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 |
|---|---|---|---|---|---|---|---|---|---|
| 48120 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{2}$ | 0.639 | 0.7917 | 0.8072 | [X:[1.6191, 1.3335], M:[0.3809, 0.6665, 1.1428, 0.8572, 0.7619, 0.7002], q:[0.8741, 0.745], qb:[0.4594, 0.3978], phi:[0.3809]] | [X:[[0, 1], [0, 7]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [0, -2], [2, -5]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.101 + 2*t^2.286 + t^2.572 + t^3.428 + t^3.53 + t^3.613 + t^3.816 + t^4. + t^4.201 + 2*t^4.386 + 3*t^4.571 + t^4.672 + 3*t^4.857 + t^5.143 + t^5.529 + t^5.63 + 2*t^5.714 + t^5.815 + t^5.899 + t^5.916 - 2*t^6. + 3*t^6.101 + t^6.286 + t^6.302 + t^6.387 + 2*t^6.487 + t^6.572 + 3*t^6.672 + t^6.773 + 4*t^6.857 + 3*t^6.958 + t^7.059 + 3*t^7.143 + t^7.227 - 2*t^7.328 + t^7.345 + t^7.429 + t^7.63 + t^7.631 + t^7.731 + 2*t^7.815 + t^7.816 + t^7.916 + 2*t^8. + t^8.001 + t^8.017 - t^8.101 + t^8.184 + 3*t^8.202 - 4*t^8.286 + 3*t^8.387 + t^8.403 - t^8.47 + t^8.488 - 3*t^8.572 + 2*t^8.588 + 3*t^8.673 - t^8.756 + 3*t^8.773 + t^8.858 + t^8.874 + 4*t^8.958 + t^8.959 - t^4.143/y - t^6.244/y - (2*t^6.428)/y + (2*t^7.386)/y + t^7.571/y + t^7.672/y + (4*t^7.857)/y + t^8.042/y - t^8.344/y - t^8.529/y + t^8.63/y + (2*t^8.815)/y + (2*t^8.899)/y + t^8.916/y - t^4.143*y - t^6.244*y - 2*t^6.428*y + 2*t^7.386*y + t^7.571*y + t^7.672*y + 4*t^7.857*y + t^8.042*y - t^8.344*y - t^8.529*y + t^8.63*y + 2*t^8.815*y + 2*t^8.899*y + t^8.916*y | (g1^2*t^2.101)/g2^5 + (2*t^2.286)/g2^2 + g2^3*t^2.572 + t^3.428/g2^3 + (g1^2*t^3.53)/g2 + t^3.613/g1^2 + g1^2*g2^4*t^3.816 + g2^7*t^4. + (g1^4*t^4.201)/g2^10 + (2*g1^2*t^4.386)/g2^7 + (3*t^4.571)/g2^4 + (g1^2*t^4.672)/g2^2 + 3*g2*t^4.857 + g2^6*t^5.143 + (g1^2*t^5.529)/g2^8 + (g1^4*t^5.63)/g2^6 + (2*t^5.714)/g2^5 + (g1^2*t^5.815)/g2^3 + t^5.899/(g1^2*g2^2) + (g1^4*t^5.916)/g2 - 2*t^6. + 3*g1^2*g2^2*t^6.101 + g2^5*t^6.286 + (g1^6*t^6.302)/g2^15 + g1^2*g2^7*t^6.387 + (2*g1^4*t^6.487)/g2^12 + g2^10*t^6.572 + (3*g1^2*t^6.672)/g2^9 + (g1^4*t^6.773)/g2^7 + (4*t^6.857)/g2^6 + (3*g1^2*t^6.958)/g2^4 + (g1^4*t^7.059)/g2^2 + (3*t^7.143)/g2 + t^7.227/g1^4 - (2*g2^2*t^7.328)/g1^2 + g1^4*g2^3*t^7.345 + g2^4*t^7.429 + (g1^4*t^7.63)/g2^13 + g1^4*g2^8*t^7.631 + (g1^6*t^7.731)/g2^11 + (2*g1^2*t^7.815)/g2^10 + g1^2*g2^11*t^7.816 + (g1^4*t^7.916)/g2^8 + (2*t^8.)