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 |
---|---|---|---|---|---|---|---|---|---|
3076 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ | 0.5921 | 0.7565 | 0.7826 | [M:[0.9474, 1.1579, 1.0526, 0.7368, 1.2632, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 32487/54872, c: 5189/6859, M1: 18/19, M2: 22/19, M3: 20/19, M4: 14/19, M5: 24/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 1 | 2*t^2.211 + t^2.526 + 2*t^3.158 + 3*t^3.474 + 2*t^3.789 + 3*t^4.105 + 3*t^4.421 + 2*t^4.737 + t^5.053 + 4*t^5.368 + 5*t^5.684 + t^6. + 5*t^6.316 + 9*t^6.632 + 6*t^6.947 + 7*t^7.263 + 9*t^7.579 + 7*t^7.895 + 4*t^8.211 + 4*t^8.526 + 9*t^8.842 - t^4.579/y + (2*t^7.421)/y + t^7.737/y + (4*t^8.368)/y + (8*t^8.684)/y - t^4.579*y + 2*t^7.421*y + t^7.737*y + 4*t^8.368*y + 8*t^8.684*y | 2*t^2.211 + t^2.526 + 2*t^3.158 + 3*t^3.474 + 2*t^3.789 + 3*t^4.105 + 3*t^4.421 + 2*t^4.737 + t^5.053 + 4*t^5.368 + 5*t^5.684 + t^6. + 5*t^6.316 + 9*t^6.632 + 6*t^6.947 + 7*t^7.263 + 9*t^7.579 + 7*t^7.895 + 4*t^8.211 + 4*t^8.526 + 9*t^8.842 - t^4.579/y + (2*t^7.421)/y + t^7.737/y + (4*t^8.368)/y + (8*t^8.684)/y - t^4.579*y + 2*t^7.421*y + t^7.737*y + 4*t^8.368*y + 8*t^8.684*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 |
---|---|---|---|---|---|---|---|---|
4920 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}M_{7}$ | 0.5784 | 0.733 | 0.7891 | [M:[0.9474, 1.1579, 1.0526, 0.7368, 1.2632, 0.8421, 1.1579], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 2*t^2.211 + 2*t^3.158 + 4*t^3.474 + 2*t^3.789 + 3*t^4.105 + 3*t^4.421 + 4*t^5.368 + 5*t^5.684 - 2*t^6. - t^4.579/y - t^4.579*y | detail | {a: 63471/109744, c: 40219/54872, M1: 18/19, M2: 22/19, M3: 20/19, M4: 14/19, M5: 24/19, M6: 16/19, M7: 22/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
2020 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6053 | 0.7762 | 0.7798 | [M:[0.9931, 1.0207, 1.0069, 0.7483, 1.2517, 0.7621], q:[0.7483, 0.2586], qb:[0.4897, 0.4897], phi:[0.5034]] | 2*t^2.245 + t^2.286 + 2*t^3.021 + 2*t^3.062 + t^3.714 + 2*t^3.755 + 3*t^4.448 + 3*t^4.49 + 2*t^4.531 + t^4.572 + 4*t^5.266 + 4*t^5.307 + 2*t^5.348 + t^5.959 - t^6. - t^4.51/y - t^4.51*y | detail |