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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6079 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ + ${ }M_{1}M_{3}$ | 0.61 | 0.7747 | 0.7873 | [X:[1.4545], M:[0.9091, 0.9091, 1.0909, 0.7273, 1.2727, 0.5455, 1.0, 0.7273], q:[0.6364, 0.4545], qb:[0.2727, 0.8182], phi:[0.4545]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 6495/10648, c: 16499/21296, X1: 16/11, M1: 10/11, M2: 10/11, M3: 12/11, M4: 8/11, M5: 14/11, M6: 6/11, M7: 1, M8: 8/11, q1: 7/11, q2: 5/11, qb1: 3/11, qb2: 9/11, phi1: 5/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{2}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}^{2}$ | 0 | 2*t^2.182 + 3*t^2.727 + t^3. + t^3.273 + t^3.545 + 2*t^4.091 + 3*t^4.364 + 2*t^4.636 + 4*t^4.909 + 4*t^5.182 + 5*t^5.455 + 5*t^5.727 + 5*t^6.273 + 2*t^6.545 + 5*t^6.818 + 6*t^7.091 + 7*t^7.364 + 7*t^7.636 + 8*t^7.909 + 6*t^8.182 + 7*t^8.455 + 2*t^8.727 - t^4.364/y - t^6.545/y - (2*t^7.091)/y + t^7.364/y + (2*t^7.636)/y + (6*t^7.909)/y + (3*t^8.182)/y + (5*t^8.455)/y + (4*t^8.727)/y - t^4.364*y - t^6.545*y - 2*t^7.091*y + t^7.364*y + 2*t^7.636*y + 6*t^7.909*y + 3*t^8.182*y + 5*t^8.455*y + 4*t^8.727*y | 2*t^2.182 + 3*t^2.727 + t^3. + t^3.273 + t^3.545 + 2*t^4.091 + 3*t^4.364 + 2*t^4.636 + 4*t^4.909 + 4*t^5.182 + 5*t^5.455 + 5*t^5.727 + 5*t^6.273 + 2*t^6.545 + 5*t^6.818 + 6*t^7.091 + 7*t^7.364 + 7*t^7.636 + 8*t^7.909 + 6*t^8.182 + 7*t^8.455 + 2*t^8.727 - t^4.364/y - t^6.545/y - (2*t^7.091)/y + t^7.364/y + (2*t^7.636)/y + (6*t^7.909)/y + (3*t^8.182)/y + (5*t^8.455)/y + (4*t^8.727)/y - t^4.364*y - t^6.545*y - 2*t^7.091*y + t^7.364*y + 2*t^7.636*y + 6*t^7.909*y + 3*t^8.182*y + 5*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4556 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ | 0.6401 | 0.8077 | 0.7925 | [X:[1.4394], M:[0.7123, 1.0454, 0.9546, 0.803, 1.197, 0.5606, 1.0, 0.803], q:[0.7651, 0.5227], qb:[0.2803, 0.6743], phi:[0.4394]] | t^2.137 + 2*t^2.409 + t^2.636 + t^2.864 + t^3. + t^3.136 + t^3.727 + t^4.182 + t^4.274 + t^4.318 + 2*t^4.454 + t^4.546 + t^4.773 + 2*t^4.818 + t^4.909 + t^5.001 + 2*t^5.045 + t^5.137 + t^5.181 + 2*t^5.273 + t^5.364 + 2*t^5.409 + t^5.5 + t^5.545 + 2*t^5.636 + t^5.773 + t^5.864 + t^5.909 - 2*t^6. - t^4.318/y - t^4.318*y | detail |