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 |
---|---|---|---|---|---|---|---|---|---|
46081 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6075 | 0.749 | 0.8111 | [M:[1.0, 0.8389, 0.7355], q:[0.845, 0.7872], qb:[0.3161, 0.5806], phi:[0.3678]] | [M:[[0], [-10], [-4]], q:[[9], [-7]], qb:[[1], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | 2*t^2.207 + t^2.517 + t^2.69 + t^3. + t^3.31 + t^4.103 + t^4.277 + 3*t^4.413 + t^4.587 + 2*t^4.723 + 3*t^4.897 + t^5.033 + 2*t^5.207 + t^5.38 + 2*t^5.517 + t^5.827 - t^6. + t^6.31 + t^6.483 + 5*t^6.62 + t^6.793 + 3*t^6.93 + t^6.967 + 4*t^7.103 + 2*t^7.24 + t^7.277 + 4*t^7.413 + t^7.55 + t^7.587 + 3*t^7.723 - t^7.897 + 2*t^8.033 - 2*t^8.207 + t^8.343 - t^8.38 - t^8.517 + t^8.553 - 2*t^8.69 + 6*t^8.827 + t^8.863 - t^4.103/y - (2*t^6.31)/y - t^6.62/y + t^7.413/y + t^7.587/y + (2*t^7.723)/y + (4*t^7.897)/y + (3*t^8.207)/y + t^8.69/y - t^8.827/y - t^4.103*y - 2*t^6.31*y - t^6.62*y + t^7.413*y + t^7.587*y + 2*t^7.723*y + 4*t^7.897*y + 3*t^8.207*y + t^8.69*y - t^8.827*y | (2*t^2.207)/g1^4 + t^2.517/g1^10 + g1^6*t^2.69 + t^3. + t^3.31/g1^6 + t^4.103/g1^2 + g1^14*t^4.277 + (3*t^4.413)/g1^8 + g1^8*t^4.587 + (2*t^4.723)/g1^14 + 3*g1^2*t^4.897 + t^5.033/g1^20 + (2*t^5.207)/g1^4 + g1^12*t^5.38 + (2*t^5.517)/g1^10 + t^5.827/g1^16 - t^6. + t^6.31/g1^6 + g1^10*t^6.483 + (5*t^6.62)/g1^12 + g1^4*t^6.793 + (3*t^6.93)/g1^18 + g1^20*t^6.967 + (4*t^7.103)/g1^2 + (2*t^7.24)/g1^24 + g1^14*t^7.277 + (4*t^7.413)/g1^8 + t^7.55/g1^30 + g1^8*t^7.587 + (3*t^7.723)/g1^14 - g1^2*t^7.897 + (2*t^8.033)/g1^20 - (2*t^8.207)/g1^4 + t^8.343/g1^26 - g1^12*t^8.38 - t^8.517/g1^10 + g1^28*t^8.553 - 2*g1^6*t^8.69 + (6*t^8.827)/g1^16 + g1^22*t^8.863 - t^4.103/(g1^2*y) - (2*t^6.31)/(g1^6*y) - t^6.62/(g1^12*y) + t^7.413/(g1^8*y) + (g1^8*t^7.587)/y + (2*t^7.723)/(g1^14*y) + (4*g1^2*t^7.897)/y + (3*t^8.207)/(g1^4*y) + (g1^6*t^8.69)/y - t^8.827/(g1^16*y) - (t^4.103*y)/g1^2 - (2*t^6.31*y)/g1^6 - (t^6.62*y)/g1^12 + (t^7.413*y)/g1^8 + g1^8*t^7.587*y + (2*t^7.723*y)/g1^14 + 4*g1^2*t^7.897*y + (3*t^8.207*y)/g1^4 + g1^6*t^8.69*y - (t^8.827*y)/g1^16 |
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 |
---|---|---|---|---|---|---|---|---|
46750 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6176 | 0.766 | 0.8063 | [M:[1.0, 0.869, 0.7476, 0.8786], q:[0.8179, 0.8083], qb:[0.3131, 0.5655], phi:[0.3738]] | 2*t^2.243 + t^2.607 + 2*t^2.636 + t^3. + t^4.121 + t^4.15 + 3*t^4.485 + t^4.515 + 2*t^4.85 + 5*t^4.879 + t^5.214 + 3*t^5.243 + 3*t^5.272 + t^5.636 - 2*t^6. - t^4.121/y - t^4.121*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 |
---|---|---|---|---|---|---|---|---|---|
46042 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.588 | 0.713 | 0.8247 | [M:[1.0, 0.8478], q:[0.837, 0.7935], qb:[0.3152, 0.5761], phi:[0.3696]] | t^2.217 + t^2.543 + t^2.674 + t^3. + t^3.326 + t^3.783 + t^4.109 + t^4.239 + t^4.435 + t^4.565 + t^4.761 + 2*t^4.891 + t^5.087 + t^5.217 + t^5.348 + t^5.543 + t^5.87 - t^4.109/y - t^4.109*y | detail | {a: 1731/2944, c: 2099/2944, M1: 1, M2: 39/46, q1: 77/92, q2: 73/92, qb1: 29/92, qb2: 53/92, phi1: 17/46} |