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 |
---|---|---|---|---|---|---|---|---|---|
46715 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{3}$ | 0.535 | 0.6373 | 0.8395 | [X:[1.2727], M:[0.9091, 0.9091, 1.0909], q:[0.2727, 0.8182], qb:[0.8182, 0.6364], phi:[0.3636]] | [X:[[0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 5697/10648, c: 3393/5324, X1: 14/11, M1: 10/11, M2: 10/11, M3: 12/11, q1: 3/11, q2: 9/11, qb1: 9/11, qb2: 7/11, phi1: 4/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | -1 | 3*t^2.727 + t^3.273 + 2*t^3.818 + 2*t^4.364 + t^4.909 + 4*t^5.455 - t^6. + 2*t^6.545 + 3*t^7.091 + 2*t^7.636 + 6*t^8.182 - 2*t^8.727 - t^4.091/y - t^6.818/y + t^7.364/y + (3*t^8.455)/y - t^4.091*y - t^6.818*y + t^7.364*y + 3*t^8.455*y | 3*t^2.727 + t^3.273 + 2*t^3.818 + 2*t^4.364 + t^4.909 + 4*t^5.455 - t^6. + 2*t^6.545 + 3*t^7.091 + 2*t^7.636 + 6*t^8.182 - 2*t^8.727 - t^4.091/y - t^6.818/y + t^7.364/y + (3*t^8.455)/y - t^4.091*y - t^6.818*y + t^7.364*y + 3*t^8.455*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 |
---|---|---|---|---|---|---|---|---|
47118 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{4}$ | 0.5433 | 0.6513 | 0.8342 | [X:[1.2727], M:[0.9091, 0.9091, 1.0909, 0.9091], q:[0.2727, 0.8182], qb:[0.8182, 0.6364], phi:[0.3636]] | 4*t^2.727 + 2*t^3.818 + 2*t^4.364 + t^4.909 + 8*t^5.455 - 4*t^6. - t^4.091/y - t^4.091*y | detail | {a: 11571/21296, c: 6935/10648, X1: 14/11, M1: 10/11, M2: 10/11, M3: 12/11, M4: 10/11, q1: 3/11, q2: 9/11, qb1: 9/11, qb2: 7/11, 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 |
---|---|---|---|---|---|---|---|---|---|
46219 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}M_{3}$ | 0.5465 | 0.65 | 0.8409 | [X:[1.31], M:[0.965, 0.76, 1.035], q:[0.31, 0.725], qb:[0.93, 0.655], phi:[0.345]] | t^2.28 + 2*t^2.895 + t^3.105 + 2*t^3.93 + t^4.14 + t^4.56 + t^4.755 + t^4.965 + t^5.175 + t^5.385 + 2*t^5.79 - 2*t^6. - t^4.035/y - t^4.035*y | detail |