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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58677 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7137 | 0.8916 | 0.8005 | [M:[0.9231, 1.0769, 1.0769, 0.7692, 0.9231, 0.7692, 0.9231], q:[0.3846, 0.6923], qb:[0.5385, 0.5385], phi:[0.4615]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 25089/35152, c: 15671/17576, M1: 12/13, M2: 14/13, M3: 14/13, M4: 10/13, M5: 12/13, M6: 10/13, M7: 12/13, q1: 5/13, q2: 9/13, qb1: 7/13, qb2: 7/13, phi1: 6/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$ | ${}M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0 | 2*t^2.308 + 4*t^2.769 + t^3.231 + t^3.692 + 2*t^4.154 + 7*t^4.615 + 9*t^5.077 + 9*t^5.538 + 3*t^6.462 + 14*t^6.923 + 22*t^7.385 + 15*t^7.846 + 8*t^8.308 - 4*t^8.769 - t^4.385/y - (2*t^6.692)/y - (2*t^7.154)/y + (3*t^7.615)/y + (10*t^8.077)/y + (8*t^8.538)/y - t^4.385*y - 2*t^6.692*y - 2*t^7.154*y + 3*t^7.615*y + 10*t^8.077*y + 8*t^8.538*y | 2*t^2.308 + 4*t^2.769 + t^3.231 + t^3.692 + 2*t^4.154 + 7*t^4.615 + 9*t^5.077 + 9*t^5.538 + 3*t^6.462 + 14*t^6.923 + 22*t^7.385 + 15*t^7.846 + 8*t^8.308 - 4*t^8.769 - t^4.385/y - (2*t^6.692)/y - (2*t^7.154)/y + (3*t^7.615)/y + (10*t^8.077)/y + (8*t^8.538)/y - t^4.385*y - 2*t^6.692*y - 2*t^7.154*y + 3*t^7.615*y + 10*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
56598 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7194 | 0.9002 | 0.7992 | [M:[0.9785, 1.087, 1.0215, 0.739, 0.8475, 0.8045, 0.913], q:[0.3695, 0.652], qb:[0.5435, 0.609], phi:[0.4565]] | t^2.217 + t^2.413 + t^2.543 + 2*t^2.739 + t^2.935 + t^3.065 + t^3.587 + t^4.109 + t^4.305 + 2*t^4.434 + 2*t^4.63 + t^4.76 + 2*t^4.827 + 4*t^4.956 + t^5.023 + t^5.085 + 3*t^5.152 + 3*t^5.282 + t^5.349 + 4*t^5.478 + t^5.607 + t^5.674 + 2*t^5.804 - 2*t^6. - t^4.37/y - t^4.37*y | detail | {a: 1723997/2396304, c: 1078525/1198152, M1: 1136/1161, M2: 1262/1161, M3: 1186/1161, M4: 286/387, M5: 328/387, M6: 934/1161, M7: 1060/1161, q1: 143/387, q2: 757/1161, qb1: 631/1161, qb2: 707/1161, phi1: 530/1161} |