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 |
---|---|---|---|---|---|---|---|---|---|
50992 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ | 0.6609 | 0.8054 | 0.8205 | [M:[0.9375, 1.0, 1.125, 0.75, 1.0625], q:[0.5938, 0.4688], qb:[0.4063, 0.7813], phi:[0.4375]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 86619/131072, c: 105563/131072, M1: 15/16, M2: 1, M3: 9/8, M4: 3/4, M5: 17/16, q1: 19/32, q2: 15/32, qb1: 13/32, qb2: 25/32, phi1: 7/16} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | 0 | t^2.25 + t^2.625 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.313 + 2*t^4.5 + 2*t^4.875 + 2*t^5.25 + t^5.625 + t^5.813 + t^6.188 + 3*t^6.375 + 2*t^6.563 + 4*t^6.75 + t^6.938 + 4*t^7.125 + 2*t^7.313 + 5*t^7.5 + 2*t^7.688 + 4*t^7.875 + 3*t^8.063 + 2*t^8.25 + 2*t^8.438 + 2*t^8.625 - t^4.313/y - t^6.563/y + t^7.875/y + t^8.063/y + t^8.25/y + t^8.438/y + (2*t^8.625)/y + t^8.813/y - t^4.313*y - t^6.563*y + t^7.875*y + t^8.063*y + t^8.25*y + t^8.438*y + 2*t^8.625*y + t^8.813*y | t^2.25 + t^2.625 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.313 + 2*t^4.5 + 2*t^4.875 + 2*t^5.25 + t^5.625 + t^5.813 + t^6.188 + 3*t^6.375 + 2*t^6.563 + 4*t^6.75 + t^6.938 + 4*t^7.125 + 2*t^7.313 + 5*t^7.5 + 2*t^7.688 + 4*t^7.875 + 3*t^8.063 + 2*t^8.25 + 2*t^8.438 + 2*t^8.625 - t^4.313/y - t^6.563/y + t^7.875/y + t^8.063/y + t^8.25/y + t^8.438/y + (2*t^8.625)/y + t^8.813/y - t^4.313*y - t^6.563*y + t^7.875*y + t^8.063*y + t^8.25*y + t^8.438*y + 2*t^8.625*y + 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 |
---|---|---|---|---|---|---|---|---|
56287 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ | 0.672 | 0.8244 | 0.8152 | [M:[0.9375, 1.0, 1.125, 0.75, 1.0625, 0.875], q:[0.5938, 0.4688], qb:[0.4063, 0.7813], phi:[0.4375]] | t^2.25 + 2*t^2.625 + t^3. + t^3.188 + t^3.563 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.313 + 2*t^4.5 + 3*t^4.875 + 4*t^5.25 + t^5.625 + 2*t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 88083/131072, c: 108051/131072, M1: 15/16, M2: 1, M3: 9/8, M4: 3/4, M5: 17/16, M6: 7/8, q1: 19/32, q2: 15/32, qb1: 13/32, qb2: 25/32, phi1: 7/16} |
56292 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6816 | 0.8456 | 0.806 | [M:[0.9375, 1.0, 1.125, 0.75, 1.0625, 0.6875], q:[0.5938, 0.4688], qb:[0.4063, 0.7813], phi:[0.4375]] | t^2.063 + t^2.25 + t^2.625 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.75 + 3*t^4.125 + 2*t^4.313 + 2*t^4.5 + t^4.688 + 2*t^4.875 + t^5.063 + 3*t^5.25 + t^5.438 + 2*t^5.625 + 2*t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 44667/65536, c: 55419/65536, M1: 15/16, M2: 1, M3: 9/8, M4: 3/4, M5: 17/16, M6: 11/16, q1: 19/32, q2: 15/32, qb1: 13/32, qb2: 25/32, phi1: 7/16} |
56290 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.6799 | 0.84 | 0.8093 | [M:[0.9375, 1.0, 1.125, 0.75, 1.0625, 0.75], q:[0.5938, 0.4688], qb:[0.4063, 0.7813], phi:[0.4375]] | 2*t^2.25 + t^2.625 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.938 + 2*t^4.125 + t^4.313 + 4*t^4.5 + 3*t^4.875 + 3*t^5.25 + t^5.438 + 2*t^5.625 + 2*t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 89115/131072, c: 110107/131072, M1: 15/16, M2: 1, M3: 9/8, M4: 3/4, M5: 17/16, M6: 3/4, q1: 19/32, q2: 15/32, qb1: 13/32, qb2: 25/32, phi1: 7/16} |
56289 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6766 | 0.8328 | 0.8124 | [M:[0.9375, 1.0, 1.125, 0.75, 1.0625, 0.8125], q:[0.5938, 0.4688], qb:[0.4063, 0.7813], phi:[0.4375]] | t^2.25 + t^2.438 + t^2.625 + t^3. + t^3.188 + t^3.375 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.313 + 2*t^4.5 + t^4.688 + 3*t^4.875 + t^5.063 + 2*t^5.25 + t^5.438 + 2*t^5.625 + t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 11085/16384, c: 13645/16384, M1: 15/16, M2: 1, M3: 9/8, M4: 3/4, M5: 17/16, M6: 13/16, q1: 19/32, q2: 15/32, qb1: 13/32, qb2: 25/32, phi1: 7/16} |
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 |
---|---|---|---|---|---|---|---|---|---|
48102 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6666 | 0.8151 | 0.8179 | [M:[0.9375, 1.0, 1.125, 0.75], q:[0.5938, 0.4688], qb:[0.4063, 0.7813], phi:[0.4375]] | t^2.25 + t^2.625 + t^2.813 + t^3. + t^3.375 + t^3.563 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.313 + 2*t^4.5 + 2*t^4.875 + t^5.063 + 2*t^5.25 + 2*t^5.625 + t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 43689/65536, c: 53417/65536, M1: 15/16, M2: 1, M3: 9/8, M4: 3/4, q1: 19/32, q2: 15/32, qb1: 13/32, qb2: 25/32, phi1: 7/16} |