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 |
|---|---|---|---|---|---|---|---|---|---|
| 55947 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6991 | 0.8842 | 0.7907 | [M:[0.8286, 1.0, 1.1714, 0.7903, 0.7238, 0.7621], q:[0.3951, 0.7762], qb:[0.6049, 0.4335], phi:[0.4476]] | [M:[[3], [0], [-3], [-8], [-1], [10]], q:[[-4], [1]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.171 + t^2.286 + t^2.371 + t^2.486 + t^2.685 + t^3. + t^3.115 + t^3.514 + t^3.944 + t^4.143 + 2*t^4.343 + 2*t^4.458 + t^4.542 + t^4.573 + 2*t^4.657 + t^4.742 + t^4.772 + 2*t^4.857 + 3*t^4.972 + t^5.056 + 2*t^5.171 + 2*t^5.286 + t^5.371 + t^5.401 + t^5.486 + t^5.601 + 2*t^5.685 + 2*t^5.8 - t^6. + t^6.115 + 2*t^6.23 + t^6.315 + 2*t^6.43 + 2*t^6.514 + 4*t^6.629 + t^6.714 + 2*t^6.744 + 2*t^6.829 + t^6.859 + t^6.913 + 3*t^6.944 + 3*t^7.028 + 2*t^7.059 + t^7.113 + 4*t^7.143 + t^7.228 + 3*t^7.258 + 3*t^7.343 + t^7.427 + 5*t^7.458 + 2*t^7.542 + 3*t^7.573 + 3*t^7.657 + t^7.688 + t^7.742 + t^7.772 + 2*t^7.857 + 2*t^7.887 + 3*t^7.972 + t^8.056 + 4*t^8.087 - 2*t^8.171 - t^8.371 + 3*t^8.401 + 2*t^8.516 - t^8.57 + 2*t^8.601 + 3*t^8.716 + 3*t^8.8 + 7*t^8.916 - t^4.343/y - t^6.514/y - t^6.629/y - t^6.714/y - t^7.028/y + t^7.458/y + t^7.542/y + (3*t^7.657)/y + t^7.772/y + (2*t^7.857)/y + (2*t^7.972)/y + (2*t^8.056)/y + (3*t^8.171)/y + (2*t^8.286)/y + t^8.371/y + t^8.401/y + (2*t^8.486)/y + t^8.601/y + t^8.685/y + t^8.8/y - t^8.916/y - t^4.343*y - t^6.514*y - t^6.629*y - t^6.714*y - t^7.028*y + t^7.458*y + t^7.542*y + 3*t^7.657*y + t^7.772*y + 2*t^7.857*y + 2*t^7.972*y + 2*t^8.056*y + 3*t^8.171*y + 2*t^8.286*y + t^8.371*y + t^8.401*y + 2*t^8.486*y + t^8.601*y + t^8.685*y + t^8.8*y - t^8.916*y | t^2.171/g1 + g1^10*t^2.286 + t^2.371/g1^8 + g1^3*t^2.486 + t^2.685/g1^4 + t^3. + g1^11*t^3.115 + t^3.514/g1^3 + g1^12*t^3.944 + g1^5*t^4.143 + (2*t^4.343)/g1^2 + 2*g1^9*t^4.458 + t^4.542/g1^9 + g1^20*t^4.573 + 2*g1^2*t^4.657 + t^4.742/g1^16 + g1^13*t^4.772 + (2*t^4.857)/g1^5 + 3*g1^6*t^4.972 + t^5.056/g1^12 + (2*t^5.171)/g1 + 2*g1^10*t^5.286 + t^5.371/g1^8 + g1^21*t^5.401 + g1^3*t^5.486 + g1^14*t^5.601 + (2*t^5.685)/g1^4 + 2*g1^7*t^5.8 - t^6. + g1^11*t^6.115 + 2*g1^22*t^6.23 + g1^4*t^6.315 + 2*g1^15*t^6.43 + (2*t^6.514)/g1^3 + 4*g1^8*t^6.629 + t^6.714/g1^10 + 2*g1^19*t^6.744 + 2*g1*t^6.829 + g1^30*t^6.859 + t^6.913/g1^17 + 3*g1^12*t^6.944 + (3*t^7.028)/g1^6 + 2*g1^23*t^7.059 + t^7.113/g1^24 + 4*g1^5*t^7.143 + t^7.228/g1^13 + 3*g1^16*t^7.258 + (3*t^7.343)/g1^2 + t^7.427/g1^20 + 5*g1^9*t^7.458 + (2*t^7.542)/g1^9 + 3*g1^20*t^7.573 + 3*g1^2*t^7.657 + g1^31*t^7.688 + t^7.742/g1^16 + g1^13*t^7.772 + (2*t^7.857)/g1^5 + 2*g1^24*t^7.887 + 3*g1^6*t^7.972 + t^8.056/g1^12 + 4*g1^17*t^8.087 - (2*t^8.171)/g1 - t^8.371/g1^8 + 3*g1^21*t^8.401 + 2*g1^32*t^8.516 - t^8.57/g1^15 + 2*g1^14*t^8.601 + 3*g1^25*t^8.716 + 3*g1^7*t^8.8 + 7*g1^18*t^8.916 - t^4.343/(g1^2*y) - t^6.514/(g1^3*y) - (g1^8*t^6.629)/y - t^6.714/(g1^10*y) - t^7.028/(g1^6*y) + (g1^9*t^7.458)/y + t^7.542/(g1^9*y) + (3*g1^2*t^7.657)/y + (g1^13*t^7.772)/y + (2*t^7.857)/(g1^5*y) + (2*g1^6*t^7.972)/y + (2*t^8.056)/(g1^12*y) + (3*t^8.171)/(g1*y) + (2*g1^10*t^8.286)/y + t^8.371/(g1^8*y) + (g1^21*t^8.401)/y + (2*g1^3*t^8.486)/y + (g1^14*t^8.601)/y + t^8.685/(g1^4*y) + (g1^7*t^8.8)/y - (g1^18*t^8.916)/y - (t^4.343*y)/g1^2 - (t^6.514*y)/g1^3 - g1^8*t^6.629*y - (t^6.714*y)/g1^10 - (t^7.028*y)/g1^6 + g1^9*t^7.458*y + (t^7.542*y)/g1^9 + 3*g1^2*t^7.657*y + g1^13*t^7.772*y + (2*t^7.857*y)/g1^5 + 2*g1^6*t^7.972*y + (2*t^8.056*y)/g1^12 + (3*t^8.171*y)/g1 + 2*g1^10*t^8.286*y + (t^8.371*y)/g1^8 + g1^21*t^8.401*y + 2*g1^3*t^8.486*y + g1^14*t^8.601*y + (t^8.685*y)/g1^4 + g1^7*t^8.8*y - g1^18*t^8.916*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 |
|---|---|---|---|---|---|---|---|---|
| 57681 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7199 | 0.9247 | 0.7785 | [M:[0.8299, 1.0, 1.1701, 0.787, 0.7234, 0.7662, 0.6805], q:[0.3935, 0.7766], qb:[0.6065, 0.4364], phi:[0.4468]] | t^2.042 + t^2.17 + t^2.299 + t^2.361 + t^2.49 + t^2.681 + t^3. + t^3.129 + t^3.51 + t^4.083 + t^4.149 + t^4.212 + 3*t^4.34 + t^4.403 + 2*t^4.469 + 2*t^4.531 + t^4.597 + 2*t^4.66 + 2*t^4.722 + t^4.788 + 2*t^4.851 + 3*t^4.979 + 2*t^5.042 + 3*t^5.17 + 2*t^5.299 + t^5.361 + t^5.427 + t^5.49 + t^5.552 + t^5.618 + 2*t^5.681 + 2*t^5.809 - t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48195 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6812 | 0.8512 | 0.8002 | [M:[0.8362, 1.0, 1.1638, 0.7701, 0.7213], q:[0.3851, 0.7787], qb:[0.6149, 0.4511], phi:[0.4425]] | t^2.164 + t^2.31 + t^2.509 + t^2.655 + t^3. + t^3.198 + t^3.491 + t^3.638 + t^4.034 + t^4.181 + 2*t^4.328 + t^4.474 + t^4.526 + t^4.621 + t^4.672 + 2*t^4.819 + t^4.966 + 2*t^5.017 + 2*t^5.164 + t^5.31 + t^5.362 + t^5.509 + 2*t^5.655 + t^5.707 + t^5.802 + t^5.853 + t^5.948 - t^6. - t^4.328/y - t^4.328*y | detail |