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 |
|---|---|---|---|---|---|---|---|---|---|
| 46349 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ | 0.6342 | 0.7835 | 0.8094 | [M:[1.1666, 0.722, 0.8334, 0.8334], q:[0.4167, 0.4167], qb:[0.8613, 0.7498], phi:[0.3889]] | [M:[[6], [14], [-6], [-6]], q:[[-3], [-3]], qb:[[-11], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}M_{1}M_{4}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1 | t^2.166 + t^2.333 + 2*t^2.5 + t^3.5 + 3*t^3.667 + t^3.834 + t^4.332 + t^4.499 + 3*t^4.666 + 3*t^4.833 + 3*t^5.001 + t^5.666 + 2*t^5.833 + t^6. + 5*t^6.167 + 2*t^6.334 + t^6.498 + t^6.665 + 3*t^6.832 + 3*t^6.999 + 3*t^7.167 + 5*t^7.334 + 5*t^7.501 + t^7.668 + t^7.831 + 2*t^7.999 + t^8.333 - t^8.5 + t^8.663 + 6*t^8.668 + t^8.831 + 3*t^8.835 + 3*t^8.998 - t^4.167/y - t^6.332/y - t^6.5/y - t^6.667/y + t^7.499/y + (3*t^7.666)/y + (3*t^7.833)/y + (2*t^8.001)/y - t^8.498/y + (2*t^8.833)/y - t^4.167*y - t^6.332*y - t^6.5*y - t^6.667*y + t^7.499*y + 3*t^7.666*y + 3*t^7.833*y + 2*t^8.001*y - t^8.498*y + 2*t^8.833*y | g1^14*t^2.166 + g1^4*t^2.333 + (2*t^2.5)/g1^6 + g1^6*t^3.5 + (3*t^3.667)/g1^4 + t^3.834/g1^14 + g1^28*t^4.332 + g1^18*t^4.499 + 3*g1^8*t^4.666 + (3*t^4.833)/g1^2 + (3*t^5.001)/g1^12 + g1^20*t^5.666 + 2*g1^10*t^5.833 + t^6. + (5*t^6.167)/g1^10 + (2*t^6.334)/g1^20 + g1^42*t^6.498 + g1^32*t^6.665 + 3*g1^22*t^6.832 + 3*g1^12*t^6.999 + 3*g1^2*t^7.167 + (5*t^7.334)/g1^8 + (5*t^7.501)/g1^18 + t^7.668/g1^28 + g1^34*t^7.831 + 2*g1^24*t^7.999 + g1^4*t^8.333 - t^8.5/g1^6 + g1^56*t^8.663 + (6*t^8.668)/g1^16 + g1^46*t^8.831 + (3*t^8.835)/g1^26 + 3*g1^36*t^8.998 - (g1^2*t^4.167)/y - (g1^16*t^6.332)/y - (g1^6*t^6.5)/y - t^6.667/(g1^4*y) + (g1^18*t^7.499)/y + (3*g1^8*t^7.666)/y + (3*t^7.833)/(g1^2*y) + (2*t^8.001)/(g1^12*y) - (g1^30*t^8.498)/y + (2*g1^10*t^8.833)/y - g1^2*t^4.167*y - g1^16*t^6.332*y - g1^6*t^6.5*y - (t^6.667*y)/g1^4 + g1^18*t^7.499*y + 3*g1^8*t^7.666*y + (3*t^7.833*y)/g1^2 + (2*t^8.001*y)/g1^12 - g1^30*t^8.498*y + 2*g1^10*t^8.833*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 |
|---|---|---|---|---|---|---|---|---|
| 48303 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{1}M_{5}$ | 0.6488 | 0.8093 | 0.8017 | [M:[1.1755, 0.7428, 0.8245, 0.8245, 0.8245], q:[0.4123, 0.4123], qb:[0.845, 0.7632], phi:[0.3918]] | t^2.228 + t^2.351 + 3*t^2.474 + 3*t^3.649 + t^3.772 + t^4.457 + t^4.579 + 4*t^4.702 + 4*t^4.825 + 6*t^4.947 + t^5.877 - t^6. - t^4.175/y - t^4.175*y | detail | |
| 48179 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.5827 | 0.7345 | 0.7934 | [M:[1.2857, 1.0, 0.7143, 0.7143], q:[0.3571, 0.3571], qb:[0.6429, 0.9286], phi:[0.4286]] | 2*t^2.143 + t^2.571 + 2*t^3. + 3*t^3.429 + t^3.857 + 3*t^4.286 + 3*t^4.714 + 5*t^5.143 + 6*t^5.571 + 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 1599/2744, c: 4031/5488, M1: 9/7, M2: 1, M3: 5/7, M4: 5/7, q1: 5/14, q2: 5/14, qb1: 9/14, qb2: 13/14, phi1: 3/7} |
| 46937 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.652 | 0.8153 | 0.7997 | [M:[1.1621, 0.7116, 0.8379, 0.8379, 0.7747], q:[0.4189, 0.4189], qb:[0.8694, 0.7432], phi:[0.3874]] | t^2.135 + 2*t^2.324 + 2*t^2.514 + t^3.486 + 2*t^3.676 + t^3.865 + t^4.27 + 2*t^4.459 + 5*t^4.648 + 5*t^4.838 + 3*t^5.027 + t^5.621 + 2*t^5.811 + 2*t^6. - t^4.162/y - t^4.162*y | detail | |
| 46884 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6165 | 0.7522 | 0.8196 | [M:[1.1712, 0.7328, 0.8288, 0.8288, 1.2192], q:[0.4144, 0.4144], qb:[0.8528, 0.7568], phi:[0.3904]] | t^2.198 + 2*t^2.486 + t^3.514 + 4*t^3.658 + t^3.802 + t^4.397 + 2*t^4.685 + t^4.829 + 3*t^4.973 + t^5.712 + 2*t^5.856 - 2*t^6. - t^4.171/y - t^4.171*y | detail | |
| 47029 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6544 | 0.8219 | 0.7962 | [M:[1.1601, 0.7069, 0.8399, 0.8399, 0.7069], q:[0.42, 0.42], qb:[0.8732, 0.7401], phi:[0.3867]] | 2*t^2.121 + t^2.32 + 2*t^2.52 + t^3.48 + 3*t^3.68 + 3*t^4.241 + 2*t^4.441 + 5*t^4.64 + 3*t^4.84 + 3*t^5.039 + 2*t^5.601 + 5*t^5.8 - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46225 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6366 | 0.7855 | 0.8105 | [M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.293 + t^2.376 + t^2.56 + t^3.44 + t^3.522 + t^3.707 + t^3.892 + t^3.974 + t^4.421 + t^4.503 + 2*t^4.586 + t^4.669 + t^4.751 + t^4.771 + 2*t^4.853 + t^4.936 + t^5.121 + t^5.65 + t^5.733 + t^5.815 + t^5.898 - t^6. - t^4.147/y - t^4.147*y | detail |