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 |
---|---|---|---|---|---|---|---|---|---|
4674 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{3}$ | 0.5987 | 0.7814 | 0.7662 | [M:[1.0, 0.8462, 1.1538, 0.6923, 1.3077, 0.6923, 0.6923], q:[0.5769, 0.4231], qb:[0.2692, 0.8846], phi:[0.4615]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 21045/35152, c: 27467/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 17/13, M6: 9/13, M7: 9/13, 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 |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$ | 2 | 3*t^2.077 + t^2.538 + t^2.769 + 2*t^3. + 2*t^3.462 + t^3.923 + 5*t^4.154 + 2*t^4.385 + 2*t^4.615 + 5*t^4.846 + 5*t^5.077 + 2*t^5.308 + 6*t^5.538 + 3*t^5.769 + 2*t^6. + 8*t^6.231 + 5*t^6.462 + 4*t^6.692 + 11*t^6.923 + 7*t^7.154 + 6*t^7.385 + 10*t^7.615 + 10*t^7.846 - t^8.077 + 15*t^8.308 + 4*t^8.538 + 9*t^8.769 - t^4.385/y - (2*t^6.462)/y + (2*t^7.154)/y + (4*t^7.615)/y + (3*t^7.846)/y + (6*t^8.077)/y + (3*t^8.308)/y + (5*t^8.538)/y + (2*t^8.769)/y - t^4.385*y - 2*t^6.462*y + 2*t^7.154*y + 4*t^7.615*y + 3*t^7.846*y + 6*t^8.077*y + 3*t^8.308*y + 5*t^8.538*y + 2*t^8.769*y | 3*t^2.077 + t^2.538 + t^2.769 + 2*t^3. + 2*t^3.462 + t^3.923 + 5*t^4.154 + 2*t^4.385 + 2*t^4.615 + 5*t^4.846 + 5*t^5.077 + 2*t^5.308 + 6*t^5.538 + 3*t^5.769 + 2*t^6. + 8*t^6.231 + 5*t^6.462 + 4*t^6.692 + 11*t^6.923 + 7*t^7.154 + 6*t^7.385 + 10*t^7.615 + 10*t^7.846 - t^8.077 + 15*t^8.308 + 4*t^8.538 + 9*t^8.769 - t^4.385/y - (2*t^6.462)/y + (2*t^7.154)/y + (4*t^7.615)/y + (3*t^7.846)/y + (6*t^8.077)/y + (3*t^8.308)/y + (5*t^8.538)/y + (2*t^8.769)/y - t^4.385*y - 2*t^6.462*y + 2*t^7.154*y + 4*t^7.615*y + 3*t^7.846*y + 6*t^8.077*y + 3*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 |
---|---|---|---|---|---|---|---|---|
6254 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6193 | 0.8213 | 0.7541 | [M:[1.0, 0.8462, 1.1538, 0.6923, 1.3077, 0.6923, 0.6923, 0.6923], q:[0.5769, 0.4231], qb:[0.2692, 0.8846], phi:[0.4615]] | 4*t^2.077 + t^2.538 + t^2.769 + 2*t^3. + 2*t^3.462 + 9*t^4.154 + 2*t^4.385 + 3*t^4.615 + 6*t^4.846 + 7*t^5.077 + 2*t^5.308 + 8*t^5.538 + 3*t^5.769 - t^6. - t^4.385/y - t^4.385*y | detail | {a: 21771/35152, c: 28869/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 17/13, M6: 9/13, M7: 9/13, M8: 9/13, q1: 15/26, q2: 11/26, qb1: 7/26, qb2: 23/26, 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 |
---|---|---|---|---|---|---|---|---|---|
2587 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6951 | 0.8732 | 0.796 | [M:[1.0, 0.7009, 0.827, 0.8739, 1.1261, 0.8739, 0.8739], q:[0.6496, 0.3504], qb:[0.5234, 0.7757], phi:[0.4252]] | t^2.103 + t^2.481 + t^2.551 + 3*t^2.622 + t^3. + t^3.897 + t^4.205 + 2*t^4.276 + t^4.416 + t^4.584 + 2*t^4.654 + 2*t^4.724 + t^4.795 + t^4.962 + t^5.032 + 4*t^5.103 + 5*t^5.173 + 5*t^5.243 + 2*t^5.551 + t^5.622 + t^5.93 - 3*t^6. - t^4.276/y - t^4.276*y | detail |