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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50881 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}X_{1}$ | 0.5688 | 0.6872 | 0.8277 | [X:[1.4737], M:[1.0526, 1.1579, 0.9474, 0.5263, 1.0526], q:[0.2632, 0.6842], qb:[0.5789, 0.7895], phi:[0.4211]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 7803/13718, c: 18855/27436, X1: 28/19, M1: 20/19, M2: 22/19, M3: 18/19, M4: 10/19, M5: 20/19, q1: 5/19, q2: 13/19, qb1: 11/19, qb2: 15/19, phi1: 8/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + 2*t^3.789 + 2*t^4.105 + t^4.421 + t^5.053 + 2*t^5.368 + t^5.684 - t^6. + 2*t^6.316 + 3*t^6.632 + 3*t^6.947 + 2*t^7.263 + 3*t^7.579 + 4*t^7.895 + 3*t^8.211 + t^8.526 - t^8.842 - t^4.263/y + t^7.105/y - t^7.421/y + t^8.368/y + (2*t^8.684)/y - t^4.263*y + t^7.105*y - t^7.421*y + t^8.368*y + 2*t^8.684*y | t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + 2*t^3.789 + 2*t^4.105 + t^4.421 + t^5.053 + 2*t^5.368 + t^5.684 - t^6. + 2*t^6.316 + 3*t^6.632 + 3*t^6.947 + 2*t^7.263 + 3*t^7.579 + 4*t^7.895 + 3*t^8.211 + t^8.526 - t^8.842 - t^4.263/y + t^7.105/y - t^7.421/y + t^8.368/y + (2*t^8.684)/y - t^4.263*y + t^7.105*y - t^7.421*y + t^8.368*y + 2*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 |
---|---|---|---|---|---|---|---|---|
56169 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{6}$ | 0.5737 | 0.6954 | 0.825 | [X:[1.4737], M:[1.0526, 1.1579, 0.9474, 0.5263, 1.0526, 0.9474], q:[0.2632, 0.6842], qb:[0.5789, 0.7895], phi:[0.4211]] | t^2.526 + 2*t^2.842 + t^3.158 + t^3.474 + 2*t^3.789 + 2*t^4.105 + t^4.421 + t^5.053 + 3*t^5.368 + 2*t^5.684 - t^6. - t^4.263/y - t^4.263*y | detail | {a: 62961/109744, c: 38159/54872, X1: 28/19, M1: 20/19, M2: 22/19, M3: 18/19, M4: 10/19, M5: 20/19, M6: 18/19, q1: 5/19, q2: 13/19, qb1: 11/19, qb2: 15/19, phi1: 8/19} |
56171 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{6}$ | 0.5825 | 0.7108 | 0.8195 | [X:[1.4737], M:[1.0526, 1.1579, 0.9474, 0.5263, 1.0526, 0.8421], q:[0.2632, 0.6842], qb:[0.5789, 0.7895], phi:[0.4211]] | 2*t^2.526 + t^2.842 + 2*t^3.158 + 2*t^3.789 + 2*t^4.105 + t^4.421 + 3*t^5.053 + 3*t^5.368 + 3*t^5.684 - 2*t^6. - t^4.263/y - t^4.263*y | detail | {a: 63927/109744, c: 39003/54872, X1: 28/19, M1: 20/19, M2: 22/19, M3: 18/19, M4: 10/19, M5: 20/19, M6: 16/19, q1: 5/19, q2: 13/19, qb1: 11/19, qb2: 15/19, phi1: 8/19} |
56168 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{3}M_{6}$ | 0.5639 | 0.6791 | 0.8305 | [X:[1.4737], M:[1.0526, 1.1579, 0.9474, 0.5263, 1.0526, 1.0526], q:[0.2632, 0.6842], qb:[0.5789, 0.7895], phi:[0.4211]] | t^2.526 + 3*t^3.158 + t^3.474 + 2*t^3.789 + 2*t^4.105 + t^4.421 + t^5.053 + t^5.368 + t^5.684 - 3*t^6. - t^4.263/y - t^4.263*y | detail | {a: 61887/109744, c: 37261/54872, X1: 28/19, M1: 20/19, M2: 22/19, M3: 18/19, M4: 10/19, M5: 20/19, M6: 20/19, q1: 5/19, q2: 13/19, qb1: 11/19, qb2: 15/19, phi1: 8/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
48238 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6768 | 0.8462 | 0.7998 | [M:[1.1595, 1.0724, 0.8405, 0.7827, 0.7535], q:[0.3914, 0.4492], qb:[0.5362, 0.7681], phi:[0.4638]] | t^2.26 + t^2.348 + t^2.522 + t^2.783 + t^2.956 + t^3.217 + t^3.478 + 2*t^3.913 + t^4.086 + t^4.174 + t^4.348 + t^4.521 + 2*t^4.609 + t^4.696 + t^4.782 + t^4.87 + 2*t^5.043 + t^5.131 + t^5.217 + 2*t^5.304 + 2*t^5.478 + t^5.565 + 2*t^5.739 + t^5.912 - t^6. - t^4.391/y - t^4.391*y | detail |