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 |
|---|---|---|---|---|---|---|---|---|---|
| 4740 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7151 | 0.9177 | 0.7793 | [M:[1.0362, 0.7952, 1.0, 0.8313, 1.1687, 0.7108, 0.8313, 0.6747], q:[0.5663, 0.3976], qb:[0.4337, 0.7711], phi:[0.4578]] | [M:[[-22], [14], [0], [-8], [8], [10], [-8], [32]], q:[[15], [7]], qb:[[-15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | t^2.024 + t^2.133 + t^2.386 + 2*t^2.494 + t^2.747 + t^3. + t^3.108 + t^3.759 + t^4.012 + t^4.048 + t^4.157 + 2*t^4.265 + t^4.373 + t^4.41 + 3*t^4.518 + 2*t^4.627 + 3*t^4.771 + 3*t^4.88 + 3*t^4.988 + t^5.024 + 3*t^5.133 + 3*t^5.241 + t^5.386 + 3*t^5.494 + t^5.602 + t^5.747 + t^5.783 + t^5.855 - 2*t^6. + t^6.036 + t^6.072 + 2*t^6.145 + t^6.181 + t^6.217 + t^6.253 + 2*t^6.289 - t^6.361 + 3*t^6.398 + t^6.434 + 2*t^6.506 + 3*t^6.542 - t^6.614 + 4*t^6.651 + 5*t^6.759 + 3*t^6.795 + t^6.867 + 5*t^6.904 - t^6.976 + 6*t^7.012 + t^7.048 + 3*t^7.12 + 5*t^7.157 - t^7.229 + 8*t^7.265 + 5*t^7.373 + t^7.41 + 3*t^7.482 + 6*t^7.518 + 5*t^7.627 + 3*t^7.735 + 2*t^7.771 + t^7.807 + 3*t^7.88 + 4*t^7.988 - t^8.024 + t^8.06 + 2*t^8.096 - 2*t^8.133 + 2*t^8.169 + t^8.205 + 2*t^8.241 + 2*t^8.277 + 2*t^8.313 + 2*t^8.349 - 4*t^8.386 + 3*t^8.422 + t^8.458 - 5*t^8.494 + 6*t^8.53 + 3*t^8.566 + t^8.602 + 4*t^8.675 + t^8.711 - 3*t^8.747 + 8*t^8.783 + 3*t^8.819 - 2*t^8.855 + 4*t^8.892 + 5*t^8.928 + t^8.964 - t^4.373/y - t^6.398/y - t^6.506/y - t^6.759/y - t^6.867/y - t^7.12/y + t^7.157/y + t^7.265/y + t^7.41/y - t^7.482/y + (3*t^7.518)/y + (3*t^7.627)/y + t^7.771/y + (4*t^7.88)/y + (2*t^7.988)/y + t^8.024/y + (3*t^8.133)/y + (4*t^8.241)/y + t^8.349/y + t^8.386/y - t^8.422/y + (3*t^8.494)/y - t^8.53/y + (2*t^8.602)/y - t^8.639/y + t^8.747/y + t^8.855/y - t^8.892/y - t^4.373*y - t^6.398*y - t^6.506*y - t^6.759*y - t^6.867*y - t^7.12*y + t^7.157*y + t^7.265*y + t^7.41*y - t^7.482*y + 3*t^7.518*y + 3*t^7.627*y + t^7.771*y + 4*t^7.88*y + 2*t^7.988*y + t^8.024*y + 3*t^8.133*y + 4*t^8.241*y + t^8.349*y + t^8.386*y - t^8.422*y + 3*t^8.494*y - t^8.53*y + 2*t^8.602*y - t^8.639*y + t^8.747*y + t^8.855*y - t^8.892*y | g1^32*t^2.024 + g1^10*t^2.133 + g1^14*t^2.386 + (2*t^2.494)/g1^8 + t^2.747/g1^4 + t^3. + t^3.108/g1^22 + g1^12*t^3.759 + g1^16*t^4.012 + g1^64*t^4.048 + g1^42*t^4.157 + 2*g1^20*t^4.265 + t^4.373/g1^2 + g1^46*t^4.41 + 3*g1^24*t^4.518 + 2*g1^2*t^4.627 + 3*g1^28*t^4.771 + 3*g1^6*t^4.88 + (3*t^4.988)/g1^16 + g1^32*t^5.024 + 3*g1^10*t^5.133 + (3*t^5.241)/g1^12 + g1^14*t^5.386 + (3*t^5.494)/g1^8 + t^5.602/g1^30 + t^5.747/g1^4 + g1^44*t^5.783 + t^5.855/g1^26 - 2*t^6. + g1^48*t^6.036 + g1^96*t^6.072 + 2*g1^26*t^6.145 + g1^74*t^6.181 + t^6.217/g1^44 + g1^4*t^6.253 + 2*g1^52*t^6.289 - t^6.361/g1^18 + 3*g1^30*t^6.398 + g1^78*t^6.434 + 2*g1^8*t^6.506 + 3*g1^56*t^6.542 - t^6.614/g1^14 + 4*g1^34*t^6.651 + 5*g1^12*t^6.759 + 3*g1^60*t^6.795 + t^6.867/g1^10 + 5*g1^38*t^6.904 - t^6.976/g1^32 + 6*g1^16*t^7.012 + g1^64*t^7.048 + (3*t^7.12)/g1^6 + 5*g1^42*t^7.157 - t^7.229/g1^28 + 8*g1^20*t^7.265 + (5*t^7.373)/g1^2 + g1^46*t^7.41 + (3*t^7.482)/g1^24 + 6*g1^24*t^7.518 + 5*g1^2*t^7.627 + (3*t^7.735)/g1^20 + 2*g1^28*t^7.771 + g1^76*t^7.807 + 3*g1^6*t^7.88 + (4*t^7.988)/g1^16 - g1^32*t^8.024 + g1^80*t^8.06 + t^8.096/g1^38 + g1^128*t^8.096 - 2*g1^10*t^8.133 + 2*g1^58*t^8.169 + g1^106*t^8.205 + (2*t^8.241)/g1^12 + 2*g1^36*t^8.277 + 2*g1^84*t^8.313 + (2*t^8.349)/g1^34 - 4*g1^14*t^8.386 + 3*g1^62*t^8.422 + g1^110*t^8.458 - (5*t^8.494)/g1^8 + 6*g1^40*t^8.53 + 3*g1^88*t^8.566 + t^8.602/g1^30 + 4*g1^66*t^8.675 + t^8.711/g1^52 - (3*t^8.747)/g1^4 + 8*g1^44*t^8.783 + 3*g1^92*t^8.819 - (2*t^8.855)/g1^26 + 4*g1^22*t^8.892 + 5*g1^70*t^8.928 + t^8.964/g1^48 - t^4.373/(g1^2*y) - (g1^30*t^6.398)/y - (g1^8*t^6.506)/y - (g1^12*t^6.759)/y - t^6.867/(g1^10*y) - t^7.12/(g1^6*y) + (g1^42*t^7.157)/y + (g1^20*t^7.265)/y + (g1^46*t^7.41)/y - t^7.482/(g1^24*y) + (3*g1^24*t^7.518)/y + (3*g1^2*t^7.627)/y + (g1^28*t^7.771)/y + (4*g1^6*t^7.88)/y + (2*t^7.988)/(g1^16*y) + (g1^32*t^8.024)/y + (3*g1^10*t^8.133)/y + (4*t^8.241)/(g1^12*y) + t^8.349/(g1^34*y) + (g1^14*t^8.386)/y - (g1^62*t^8.422)/y + (3*t^8.494)/(g1^8*y) - (g1^40*t^8.53)/y + (2*t^8.602)/(g1^30*y) - (g1^18*t^8.639)/y + t^8.747/(g1^4*y) + t^8.855/(g1^26*y) - (g1^22*t^8.892)/y - (t^4.373*y)/g1^2 - g1^30*t^6.398*y - g1^8*t^6.506*y - g1^12*t^6.759*y - (t^6.867*y)/g1^10 - (t^7.12*y)/g1^6 + g1^42*t^7.157*y + g1^20*t^7.265*y + g1^46*t^7.41*y - (t^7.482*y)/g1^24 + 3*g1^24*t^7.518*y + 3*g1^2*t^7.627*y + g1^28*t^7.771*y + 4*g1^6*t^7.88*y + (2*t^7.988*y)/g1^16 + g1^32*t^8.024*y + 3*g1^10*t^8.133*y + (4*t^8.241*y)/g1^12 + (t^8.349*y)/g1^34 + g1^14*t^8.386*y - g1^62*t^8.422*y + (3*t^8.494*y)/g1^8 - g1^40*t^8.53*y + (2*t^8.602*y)/g1^30 - g1^18*t^8.639*y + (t^8.747*y)/g1^4 + (t^8.855*y)/g1^26 - g1^22*t^8.892*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 |
