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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6063 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{7}^{2}$ | 0.5708 | 0.7246 | 0.7877 | [X:[1.4615], M:[1.0, 0.8462, 1.1538, 0.6923, 1.3077, 0.5385, 1.0, 0.8462], q:[0.5769, 0.4231], qb:[0.2692, 0.8846], phi:[0.4615]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1254/2197, c: 1592/2197, X1: 19/13, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 17/13, M6: 7/13, M7: 1, M8: 11/13, q1: 15/26, q2: 11/26, qb1: 7/26, qb2: 23/26, phi1: 6/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 2 | t^2.077 + 2*t^2.538 + t^2.769 + 2*t^3. + t^3.462 + 3*t^3.923 + 2*t^4.385 + t^4.615 + 3*t^4.846 + 3*t^5.077 + 3*t^5.308 + 3*t^5.538 + 3*t^5.769 + 2*t^6. + 4*t^6.462 + 3*t^6.692 + 6*t^6.923 + 6*t^7.385 + 3*t^7.615 + 10*t^7.846 - t^8.077 + 8*t^8.308 - 3*t^8.538 + 7*t^8.769 - t^4.385/y - t^6.923/y - t^7.154/y + (3*t^7.615)/y + (2*t^7.846)/y + (3*t^8.077)/y + (2*t^8.308)/y + (5*t^8.538)/y + (2*t^8.769)/y - t^4.385*y - t^6.923*y - t^7.154*y + 3*t^7.615*y + 2*t^7.846*y + 3*t^8.077*y + 2*t^8.308*y + 5*t^8.538*y + 2*t^8.769*y | t^2.077 + 2*t^2.538 + t^2.769 + 2*t^3. + t^3.462 + 3*t^3.923 + 2*t^4.385 + t^4.615 + 3*t^4.846 + 3*t^5.077 + 3*t^5.308 + 3*t^5.538 + 3*t^5.769 + 2*t^6. + 4*t^6.462 + 3*t^6.692 + 6*t^6.923 + 6*t^7.385 + 3*t^7.615 + 10*t^7.846 - t^8.077 + 8*t^8.308 - 3*t^8.538 + 7*t^8.769 - t^4.385/y - t^6.923/y - t^7.154/y + (3*t^7.615)/y + (2*t^7.846)/y + (3*t^8.077)/y + (2*t^8.308)/y + (5*t^8.538)/y + (2*t^8.769)/y - t^4.385*y - t^6.923*y - t^7.154*y + 3*t^7.615*y + 2*t^7.846*y + 3*t^8.077*y + 2*t^8.308*y + 5*t^8.538*y + 2*t^8.769*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 |
---|---|---|---|---|---|---|---|---|---|
4566 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ | 0.5887 | 0.7531 | 0.7818 | [X:[1.3387], M:[1.1451, 0.7903, 1.2097, 0.7258, 1.2742, 0.6613, 0.8549, 0.7903], q:[0.4597, 0.3952], qb:[0.3306, 0.879], phi:[0.4839]] | t^2.177 + 2*t^2.371 + t^2.565 + t^2.903 + t^3.435 + t^3.629 + 3*t^3.823 + 2*t^4.016 + t^4.21 + t^4.548 + 3*t^4.742 + 2*t^4.936 + 2*t^5.081 + t^5.129 + 3*t^5.274 + 2*t^5.468 + t^5.806 - t^4.452/y - t^4.452*y | detail |