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 |
---|---|---|---|---|---|---|---|---|---|
4686 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.5839 | 0.743 | 0.7859 | [M:[0.8182, 1.0, 1.0909, 0.7273, 1.2727, 0.7273, 1.0909], q:[0.6818, 0.5], qb:[0.2273, 0.7727], phi:[0.4545]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 12435/21296, c: 15823/21296, M1: 9/11, M2: 1, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 12/11, q1: 15/22, q2: 1/2, qb1: 5/22, qb2: 17/22, phi1: 5/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | -1 | 2*t^2.182 + t^2.455 + t^2.727 + t^3. + 2*t^3.273 + t^3.545 + t^4.091 + 5*t^4.364 + t^4.636 + 4*t^4.909 + 2*t^5.182 + 6*t^5.455 + 4*t^5.727 - t^6. + 3*t^6.273 + 8*t^6.545 + 2*t^6.818 + 6*t^7.091 + 3*t^7.364 + 10*t^7.636 + 7*t^7.909 + 4*t^8.455 + 9*t^8.727 - t^4.364/y - t^6.545/y - t^6.818/y + t^7.091/y + t^7.364/y + t^7.636/y + (3*t^7.909)/y + (4*t^8.182)/y + (5*t^8.455)/y + (4*t^8.727)/y - t^4.364*y - t^6.545*y - t^6.818*y + t^7.091*y + t^7.364*y + t^7.636*y + 3*t^7.909*y + 4*t^8.182*y + 5*t^8.455*y + 4*t^8.727*y | 2*t^2.182 + t^2.455 + t^2.727 + t^3. + 2*t^3.273 + t^3.545 + t^4.091 + 5*t^4.364 + t^4.636 + 4*t^4.909 + 2*t^5.182 + 6*t^5.455 + 4*t^5.727 - t^6. + 3*t^6.273 + 8*t^6.545 + 2*t^6.818 + 6*t^7.091 + 3*t^7.364 + 10*t^7.636 + 7*t^7.909 + 4*t^8.455 + 9*t^8.727 - t^4.364/y - t^6.545/y - t^6.818/y + t^7.091/y + t^7.364/y + t^7.636/y + (3*t^7.909)/y + (4*t^8.182)/y + (5*t^8.455)/y + (4*t^8.727)/y - t^4.364*y - t^6.545*y - t^6.818*y + t^7.091*y + t^7.364*y + t^7.636*y + 3*t^7.909*y + 4*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 |
---|---|---|---|---|---|---|---|---|
6261 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.5993 | 0.7697 | 0.7786 | [M:[0.8182, 1.0, 1.0909, 0.7273, 1.2727, 0.7273, 1.0909, 0.8182], q:[0.6818, 0.5], qb:[0.2273, 0.7727], phi:[0.4545]] | 2*t^2.182 + 2*t^2.455 + t^2.727 + t^3. + 2*t^3.273 + t^4.091 + 5*t^4.364 + 3*t^4.636 + 6*t^4.909 + 3*t^5.182 + 7*t^5.455 + 4*t^5.727 - 2*t^6. - t^4.364/y - t^4.364*y | detail | {a: 6381/10648, c: 2049/2662, M1: 9/11, M2: 1, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 12/11, M8: 9/11, q1: 15/22, q2: 1/2, qb1: 5/22, qb2: 17/22, phi1: 5/11} |
6258 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5756 | 0.729 | 0.7896 | [M:[0.8182, 1.0, 1.0909, 0.7273, 1.2727, 0.7273, 1.0909, 1.0909], q:[0.6818, 0.5], qb:[0.2273, 0.7727], phi:[0.4545]] | 2*t^2.182 + t^2.455 + t^3. + 3*t^3.273 + t^3.545 + t^4.091 + 5*t^4.364 + t^4.636 + 2*t^4.909 + t^5.182 + 7*t^5.455 + 4*t^5.727 - 3*t^6. - t^4.364/y - t^4.364*y | detail | {a: 6129/10648, c: 15525/21296, M1: 9/11, M2: 1, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 12/11, M8: 12/11, q1: 15/22, q2: 1/2, qb1: 5/22, 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 |
---|---|---|---|---|---|---|---|---|---|
2601 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{6}$ | 0.5922 | 0.757 | 0.7823 | [M:[0.8182, 1.0, 1.0909, 0.7273, 1.2727, 0.7273], q:[0.6818, 0.5], qb:[0.2273, 0.7727], phi:[0.4545]] | 2*t^2.182 + t^2.455 + 2*t^2.727 + t^3. + t^3.273 + t^3.545 + t^4.091 + 5*t^4.364 + t^4.636 + 6*t^4.909 + 3*t^5.182 + 6*t^5.455 + 4*t^5.727 - t^6. - t^4.364/y - t^4.364*y | detail | {a: 3153/5324, c: 16121/21296, M1: 9/11, M2: 1, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, q1: 15/22, q2: 1/2, qb1: 5/22, qb2: 17/22, phi1: 5/11} |