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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [M:[[-6], [4], [-14], [6], [6], [-14], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | 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. + 2*t^6.126 - t^6.252 + t^6.293 + 2*t^6.419 + 3*t^6.545 + 6*t^6.671 + 5*t^6.797 + 7*t^6.923 + 5*t^7.049 + 4*t^7.175 + t^7.427 - t^7.553 + t^7.594 + 3*t^7.72 + 6*t^7.846 + 5*t^7.972 + 5*t^8.098 - 2*t^8.224 + 2*t^8.35 + t^8.39 - 5*t^8.476 + 2*t^8.516 + 3*t^8.642 - 3*t^8.728 + 6*t^8.768 + 10*t^8.894 - t^4.175/y - t^6.272/y - (2*t^6.398)/y - t^6.65/y + (2*t^7.321)/y + t^7.447/y + (2*t^7.573)/y + (5*t^7.699)/y + (3*t^7.951)/y + t^8.077/y - t^8.37/y - t^8.496/y + (3*t^8.748)/y + (4*t^8.874)/y - t^4.175*y - t^6.272*y - 2*t^6.398*y - t^6.65*y + 2*t^7.321*y + t^7.447*y + 2*t^7.573*y + 5*t^7.699*y + 3*t^7.951*y + t^8.077*y - t^8.37*y - t^8.496*y + 3*t^8.748*y + 4*t^8.874*y | t^2.098/g1^24 + (2*t^2.224)/g1^14 + 2*g1^6*t^2.476 + t^3.398/g1^16 + t^3.524/g1^6 + 2*g1^4*t^3.65 + t^4.195/g1^48 + (2*t^4.321)/g1^38 + (3*t^4.447)/g1^28 + (2*t^4.573)/g1^18 + (4*t^4.699)/g1^8 + g1^2*t^4.825 + 3*g1^12*t^4.951 + t^5.496/g1^40 + (3*t^5.622)/g1^30 + (3*t^5.748)/g1^20 + (4*t^5.874)/g1^10 - t^6. + 2*g1^10*t^6.126 - g1^20*t^6.252 + t^6.293/g1^72 + (2*t^6.419)/g1^62 + (3*t^6.545)/g1^52 + (6*t^6.671)/g1^42 + (5*t^6.797)/g1^32 + (7*t^6.923)/g1^22 + (5*t^7.049)/g1^12 + (4*t^7.175)/g1^2 + g1^18*t^7.427 - g1^28*t^7.553 + t^7.594/g1^64 + (3*t^7.72)/g1^54 + (6*t^7.846)/g1^44 + (5*t^7.972)/g1^34 + (5*t^8.098)/g1^24 - (2*t^8.224)/g1^14 + (2*t^8.35)/g1^4 + t^8.39/g1^96 - 5*g1^6*t^8.476 + (2*t^8.516)/g1^86 + (3*t^8.642)/g1^76 - 3*g1^26*t^8.728 + (6*t^8.768)/g1^66 + (10*t^8.894)/g1^56 - t^4.175/(g1^2*y) - t^6.272/(g1^26*y) - (2*t^6.398)/(g1^16*y) - (g1^4*t^6.65)/y + (2*t^7.321)/(g1^38*y) + t^7.447/(g1^28*y) + (2*t^7.573)/(g1^18*y) + (5*t^7.699)/(g1^8*y) + (3*g1^12*t^7.951)/y + (g1^22*t^8.077)/y - t^8.37/(g1^50*y) - t^8.496/(g1^40*y) + (3*t^8.748)/(g1^20*y) + (4*t^8.874)/(g1^10*y) - (t^4.175*y)/g1^2 - (t^6.272*y)/g1^26 - (2*t^6.398*y)/g1^16 - g1^4*t^6.65*y + (2*t^7.321*y)/g1^38 + (t^7.447*y)/g1^28 + (2*t^7.573*y)/g1^18 + (5*t^7.699*y)/g1^8 + 3*g1^12*t^7.951*y + g1^22*t^8.077*y - (t^8.37*y)/g1^50 - (t^8.496*y)/g1^40 + (3*t^8.748*y)/g1^20 + (4*t^8.874*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
4102 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$ | 0.6691 | 0.8502 | 0.787 | [M:[1.1775, 1.215, 0.7475, 0.8225, 0.8225, 0.7475, 0.71, 0.8225], q:[0.8037, 0.4487], qb:[0.3738, 0.8037], phi:[0.3925]] | t^2.13 + 2*t^2.243 + 3*t^2.467 + t^3.42 + 2*t^3.645 + t^4.26 + 2*t^4.373 + 3*t^4.485 + 3*t^4.598 + 6*t^4.71 + t^4.822 + 6*t^4.935 + t^5.55 + 2*t^5.663 + t^5.775 + 5*t^5.888 - 3*t^6. - t^4.178/y - t^4.178*y | detail | |
4101 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{7}$ | 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]] | 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. - t^4.263/y - t^4.263*y | detail | {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} |
4100 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ | 0.5921 | 0.738 | 0.8024 | [M:[1.25, 1.1667, 0.9167, 0.75, 0.75, 0.9167, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 2*t^2.25 + 2*t^2.75 + t^3. + 2*t^3.5 + t^3.75 + t^4. + 3*t^4.5 + t^4.75 + 4*t^5. + 2*t^5.25 + 2*t^5.5 + 4*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 1819/3072, c: 2267/3072, M1: 5/4, M2: 7/6, M3: 11/12, M4: 3/4, M5: 3/4, M6: 11/12, M7: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
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 |
---|---|---|---|---|---|---|---|---|---|
1029 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ | 0.6337 | 0.7854 | 0.8068 | [M:[1.1789, 1.214, 0.7509, 0.8211, 0.8211, 0.7509], q:[0.8035, 0.4456], qb:[0.3754, 0.8035], phi:[0.393]] | 2*t^2.253 + 2*t^2.463 + t^3.432 + t^3.537 + 2*t^3.642 + t^3.853 + 3*t^4.505 + 4*t^4.716 + t^4.821 + 3*t^4.926 + 2*t^5.684 + t^5.789 + 4*t^5.895 - t^6. - t^4.179/y - t^4.179*y | detail | {a: 68629/108300, c: 21266/27075, M1: 112/95, M2: 346/285, M3: 214/285, M4: 78/95, M5: 78/95, M6: 214/285, q1: 229/285, q2: 127/285, qb1: 107/285, qb2: 229/285, phi1: 112/285} |