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 |
|---|---|---|---|---|---|---|---|---|---|
| 658 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.6805 | 0.8404 | 0.8097 | [M:[1.0, 1.1174, 0.9715, 0.6762, 0.8826], q:[0.7794, 0.427], qb:[0.573, 0.4555], phi:[0.4413]] | [M:[[0], [4], [-18], [6], [-4]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.029 + 2*t^2.648 + t^2.914 + t^3. + t^3.619 + t^3.705 + t^3.886 + 3*t^4.057 + t^4.324 + t^4.409 + 2*t^4.676 + t^4.762 + t^4.943 + t^5.029 + 3*t^5.295 + t^5.562 + 2*t^5.648 + t^5.733 + t^5.829 + t^5.914 - 2*t^6. + 2*t^6.086 + t^6.267 + t^6.352 + 3*t^6.534 + t^6.619 + 5*t^6.705 + t^6.79 + t^6.8 + 2*t^6.971 + 3*t^7.057 + 3*t^7.324 + t^7.409 + t^7.505 + t^7.591 + 2*t^7.676 + 2*t^7.762 + t^7.772 + t^7.857 + 6*t^7.943 - 2*t^8.029 + 4*t^8.114 + 2*t^8.21 + t^8.295 + t^8.381 + 2*t^8.466 + t^8.477 + 2*t^8.562 - 3*t^8.648 + 2*t^8.733 + t^8.743 + 3*t^8.819 + t^8.829 - t^8.914 - t^4.324/y - t^6.352/y - t^6.971/y - t^7.238/y + t^7.409/y + (3*t^7.676)/y + t^7.943/y + t^8.029/y + (2*t^8.295)/y - t^8.381/y + (2*t^8.562)/y + (3*t^8.648)/y + t^8.733/y + (2*t^8.914)/y - t^4.324*y - t^6.352*y - t^6.971*y - t^7.238*y + t^7.409*y + 3*t^7.676*y + t^7.943*y + t^8.029*y + 2*t^8.295*y - t^8.381*y + 2*t^8.562*y + 3*t^8.648*y + t^8.733*y + 2*t^8.914*y | g1^6*t^2.029 + (2*t^2.648)/g1^4 + t^2.914/g1^18 + t^3. + t^3.619/g1^10 + g1^8*t^3.705 + t^3.886/g1^24 + 3*g1^12*t^4.057 + t^4.324/g1^2 + g1^16*t^4.409 + 2*g1^2*t^4.676 + g1^20*t^4.762 + t^4.943/g1^12 + g1^6*t^5.029 + (3*t^5.295)/g1^8 + t^5.562/g1^22 + (2*t^5.648)/g1^4 + g1^14*t^5.733 + t^5.829/g1^36 + t^5.914/g1^18 - 2*t^6. + 2*g1^18*t^6.086 + t^6.267/g1^14 + g1^4*t^6.352 + (3*t^6.534)/g1^28 + t^6.619/g1^10 + 5*g1^8*t^6.705 + g1^26*t^6.79 + t^6.8/g1^42 + (2*t^6.971)/g1^6 + 3*g1^12*t^7.057 + (3*t^7.324)/g1^2 + g1^16*t^7.409 + t^7.505/g1^34 + t^7.591/g1^16 + 2*g1^2*t^7.676 + 2*g1^20*t^7.762 + t^7.772/g1^48 + t^7.857/g1^30 + (6*t^7.943)/g1^12 - 2*g1^6*t^8.029 + 4*g1^24*t^8.114 + (2*t^8.21)/g1^26 + t^8.295/g1^8 + g1^10*t^8.381 + 2*g1^28*t^8.466 + t^8.477/g1^40 + (2*t^8.562)/g1^22 - (3*t^8.648)/g1^4 + 2*g1^14*t^8.733 + t^8.743/g1^54 + 3*g1^32*t^8.819 + t^8.829/g1^36 - t^8.914/g1^18 - t^4.324/(g1^2*y) - (g1^4*t^6.352)/y - t^6.971/(g1^6*y) - t^7.238/(g1^20*y) + (g1^16*t^7.409)/y + (3*g1^2*t^7.676)/y + t^7.943/(g1^12*y) + (g1^6*t^8.029)/y + (2*t^8.295)/(g1^8*y) - (g1^10*t^8.381)/y + (2*t^8.562)/(g1^22*y) + (3*t^8.648)/(g1^4*y) + (g1^14*t^8.733)/y + (2*t^8.914)/(g1^18*y) - (t^4.324*y)/g1^2 - g1^4*t^6.352*y - (t^6.971*y)/g1^6 - (t^7.238*y)/g1^20 + g1^16*t^7.409*y + 3*g1^2*t^7.676*y + (t^7.943*y)/g1^12 + g1^6*t^8.029*y + (2*t^8.295*y)/g1^8 - g1^10*t^8.381*y + (2*t^8.562*y)/g1^22 + (3*t^8.648*y)/g1^4 + g1^14*t^8.733*y + (2*t^8.914*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1048 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6691 | 0.8298 | 0.8063 | [M:[1.0, 1.1429, 0.8571, 0.7143, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | t^2.143 + 3*t^2.571 + t^3. + 2*t^3.429 + t^3.857 + 4*t^4.286 + 4*t^4.714 + 7*t^5.143 + 3*t^5.571 + 4*t^6. - t^4.286/y - t^4.286*y | detail | {a: 459/686, c: 2277/2744, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
| 1047 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.701 | 0.8802 | 0.7964 | [M:[1.0, 1.1151, 0.9819, 0.6727, 0.8849, 0.6908], q:[0.7788, 0.4334], qb:[0.5666, 0.4515], phi:[0.4424]] | t^2.018 + t^2.072 + 2*t^2.655 + t^2.946 + t^3. + t^3.636 + t^3.691 + 3*t^4.036 + t^4.091 + t^4.145 + t^4.327 + t^4.382 + 2*t^4.673 + 3*t^4.727 + t^4.964 + 2*t^5.018 + t^5.072 + 3*t^5.309 + t^5.6 + 2*t^5.655 + 2*t^5.709 + t^5.763 + t^5.891 - 2*t^6. - t^4.327/y - t^4.327*y | detail | |
| 1046 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.699 | 0.874 | 0.7998 | [M:[1.0, 1.1201, 0.9596, 0.6801, 0.8799, 0.7598], q:[0.78, 0.4198], qb:[0.5802, 0.4601], phi:[0.44]] | t^2.04 + t^2.28 + 2*t^2.64 + t^2.879 + t^3. + t^3.599 + t^3.839 + 3*t^4.081 + 2*t^4.32 + t^4.441 + t^4.559 + 2*t^4.68 + t^4.801 + 3*t^4.919 + t^5.04 + t^5.158 + 4*t^5.28 + t^5.519 + 2*t^5.64 + t^5.758 + 2*t^5.879 - 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 410 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.67 | 0.8227 | 0.8144 | [M:[1.0, 1.115, 0.9824, 0.6725], q:[0.7788, 0.4337], qb:[0.5663, 0.4513], phi:[0.4425]] | t^2.018 + t^2.655 + t^2.947 + t^3. + t^3.345 + t^3.637 + t^3.69 + t^3.93 + 3*t^4.035 + t^4.327 + t^4.38 + t^4.673 + t^4.725 + t^4.965 + t^5.018 + t^5.31 + t^5.363 + t^5.655 + t^5.708 + t^5.895 + t^5.947 - t^6. - t^4.327/y - t^4.327*y | detail |