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 |
---|---|---|---|---|---|---|---|---|---|
1030 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ | 0.5996 | 0.7246 | 0.8275 | [M:[1.1811, 1.2126, 0.7558, 0.8189, 0.8189, 1.1811], q:[0.8032, 0.4411], qb:[0.3779, 0.8032], phi:[0.3937]] | [M:[[-6], [4], [-14], [6], [6], [-6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.267 + t^2.457 + t^3.448 + 2*t^3.543 + 2*t^3.638 + t^3.733 + t^3.827 + t^4.535 + t^4.724 + t^4.819 + t^4.914 + t^5.716 + t^5.811 + t^5.905 + t^6.095 + t^6.284 + t^6.802 + t^6.897 + 2*t^6.992 + 3*t^7.086 + 2*t^7.181 + 2*t^7.276 + 2*t^7.371 + 2*t^7.465 + t^7.56 + t^7.655 + t^7.983 + t^8.078 + t^8.173 - t^8.267 + t^8.362 - t^8.457 + t^8.741 - t^4.181/y - t^6.448/y + t^7.724/y + t^7.914/y + (2*t^8.811)/y + (3*t^8.905)/y - t^4.181*y - t^6.448*y + t^7.724*y + t^7.914*y + 2*t^8.811*y + 3*t^8.905*y | t^2.267/g1^14 + g1^6*t^2.457 + t^3.448/g1^16 + (2*t^3.543)/g1^6 + 2*g1^4*t^3.638 + g1^14*t^3.733 + g1^24*t^3.827 + t^4.535/g1^28 + t^4.724/g1^8 + g1^2*t^4.819 + g1^12*t^4.914 + t^5.716/g1^30 + t^5.811/g1^20 + t^5.905/g1^10 + g1^10*t^6.095 + g1^30*t^6.284 + t^6.802/g1^42 + t^6.897/g1^32 + (2*t^6.992)/g1^22 + (3*t^7.086)/g1^12 + (2*t^7.181)/g1^2 + 2*g1^8*t^7.276 + 2*g1^18*t^7.371 + 2*g1^28*t^7.465 + g1^38*t^7.56 + g1^48*t^7.655 + t^7.983/g1^44 + t^8.078/g1^34 + t^8.173/g1^24 - t^8.267/g1^14 + t^8.362/g1^4 - g1^6*t^8.457 + g1^36*t^8.741 - t^4.181/(g1^2*y) - t^6.448/(g1^16*y) + t^7.724/(g1^8*y) + (g1^12*t^7.914)/y + (2*t^8.811)/(g1^20*y) + (3*t^8.905)/(g1^10*y) - (t^4.181*y)/g1^2 - (t^6.448*y)/g1^16 + (t^7.724*y)/g1^8 + g1^12*t^7.914*y + (2*t^8.811*y)/g1^20 + (3*t^8.905*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 |
---|---|---|---|---|---|---|---|---|
2117 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6198 | 0.7634 | 0.8119 | [M:[1.1756, 1.2162, 0.7432, 0.8244, 0.8244, 1.1756, 0.7026], q:[0.8041, 0.4528], qb:[0.3716, 0.8041], phi:[0.3919]] | t^2.108 + t^2.23 + t^2.473 + t^3.405 + 2*t^3.527 + 2*t^3.649 + t^3.77 + t^4.216 + t^4.337 + t^4.459 + t^4.581 + t^4.703 + t^4.824 + t^4.946 + t^5.513 + 3*t^5.635 + 3*t^5.756 + 2*t^5.878 - 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 |
---|---|---|---|---|---|---|---|---|---|
647 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.615 | 0.7516 | 0.8183 | [M:[1.1856, 1.2096, 0.7664, 0.8144, 0.8144], q:[0.8024, 0.4312], qb:[0.3832, 0.8024], phi:[0.3952]] | t^2.299 + 2*t^2.443 + t^3.485 + t^3.557 + 2*t^3.629 + t^3.701 + t^3.773 + t^4.599 + 2*t^4.742 + t^4.814 + 3*t^4.886 + t^5.784 + 2*t^5.928 - t^4.186/y - t^4.186*y | detail |