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 |
---|---|---|---|---|---|---|---|---|---|
56778 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}^{2}$ | 0.5877 | 0.7468 | 0.787 | [M:[1.2727, 0.8182, 0.7273, 1.0, 1.0909, 0.8182], q:[0.5, 0.2273], qb:[0.6818, 0.7727], phi:[0.4545]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3129/5324, c: 994/1331, M1: 14/11, M2: 9/11, M3: 8/11, M4: 1, M5: 12/11, M6: 9/11, q1: 1/2, q2: 5/22, qb1: 15/22, qb2: 17/22, phi1: 5/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{5}\phi_{1}q_{2}^{2}$ | -1 | t^2.182 + 2*t^2.455 + 2*t^2.727 + t^3. + t^3.273 + t^3.818 + t^4.091 + 3*t^4.364 + t^4.636 + 6*t^4.909 + 4*t^5.182 + 6*t^5.455 + 3*t^5.727 - t^6. + 2*t^6.273 + 3*t^6.545 + 4*t^6.818 + 6*t^7.091 + 6*t^7.364 + 9*t^7.636 + 9*t^7.909 + 9*t^8.182 - 2*t^8.455 - t^4.364/y - (2*t^6.818)/y + (2*t^7.636)/y + (5*t^7.909)/y + (5*t^8.182)/y + (4*t^8.455)/y + (4*t^8.727)/y - t^4.364*y - 2*t^6.818*y + 2*t^7.636*y + 5*t^7.909*y + 5*t^8.182*y + 4*t^8.455*y + 4*t^8.727*y | t^2.182 + 2*t^2.455 + 2*t^2.727 + t^3. + t^3.273 + t^3.818 + t^4.091 + 3*t^4.364 + t^4.636 + 6*t^4.909 + 4*t^5.182 + 6*t^5.455 + 3*t^5.727 - t^6. + 2*t^6.273 + 3*t^6.545 + 4*t^6.818 + 6*t^7.091 + 6*t^7.364 + 9*t^7.636 + 9*t^7.909 + 9*t^8.182 - 2*t^8.455 - t^4.364/y - (2*t^6.818)/y + (2*t^7.636)/y + (5*t^7.909)/y + (5*t^8.182)/y + (4*t^8.455)/y + (4*t^8.727)/y - t^4.364*y - 2*t^6.818*y + 2*t^7.636*y + 5*t^7.909*y + 5*t^8.182*y + 4*t^8.455*y + 4*t^8.727*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 |
---|---|---|---|---|---|---|---|---|
58646 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.5794 | 0.7328 | 0.7907 | [M:[1.2727, 0.8182, 0.7273, 1.0, 1.0909, 0.8182, 1.0909], q:[0.5, 0.2273], qb:[0.6818, 0.7727], phi:[0.4545]] | t^2.182 + 2*t^2.455 + t^2.727 + t^3. + 2*t^3.273 + t^3.818 + t^4.091 + 3*t^4.364 + t^4.636 + 5*t^4.909 + 2*t^5.182 + 5*t^5.455 + 4*t^5.727 - t^6. - t^4.364/y - t^4.364*y | detail | {a: 12339/21296, c: 7803/10648, M1: 14/11, M2: 9/11, M3: 8/11, M4: 1, M5: 12/11, M6: 9/11, M7: 12/11, q1: 1/2, q2: 5/22, qb1: 15/22, qb2: 17/22, phi1: 5/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
55099 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6693 | 0.8394 | 0.7974 | [M:[1.167, 1.0824, 0.833, 0.8062, 1.0557, 0.6949], q:[0.4031, 0.4299], qb:[0.5145, 0.7639], phi:[0.4722]] | t^2.085 + t^2.419 + t^2.499 + t^2.833 + t^3.167 + t^3.247 + t^3.501 + 2*t^3.835 + t^3.996 + 2*t^4.169 + t^4.249 + 2*t^4.503 + t^4.584 + t^4.837 + 2*t^4.918 + t^4.998 + 2*t^5.252 + 2*t^5.332 + 2*t^5.586 + 2*t^5.666 + 2*t^5.92 - t^6. - t^4.416/y - t^4.416*y | detail |