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 |
---|---|---|---|---|---|---|---|---|---|
45207 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}^{2}$ + ${ }\phi_{1}^{4}q_{2}$ | 1.7803 | 1.9053 | 0.9344 | [X:[], M:[0.9091, 0.9091], q:[0.3636, 0.5455], qb:[], phi:[0.3636]] | [X:[], M:[[0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 18957/10648, c: 2536/1331, M1: 10/11, M2: 10/11, q1: 4/11, q2: 6/11, phi1: 4/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}^{2}$, ${ }q_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}q_{1}^{2}$, ${ }M_{2}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }q_{1}^{3}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}$, ${ }q_{1}^{2}q_{2}^{2}$ | ${2}\phi_{1}^{3}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}^{3}q_{2}$ | 3 | 2*t^2.18 + 3*t^2.73 + 2*t^3.82 + 5*t^4.36 + 7*t^4.91 + 6*t^5.45 + 3*t^6. + 11*t^6.55 + 15*t^7.09 + 15*t^7.64 + 15*t^8.18 + 15*t^8.73 - t^4.09/y - t^5.18/y - t^5.73/y - (3*t^6.27)/y - (3*t^6.82)/y - t^7.36/y - (5*t^8.45)/y - t^4.09*y - t^5.18*y - t^5.73*y - 3*t^6.27*y - 3*t^6.82*y - t^7.36*y - 5*t^8.45*y | 2*t^2.18 + 3*t^2.73 + 2*t^3.82 + 5*t^4.36 + 7*t^4.91 + 6*t^5.45 + 3*t^6. + 11*t^6.55 + 15*t^7.09 + 15*t^7.64 + 15*t^8.18 + 15*t^8.73 - t^4.09/y - t^5.18/y - t^5.73/y - (3*t^6.27)/y - (3*t^6.82)/y - t^7.36/y - (5*t^8.45)/y - t^4.09*y - t^5.18*y - t^5.73*y - 3*t^6.27*y - 3*t^6.82*y - t^7.36*y - 5*t^8.45*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 |
---|---|---|---|---|---|---|---|---|
45379 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}^{2}$ + ${ }\phi_{1}^{4}q_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ | 1.8002 | 1.9422 | 0.9269 | [X:[], M:[0.9091, 0.9091, 0.7273], q:[0.3636, 0.5455], qb:[], phi:[0.3636]] | 3*t^2.18 + 3*t^2.73 + t^3.82 + 8*t^4.36 + 10*t^4.91 + 6*t^5.45 + 2*t^6. - t^4.09/y - t^5.18/y - t^5.73/y - t^4.09*y - t^5.18*y - t^5.73*y | detail | {a: 38337/21296, c: 20681/10648, M1: 10/11, M2: 10/11, M3: 8/11, q1: 4/11, q2: 6/11, phi1: 4/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
45092 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}^{2}$ | 1.7923 | 1.9121 | 0.9373 | [X:[], M:[0.8941, 0.8941], q:[0.4236, 0.5529], qb:[], phi:[0.3412]] | t^2.05 + t^2.54 + 2*t^2.68 + t^2.93 + t^3.71 + t^3.95 + 2*t^4.09 + 2*t^4.59 + 2*t^4.73 + 2*t^4.98 + t^5.08 + 2*t^5.22 + 4*t^5.36 + t^5.47 + t^5.61 + t^5.75 + t^5.86 - t^4.02/y - t^5.29/y - t^5.68/y - t^4.02*y - t^5.29*y - t^5.68*y | detail |