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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [M:[[2], [-2], [2], [6], [-2]], q:[[1], [-3]], qb:[[-3], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}M_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 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 + 5*t^6.352 + 3*t^6.708 + 6*t^7.06 + 9*t^7.412 + t^7.415 + 7*t^7.764 + 2*t^7.767 + 5*t^8.116 + 3*t^8.12 + 4*t^8.472 - t^4.412/y - t^6.884/y - t^7.236/y + t^7.588/y + t^7.94/y + (2*t^8.296)/y + (5*t^8.648)/y - t^4.412*y - t^6.884*y - t^7.236*y + t^7.588*y + t^7.94*y + 2*t^8.296*y + 5*t^8.648*y | g1^6*t^2.472 + 2*g1^2*t^2.824 + (4*t^3.176)/g1^2 + 3*g1^3*t^4.236 + (4*t^4.588)/g1 + (3*t^4.94)/g1^5 + g1^12*t^4.943 + 2*g1^8*t^5.296 + 3*g1^4*t^5.648 + (5*t^6.352)/g1^4 + 3*g1^9*t^6.708 + 6*g1^5*t^7.06 + 9*g1*t^7.412 + g1^18*t^7.415 + (7*t^7.764)/g1^3 + 2*g1^14*t^7.767 + (5*t^8.116)/g1^7 + 3*g1^10*t^8.12 + 4*g1^6*t^8.472 - (g1*t^4.412)/y - (g1^7*t^6.884)/y - (g1^3*t^7.236)/y + t^7.588/(g1*y) + t^7.94/(g1^5*y) + (2*g1^8*t^8.296)/y + (5*g1^4*t^8.648)/y - g1*t^4.412*y - g1^7*t^6.884*y - g1^3*t^7.236*y + (t^7.588*y)/g1 + (t^7.94*y)/g1^5 + 2*g1^8*t^8.296*y + 5*g1^4*t^8.648*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 |
---|---|---|---|---|---|---|---|---|
1266 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ | 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]] | 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. - t^4.425/y - t^4.425*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
492 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7546 | 0.9174 | 0.8226 | [M:[0.7904, 1.2096, 0.7904, 0.7904, 0.7904], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]] | 4*t^2.371 + 3*t^3.629 + 10*t^4.743 + 10*t^4.814 - 4*t^6. - t^4.186/y - t^4.186*y | detail |