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 |
---|---|---|---|---|---|---|---|---|---|
1203 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{6}$ | 0.6662 | 0.8424 | 0.7908 | [M:[1.1807, 0.7549, 0.8193, 0.8193, 0.7549, 0.8193], q:[0.8032, 0.4418], qb:[0.3775, 0.8032], phi:[0.3936]] | [M:[[-6], [-14], [6], [6], [-14], [6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | -2 | 2*t^2.265 + t^2.361 + 3*t^2.458 + t^3.446 + t^3.639 + t^3.832 + 3*t^4.53 + 2*t^4.626 + 7*t^4.723 + 4*t^4.819 + 6*t^4.916 + 2*t^5.71 + 3*t^5.903 - 2*t^6. + 3*t^6.097 + 3*t^6.29 + 4*t^6.795 + 4*t^6.891 + 10*t^6.988 + 7*t^7.084 + 12*t^7.181 + 6*t^7.277 + 7*t^7.374 + t^7.663 + 3*t^7.975 + 5*t^8.168 - 6*t^8.265 + 2*t^8.361 - 9*t^8.458 + 4*t^8.554 + 6*t^8.748 - t^4.181/y - (2*t^6.446)/y - t^6.542/y - (2*t^6.639)/y + t^7.53/y + (2*t^7.626)/y + (8*t^7.723)/y + (4*t^7.819)/y + (5*t^7.916)/y - t^8.71/y - t^8.807/y - t^4.181*y - 2*t^6.446*y - t^6.542*y - 2*t^6.639*y + t^7.53*y + 2*t^7.626*y + 8*t^7.723*y + 4*t^7.819*y + 5*t^7.916*y - t^8.71*y - t^8.807*y | (2*t^2.265)/g1^14 + t^2.361/g1^4 + 3*g1^6*t^2.458 + t^3.446/g1^16 + g1^4*t^3.639 + g1^24*t^3.832 + (3*t^4.53)/g1^28 + (2*t^4.626)/g1^18 + (7*t^4.723)/g1^8 + 4*g1^2*t^4.819 + 6*g1^12*t^4.916 + (2*t^5.71)/g1^30 + (3*t^5.903)/g1^10 - 2*t^6. + 3*g1^10*t^6.097 + 3*g1^30*t^6.29 + (4*t^6.795)/g1^42 + (4*t^6.891)/g1^32 + (10*t^6.988)/g1^22 + (7*t^7.084)/g1^12 + (12*t^7.181)/g1^2 + 6*g1^8*t^7.277 + 7*g1^18*t^7.374 + g1^48*t^7.663 + (3*t^7.975)/g1^44 + (5*t^8.168)/g1^24 - (6*t^8.265)/g1^14 + (2*t^8.361)/g1^4 - 9*g1^6*t^8.458 + 4*g1^16*t^8.554 + 6*g1^36*t^8.748 - t^4.181/(g1^2*y) - (2*t^6.446)/(g1^16*y) - t^6.542/(g1^6*y) - (2*g1^4*t^6.639)/y + t^7.53/(g1^28*y) + (2*t^7.626)/(g1^18*y) + (8*t^7.723)/(g1^8*y) + (4*g1^2*t^7.819)/y + (5*g1^12*t^7.916)/y - t^8.71/(g1^30*y) - t^8.807/(g1^20*y) - (t^4.181*y)/g1^2 - (2*t^6.446*y)/g1^16 - (t^6.542*y)/g1^6 - 2*g1^4*t^6.639*y + (t^7.53*y)/g1^28 + (2*t^7.626*y)/g1^18 + (8*t^7.723*y)/g1^8 + 4*g1^2*t^7.819*y + 5*g1^12*t^7.916*y - (t^8.71*y)/g1^30 - (t^8.807*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
2262 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6865 | 0.8814 | 0.7788 | [M:[1.1761, 0.7441, 0.8239, 0.8239, 0.7441, 0.8239, 0.7042], q:[0.804, 0.4519], qb:[0.3721, 0.804], phi:[0.392]] | t^2.113 + 2*t^2.232 + t^2.352 + 3*t^2.472 + t^3.408 + t^3.648 + t^4.225 + 2*t^4.345 + 4*t^4.465 + 5*t^4.585 + 7*t^4.704 + 4*t^4.824 + 6*t^4.944 + t^5.521 + 2*t^5.641 + t^5.761 + 3*t^5.88 - 2*t^6. - t^4.176/y - t^4.176*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 |
---|---|---|---|---|---|---|---|---|---|
732 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ | 0.651 | 0.8164 | 0.7974 | [M:[1.1768, 0.7458, 0.8232, 0.8232, 0.7458], q:[0.8039, 0.4503], qb:[0.3729, 0.8039], phi:[0.3923]] | 2*t^2.237 + t^2.354 + 2*t^2.47 + t^3.414 + t^3.53 + t^3.646 + t^3.879 + 3*t^4.475 + 2*t^4.591 + 5*t^4.707 + 3*t^4.823 + 3*t^4.939 + 2*t^5.652 + 2*t^5.768 + 3*t^5.884 - t^4.177/y - t^4.177*y | detail |