|---|---|---|---|---|---|---|---|---|
| 6329 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6242 | 0.8008 | 0.7794 | [M:[0.7826, 0.9565, 1.0, 0.7391, 1.2609, 0.8261, 0.7391, 1.0435], q:[0.7391, 0.4783], qb:[0.2609, 0.7826], phi:[0.4348]] | 2*t^2.217 + t^2.348 + t^2.478 + t^2.609 + t^2.87 + t^3. + t^3.13 + t^4.174 + t^4.304 + 3*t^4.435 + 2*t^4.565 + 3*t^4.696 + 3*t^4.826 + 3*t^4.957 + 3*t^5.087 + 3*t^5.217 + 3*t^5.348 + 3*t^5.478 + 2*t^5.609 + 2*t^5.739 - t^6. - t^4.304/y - t^4.304*y | detail | {a: 15189/24334, c: 155897/194672, M1: 18/23, M2: 22/23, M3: 1, M4: 17/23, M5: 29/23, M6: 19/23, M7: 17/23, M8: 24/23, q1: 17/23, q2: 11/23, qb1: 6/23, qb2: 18/23, phi1: 10/23} |
| 6337 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{9}$ | 0.6948 | 0.8791 | 0.7904 | [M:[1.0327, 0.7974, 1.0, 0.8301, 1.1699, 0.7124, 0.8301, 0.6797, 1.2876], q:[0.5686, 0.3987], qb:[0.4314, 0.7712], phi:[0.4575]] | t^2.039 + t^2.392 + 2*t^2.49 + t^2.745 + t^3. + t^3.098 + t^3.765 + t^3.863 + t^4.02 + t^4.078 + t^4.274 + t^4.373 + t^4.431 + 2*t^4.529 + 3*t^4.784 + 2*t^4.882 + 3*t^4.98 + t^5.039 + 2*t^5.137 + 2*t^5.235 + t^5.392 + 3*t^5.49 + t^5.588 + t^5.745 + t^5.804 + t^5.843 - 2*t^6. - t^4.373/y - t^4.373*y | detail | |
| 6328 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$ | 0.6433 | 0.823 | 0.7817 | [M:[0.8125, 0.9375, 1.0, 0.75, 1.25, 0.8125, 0.75, 1.0], q:[0.7188, 0.4688], qb:[0.2813, 0.7813], phi:[0.4375]] | 2*t^2.25 + 2*t^2.438 + t^2.625 + t^2.813 + 2*t^3. + t^4.125 + t^4.313 + 4*t^4.5 + 3*t^4.688 + 6*t^4.875 + 4*t^5.063 + 6*t^5.25 + 4*t^5.438 + 4*t^5.625 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 21081/32768, c: 26969/32768, M1: 13/16, M2: 15/16, M3: 1, M4: 3/4, M5: 5/4, M6: 13/16, M7: 3/4, M8: 1, q1: 23/32, q2: 15/32, qb1: 9/32, qb2: 25/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2629 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6943 | 0.8765 | 0.7921 | [M:[1.0329, 0.7972, 1.0, 0.8302, 1.1698, 0.7123, 0.8302], q:[0.5684, 0.3986], qb:[0.4316, 0.7712], phi:[0.4575]] | t^2.137 + t^2.392 + 2*t^2.49 + t^2.745 + t^3. + t^3.099 + t^3.764 + t^3.962 + t^4.019 + 2*t^4.274 + t^4.373 + t^4.529 + 2*t^4.627 + 2*t^4.783 + 3*t^4.882 + 3*t^4.981 + 2*t^5.137 + 3*t^5.236 + t^5.392 + 3*t^5.49 + t^5.589 + t^5.745 + t^5.844 - 2*t^6. - t^4.373/y - t^4.373*y | detail |