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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6088 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.618 | 0.7704 | 0.8023 | [X:[1.4375], M:[0.6875, 1.0625, 0.9375, 0.8125, 1.1875, 0.5625, 1.0, 1.0625], q:[0.7813, 0.5313], qb:[0.2813, 0.6563], phi:[0.4375]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 81009/131072, c: 100977/131072, X1: 23/16, M1: 11/16, M2: 17/16, M3: 15/16, M4: 13/16, M5: 19/16, M6: 9/16, M7: 1, M8: 17/16, q1: 25/32, q2: 17/32, qb1: 9/32, qb2: 21/32, phi1: 7/16} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$ | ${}$ | -1 | t^2.063 + t^2.438 + t^2.625 + t^3. + 2*t^3.188 + t^3.563 + t^3.75 + 2*t^4.125 + t^4.313 + 2*t^4.5 + t^4.688 + t^4.875 + 2*t^5.063 + 3*t^5.25 + t^5.438 + 3*t^5.625 + 2*t^5.813 - t^6. + 5*t^6.188 + 2*t^6.375 + t^6.563 + 3*t^6.75 + 2*t^6.938 + 3*t^7.125 + 4*t^7.313 + 3*t^7.5 + 4*t^7.688 + 3*t^7.875 + t^8.063 + 6*t^8.25 + 2*t^8.438 + t^8.625 + 5*t^8.813 - t^4.313/y - t^6.375/y - t^6.938/y + t^7.125/y + (2*t^7.688)/y + (2*t^8.063)/y + (3*t^8.25)/y + (4*t^8.625)/y + (3*t^8.813)/y - t^4.313*y - t^6.375*y - t^6.938*y + t^7.125*y + 2*t^7.688*y + 2*t^8.063*y + 3*t^8.25*y + 4*t^8.625*y + 3*t^8.813*y | t^2.063 + t^2.438 + t^2.625 + t^3. + 2*t^3.188 + t^3.563 + t^3.75 + 2*t^4.125 + t^4.313 + 2*t^4.5 + t^4.688 + t^4.875 + 2*t^5.063 + 3*t^5.25 + t^5.438 + 3*t^5.625 + 2*t^5.813 - t^6. + 5*t^6.188 + 2*t^6.375 + t^6.563 + 3*t^6.75 + 2*t^6.938 + 3*t^7.125 + 4*t^7.313 + 3*t^7.5 + 4*t^7.688 + 3*t^7.875 + t^8.063 + 6*t^8.25 + 2*t^8.438 + t^8.625 + 5*t^8.813 - t^4.313/y - t^6.375/y - t^6.938/y + t^7.125/y + (2*t^7.688)/y + (2*t^8.063)/y + (3*t^8.25)/y + (4*t^8.625)/y + (3*t^8.813)/y - t^4.313*y - t^6.375*y - t^6.938*y + t^7.125*y + 2*t^7.688*y + 2*t^8.063*y + 3*t^8.25*y + 4*t^8.625*y + 3*t^8.813*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4558 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ | 0.62 | 0.7726 | 0.8025 | [X:[1.4414], M:[0.7379, 1.0276, 0.9724, 0.7931, 1.2069, 0.5586, 1.0, 1.0276], q:[0.7483, 0.5138], qb:[0.2793, 0.6931], phi:[0.4414]] | t^2.214 + t^2.379 + t^2.648 + t^3. + 2*t^3.083 + t^3.621 + t^3.704 + t^4.241 + t^4.324 + 2*t^4.407 + t^4.427 + t^4.862 + t^4.945 + t^5.028 + t^5.111 + t^5.214 + t^5.296 + t^5.379 + t^5.462 + t^5.482 + 2*t^5.648 + 2*t^5.731 + t^5.814 - 2*t^6. - t^4.324/y - t^4.324*y | detail |