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 |
---|---|---|---|---|---|---|---|---|---|
4603 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6996 | 0.8678 | 0.8061 | [M:[1.0769, 0.7692, 0.9231, 0.9231, 1.0769, 0.7692, 1.0769], q:[0.5385, 0.3846], qb:[0.5385, 0.6923], phi:[0.4615]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 24591/35152, c: 15253/17576, M1: 14/13, M2: 10/13, M3: 12/13, M4: 12/13, M5: 14/13, M6: 10/13, M7: 14/13, q1: 7/13, q2: 5/13, qb1: 7/13, qb2: 9/13, phi1: 6/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{7}\phi_{1}^{2}$ | 2 | 2*t^2.308 + 2*t^2.769 + 3*t^3.231 + t^3.692 + 2*t^4.154 + 7*t^4.615 + 5*t^5.077 + 6*t^5.538 + 2*t^6. + 6*t^6.462 + 12*t^6.923 + 12*t^7.385 + 13*t^7.846 + 4*t^8.308 + 7*t^8.769 - t^4.385/y - (2*t^6.692)/y + t^7.615/y + (6*t^8.077)/y + (7*t^8.538)/y - t^4.385*y - 2*t^6.692*y + t^7.615*y + 6*t^8.077*y + 7*t^8.538*y | 2*t^2.308 + 2*t^2.769 + 3*t^3.231 + t^3.692 + 2*t^4.154 + 7*t^4.615 + 5*t^5.077 + 6*t^5.538 + 2*t^6. + 6*t^6.462 + 12*t^6.923 + 12*t^7.385 + 13*t^7.846 + 4*t^8.308 + 7*t^8.769 - t^4.385/y - (2*t^6.692)/y + t^7.615/y + (6*t^8.077)/y + (7*t^8.538)/y - t^4.385*y - 2*t^6.692*y + t^7.615*y + 6*t^8.077*y + 7*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 |
---|---|---|---|---|---|---|---|---|
6129 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{8}$ | 0.7066 | 0.8797 | 0.8033 | [M:[1.0769, 0.7692, 0.9231, 0.9231, 1.0769, 0.7692, 1.0769, 0.9231], q:[0.5385, 0.3846], qb:[0.5385, 0.6923], phi:[0.4615]] | 2*t^2.308 + 3*t^2.769 + 2*t^3.231 + t^3.692 + 2*t^4.154 + 7*t^4.615 + 7*t^5.077 + 7*t^5.538 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 3105/4394, c: 7731/8788, M1: 14/13, M2: 10/13, M3: 12/13, M4: 12/13, M5: 14/13, M6: 10/13, M7: 14/13, M8: 12/13, q1: 7/13, q2: 5/13, qb1: 7/13, qb2: 9/13, phi1: 6/13} |
6124 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6814 | 0.8352 | 0.8158 | [M:[1.0769, 0.7692, 0.9231, 0.9231, 1.0769, 0.7692, 1.0769, 1.2308], q:[0.5385, 0.3846], qb:[0.5385, 0.6923], phi:[0.4615]] | t^2.308 + 2*t^2.769 + 3*t^3.231 + 2*t^3.692 + 2*t^4.154 + 5*t^4.615 + 3*t^5.077 + 3*t^5.538 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 1497/2197, c: 1835/2197, M1: 14/13, M2: 10/13, M3: 12/13, M4: 12/13, M5: 14/13, M6: 10/13, M7: 14/13, M8: 16/13, q1: 7/13, q2: 5/13, qb1: 7/13, qb2: 9/13, phi1: 6/13} |
6126 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{8}$ | 0.6925 | 0.8559 | 0.809 | [M:[1.0769, 0.7692, 0.9231, 0.9231, 1.0769, 0.7692, 1.0769, 1.0769], q:[0.5385, 0.3846], qb:[0.5385, 0.6923], phi:[0.4615]] | 2*t^2.308 + t^2.769 + 4*t^3.231 + t^3.692 + 2*t^4.154 + 7*t^4.615 + 3*t^5.077 + 6*t^5.538 - t^4.385/y - t^4.385*y | detail | {a: 12171/17576, c: 3761/4394, M1: 14/13, M2: 10/13, M3: 12/13, M4: 12/13, M5: 14/13, M6: 10/13, M7: 14/13, M8: 14/13, q1: 7/13, q2: 5/13, qb1: 7/13, qb2: 9/13, phi1: 6/13} |
6132 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7177 | 0.9004 | 0.7971 | [M:[1.0769, 0.7692, 0.9231, 0.9231, 1.0769, 0.7692, 1.0769, 0.7692], q:[0.5385, 0.3846], qb:[0.5385, 0.6923], phi:[0.4615]] | 3*t^2.308 + 2*t^2.769 + 3*t^3.231 + 2*t^4.154 + 10*t^4.615 + 7*t^5.077 + 9*t^5.538 - t^4.385/y - t^4.385*y | detail | {a: 12615/17576, c: 7913/8788, M1: 14/13, M2: 10/13, M3: 12/13, M4: 12/13, M5: 14/13, M6: 10/13, M7: 14/13, M8: 10/13, q1: 7/13, q2: 5/13, qb1: 7/13, qb2: 9/13, 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 |
---|---|---|---|---|---|---|---|---|---|
2552 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.7003 | 0.8676 | 0.8071 | [M:[1.0806, 0.7583, 0.8957, 0.9432, 1.0568, 0.782, 1.1043], q:[0.5403, 0.3791], qb:[0.564, 0.6777], phi:[0.4597]] | t^2.275 + t^2.346 + t^2.758 + t^2.83 + t^3.17 + t^3.242 + t^3.313 + t^3.654 + t^4.137 + t^4.209 + 2*t^4.55 + 2*t^4.621 + 2*t^4.692 + t^4.763 + 2*t^5.033 + 2*t^5.104 + t^5.176 + t^5.445 + 2*t^5.517 + 2*t^5.588 + t^5.659 + t^5.929 - t^6. - t^4.379/y - t^4.379*y | detail |