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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46584 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.4801 | 0.5664 | 0.8477 | [X:[1.4601], M:[0.9203, 1.0797, 0.6994, 0.8098], q:[0.4049, 0.6748], qb:[0.5154, 1.3252], phi:[0.2699]] | [X:[[4]], M:[[8], [-8], [-20], [-6]], q:[[-3], [-5]], qb:[[11], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.098 + t^2.429 + t^2.761 + t^3.239 + t^4.196 + t^4.38 + t^4.527 + 2*t^4.859 + t^5.19 + t^5.337 + t^5.522 - t^6. + t^6.294 - t^6.331 + t^6.478 + t^6.626 + 2*t^6.957 - t^7.141 + 2*t^7.288 + t^7.435 + 2*t^7.62 - t^8.098 + t^8.392 - 2*t^8.429 + t^8.577 + t^8.724 - 2*t^8.761 - 2*t^8.908 - t^8.908/y^2 - t^3.81/y - t^5.908/y - t^6.239/y + t^7.38/y + t^7.527/y + t^7.712/y + t^7.859/y - t^8.006/y + t^8.19/y - t^3.81*y - t^5.908*y - t^6.239*y + t^7.38*y + t^7.527*y + t^7.712*y + t^7.859*y - t^8.006*y + t^8.19*y - t^8.908*y^2 | t^2.098/g1^20 + t^2.429/g1^6 + g1^8*t^2.761 + t^3.239/g1^8 + t^4.196/g1^40 + g1^4*t^4.38 + t^4.527/g1^26 + (2*t^4.859)/g1^12 + g1^2*t^5.19 + t^5.337/g1^28 + g1^16*t^5.522 - t^6. + t^6.294/g1^60 - g1^14*t^6.331 + t^6.478/g1^16 + t^6.626/g1^46 + (2*t^6.957)/g1^32 - g1^12*t^7.141 + (2*t^7.288)/g1^18 + t^7.435/g1^48 + (2*t^7.62)/g1^4 - t^8.098/g1^20 + t^8.392/g1^80 - (2*t^8.429)/g1^6 + t^8.577/g1^36 + t^8.724/g1^66 - 2*g1^8*t^8.761 - (2*t^8.908)/g1^22 - t^8.908/(g1^22*y^2) - t^3.81/(g1^2*y) - t^5.908/(g1^22*y) - t^6.239/(g1^8*y) + (g1^4*t^7.38)/y + t^7.527/(g1^26*y) + (g1^18*t^7.712)/y + t^7.859/(g1^12*y) - t^8.006/(g1^42*y) + (g1^2*t^8.19)/y - (t^3.81*y)/g1^2 - (t^5.908*y)/g1^22 - (t^6.239*y)/g1^8 + g1^4*t^7.38*y + (t^7.527*y)/g1^26 + g1^18*t^7.712*y + (t^7.859*y)/g1^12 - (t^8.006*y)/g1^42 + g1^2*t^8.19*y - (t^8.908*y^2)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
46944 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ | 0.4135 | 0.4856 | 0.8515 | [X:[1.3846], M:[0.7692, 1.2308, 1.0769, 0.9231], q:[0.4615, 0.7692], qb:[0.3077, 1.2308], phi:[0.3077]] | t^2.308 + t^2.769 + t^3.231 + t^3.692 + t^4.154 + t^4.615 + t^5.077 + t^5.538 - t^3.923/y - t^3.923*y | detail | {a: 14535/35152, c: 8535/17576, X1: 18/13, M1: 10/13, M2: 16/13, M3: 14/13, M4: 12/13, q1: 6/13, q2: 10/13, qb1: 4/13, qb2: 16/13, phi1: 4/13} |
46818 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ | 0.4598 | 0.528 | 0.8708 | [X:[1.4541], M:[0.9082, 1.0918, 0.7294, 0.8188, 1.2706], q:[0.4094, 0.6823], qb:[0.4988, 1.3177], phi:[0.2729]] | t^2.456 + t^2.725 + t^3.275 + t^3.812 + t^4.362 + t^4.913 + t^5.181 + t^5.449 - t^6. - t^3.819/y - t^3.819*y | detail | |
47069 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ | 0.4365 | 0.5115 | 0.8534 | [X:[1.4], M:[0.8, 1.2, 1.0, 0.9], q:[0.45, 0.75], qb:[0.35, 1.25], phi:[0.3]] | t^2.4 + t^2.7 + t^3. + t^3.6 + t^4.2 + t^4.8 + t^5.1 + 2*t^5.4 - t^3.9/y - t^3.9*y | detail | {a: 873/2000, c: 1023/2000, X1: 7/5, M1: 4/5, M2: 6/5, M3: 1, M4: 9/10, q1: 9/20, q2: 3/4, qb1: 7/20, qb2: 5/4, phi1: 3/10} |
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 |
---|---|---|---|---|---|---|---|---|---|
46300 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4644 | 0.5384 | 0.8625 | [X:[1.4565], M:[0.913, 1.087, 0.7175], q:[0.4076, 0.6794], qb:[0.5054, 1.3206], phi:[0.2718]] | t^2.153 + t^2.739 + t^3.261 + t^3.554 + t^4.305 + t^4.369 + t^4.892 + t^5.414 + t^5.478 - t^6. - t^3.815/y - t^5.968/y - t^3.815*y - t^5.968*y | detail |