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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56153 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{5}$ | 0.578 | 0.7415 | 0.7796 | [M:[1.3077, 1.0, 0.6923, 0.8462, 1.1538, 0.6923], q:[0.4231, 0.2692], qb:[0.5769, 0.8846], phi:[0.4615]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1563/2704, c: 2005/2704, M1: 17/13, M2: 1, M3: 9/13, M4: 11/13, M5: 15/13, M6: 9/13, q1: 11/26, q2: 7/26, qb1: 15/26, qb2: 23/26, phi1: 6/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 3 | 2*t^2.077 + t^2.538 + t^2.769 + 2*t^3. + 2*t^3.462 + 2*t^3.923 + 2*t^4.154 + 2*t^4.385 + t^4.615 + 4*t^4.846 + 3*t^5.077 + 2*t^5.308 + 4*t^5.538 + 3*t^5.769 + 3*t^6. + 3*t^6.231 + 4*t^6.462 + 3*t^6.692 + 8*t^6.923 + 2*t^7.154 + 6*t^7.385 + 4*t^7.615 + 9*t^7.846 - t^8.077 + 9*t^8.308 + 9*t^8.769 - t^4.385/y - t^6.462/y + (3*t^7.615)/y + (2*t^7.846)/y + (4*t^8.077)/y + (2*t^8.308)/y + (5*t^8.538)/y + (2*t^8.769)/y - t^4.385*y - t^6.462*y + 3*t^7.615*y + 2*t^7.846*y + 4*t^8.077*y + 2*t^8.308*y + 5*t^8.538*y + 2*t^8.769*y | 2*t^2.077 + t^2.538 + t^2.769 + 2*t^3. + 2*t^3.462 + 2*t^3.923 + 2*t^4.154 + 2*t^4.385 + t^4.615 + 4*t^4.846 + 3*t^5.077 + 2*t^5.308 + 4*t^5.538 + 3*t^5.769 + 3*t^6. + 3*t^6.231 + 4*t^6.462 + 3*t^6.692 + 8*t^6.923 + 2*t^7.154 + 6*t^7.385 + 4*t^7.615 + 9*t^7.846 - t^8.077 + 9*t^8.308 + 9*t^8.769 - t^4.385/y - t^6.462/y + (3*t^7.615)/y + (2*t^7.846)/y + (4*t^8.077)/y + (2*t^8.308)/y + (5*t^8.538)/y + (2*t^8.769)/y - t^4.385*y - t^6.462*y + 3*t^7.615*y + 2*t^7.846*y + 4*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 |
---|---|---|---|---|---|---|---|---|
58326 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{7}$ | 0.5987 | 0.7814 | 0.7662 | [M:[1.3077, 1.0, 0.6923, 0.8462, 1.1538, 0.6923, 0.6923], q:[0.4231, 0.2692], qb:[0.5769, 0.8846], phi:[0.4615]] | 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. - t^4.385/y - t^4.385*y | detail | {a: 21045/35152, c: 27467/35152, M1: 17/13, M2: 1, M3: 9/13, M4: 11/13, M5: 15/13, M6: 9/13, M7: 9/13, q1: 11/26, q2: 7/26, qb1: 15/26, qb2: 23/26, phi1: 6/13} |
58323 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}M_{7}$ | 0.5574 | 0.7016 | 0.7944 | [M:[1.3077, 1.0, 0.6923, 0.8462, 1.1538, 0.6923, 1.3077], q:[0.4231, 0.2692], qb:[0.5769, 0.8846], phi:[0.4615]] | t^2.077 + t^2.538 + t^2.769 + 2*t^3. + 2*t^3.462 + 3*t^3.923 + 2*t^4.385 + 3*t^4.846 + t^5.077 + 2*t^5.308 + 2*t^5.538 + 3*t^5.769 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 19593/35152, c: 24663/35152, M1: 17/13, M2: 1, M3: 9/13, M4: 11/13, M5: 15/13, M6: 9/13, M7: 17/13, q1: 11/26, q2: 7/26, qb1: 15/26, qb2: 23/26, phi1: 6/13} |
58325 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}M_{7}$ | 0.5914 | 0.7645 | 0.7736 | [M:[1.3077, 1.0, 0.6923, 0.8462, 1.1538, 0.6923, 0.8462], q:[0.4231, 0.2692], qb:[0.5769, 0.8846], phi:[0.4615]] | 2*t^2.077 + 2*t^2.538 + t^2.769 + 2*t^3. + t^3.462 + 2*t^3.923 + 2*t^4.154 + 2*t^4.385 + 3*t^4.615 + 4*t^4.846 + 5*t^5.077 + 3*t^5.308 + 4*t^5.538 + 3*t^5.769 + 3*t^6. - t^4.385/y - t^4.385*y | detail | {a: 10395/17576, c: 13437/17576, M1: 17/13, M2: 1, M3: 9/13, M4: 11/13, M5: 15/13, M6: 9/13, M7: 11/13, q1: 11/26, q2: 7/26, qb1: 15/26, qb2: 23/26, phi1: 6/13} |
58324 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{5}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.5709 | 0.7296 | 0.7825 | [M:[1.3077, 1.0, 0.6923, 0.8462, 1.1538, 0.6923, 1.0769], q:[0.4231, 0.2692], qb:[0.5769, 0.8846], phi:[0.4615]] | 2*t^2.077 + t^2.538 + 2*t^3. + t^3.231 + 2*t^3.462 + 2*t^3.923 + 2*t^4.154 + 2*t^4.385 + t^4.615 + 2*t^4.846 + 3*t^5.077 + 3*t^5.308 + 3*t^5.538 + 2*t^5.769 + 3*t^6. - t^4.385/y - t^4.385*y | detail | {a: 10035/17576, c: 25647/35152, M1: 17/13, M2: 1, M3: 9/13, M4: 11/13, M5: 15/13, M6: 9/13, M7: 14/13, q1: 11/26, q2: 7/26, qb1: 15/26, 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 |
---|---|---|---|---|---|---|---|---|---|
50850 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6844 | 0.8552 | 0.8003 | [M:[1.1117, 1.0, 0.8883, 0.6894, 0.8011, 0.8883], q:[0.3447, 0.5436], qb:[0.6553, 0.767], phi:[0.4223]] | t^2.068 + t^2.403 + t^2.534 + 2*t^2.665 + t^3. + t^3.335 + t^3.932 + t^4.136 + 2*t^4.267 + t^4.471 + t^4.529 + 2*t^4.602 + t^4.733 + t^4.806 + t^4.864 + t^4.937 + 3*t^5.068 + 4*t^5.199 + 2*t^5.33 + t^5.403 + 2*t^5.534 + t^5.738 + 2*t^5.869 - t^6. - t^4.267/y - t^4.267*y | detail |