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 |
---|---|---|---|---|---|---|---|---|---|
4588 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5953 | 0.7556 | 0.7879 | [X:[1.572], M:[0.428, 1.2839, 0.7161, 0.9958, 1.0042, 0.9958, 0.7161, 0.8643], q:[0.9301, 0.642], qb:[0.3539, 0.3622], phi:[0.428]] | [X:[[2]], M:[[-2], [-6], [6], [-14], [14], [-14], [6], [24]], q:[[5], [-3]], qb:[[-11], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | 2*t^2.148 + t^2.568 + t^2.593 + 2*t^2.988 + t^3.432 + t^3.457 + t^3.877 + 3*t^4.296 + 3*t^4.716 + 2*t^4.741 + 5*t^5.136 + t^5.161 + t^5.186 + t^5.555 + 3*t^5.58 + 2*t^5.605 + 2*t^5.975 - 2*t^6. + 3*t^6.025 + t^6.05 + 5*t^6.445 + t^6.47 - 2*t^6.839 + 4*t^6.864 + 3*t^6.889 + t^6.914 - t^7.259 + 6*t^7.284 + 2*t^7.309 + 3*t^7.334 + 3*t^7.704 + 4*t^7.729 + 5*t^7.753 + t^7.778 + 4*t^8.123 - 5*t^8.148 + 6*t^8.173 + 2*t^8.198 - 2*t^8.568 + 5*t^8.593 + 3*t^8.618 + t^8.643 + 2*t^8.963 - 9*t^8.988 - t^4.284/y - t^6.432/y - t^6.852/y - t^6.877/y - t^7.271/y + (2*t^7.296)/y + t^7.691/y + (3*t^7.716)/y + (2*t^7.741)/y + (5*t^8.136)/y + t^8.161/y + (2*t^8.555)/y + (3*t^8.58)/y + (2*t^8.605)/y + t^8.975/y - t^4.284*y - t^6.432*y - t^6.852*y - t^6.877*y - t^7.271*y + 2*t^7.296*y + t^7.691*y + 3*t^7.716*y + 2*t^7.741*y + 5*t^8.136*y + t^8.161*y + 2*t^8.555*y + 3*t^8.58*y + 2*t^8.605*y + t^8.975*y | 2*g1^6*t^2.148 + t^2.568/g1^4 + g1^24*t^2.593 + (2*t^2.988)/g1^14 + g1^4*t^3.432 + g1^32*t^3.457 + g1^22*t^3.877 + 3*g1^12*t^4.296 + 3*g1^2*t^4.716 + 2*g1^30*t^4.741 + (5*t^5.136)/g1^8 + g1^20*t^5.161 + g1^48*t^5.186 + t^5.555/g1^18 + 3*g1^10*t^5.58 + 2*g1^38*t^5.605 + (2*t^5.975)/g1^28 - 2*t^6. + 3*g1^28*t^6.025 + g1^56*t^6.05 + 5*g1^18*t^6.445 + g1^46*t^6.47 - (2*t^6.839)/g1^20 + 4*g1^8*t^6.864 + 3*g1^36*t^6.889 + g1^64*t^6.914 - t^7.259/g1^30 + (6*t^7.284)/g1^2 + 2*g1^26*t^7.309 + 3*g1^54*t^7.334 + (3*t^7.704)/g1^12 + 4*g1^16*t^7.729 + 5*g1^44*t^7.753 + g1^72*t^7.778 + (4*t^8.123)/g1^22 - 5*g1^6*t^8.148 + 6*g1^34*t^8.173 + 2*g1^62*t^8.198 - (2*t^8.568)/g1^4 + 5*g1^24*t^8.593 + 3*g1^52*t^8.618 + g1^80*t^8.643 + (2*t^8.963)/g1^42 - (9*t^8.988)/g1^14 - t^4.284/(g1^2*y) - (g1^4*t^6.432)/y - t^6.852/(g1^6*y) - (g1^22*t^6.877)/y - t^7.271/(g1^16*y) + (2*g1^12*t^7.296)/y + t^7.691/(g1^26*y) + (3*g1^2*t^7.716)/y + (2*g1^30*t^7.741)/y + (5*t^8.136)/(g1^8*y) + (g1^20*t^8.161)/y + (2*t^8.555)/(g1^18*y) + (3*g1^10*t^8.58)/y + (2*g1^38*t^8.605)/y + t^8.975/(g1^28*y) - (t^4.284*y)/g1^2 - g1^4*t^6.432*y - (t^6.852*y)/g1^6 - g1^22*t^6.877*y - (t^7.271*y)/g1^16 + 2*g1^12*t^7.296*y + (t^7.691*y)/g1^26 + 3*g1^2*t^7.716*y + 2*g1^30*t^7.741*y + (5*t^8.136*y)/g1^8 + g1^20*t^8.161*y + (2*t^8.555*y)/g1^18 + 3*g1^10*t^8.58*y + 2*g1^38*t^8.605*y + (t^8.975*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|
6110 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6081 | 0.7769 | 0.7827 | [X:[1.5726], M:[0.4274, 1.2822, 0.7178, 0.9918, 1.0082, 0.9918, 0.7178, 0.8711, 0.8548], q:[0.9315, 0.6411], qb:[0.3507, 0.3671], phi:[0.4274]] | 2*t^2.153 + 2*t^2.564 + t^2.613 + 2*t^2.975 + t^3.485 + t^3.896 + 3*t^4.307 + 5*t^4.718 + 2*t^4.767 + 7*t^5.129 + 2*t^5.178 + t^5.227 + 3*t^5.54 + t^5.589 + 2*t^5.638 + 2*t^5.951 - 3*t^6. - t^4.282/y - t^4.282*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 |
---|---|---|---|---|---|---|---|---|---|
2532 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5852 | 0.7367 | 0.7944 | [X:[1.5761], M:[0.4239, 1.2718, 0.7282, 0.9674, 1.0326, 0.9674, 0.7282], q:[0.9402, 0.6359], qb:[0.3315, 0.3967], phi:[0.4239]] | 2*t^2.185 + t^2.544 + 2*t^2.902 + t^3.261 + t^3.456 + t^3.652 + t^4.011 + 3*t^4.369 + 3*t^4.728 + 5*t^5.087 + 3*t^5.446 + t^5.641 + 3*t^5.805 + 2*t^5.837 - 2*t^6. - t^4.272/y - t^4.272*y | detail |