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 |
---|---|---|---|---|---|---|---|---|---|
4629 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{3}$ | 0.7137 | 0.8916 | 0.8005 | [M:[1.0769, 0.7692, 0.9231, 0.9231, 1.0769, 0.7692, 0.9231], 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: 25089/35152, c: 15671/17576, M1: 14/13, M2: 10/13, M3: 12/13, M4: 12/13, M5: 14/13, M6: 10/13, M7: 12/13, 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 |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}M_{4}$, ${ }M_{1}M_{7}$ | 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 |
---|---|---|---|---|---|---|---|---|
6188 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{8}$ | 0.7208 | 0.9035 | 0.7978 | [M:[1.0769, 0.7692, 0.9231, 0.9231, 1.0769, 0.7692, 0.9231, 0.9231], q:[0.5385, 0.3846], qb:[0.5385, 0.6923], phi:[0.4615]] | 2*t^2.308 + 5*t^2.769 + t^3.692 + 2*t^4.154 + 7*t^4.615 + 11*t^5.077 + 12*t^5.538 - 4*t^6. - t^4.385/y - t^4.385*y | detail | {a: 12669/17576, c: 1985/2197, M1: 14/13, M2: 10/13, M3: 12/13, M4: 12/13, M5: 14/13, M6: 10/13, M7: 12/13, M8: 12/13, q1: 7/13, q2: 5/13, qb1: 7/13, qb2: 9/13, phi1: 6/13} |
6190 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{3}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7319 | 0.9242 | 0.7919 | [M:[1.0769, 0.7692, 0.9231, 0.9231, 1.0769, 0.7692, 0.9231, 0.7692], q:[0.5385, 0.3846], qb:[0.5385, 0.6923], phi:[0.4615]] | 3*t^2.308 + 4*t^2.769 + t^3.231 + 2*t^4.154 + 10*t^4.615 + 13*t^5.077 + 10*t^5.538 - 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 1608/2197, c: 4061/4394, M1: 14/13, M2: 10/13, M3: 12/13, M4: 12/13, M5: 14/13, M6: 10/13, M7: 12/13, 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 |
---|---|---|---|---|---|---|---|---|---|
2555 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ | 0.7151 | 0.8924 | 0.8013 | [M:[1.0817, 0.7548, 0.887, 0.9495, 1.0505, 0.7861, 0.9495], q:[0.5409, 0.3774], qb:[0.5721, 0.6731], phi:[0.4591]] | t^2.264 + t^2.358 + t^2.661 + t^2.755 + 2*t^2.849 + t^3.245 + t^3.642 + t^4.132 + t^4.226 + 2*t^4.529 + 2*t^4.623 + 2*t^4.716 + t^4.81 + t^4.926 + 3*t^5.019 + 3*t^5.113 + 2*t^5.207 + t^5.322 + t^5.416 + 3*t^5.51 + 2*t^5.603 + 2*t^5.697 + t^5.906 - 2*t^6. - t^4.377/y - t^4.377*y | detail |