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 |
---|---|---|---|---|---|---|---|---|---|
51105 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.6337 | 0.7854 | 0.8068 | [M:[0.8211, 0.7509, 1.1789, 0.7509, 1.214, 0.8211], q:[0.8035, 0.3754], qb:[0.4456, 0.8035], phi:[0.393]] | [M:[[6], [-14], [-6], [-14], [4], [6]], q:[[1], [-7]], qb:[[13], [1]], phi:[[-2]]] | 1 | {a: 68629/108300, c: 21266/27075, M1: 78/95, M2: 214/285, M3: 112/95, M4: 214/285, M5: 346/285, M6: 78/95, q1: 229/285, q2: 107/285, qb1: 127/285, qb2: 229/285, phi1: 112/285} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}M_{6}q_{2}\tilde{q}_{2}$ | -1 | 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. + 4*t^6.105 - t^6.211 + 2*t^6.316 + 4*t^6.758 + t^6.863 + 6*t^6.968 + 2*t^7.074 + 4*t^7.179 + t^7.284 + 2*t^7.389 + t^7.495 + t^7.705 + 3*t^7.937 + t^8.042 + 6*t^8.147 - 4*t^8.253 + 6*t^8.358 - 5*t^8.463 + 4*t^8.568 - 2*t^8.674 + 3*t^8.779 - t^4.179/y - (2*t^6.432)/y - t^6.642/y + t^7.505/y + (5*t^7.716)/y + (3*t^7.926)/y - t^8.684/y + (2*t^8.789)/y + (4*t^8.895)/y - t^4.179*y - 2*t^6.432*y - t^6.642*y + t^7.505*y + 5*t^7.716*y + 3*t^7.926*y - t^8.684*y + 2*t^8.789*y + 4*t^8.895*y | (2*t^2.253)/g1^14 + 2*g1^6*t^2.463 + t^3.432/g1^16 + t^3.537/g1^6 + 2*g1^4*t^3.642 + g1^24*t^3.853 + (3*t^4.505)/g1^28 + (4*t^4.716)/g1^8 + g1^2*t^4.821 + 3*g1^12*t^4.926 + (2*t^5.684)/g1^30 + t^5.789/g1^20 + (4*t^5.895)/g1^10 - t^6. + 4*g1^10*t^6.105 - g1^20*t^6.211 + 2*g1^30*t^6.316 + (4*t^6.758)/g1^42 + t^6.863/g1^32 + (6*t^6.968)/g1^22 + (2*t^7.074)/g1^12 + (4*t^7.179)/g1^2 + g1^8*t^7.284 + 2*g1^18*t^7.389 + g1^28*t^7.495 + g1^48*t^7.705 + (3*t^7.937)/g1^44 + t^8.042/g1^34 + (6*t^8.147)/g1^24 - (4*t^8.253)/g1^14 + (6*t^8.358)/g1^4 - 5*g1^6*t^8.463 + 4*g1^16*t^8.568 - 2*g1^26*t^8.674 + 3*g1^36*t^8.779 - t^4.179/(g1^2*y) - (2*t^6.432)/(g1^16*y) - (g1^4*t^6.642)/y + t^7.505/(g1^28*y) + (5*t^7.716)/(g1^8*y) + (3*g1^12*t^7.926)/y - t^8.684/(g1^30*y) + (2*t^8.789)/(g1^20*y) + (4*t^8.895)/(g1^10*y) - (t^4.179*y)/g1^2 - (2*t^6.432*y)/g1^16 - g1^4*t^6.642*y + (t^7.505*y)/g1^28 + (5*t^7.716*y)/g1^8 + 3*g1^12*t^7.926*y - (t^8.684*y)/g1^30 + (2*t^8.789*y)/g1^20 + (4*t^8.895*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 |
---|---|---|---|---|---|---|---|---|
56244 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6541 | 0.825 | 0.7928 | [M:[0.8252, 0.7412, 1.1748, 0.7412, 1.2168, 0.8252, 0.6992], q:[0.8042, 0.3706], qb:[0.4546, 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 |
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 |
---|---|---|---|---|---|---|---|---|---|
48134 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6187 | 0.7598 | 0.8142 | [M:[0.8251, 0.7414, 1.1749, 0.7414, 1.2167], q:[0.8042, 0.3707], qb:[0.4544, 0.8042], phi:[0.3916]] | 2*t^2.224 + t^2.475 + t^3.399 + 2*t^3.525 + 2*t^3.65 + t^3.901 + 3*t^4.449 + 2*t^4.7 + t^4.825 + t^4.951 + 2*t^5.623 + 3*t^5.749 + 3*t^5.874 - t^6. - t^4.175/y - t^4.175*y | detail |