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 |
|---|---|---|---|---|---|---|---|---|---|
| 637 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6406 | 0.8108 | 0.7901 | [M:[1.223, 1.1115, 0.777, 0.8885, 0.777], q:[0.75, 0.4156], qb:[0.3615, 0.473], phi:[0.5]] | [M:[[2], [1], [-2], [-1], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$ | ${}M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | 1 | 2*t^2.331 + t^2.503 + t^2.666 + t^3. + t^3.334 + t^3.497 + t^3.669 + t^3.831 + t^3.993 + t^4.003 + t^4.166 + t^4.338 + 3*t^4.662 + 2*t^4.834 + 2*t^4.997 + t^5.007 + t^5.169 + 3*t^5.331 + t^5.503 + 2*t^5.666 + t^5.828 + t^6. + 2*t^6.162 + 2*t^6.325 + 2*t^6.334 + 3*t^6.497 + t^6.507 + t^6.659 + 3*t^6.669 + t^6.831 + t^6.841 + 5*t^6.993 + t^7.003 + 2*t^7.166 + 3*t^7.328 + 2*t^7.338 + t^7.49 + t^7.5 + t^7.51 + 5*t^7.662 + t^7.672 + t^7.825 + 2*t^7.834 + t^7.987 + 4*t^7.997 + 2*t^8.007 + 2*t^8.159 + t^8.331 + t^8.341 + 2*t^8.493 - t^8.503 + 3*t^8.656 + t^8.675 + 4*t^8.828 + 2*t^8.99 - t^4.5/y - t^6.831/y + t^7.662/y + (2*t^7.834)/y + (2*t^7.997)/y + (2*t^8.169)/y + (2*t^8.331)/y + t^8.503/y + (3*t^8.666)/y + (2*t^8.828)/y + t^8.838/y - t^4.5*y - t^6.831*y + t^7.662*y + 2*t^7.834*y + 2*t^7.997*y + 2*t^8.169*y + 2*t^8.331*y + t^8.503*y + 3*t^8.666*y + 2*t^8.828*y + t^8.838*y | (2*t^2.331)/g1^2 + g1^3*t^2.503 + t^2.666/g1 + t^3. + g1*t^3.334 + t^3.497/g1^3 + g1^2*t^3.669 + t^3.831/g1^2 + t^3.993/g1^6 + g1^3*t^4.003 + t^4.166/g1 + g1^4*t^4.338 + (3*t^4.662)/g1^4 + 2*g1*t^4.834 + (2*t^4.997)/g1^3 + g1^6*t^5.007 + g1^2*t^5.169 + (3*t^5.331)/g1^2 + g1^3*t^5.503 + (2*t^5.666)/g1 + t^5.828/g1^5 + t^6. + (2*t^6.162)/g1^4 + (2*t^6.325)/g1^8 + 2*g1*t^6.334 + (3*t^6.497)/g1^3 + g1^6*t^6.507 + t^6.659/g1^7 + 3*g1^2*t^6.669 + t^6.831/g1^2 + g1^7*t^6.841 + (5*t^6.993)/g1^6 + g1^3*t^7.003 + (2*t^7.166)/g1 + (3*t^7.328)/g1^5 + 2*g1^4*t^7.338 + t^7.49/g1^9 + t^7.5 + g1^9*t^7.51 + (5*t^7.662)/g1^4 + g1^5*t^7.672 + t^7.825/g1^8 + 2*g1*t^7.834 + t^7.987/g1^12 + (4*t^7.997)/g1^3 + 2*g1^6*t^8.007 + (2*t^8.159)/g1^7 + t^8.331/g1^2 + g1^7*t^8.341 + (2*t^8.493)/g1^6 - g1^3*t^8.503 + (3*t^8.656)/g1^10 + g1^8*t^8.675 + (4*t^8.828)/g1^5 + (2*t^8.99)/g1^9 - t^4.5/y - t^6.831/(g1^2*y) + t^7.662/(g1^4*y) + (2*g1*t^7.834)/y + (2*t^7.997)/(g1^3*y) + (2*g1^2*t^8.169)/y + (2*t^8.331)/(g1^2*y) + (g1^3*t^8.503)/y + (3*t^8.666)/(g1*y) + (2*t^8.828)/(g1^5*y) + (g1^4*t^8.838)/y - t^4.5*y - (t^6.831*y)/g1^2 + (t^7.662*y)/g1^4 + 2*g1*t^7.834*y + (2*t^7.997*y)/g1^3 + 2*g1^2*t^8.169*y + (2*t^8.331*y)/g1^2 + g1^3*t^8.503*y + (3*t^8.666*y)/g1 + (2*t^8.828*y)/g1^5 + g1^4*t^8.838*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 |
|---|---|---|---|---|---|---|---|---|
| 1960 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}q_{1}q_{2}$ | 0.6387 | 0.8075 | 0.791 | [M:[1.2, 1.1, 0.8, 0.9, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 6*t^4.8 + 3*t^5.1 + 4*t^5.4 + 2*t^5.7 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 20439/32000, c: 25839/32000, M1: 6/5, M2: 11/10, M3: 4/5, M4: 9/10, M5: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 1014 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6606 | 0.8481 | 0.7789 | [M:[1.2191, 1.1096, 0.7809, 0.8904, 0.7809, 0.7191], q:[0.75, 0.4213], qb:[0.3596, 0.4691], phi:[0.5]] | t^2.157 + 2*t^2.343 + t^2.486 + t^2.671 + t^3. + t^3.329 + t^3.514 + t^3.657 + t^3.986 + t^4.028 + t^4.171 + 2*t^4.315 + 2*t^4.5 + t^4.643 + 3*t^4.685 + 3*t^4.829 + t^4.972 + 2*t^5.014 + 2*t^5.157 + 3*t^5.343 + 2*t^5.486 + 3*t^5.671 + t^5.815 + t^5.857 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 1962 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6585 | 0.8435 | 0.7807 | [M:[1.2298, 1.1149, 0.7702, 0.8851, 0.7702, 0.7702], q:[0.75, 0.4053], qb:[0.3649, 0.4798], phi:[0.5]] | 3*t^2.311 + t^2.534 + t^2.655 + t^3. + t^3.345 + t^3.466 + t^3.811 + t^3.932 + t^4.034 + t^4.155 + t^4.379 + 6*t^4.621 + 3*t^4.845 + 3*t^4.966 + t^5.068 + t^5.189 + 4*t^5.311 + t^5.534 + 3*t^5.655 + 2*t^5.776 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 395 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ | 0.623 | 0.7792 | 0.7995 | [M:[1.2153, 1.1076, 0.7847, 0.8924], q:[0.75, 0.4271], qb:[0.3576, 0.4653], phi:[0.5]] | t^2.354 + t^2.469 + t^2.677 + t^3. + t^3.323 + t^3.531 + 2*t^3.646 + t^3.854 + t^3.969 + t^4.063 + t^4.177 + t^4.292 + t^4.708 + t^4.823 + t^4.937 + t^5.031 + t^5.146 + 2*t^5.354 + t^5.469 + t^5.677 + t^6. - t^4.5/y - t^4.5*y | detail |