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 |
|---|---|---|---|---|---|---|---|---|---|
| 4792 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}^{2}$ + ${ }M_{7}X_{1}$ | 0.6087 | 0.7781 | 0.7823 | [X:[1.4843], M:[0.9373, 1.0, 1.1952, 0.7422, 1.2578, 0.7735, 0.5157, 0.8048], q:[0.5627, 0.5], qb:[0.2422, 0.7578], phi:[0.4843]] | [X:[[2]], M:[[8], [0], [7], [1], [-1], [-3], [-2], [-7]], q:[[-8], [0]], qb:[[1], [-1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{8}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | t^2.226 + t^2.321 + t^2.415 + t^2.812 + 2*t^2.906 + t^3. + t^3.774 + t^3.868 + t^3.962 + 2*t^4.453 + t^4.547 + 3*t^4.641 + t^4.735 + 2*t^4.829 + 3*t^5.132 + 3*t^5.226 + 3*t^5.321 + t^5.415 + t^5.624 + 2*t^5.718 + 3*t^5.812 + t^5.906 - 2*t^6. + t^6.094 + t^6.188 + 2*t^6.282 + t^6.376 - t^6.491 + 2*t^6.679 + 3*t^6.774 + 4*t^6.868 + 2*t^6.962 + 3*t^7.056 + 2*t^7.15 + 2*t^7.244 + 3*t^7.359 + 2*t^7.453 + 4*t^7.547 + 4*t^7.641 + 5*t^7.735 + 2*t^7.829 + t^7.944 + 4*t^8.038 + 4*t^8.132 + t^8.226 - 2*t^8.321 - 2*t^8.415 + t^8.436 + 2*t^8.53 + 3*t^8.603 + 4*t^8.624 + 3*t^8.697 + 3*t^8.718 + 2*t^8.791 - 3*t^8.812 - 5*t^8.906 - t^4.453/y - t^6.774/y - t^7.265/y - t^7.359/y + (2*t^7.547)/y + (2*t^7.641)/y + t^7.735/y + t^8.038/y + (4*t^8.132)/y + (4*t^8.226)/y + (3*t^8.321)/y + t^8.415/y + (2*t^8.718)/y + (2*t^8.812)/y + (2*t^8.906)/y - t^4.453*y - t^6.774*y - t^7.265*y - t^7.359*y + 2*t^7.547*y + 2*t^7.641*y + t^7.735*y + t^8.038*y + 4*t^8.132*y + 4*t^8.226*y + 3*t^8.321*y + t^8.415*y + 2*t^8.718*y + 2*t^8.812*y + 2*t^8.906*y | g1*t^2.226 + t^2.321/g1^3 + t^2.415/g1^7 + g1^8*t^2.812 + 2*g1^4*t^2.906 + t^3. + t^3.774/g1 + t^3.868/g1^5 + t^3.962/g1^9 + 2*g1^2*t^4.453 + t^4.547/g1^2 + (3*t^4.641)/g1^6 + t^4.735/g1^10 + (2*t^4.829)/g1^14 + 3*g1^5*t^5.132 + 3*g1*t^5.226 + (3*t^5.321)/g1^3 + t^5.415/g1^7 + g1^16*t^5.624 + 2*g1^12*t^5.718 + 3*g1^8*t^5.812 + g1^4*t^5.906 - 2*t^6. + t^6.094/g1^4 + t^6.188/g1^8 + (2*t^6.282)/g1^12 + t^6.376/g1^16 - g1^11*t^6.491 + 2*g1^3*t^6.679 + (3*t^6.774)/g1 + (4*t^6.868)/g1^5 + (2*t^6.962)/g1^9 + (3*t^7.056)/g1^13 + (2*t^7.15)/g1^17 + (2*t^7.244)/g1^21 + 3*g1^6*t^7.359 + 2*g1^2*t^7.453 + (4*t^7.547)/g1^2 + (4*t^7.641)/g1^6 + (5*t^7.735)/g1^10 + (2*t^7.829)/g1^14 + g1^13*t^7.944 + 4*g1^9*t^8.038 + 4*g1^5*t^8.132 + g1*t^8.226 - (2*t^8.321)/g1^3 - (2*t^8.415)/g1^7 + g1^24*t^8.436 + 2*g1^20*t^8.53 + (3*t^8.603)/g1^15 + 4*g1^16*t^8.624 + (3*t^8.697)/g1^19 + 3*g1^12*t^8.718 + (2*t^8.791)/g1^23 - 3*g1^8*t^8.812 - 5*g1^4*t^8.906 - (g1^2*t^4.453)/y - t^6.774/(g1*y) - (g1^10*t^7.265)/y - (g1^6*t^7.359)/y + (2*t^7.547)/(g1^2*y) + (2*t^7.641)/(g1^6*y) + t^7.735/(g1^10*y) + (g1^9*t^8.038)/y + (4*g1^5*t^8.132)/y + (4*g1*t^8.226)/y + (3*t^8.321)/(g1^3*y) + t^8.415/(g1^7*y) + (2*g1^12*t^8.718)/y + (2*g1^8*t^8.812)/y + (2*g1^4*t^8.906)/y - g1^2*t^4.453*y - (t^6.774*y)/g1 - g1^10*t^7.265*y - g1^6*t^7.359*y + (2*t^7.547*y)/g1^2 + (2*t^7.641*y)/g1^6 + (t^7.735*y)/g1^10 + g1^9*t^8.038*y + 4*g1^5*t^8.132*y + 4*g1*t^8.226*y + (3*t^8.321*y)/g1^3 + (t^8.415*y)/g1^7 + 2*g1^12*t^8.718*y + 2*g1^8*t^8.812*y + 2*g1^4*t^8.906*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 |
|---|---|---|---|---|---|---|---|---|
| 6405 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}^{2}$ + ${ }M_{7}X_{1}$ + ${ }M_{6}M_{8}$ + ${ }M_{1}X_{2}$ | 0.4947 | 0.626 | 0.7903 | [X:[1.4, 1.4], M:[0.6, 1.0, 0.9, 0.7, 1.3, 0.9, 0.6, 1.1], q:[0.9, 0.5], qb:[0.2, 0.8], phi:[0.4]] | t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + 3*t^4.2 + 3*t^4.5 + 3*t^4.8 + 2*t^5.1 + 4*t^5.4 + 2*t^5.7 - 3*t^6. - t^4.2/y - t^4.2*y | detail | {a: 15831/32000, c: 20031/32000, X1: 7/5, X2: 7/5, M1: 3/5, M2: 1, M3: 9/10, M4: 7/10, M5: 13/10, M6: 9/10, M7: 3/5, M8: 11/10, q1: 9/10, q2: 1/2, qb1: 1/5, qb2: 4/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2647 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ | 0.6995 | 0.8854 | 0.79 | [M:[1.022, 0.7855, 0.9743, 0.8332, 1.1668, 0.7149, 0.7627, 1.0257], q:[0.5853, 0.3927], qb:[0.4405, 0.7741], phi:[0.4519]] | t^2.145 + t^2.288 + t^2.356 + t^2.5 + t^2.711 + t^3.066 + t^3.077 + t^3.5 + t^3.998 + t^4.078 + 2*t^4.29 + 2*t^4.433 + t^4.501 + t^4.576 + 2*t^4.644 + t^4.713 + t^4.788 + 2*t^4.856 + t^4.867 + 2*t^4.999 + t^5.068 + 2*t^5.211 + t^5.222 + t^5.354 + t^5.365 + t^5.422 + t^5.434 + t^5.577 + t^5.645 + t^5.777 + 2*t^5.788 - 2*t^6. - t^4.356/y - t^4.356*y | detail |