/g2^7 + g2^14*t^8.001 + (g1^6*t^8.017)/g2^6 - (g1^2*t^8.101)/g2^5 + t^8.184/(g1^2*g2^4) + (3*g1^4*t^8.202)/g2^3 - (4*t^8.286)/g2^2 + 3*g1^2*t^8.387 + (g1^8*t^8.403)/g2^20 - (g2*t^8.47)/g1^2 + g1^4*g2^2*t^8.488 - 3*g2^3*t^8.572 + (2*g1^6*t^8.588)/g2^17 + 3*g1^2*g2^5*t^8.673 - (g2^6*t^8.756)/g1^2 + (3*g1^4*t^8.773)/g2^14 + g2^8*t^8.858 + (g1^6*t^8.874)/g2^12 + (4*g1^2*t^8.958)/g2^11 + g1^2*g2^10*t^8.959 - t^4.143/(g2*y) - (g1^2*t^6.244)/(g2^6*y) - (2*t^6.428)/(g2^3*y) + (2*g1^2*t^7.386)/(g2^7*y) + t^7.571/(g2^4*y) + (g1^2*t^7.672)/(g2^2*y) + (4*g2*t^7.857)/y + (g2^4*t^8.042)/(g1^2*y) - (g1^4*t^8.344)/(g2^11*y) - (g1^2*t^8.529)/(g2^8*y) + (g1^4*t^8.63)/(g2^6*y) + (2*g1^2*t^8.815)/(g2^3*y) + (2*t^8.899)/(g1^2*g2^2*y) + (g1^4*t^8.916)/(g2*y) - (t^4.143*y)/g2 - (g1^2*t^6.244*y)/g2^6 - (2*t^6.428*y)/g2^3 + (2*g1^2*t^7.386*y)/g2^7 + (t^7.571*y)/g2^4 + (g1^2*t^7.672*y)/g2^2 + 4*g2*t^7.857*y + (g2^4*t^8.042*y)/g1^2 - (g1^4*t^8.344*y)/g2^11 - (g1^2*t^8.529*y)/g2^8 + (g1^4*t^8.63*y)/g2^6 + (2*g1^2*t^8.815*y)/g2^3 + (2*t^8.899*y)/(g1^2*g2^2) + (g1^4*t^8.916*y)/g2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55562 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{3}M_{7}$ | 0.6522 | 0.8146 | 0.8006 | [X:[1.614, 1.2982], M:[0.386, 0.7018, 1.1579, 0.8421, 0.7719, 0.7168, 0.8421], q:[0.8496, 0.7644], qb:[0.4486, 0.3935], phi:[0.386]] | t^2.151 + 2*t^2.316 + 2*t^2.526 + t^3.519 + t^3.639 + t^3.729 + t^3.895 + t^4.301 + 2*t^4.466 + 3*t^4.632 + 2*t^4.677 + 5*t^4.842 + 3*t^5.052 + t^5.669 + t^5.835 + t^5.88 + t^5.955 - 3*t^6. - t^4.158/y - t^4.158*y | detail | |
| 55587 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6389 | 0.7907 | 0.808 | [X:[1.6197, 1.3382], M:[0.3803, 0.6618, 1.1408, 0.8592, 0.7605, 0.7111], q:[0.8839, 0.7358], qb:[0.4543, 0.4049], phi:[0.3803]] | t^2.133 + 2*t^2.282 + t^2.578 + t^3.422 + 2*t^3.57 + t^3.867 + t^4.015 + t^4.267 + 2*t^4.415 + 3*t^4.563 + t^4.711 + 3*t^4.859 + t^5.155 + t^5.556 + 3*t^5.704 + 2*t^5.852 - t^6. - t^4.141/y - t^4.141*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46532 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6395 | 0.7939 | 0.8055 | [X:[1.6178], M:[0.3822, 0.6756, 1.1467, 0.8533, 0.7645], q:[0.8755, 0.7423], qb:[0.4489, 0.4044], phi:[0.3822]] | t^2.027 + 2*t^2.293 + t^2.56 + t^3.44 + 2*t^3.573 + 2*t^3.84 + t^4.054 + 2*t^4.32 + 4*t^4.587 + 3*t^4.853 + t^5.12 + t^5.467 + 2*t^5.6 + t^5.733 + 4*t^5.867 - 2*t^6. - t^4.147/y - t^4.147*y | detail |