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 |
---|---|---|---|---|---|---|---|---|---|
1266 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ | 0.7036 | 0.8583 | 0.8198 | [M:[0.9501, 1.0499, 0.9501, 0.8504, 1.0499, 1.0499], q:[0.4751, 0.5748], qb:[0.5748, 0.4751], phi:[0.4751]] | [M:[[2], [-2], [2], [6], [-2], [-2]], q:[[1], [-3]], qb:[[-3], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -3 | t^2.551 + t^2.85 + 5*t^3.15 + 3*t^4.276 + 4*t^4.575 + 3*t^4.874 + t^5.102 + t^5.401 + 2*t^5.701 - 3*t^6. + 10*t^6.299 + 3*t^6.827 + 3*t^7.126 + 8*t^7.425 + t^7.653 + 8*t^7.724 + t^7.953 + 8*t^8.024 + 2*t^8.252 + 2*t^8.551 + 2*t^8.85 - t^4.425/y - t^6.976/y + t^7.874/y + t^8.401/y + (5*t^8.701)/y - t^4.425*y - t^6.976*y + t^7.874*y + t^8.401*y + 5*t^8.701*y | g1^6*t^2.551 + g1^2*t^2.85 + (5*t^3.15)/g1^2 + 3*g1^3*t^4.276 + (4*t^4.575)/g1 + (3*t^4.874)/g1^5 + g1^12*t^5.102 + g1^8*t^5.401 + 2*g1^4*t^5.701 - 3*t^6. + (10*t^6.299)/g1^4 + 3*g1^9*t^6.827 + 3*g1^5*t^7.126 + 8*g1*t^7.425 + g1^18*t^7.653 + (8*t^7.724)/g1^3 + g1^14*t^7.953 + (8*t^8.024)/g1^7 + 2*g1^10*t^8.252 + 2*g1^6*t^8.551 + 2*g1^2*t^8.85 - (g1*t^4.425)/y - (g1^7*t^6.976)/y + t^7.874/(g1^5*y) + (g1^8*t^8.401)/y + (5*g1^4*t^8.701)/y - g1*t^4.425*y - g1^7*t^6.976*y + (t^7.874*y)/g1^5 + g1^8*t^8.401*y + 5*g1^4*t^8.701*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 |
---|---|---|---|---|---|---|---|---|
2311 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6994 | 0.8518 | 0.8211 | [M:[0.9593, 1.0407, 0.9593, 0.8778, 1.0407, 1.0407, 1.0407], q:[0.4796, 0.5611], qb:[0.5611, 0.4796], phi:[0.4796]] | t^2.633 + 6*t^3.122 + 3*t^4.317 + 4*t^4.561 + 3*t^4.805 + t^5.267 + 2*t^5.756 - 8*t^6. - t^4.439/y - t^4.439*y | detail | |
2310 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.5805 | 0.693 | 0.8377 | [X:[1.6], M:[0.8, 1.2, 0.8, 0.4, 1.2, 1.2], q:[0.4, 0.8], qb:[0.8, 0.4], phi:[0.4]] | t^2.4 + 8*t^3.6 + 2*t^4.8 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 1161/2000, c: 693/1000, X1: 8/5, M1: 4/5, M2: 6/5, M3: 4/5, M4: 2/5, M5: 6/5, M6: 6/5, q1: 2/5, q2: 4/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
2309 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}X_{1}$ | 0.5805 | 0.693 | 0.8377 | [X:[1.6], M:[0.8, 1.2, 0.8, 0.4, 1.2, 1.2], q:[0.4, 0.8], qb:[0.8, 0.4], phi:[0.4]] | t^2.4 + 8*t^3.6 + 2*t^4.8 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 1161/2000, c: 693/1000, X1: 8/5, M1: 4/5, M2: 6/5, M3: 4/5, M4: 2/5, M5: 6/5, M6: 6/5, q1: 2/5, q2: 4/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
782 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ | 0.7087 | 0.8668 | 0.8176 | [M:[0.9413, 1.0587, 0.9413, 0.8239, 1.0587], q:[0.4707, 0.588], qb:[0.588, 0.4707], phi:[0.4707]] | t^2.472 + 2*t^2.824 + 4*t^3.176 + 3*t^4.236 + 4*t^4.588 + 3*t^4.94 + t^4.943 + 2*t^5.296 + 3*t^5.648 - t^4.412/y - t^4.412*y | detail |