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 |
|---|---|---|---|---|---|---|---|---|---|
| 57404 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4949 | 1.7241 | 0.867 | [M:[0.6737], q:[0.5013, 0.496], qb:[0.5013, 0.496], phi:[0.3342]] | [M:[[8, -8]], q:[[-3, -3], [-9, 3]], qb:[[6, 0], [0, 6]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{5}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${2}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | t^2.005 + t^2.021 + t^2.976 + 2*t^2.992 + 2*t^3.008 + 2*t^3.995 + 2*t^4.011 + t^4.027 + t^4.042 + 2*t^4.981 + 5*t^4.997 + 5*t^5.013 + 2*t^5.029 + 2*t^5.483 + 2*t^5.499 + t^5.952 + 2*t^5.968 + 3*t^5.984 + 2*t^6. + 5*t^6.016 + 2*t^6.032 + t^6.048 + t^6.064 + 2*t^6.485 + 2*t^6.501 + 2*t^6.971 + 5*t^6.987 + 9*t^7.003 + 8*t^7.019 + 5*t^7.035 + 2*t^7.05 + 2*t^7.472 + 2*t^7.488 + 4*t^7.504 + 4*t^7.52 + 2*t^7.958 + 6*t^7.973 + 10*t^7.989 + 10*t^8.005 + 6*t^8.021 + 5*t^8.037 + 2*t^8.053 + t^8.069 + t^8.085 + 2*t^8.459 + 4*t^8.475 + 4*t^8.491 + 2*t^8.507 + t^8.928 + 2*t^8.944 + 3*t^8.96 + 3*t^8.976 + 5*t^8.992 - t^4.003/y - t^5.005/y - t^6.008/y - t^6.024/y - t^6.979/y - (2*t^6.995)/y - (3*t^7.011)/y + t^7.981/y + (2*t^7.997)/y + t^8.013/y + t^8.029/y - t^8.045/y + (2*t^8.968)/y + (2*t^8.984)/y - t^4.003*y - t^5.005*y - t^6.008*y - t^6.024*y - t^6.979*y - 2*t^6.995*y - 3*t^7.011*y + t^7.981*y + 2*t^7.997*y + t^8.013*y + t^8.029*y - t^8.045*y + 2*t^8.968*y + 2*t^8.984*y | (g1^2*t^2.005)/g2^2 + (g1^8*t^2.021)/g2^8 + (g2^9*t^2.976)/g1^9 + (2*g2^3*t^2.992)/g1^3 + (2*g1^3*t^3.008)/g2^3 + (2*g2^2*t^3.995)/g1^2 + (2*g1^4*t^4.011)/g2^4 + (g1^10*t^4.027)/g2^10 + (g1^16*t^4.042)/g2^16 + (2*g2^7*t^4.981)/g1^7 + (5*g2*t^4.997)/g1 + (5*g1^5*t^5.013)/g2^5 + (2*g1^11*t^5.029)/g2^11 + (g2^2*t^5.483)/g1^20 + g1^7*g2^11*t^5.483 + t^5.499/(g1^14*g2^4) + g1^13*g2^5*t^5.499 + (g2^18*t^5.952)/g1^18 + (2*g2^12*t^5.968)/g1^12 + (3*g2^6*t^5.984)/g1^6 + 2*t^6. + (5*g1^6*t^6.016)/g2^6 + (2*g1^12*t^6.032)/g2^12 + (g1^18*t^6.048)/g2^18 + (g1^24*t^6.064)/g2^24 + (g2*t^6.485)/g1^19 + g1^8*g2^10*t^6.485 + t^6.501/(g1^13*g2^5) + g1^14*g2^4*t^6.501 + (2*g2^11*t^6.971)/g1^11 + (5*g2^5*t^6.987)/g1^5 + (9*g1*t^7.003)/g2 + (8*g1^7*t^7.019)/g2^7 + (5*g1^13*t^7.035)/g2^13 + (2*g1^19*t^7.05)/g2^19 + (g2^6*t^7.472)/g1^24 + g1^3*g2^15*t^7.472 + t^7.488/g1^18 + g1^9*g2^9*t^7.488 + (2*t^7.504)/(g1^12*g2^6) + 2*g1^15*g2^3*t^7.504 + (2*t^7.52)/(g1^6*g2^12) + (2*g1^21*t^7.52)/g2^3 + (2*g2^16*t^7.958)/g1^16 + (6*g2^10*t^7.973)/g1^10 + (10*g2^4*t^7.989)/g1^4 + (10*g1^2*t^8.005)/g2^2 + (6*g1^8*t^8.021)/g2^8 + (5*g1^14*t^8.037)/g2^14 + (2*g1^20*t^8.053)/g2^20 + (g1^26*t^8.069)/g2^26 + (g1^32*t^8.085)/g2^32 + (g2^11*t^8.459)/g1^29 + (g2^20*t^8.459)/g1^2 + (2*g2^5*t^8.475)/g1^23 + 2*g1^4*g2^14*t^8.475 + (2*t^8.491)/(g1^17*g2) + 2*g1^10*g2^8*t^8.491 + t^8.507/(g1^11*g2^7) + g1^16*g2^2*t^8.507 + (g2^27*t^8.928)/g1^27 + (2*g2^21*t^8.944)/g1^21 + (3*g2^15*t^8.96)/g1^15 + (3*g2^9*t^8.976)/g1^9 + (5*g2^3*t^8.992)/g1^3 - (g1*t^4.003)/(g2*y) - (g1^2*t^5.005)/(g2^2*y) - (g1^3*t^6.008)/(g2^3*y) - (g1^9*t^6.024)/(g2^9*y) - (g2^8*t^6.979)/(g1^8*y) - (2*g2^2*t^6.995)/(g1^2*y) - (3*g1^4*t^7.011)/(g2^4*y) + (g2^7*t^7.981)/(g1^7*y) + (2*g2*t^7.997)/(g1*y) + (g1^5*t^8.013)/(g2^5*y) + (g1^11*t^8.029)/(g2^11*y) - (g1^17*t^8.045)/(g2^17*y) + (2*g2^12*t^8.968)/(g1^12*y) + (2*g2^6*t^8.984)/(g1^6*y) - (g1*t^4.003*y)/g2 - (g1^2*t^5.005*y)/g2^2 - (g1^3*t^6.008*y)/g2^3 - (g1^9*t^6.024*y)/g2^9 - (g2^8*t^6.979*y)/g1^8 - (2*g2^2*t^6.995*y)/g1^2 - (3*g1^4*t^7.011*y)/g2^4 + (g2^7*t^7.981*y)/g1^7 + (2*g2*t^7.997*y)/g1 + (g1^5*t^8.013*y)/g2^5 + (g1^11*t^8.029*y)/g2^11 - (g1^17*t^8.045*y)/g2^17 + (2*g2^12*t^8.968*y)/g1^12 + (2*g2^6*t^8.984*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58557 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.3423 | 1.5532 | 0.8642 | [X:[1.375], M:[1.0], q:[0.5625, 0.3125], qb:[0.5625, 0.3125], phi:[0.375]] | t^2.25 + 2*t^2.62 + t^3. + 2*t^3.38 + 2*t^3.75 + 2*t^4.12 + 2*t^4.5 + 2*t^4.69 + 4*t^4.88 + 2*t^5.25 + 2*t^5.44 + 5*t^5.62 + 2*t^5.81 + 3*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail | {a: 43983/32768, c: 50895/32768, X1: 11/8, M1: 1, q1: 9/16, q2: 5/16, qb1: 9/16, qb2: 5/16, phi1: 3/8} |
| 58558 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.5157 | 1.7657 | 0.8584 | [X:[], M:[0.6736, 0.6684], q:[0.5013, 0.4961], qb:[0.5013, 0.4961], phi:[0.3342]] | 2*t^2.01 + t^2.02 + t^2.98 + 2*t^2.99 + 2*t^3.01 + t^3.99 + 4*t^4.01 + 2*t^4.03 + t^4.04 + 3*t^4.98 + 7*t^5. + 7*t^5.01 + 2*t^5.03 + 2*t^5.48 + 2*t^5.5 + t^5.95 + 2*t^5.97 + 3*t^5.98 + 2*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47899 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 1.474 | 1.6831 | 0.8758 | [q:[0.5017, 0.4949], qb:[0.5017, 0.4949], phi:[0.3345]] | t^2.007 + t^2.969 + 2*t^2.99 + 2*t^3.01 + t^3.973 + 2*t^3.993 + 2*t^4.014 + 2*t^4.976 + 4*t^4.997 + 3*t^5.017 + 2*t^5.478 + 2*t^5.498 + t^5.938 + 2*t^5.959 + 4*t^5.979 + 2*t^6. - t^4.003/y - t^5.007/y - t^4.003*y - t^5.007*y | detail |