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 |
|---|---|---|---|---|---|---|---|---|---|
| 57800 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4741 | 1.6828 | 0.876 | [X:[1.3317], M:[0.9976, 0.6731], q:[0.4915, 0.5061], qb:[0.5012, 0.4963], phi:[0.3341]] | [X:[[0, 2]], M:[[0, 3], [0, -8]], q:[[-1, 15], [-1, -3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.02 + t^2.96 + t^2.98 + t^2.99 + t^3.01 + t^3.02 + t^3.97 + t^4. + t^4.01 + t^4.02 + t^4.04 + t^4.97 + 2*t^4.98 + t^5. + 2*t^5.01 + 2*t^5.03 + t^5.04 + t^5.47 + t^5.48 + t^5.5 + t^5.51 + t^5.93 + t^5.94 + t^5.96 + 2*t^5.97 + 3*t^5.99 - 2*t^6. + 2*t^6.01 + 2*t^6.03 + t^6.04 + t^6.06 + t^6.47 + t^6.49 + t^6.5 + t^6.52 + t^6.93 + t^6.94 + t^6.96 + 3*t^6.97 + 4*t^6.99 + 2*t^7. + 3*t^7.02 + 4*t^7.03 + 2*t^7.05 + t^7.06 + t^7.43 + t^7.47 + t^7.49 + t^7.5 + 2*t^7.52 + t^7.53 + t^7.56 + 2*t^7.93 + 3*t^7.95 + 2*t^7.96 + 4*t^7.98 + 6*t^7.99 + 4*t^8. + 5*t^8.03 + 3*t^8.05 + t^8.06 + t^8.08 + t^8.43 + t^8.45 + t^8.46 + 2*t^8.48 + 2*t^8.49 + t^8.51 + t^8.52 - t^8.53 + t^8.54 - t^8.55 + t^8.89 + t^8.91 + t^8.92 + 3*t^8.93 + 4*t^8.95 - t^8.96 + 2*t^8.98 + 4*t^8.99 - t^4./y - t^5./y - t^6.02/y - t^6.97/y - t^6.98/y - t^7./y - t^7.01/y - (2*t^7.02)/y - t^7.97/y + t^7.98/y + t^8.94/y + t^8.96/y + t^8.97/y + (2*t^8.99)/y - t^4.*y - t^5.*y - t^6.02*y - t^6.97*y - t^6.98*y - t^7.*y - t^7.01*y - 2*t^7.02*y - t^7.97*y + t^7.98*y + t^8.94*y + t^8.96*y + t^8.97*y + 2*t^8.99*y | t^2.02/g2^8 + g2^15*t^2.96 + g2^9*t^2.98 + g2^3*t^2.99 + t^3.01/g2^3 + t^3.02/g2^9 + g2^14*t^3.97 + g2^2*t^4. + t^4.01/g2^4 + t^4.02/g2^10 + t^4.04/g2^16 + g2^13*t^4.97 + 2*g2^7*t^4.98 + g2*t^5. + (2*t^5.01)/g2^5 + (2*t^5.03)/g2^11 + t^5.04/g2^17 + (g2^26*t^5.47)/g1^3 + (g1^3*t^5.48)/g2^7 + (g1^3*t^5.5)/g2^13 + (g2^8*t^5.51)/g1^3 + g2^30*t^5.93 + g2^24*t^5.94 + g2^18*t^5.96 + 2*g2^12*t^5.97 + 3*g2^6*t^5.99 - 2*t^6. + (2*t^6.01)/g2^6 + (2*t^6.03)/g2^12 + t^6.04/g2^18 + t^6.06/g2^24 + (g2^25*t^6.47)/g1^3 + (g1^3*t^6.49)/g2^8 + (g1^3*t^6.5)/g2^14 + (g2^7*t^6.52)/g1^3 + g2^29*t^6.93 + g2^23*t^6.94 + g2^17*t^6.96 + 3*g2^11*t^6.97 + 4*g2^5*t^6.99 + (2*t^7.)/g2 + (3*t^7.02)/g2^7 + (4*t^7.03)/g2^13 + (2*t^7.05)/g2^19 + t^7.06/g2^25 + (g2^42*t^7.43)/g1^3 + (g2^24*t^7.47)/g1^3 + (g1^3*t^7.49)/g2^9 + (2*g1^3*t^7.5)/g2^15 - (g2^12*t^7.5)/g1^3 + (g1^3*t^7.52)/g2^21 + (g2^6*t^7.52)/g1^3 + t^7.53/g1^3 + t^7.56/(g1^3*g2^12) + 2*g2^28*t^7.93 + 3*g2^22*t^7.95 + 2*g2^16*t^7.96 + 4*g2^10*t^7.98 + 6*g2^4*t^7.99 + (4*t^8.)