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 |
---|---|---|---|---|---|---|---|---|---|
4309 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6473 | 0.8156 | 0.7937 | [M:[0.9231, 0.7692, 1.0769, 1.2308, 0.9231, 0.9231, 0.7692], q:[0.7692, 0.3077], qb:[0.4615, 0.6154], phi:[0.4615]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 22755/35152, c: 14335/17576, M1: 12/13, M2: 10/13, M3: 14/13, M4: 16/13, M5: 12/13, M6: 12/13, M7: 10/13, q1: 10/13, q2: 4/13, qb1: 6/13, qb2: 8/13, phi1: 6/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 2 | 2*t^2.308 + 4*t^2.769 + t^3.231 + t^3.692 + 3*t^4.154 + 4*t^4.615 + 8*t^5.077 + 10*t^5.538 + 2*t^6. + 3*t^6.462 + 11*t^6.923 + 11*t^7.385 + 16*t^7.846 + 16*t^8.308 - 2*t^8.769 - t^4.385/y - t^6.692/y - (3*t^7.154)/y + (4*t^7.615)/y + (9*t^8.077)/y + (8*t^8.538)/y - t^4.385*y - t^6.692*y - 3*t^7.154*y + 4*t^7.615*y + 9*t^8.077*y + 8*t^8.538*y | 2*t^2.308 + 4*t^2.769 + t^3.231 + t^3.692 + 3*t^4.154 + 4*t^4.615 + 8*t^5.077 + 10*t^5.538 + 2*t^6. + 3*t^6.462 + 11*t^6.923 + 11*t^7.385 + 16*t^7.846 + 16*t^8.308 - 2*t^8.769 - t^4.385/y - t^6.692/y - (3*t^7.154)/y + (4*t^7.615)/y + (9*t^8.077)/y + (8*t^8.538)/y - t^4.385*y - t^6.692*y - 3*t^7.154*y + 4*t^7.615*y + 9*t^8.077*y + 8*t^8.538*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 |
---|---|---|---|---|---|---|---|---|
5762 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6655 | 0.8482 | 0.7846 | [M:[0.9231, 0.7692, 1.0769, 1.2308, 0.9231, 0.9231, 0.7692, 0.7692], q:[0.7692, 0.3077], qb:[0.4615, 0.6154], phi:[0.4615]] | 3*t^2.308 + 4*t^2.769 + t^3.231 + 3*t^4.154 + 7*t^4.615 + 12*t^5.077 + 11*t^5.538 - t^4.385/y - t^4.385*y | detail | {a: 11697/17576, c: 3727/4394, M1: 12/13, M2: 10/13, M3: 14/13, M4: 16/13, M5: 12/13, M6: 12/13, M7: 10/13, M8: 10/13, q1: 10/13, q2: 4/13, qb1: 6/13, qb2: 8/13, phi1: 6/13} |
5761 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6544 | 0.8275 | 0.7908 | [M:[0.9231, 0.7692, 1.0769, 1.2308, 0.9231, 0.9231, 0.7692, 0.9231], q:[0.7692, 0.3077], qb:[0.4615, 0.6154], phi:[0.4615]] | 2*t^2.308 + 5*t^2.769 + t^3.692 + 3*t^4.154 + 4*t^4.615 + 10*t^5.077 + 13*t^5.538 - 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 5751/8788, c: 1818/2197, M1: 12/13, M2: 10/13, M3: 14/13, M4: 16/13, M5: 12/13, M6: 12/13, M7: 10/13, M8: 12/13, q1: 10/13, q2: 4/13, qb1: 6/13, qb2: 8/13, phi1: 6/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
2318 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.6995 | 0.8591 | 0.8142 | [M:[0.9785, 0.9356, 1.0215, 1.0644, 0.9785, 0.9785, 0.9356], q:[0.5751, 0.4464], qb:[0.4893, 0.5322], phi:[0.4893]] | 2*t^2.807 + 4*t^2.936 + t^3.322 + t^4.146 + t^4.275 + 2*t^4.403 + 2*t^4.532 + 2*t^4.661 + t^4.79 + t^4.918 + 2*t^5.614 + 6*t^5.743 + 7*t^5.871 - 4*t^6. - t^4.468/y - t^4.468*y | detail |