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 |
---|---|---|---|---|---|---|---|---|---|
4101 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{7}$ | 0.5706 | 0.712 | 0.8013 | [M:[1.2632, 1.1579, 0.9474, 0.7368, 0.7368, 0.9474, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 62619/109744, c: 39071/54872, M1: 24/19, M2: 22/19, M3: 18/19, M4: 14/19, M5: 14/19, M6: 18/19, M7: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}M_{3}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 1 | 2*t^2.211 + 2*t^2.842 + t^3.158 + 2*t^3.474 + t^3.789 + t^4.105 + 3*t^4.421 + t^4.737 + 4*t^5.053 + t^5.368 + 5*t^5.684 + t^6. + 4*t^6.316 + 4*t^6.632 + 3*t^6.947 + 5*t^7.263 + 2*t^7.579 + 7*t^7.895 + 6*t^8.526 - t^4.263/y - t^6.474/y - t^7.105/y + (2*t^7.421)/y + (5*t^8.053)/y + (2*t^8.368)/y + (4*t^8.684)/y - t^4.263*y - t^6.474*y - t^7.105*y + 2*t^7.421*y + 5*t^8.053*y + 2*t^8.368*y + 4*t^8.684*y | 2*t^2.211 + 2*t^2.842 + t^3.158 + 2*t^3.474 + t^3.789 + t^4.105 + 3*t^4.421 + t^4.737 + 4*t^5.053 + t^5.368 + 5*t^5.684 + t^6. + 4*t^6.316 + 4*t^6.632 + 3*t^6.947 + 5*t^7.263 + 2*t^7.579 + 7*t^7.895 + 6*t^8.526 - t^4.263/y - t^6.474/y - t^7.105/y + (2*t^7.421)/y + (5*t^8.053)/y + (2*t^8.368)/y + (4*t^8.684)/y - t^4.263*y - t^6.474*y - t^7.105*y + 2*t^7.421*y + 5*t^8.053*y + 2*t^8.368*y + 4*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 |
---|---|---|---|---|---|---|---|---|
5625 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{8}$ | 0.5901 | 0.748 | 0.7889 | [M:[1.2632, 1.1579, 0.9474, 0.7368, 0.7368, 0.9474, 1.0526, 0.7368], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 3*t^2.211 + 2*t^2.842 + t^3.158 + 2*t^3.474 + t^4.105 + 6*t^4.421 + t^4.737 + 6*t^5.053 + 2*t^5.368 + 7*t^5.684 - t^6. - t^4.263/y - t^4.263*y | detail | {a: 16191/27436, c: 20523/27436, M1: 24/19, M2: 22/19, M3: 18/19, M4: 14/19, M5: 14/19, M6: 18/19, M7: 20/19, M8: 14/19, q1: 15/19, q2: 5/19, qb1: 9/19, 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 |
---|---|---|---|---|---|---|---|---|---|
2118 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6541 | 0.825 | 0.7928 | [M:[1.1748, 1.2168, 0.7412, 0.8252, 0.8252, 0.7412, 0.6992], q:[0.8042, 0.4546], qb:[0.3706, 0.8042], phi:[0.3916]] | t^2.098 + 2*t^2.224 + 2*t^2.476 + t^3.398 + t^3.524 + 2*t^3.65 + t^4.195 + 2*t^4.321 + 3*t^4.447 + 2*t^4.573 + 4*t^4.699 + t^4.825 + 3*t^4.951 + t^5.496 + 3*t^5.622 + 3*t^5.748 + 4*t^5.874 - t^6. - t^4.175/y - t^4.175*y | detail |