/g2^2 + (5*t^8.03)/g2^14 + (3*t^8.05)/g2^20 + t^8.06/g2^26 + t^8.08/g2^32 + (g2^41*t^8.43)/g1^3 + g1^3*g2^8*t^8.45 + g1^3*g2^2*t^8.46 + (2*g2^23*t^8.48)/g1^3 + (g1^3*t^8.49)/g2^10 + (g2^17*t^8.49)/g1^3 + (2*g1^3*t^8.51)/g2^16 - (g2^11*t^8.51)/g1^3 + (g2^5*t^8.52)/g1^3 - (g1^3*t^8.53)/g2^28 + t^8.54/(g1^3*g2) - t^8.55/(g1^3*g2^7) + g2^45*t^8.89 + g2^39*t^8.91 + g2^33*t^8.92 + 3*g2^27*t^8.93 + 4*g2^21*t^8.95 - g2^15*t^8.96 + 2*g2^9*t^8.98 + 4*g2^3*t^8.99 - t^4./(g2*y) - t^5./(g2^2*y) - t^6.02/(g2^9*y) - (g2^14*t^6.97)/y - (g2^8*t^6.98)/y - (g2^2*t^7.)/y - t^7.01/(g2^4*y) - (2*t^7.02)/(g2^10*y) - (g2^13*t^7.97)/y + (g2^7*t^7.98)/y + (g2^24*t^8.94)/y + (g2^18*t^8.96)/y + (g2^12*t^8.97)/y + (2*g2^6*t^8.99)/y - (t^4.*y)/g2 - (t^5.*y)/g2^2 - (t^6.02*y)/g2^9 - g2^14*t^6.97*y - g2^8*t^6.98*y - g2^2*t^7.*y - (t^7.01*y)/g2^4 - (2*t^7.02*y)/g2^10 - g2^13*t^7.97*y + g2^7*t^7.98*y + g2^24*t^8.94*y + g2^18*t^8.96*y + g2^12*t^8.97*y + 2*g2^6*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 61004 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}M_{3}$ | 1.474 | 1.6824 | 0.8761 | [X:[1.3328], M:[0.9992, 0.6688, 1.0008], q:[0.4972, 0.502], qb:[0.5004, 0.4988], phi:[0.3336]] | t^2.01 + 2*t^2.99 + 2*t^3. + t^3.01 + t^3.99 + 2*t^4. + 2*t^4.01 + 3*t^4.99 + 2*t^5. + 4*t^5.01 + 2*t^5.49 + 2*t^5.5 + 2*t^5.98 + 2*t^5.99 + 3*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | |
| 61042 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$ | 1.0061 | 1.1701 | 0.8598 | [X:[1.25, 1.625, 1.375], M:[0.875, 1.0], q:[0.1181, 0.8681], qb:[0.5069, 0.2569], phi:[0.375]] | t^2.25 + t^2.62 + t^3. + 2*t^3.38 + 3*t^4.12 + t^4.19 + 2*t^4.44 + 2*t^4.5 + t^4.88 + t^4.94 + 2*t^5.25 + t^5.31 + t^5.56 + 4*t^5.62 - 3*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 32967/32768, c: 38343/32768, X1: 5/4, X2: 13/8, X3: 11/8, M1: 7/8, M2: 1, q1: 17/144, q2: 125/144, qb1: 73/144, qb2: 37/144, phi1: 3/8} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 57286 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4759 | 1.6818 | 0.8775 | [X:[1.3442], M:[0.9514, 0.6882], q:[0.4921, 0.5242], qb:[0.4919, 0.5244], phi:[0.3279]] | t^2.064 + t^2.854 + t^2.951 + t^2.952 + t^3.048 + t^3.049 + t^4.032 + 2*t^4.033 + t^4.129 + t^4.13 + 2*t^4.919 + 3*t^5.016 + t^5.017 + 2*t^5.113 + t^5.114 + t^5.508 + t^5.509 + t^5.605 + t^5.606 + t^5.708 + t^5.805 + t^5.806 + t^5.902 + t^5.903 + t^5.904 + t^5.999 - 3*t^6. - t^3.984/y - t^4.967/y - t^3.984*y - t^4.967*y | detail |