.671 + 3*t^5.835 - t^4.541/y - t^4.541*y | detail |