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 |
---|---|---|---|---|---|---|---|---|---|
4627 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{4}^{2}$ | 0.7103 | 0.8864 | 0.8013 | [M:[1.0909, 0.7273, 0.8182, 1.0, 1.0, 0.8182, 1.0], q:[0.5455, 0.3636], qb:[0.6364, 0.6364], phi:[0.4545]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 7563/10648, c: 18877/21296, M1: 12/11, M2: 8/11, M3: 9/11, M4: 1, M5: 1, M6: 9/11, M7: 1, q1: 6/11, q2: 4/11, qb1: 7/11, qb2: 7/11, phi1: 5/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$ | ${}M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0 | t^2.182 + 2*t^2.455 + t^2.727 + 2*t^3. + t^3.273 + t^3.545 + t^4.091 + 3*t^4.364 + 3*t^4.636 + 6*t^4.909 + 5*t^5.182 + 5*t^5.455 + 3*t^5.727 + 2*t^6.273 + 4*t^6.545 + 5*t^6.818 + 9*t^7.091 + 12*t^7.364 + 11*t^7.636 + 10*t^7.909 + 5*t^8.182 + 3*t^8.727 - t^4.364/y - t^6.545/y - (2*t^6.818)/y + (2*t^7.636)/y + (4*t^7.909)/y + (5*t^8.182)/y + (5*t^8.455)/y + (4*t^8.727)/y - t^4.364*y - t^6.545*y - 2*t^6.818*y + 2*t^7.636*y + 4*t^7.909*y + 5*t^8.182*y + 5*t^8.455*y + 4*t^8.727*y | t^2.182 + 2*t^2.455 + t^2.727 + 2*t^3. + t^3.273 + t^3.545 + t^4.091 + 3*t^4.364 + 3*t^4.636 + 6*t^4.909 + 5*t^5.182 + 5*t^5.455 + 3*t^5.727 + 2*t^6.273 + 4*t^6.545 + 5*t^6.818 + 9*t^7.091 + 12*t^7.364 + 11*t^7.636 + 10*t^7.909 + 5*t^8.182 + 3*t^8.727 - t^4.364/y - t^6.545/y - (2*t^6.818)/y + (2*t^7.636)/y + (4*t^7.909)/y + (5*t^8.182)/y + (5*t^8.455)/y + (4*t^8.727)/y - t^4.364*y - t^6.545*y - 2*t^6.818*y + 2*t^7.636*y + 4*t^7.909*y + 5*t^8.182*y + 5*t^8.455*y + 4*t^8.727*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 |
---|---|---|---|---|---|---|---|---|
6180 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{4}^{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.702 | 0.8724 | 0.8046 | [M:[1.0909, 0.7273, 0.8182, 1.0, 1.0, 0.8182, 1.0, 1.0909], q:[0.5455, 0.3636], qb:[0.6364, 0.6364], phi:[0.4545]] | t^2.182 + 2*t^2.455 + 2*t^3. + 2*t^3.273 + t^3.545 + t^4.091 + 3*t^4.364 + 3*t^4.636 + 5*t^4.909 + 3*t^5.182 + 5*t^5.455 + 3*t^5.727 - t^6. - t^4.364/y - t^4.364*y | detail | {a: 1359/1936, c: 1689/1936, M1: 12/11, M2: 8/11, M3: 9/11, M4: 1, M5: 1, M6: 9/11, M7: 1, M8: 12/11, q1: 6/11, q2: 4/11, qb1: 7/11, qb2: 7/11, phi1: 5/11} |
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 |