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 |
---|---|---|---|---|---|---|---|---|---|
2439 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7016 | 0.8843 | 0.7934 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.8462], q:[0.3462, 0.6538], qb:[0.5, 0.6538], phi:[0.4615]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 24663/35152, c: 31085/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, M6: 11/13, q1: 9/26, q2: 17/26, qb1: 1/2, qb2: 17/26, phi1: 6/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 1 | t^2.077 + 3*t^2.538 + t^2.769 + 2*t^3. + t^3.462 + t^3.923 + t^4.154 + 3*t^4.385 + 3*t^4.615 + 3*t^4.846 + 6*t^5.077 + 6*t^5.308 + 5*t^5.538 + 2*t^5.769 + t^6. + 2*t^6.231 + 2*t^6.462 + 3*t^6.692 + 8*t^6.923 + 8*t^7.154 + 11*t^7.385 + 8*t^7.615 + 14*t^7.846 + 7*t^8.077 + 10*t^8.308 - 5*t^8.538 + 7*t^8.769 - t^4.385/y - t^6.462/y - (2*t^6.923)/y - t^7.154/y + (4*t^7.615)/y + (3*t^7.846)/y + (5*t^8.077)/y + (4*t^8.308)/y + (6*t^8.538)/y + (2*t^8.769)/y - t^4.385*y - t^6.462*y - 2*t^6.923*y - t^7.154*y + 4*t^7.615*y + 3*t^7.846*y + 5*t^8.077*y + 4*t^8.308*y + 6*t^8.538*y + 2*t^8.769*y | t^2.077 + 3*t^2.538 + t^2.769 + 2*t^3. + t^3.462 + t^3.923 + t^4.154 + 3*t^4.385 + 3*t^4.615 + 3*t^4.846 + 6*t^5.077 + 6*t^5.308 + 5*t^5.538 + 2*t^5.769 + t^6. + 2*t^6.231 + 2*t^6.462 + 3*t^6.692 + 8*t^6.923 + 8*t^7.154 + 11*t^7.385 + 8*t^7.615 + 14*t^7.846 + 7*t^8.077 + 10*t^8.308 - 5*t^8.538 + 7*t^8.769 - t^4.385/y - t^6.462/y - (2*t^6.923)/y - t^7.154/y + (4*t^7.615)/y + (3*t^7.846)/y + (5*t^8.077)/y + (4*t^8.308)/y + (6*t^8.538)/y + (2*t^8.769)/y - t^4.385*y - t^6.462*y - 2*t^6.923*y - t^7.154*y + 4*t^7.615*y + 3*t^7.846*y + 5*t^8.077*y + 4*t^8.308*y + 6*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 |
---|---|---|---|---|---|---|---|---|
4477 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6882 | 0.8613 | 0.799 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.8462, 1.1538], q:[0.3462, 0.6538], qb:[0.5, 0.6538], phi:[0.4615]] | t^2.077 + 2*t^2.538 + t^2.769 + 2*t^3. + 2*t^3.462 + t^3.923 + t^4.154 + 3*t^4.385 + 2*t^4.615 + 3*t^4.846 + 3*t^5.077 + 5*t^5.308 + 4*t^5.538 + 2*t^5.769 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 1512/2197, c: 7569/8788, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, M6: 11/13, M7: 15/13, q1: 9/26, q2: 17/26, qb1: 1/2, qb2: 17/26, phi1: 6/13} |
4476 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{7}$ | 0.681 | 0.8444 | 0.8064 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.8462, 1.3077], q:[0.3462, 0.6538], qb:[0.5, 0.6538], phi:[0.4615]] | 3*t^2.538 + t^2.769 + 2*t^3. + t^3.462 + 2*t^3.923 + 3*t^4.385 + 2*t^4.846 + 4*t^5.077 + 6*t^5.308 + 4*t^5.538 + 2*t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 23937/35152, c: 29683/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, M6: 11/13, M7: 17/13, q1: 9/26, q2: 17/26, qb1: 1/2, qb2: 17/26, phi1: 6/13} |
4481 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.7223 | 0.9242 | 0.7815 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.8462, 0.6923], q:[0.3462, 0.6538], qb:[0.5, 0.6538], phi:[0.4615]] | 2*t^2.077 + 3*t^2.538 + t^2.769 + 2*t^3. + t^3.462 + 3*t^4.154 + 3*t^4.385 + 6*t^4.615 + 4*t^4.846 + 8*t^5.077 + 6*t^5.308 + 6*t^5.538 + 2*t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 1953/2704, c: 2499/2704, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, M6: 11/13, M7: 9/13, q1: 9/26, q2: 17/26, qb1: 1/2, qb2: 17/26, phi1: 6/13} |
4478 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6945 | 0.8724 | 0.7961 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.8462, 1.0769], q:[0.3462, 0.6538], qb:[0.5, 0.6538], phi:[0.4615]] | t^2.077 + 3*t^2.538 + 2*t^3. + t^3.231 + t^3.462 + t^3.923 + t^4.154 + 3*t^4.385 + 3*t^4.615 + 2*t^4.846 + 6*t^5.077 + 4*t^5.308 + 4*t^5.538 + 3*t^5.769 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 939/1352, c: 2359/2704, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, M6: 11/13, M7: 14/13, q1: 9/26, q2: 17/26, qb1: 1/2, qb2: 17/26, phi1: 6/13} |
4479 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.715 | 0.9073 | 0.788 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.8462, 0.8462], q:[0.3462, 0.6538], qb:[0.5, 0.6538], phi:[0.4615]] | t^2.077 + 4*t^2.538 + t^2.769 + 2*t^3. + t^3.923 + t^4.154 + 3*t^4.385 + 4*t^4.615 + 3*t^4.846 + 10*t^5.077 + 7*t^5.308 + 6*t^5.538 + 2*t^5.769 - 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 12567/17576, c: 15947/17576, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, M6: 11/13, M7: 11/13, q1: 9/26, q2: 17/26, qb1: 1/2, qb2: 17/26, 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 |
---|---|---|---|---|---|---|---|---|---|
1376 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.7288 | 0.914 | 0.7974 | [M:[1.0, 0.925, 1.075, 0.85, 0.925, 0.6688], q:[0.425, 0.575], qb:[0.5, 0.575], phi:[0.4812]] | t^2.006 + t^2.55 + 2*t^2.775 + t^2.887 + 2*t^3. + t^3.225 + t^4.013 + t^4.219 + 3*t^4.444 + t^4.556 + 2*t^4.669 + 2*t^4.781 + 4*t^4.894 + 2*t^5.006 + t^5.1 + t^5.231 + 2*t^5.325 + t^5.437 + 3*t^5.55 + 2*t^5.662 + 3*t^5.775 + 2*t^5.887 - t^6. - t^4.444/y - t^4.444*y | detail |