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 |
---|---|---|---|---|---|---|---|---|---|
777 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ | 0.543 | 0.6484 | 0.8375 | [X:[1.6571, 1.3141], M:[1.0, 0.3429, 0.7147, 1.0288, 0.9712], q:[0.6859, 0.9712], qb:[0.3141, 0.6571], phi:[0.3429]] | [X:[[1], [2]], M:[[0], [-1], [-5], [-3], [3]], q:[[-2], [3]], qb:[[2], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.144 + 2*t^2.914 + t^3. + 2*t^3.942 + t^4.029 + t^4.288 + t^4.885 + t^4.971 + t^5.058 + t^5.144 + 3*t^5.827 + t^5.914 - 3*t^6. + t^6.173 + t^6.432 + 3*t^6.856 + t^6.942 - t^7.029 + t^7.202 + t^7.288 + t^7.798 + 2*t^7.885 + t^7.971 + 2*t^8.058 - 2*t^8.144 + t^8.317 + t^8.576 + 4*t^8.741 + t^8.827 - 5*t^8.914 - t^4.029/y - t^6.173/y + t^7.885/y + (2*t^8.058)/y + t^8.144/y - t^8.317/y + t^8.827/y + (2*t^8.914)/y - t^4.029*y - t^6.173*y + t^7.885*y + 2*t^8.058*y + t^8.144*y - t^8.317*y + t^8.827*y + 2*t^8.914*y | t^2.144/g1^5 + 2*g1^3*t^2.914 + t^3. + 2*g1^2*t^3.942 + t^4.029/g1 + t^4.288/g1^10 + g1^4*t^4.885 + g1*t^4.971 + t^5.058/g1^2 + t^5.144/g1^5 + 3*g1^6*t^5.827 + g1^3*t^5.914 - 3*t^6. + t^6.173/g1^6 + t^6.432/g1^15 + 3*g1^5*t^6.856 + g1^2*t^6.942 - t^7.029/g1 + t^7.202/g1^7 + t^7.288/g1^10 + g1^7*t^7.798 + 2*g1^4*t^7.885 + g1*t^7.971 + (2*t^8.058)/g1^2 - (2*t^8.144)/g1^5 + t^8.317/g1^11 + t^8.576/g1^20 + 4*g1^9*t^8.741 + g1^6*t^8.827 - 5*g1^3*t^8.914 - t^4.029/(g1*y) - t^6.173/(g1^6*y) + (g1^4*t^7.885)/y + (2*t^8.058)/(g1^2*y) + t^8.144/(g1^5*y) - t^8.317/(g1^11*y) + (g1^6*t^8.827)/y + (2*g1^3*t^8.914)/y - (t^4.029*y)/g1 - (t^6.173*y)/g1^6 + g1^4*t^7.885*y + (2*t^8.058*y)/g1^2 + (t^8.144*y)/g1^5 - (t^8.317*y)/g1^11 + g1^6*t^8.827*y + 2*g1^3*t^8.914*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 |
---|---|---|---|---|---|---|---|---|
1263 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5637 | 0.6887 | 0.8185 | [X:[1.6577, 1.3155], M:[1.0, 0.3423, 0.7113, 1.0268, 0.9732, 0.6845], q:[0.6845, 0.9732], qb:[0.3155, 0.6577], phi:[0.3423]] | t^2.054 + t^2.134 + 2*t^2.92 + t^3. + t^3.946 + t^4.027 + t^4.107 + t^4.187 + t^4.268 + t^4.893 + 3*t^4.973 + 2*t^5.054 + t^5.134 + 3*t^5.839 + t^5.92 - 2*t^6. - t^4.027/y - t^4.027*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 |
---|---|---|---|---|---|---|---|---|---|
487 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ + ${ }M_{4}M_{5}$ | 0.5731 | 0.6732 | 0.8513 | [X:[1.6989, 1.3978], M:[0.7527, 0.3011, 0.7527, 0.9032, 1.0968], q:[0.8495, 0.8495], qb:[0.3978, 0.6989], phi:[0.3011]] | 2*t^2.258 + 2*t^3.29 + 2*t^4.194 + 3*t^4.516 + 2*t^4.645 + t^5.097 + 2*t^5.548 - 4*t^6. - t^3.903/y - t^3.903*y | detail | {a: 26435/46128, c: 15527/23064, X1: 158/93, X2: 130/93, M1: 70/93, M2: 28/93, M3: 70/93, M4: 28/31, M5: 34/31, q1: 79/93, q2: 79/93, qb1: 37/93, qb2: 65/93, phi1: 28/93} |