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 |
|---|---|---|---|---|---|---|---|---|---|
| 4534 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7284 | 0.9159 | 0.7953 | [M:[0.9191, 1.027, 1.0809, 0.8652, 1.0, 0.9461, 0.9191, 0.6752], q:[0.5, 0.5809], qb:[0.4191, 0.5539], phi:[0.4865]] | [M:[[-6], [2], [6], [-10], [0], [-4], [-6], [13]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{2}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.026 + t^2.596 + 2*t^2.757 + t^2.838 + t^2.919 + t^3. + t^3.081 + t^4.051 + t^4.217 + t^4.379 + 2*t^4.46 + 2*t^4.621 + t^4.702 + 3*t^4.783 + 2*t^4.864 + 2*t^4.945 + t^5.026 + t^5.107 + t^5.191 + 2*t^5.353 + t^5.434 + 3*t^5.515 + 2*t^5.596 + 4*t^5.676 + t^5.757 + 3*t^5.838 + t^5.919 - 2*t^6. + t^6.077 - t^6.162 - t^6.243 + t^6.485 + 2*t^6.647 + t^6.728 + 3*t^6.809 + t^6.813 + 2*t^6.89 + 2*t^6.971 + 2*t^6.974 + t^7.051 + t^7.055 + t^7.132 + 2*t^7.136 + 5*t^7.217 + 3*t^7.298 + 5*t^7.379 + 3*t^7.46 + 6*t^7.54 + 3*t^7.621 + 6*t^7.702 + 3*t^7.783 + t^7.787 + 2*t^7.864 + t^7.945 + 2*t^7.949 - 3*t^8.026 + t^8.029 + t^8.103 - t^8.107 + 3*t^8.11 - t^8.187 + 2*t^8.191 - t^8.268 + 6*t^8.272 + t^8.353 + 6*t^8.434 + t^8.511 + 2*t^8.515 + t^8.596 + 2*t^8.673 + 3*t^8.676 + t^8.754 - 4*t^8.757 + 3*t^8.834 - 3*t^8.838 + 2*t^8.915 - 3*t^8.919 + 2*t^8.996 - t^4.46/y - t^6.485/y - t^7.055/y - t^7.217/y - t^7.298/y + (2*t^7.621)/y + t^7.702/y + (2*t^7.783)/y + (2*t^7.864)/y + t^7.945/y + t^8.026/y + t^8.107/y + (2*t^8.353)/y + (2*t^8.434)/y - t^8.511/y + (2*t^8.515)/y + (3*t^8.596)/y + (3*t^8.676)/y + (3*t^8.757)/y + (3*t^8.838)/y + (2*t^8.919)/y - t^4.46*y - t^6.485*y - t^7.055*y - t^7.217*y - t^7.298*y + 2*t^7.621*y + t^7.702*y + 2*t^7.783*y + 2*t^7.864*y + t^7.945*y + t^8.026*y + t^8.107*y + 2*t^8.353*y + 2*t^8.434*y - t^8.511*y + 2*t^8.515*y + 3*t^8.596*y + 3*t^8.676*y + 3*t^8.757*y + 3*t^8.838*y + 2*t^8.919*y | g1^13*t^2.026 + t^2.596/g1^10 + (2*t^2.757)/g1^6 + t^2.838/g1^4 + t^2.919/g1^2 + t^3. + g1^2*t^3.081 + g1^26*t^4.051 + t^4.217/g1^7 + t^4.379/g1^3 + (2*t^4.46)/g1 + 2*g1^3*t^4.621 + g1^5*t^4.702 + 3*g1^7*t^4.783 + 2*g1^9*t^4.864 + 2*g1^11*t^4.945 + g1^13*t^5.026 + g1^15*t^5.107 + t^5.191/g1^20 + (2*t^5.353)/g1^16 + t^5.434/g1^14 + (3*t^5.515)/g1^12 + (2*t^5.596)/g1^10 + (4*t^5.676)/g1^8 + t^5.757/g1^6 + (3*t^5.838)/g1^4 + t^5.919/g1^2 - 2*t^6. + g1^39*t^6.077 - g1^4*t^6.162 - g1^6*t^6.243 + g1^12*t^6.485 + 2*g1^16*t^6.647 + g1^18*t^6.728 + 3*g1^20*t^6.809 + t^6.813/g1^17 + 2*g1^22*t^6.89 + 2*g1^24*t^6.971 + (2*t^6.974)/g1^13 + g1^26*t^7.051 + t^7.055/g1^11 + g1^28*t^7.132 + (2*t^7.136)/g1^9 + (5*t^7.217)/g1^7 + (3*t^7.298)/g1^5 + (5*t^7.379)/g1^3 + (3*t^7.46)/g1 + 6*g1*t^7.54 + 3*g1^3*t^7.621 + 6*g1^5*t^7.702 + 3*g1^7*t^7.783 + t^7.787/g1^30 + 2*g1^9*t^7.864 + g1^11*t^7.945 + (2*t^7.949)/g1^26 - 3*g1^13*t^8.026 + t^8.029/g1^24 + g1^52*t^8.103 - g1^15*t^8.107 + (3*t^8.11)/g1^22 - g1^17*t^8.187 + (2*t^8.191)/g1^20 - g1^19*t^8.268 + (6*t^8.272)/g1^18 + t^8.353/g1^16 + (6*t^8.434)/g1^14 + g1^25*t^8.511 + (2*t^8.515)/g1^12 + t^8.596/g1^10 + 2*g1^29*t^8.673 + (3*t^8.676)/g1^8 + g1^31*t^8.754 - (4*t^8.757)/g1^6 + 3*g1^33*t^8.834 - (3*t^8.838)/g1^4 + 2*g1^35*t^8.915 - (3*t^8.919)/g1^2 + 2*g1^37*t^8.996 - t^4.46/(g1*y) - (g1^12*t^6.485)/y - t^7.055/(g1^11*y) - t^7.217/(g1^7*y) - t^7.298/(g1^5*y) + (2*g1^3*t^7.621)/y + (g1^5*t^7.702)/y + (2*g1^7*t^7.783)/y + (2*g1^9*t^7.864)/y + (g1^11*t^7.945)/y + (g1^13*t^8.026)/y + (g1^15*t^8.107)/y + (2*t^8.353)/(g1^16*y) + (2*t^8.434)/(g1^14*y) - (g1^25*t^8.511)/y + (2*t^8.515)/(g1^12*y) + (3*t^8.596)/(g1^10*y) + (3*t^8.676)/(g1^8*y) + (3*t^8.757)/(g1^6*y) + (3*t^8.838)/(g1^4*y) + (2*t^8.919)/(g1^2*y) - (t^4.46*y)/g1 - g1^12*t^6.485*y - (t^7.055*y)/g1^11 - (t^7.217*y)/g1^7 - (t^7.298*y)/g1^5 + 2*g1^3*t^7.621*y + g1^5*t^7.702*y + 2*g1^7*t^7.783*y + 2*g1^9*t^7.864*y + g1^11*t^7.945*y + g1^13*t^8.026*y + g1^15*t^8.107*y + (2*t^8.353*y)/g1^16 + (2*t^8.434*y)/g1^14 - g1^25*t^8.511*y + (2*t^8.515*y)/g1^12 + (3*t^8.596*y)/g1^10 + (3*t^8.676*y)/g1^8 + (3*t^8.757*y)/g1^6 + (3*t^8.838*y)/g1^4 + (2*t^8.919*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6038 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{4}X_{1}$ | 0.6567 | 0.8233 | 0.7976 | [X:[1.3333], M:[0.8, 1.0667, 1.2, 0.6667, 1.0, 0.8667, 0.8, 0.9333], q:[0.5, 0.7], qb:[0.3, 0.6333], phi:[0.4667]] | 2*t^2.4 + t^2.6 + 2*t^2.8 + t^3. + t^3.2 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + 3*t^4.8 + 2*t^5. + 6*t^5.2 + 3*t^5.4 + 6*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 197/300, c: 247/300, X1: 4/3, M1: 4/5, M2: 16/15, M3: 6/5, M4: 2/3, M5: 1, M6: 13/15, M7: 4/5, M8: 14/15, q1: 1/2, q2: 7/10, qb1: 3/10, qb2: 19/30, phi1: 7/15} |
| 6036 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$ + ${ }M_{4}X_{1}$ | 0.6287 | 0.7922 | 0.7937 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 1.0, 0.8462, 0.7692, 1.0], q:[0.5, 0.7308], qb:[0.2692, 0.6538], phi:[0.4615]] | 2*t^2.308 + t^2.538 + t^2.769 + 2*t^3. + t^3.231 + t^3.692 + 2*t^4.154 + 2*t^4.385 + 2*t^4.615 + 2*t^4.846 + 4*t^5.077 + 4*t^5.308 + 5*t^5.538 + 3*t^5.769 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 22101/35152, c: 27847/35152, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 1, M6: 11/13, M7: 10/13, M8: 1, q1: 1/2, q2: 19/26, qb1: 7/26, qb2: 17/26, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2479 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.7076 | 0.875 | 0.8086 | [M:[0.917, 1.0277, 1.083, 0.8617, 1.0, 0.9447, 0.917], q:[0.5, 0.583], qb:[0.417, 0.5553], phi:[0.4862]] | t^2.585 + 2*t^2.751 + t^2.834 + t^2.917 + t^3. + t^3.083 + t^3.961 + t^4.21 + t^4.376 + 2*t^4.459 + t^4.624 + t^4.707 + t^4.79 + t^4.873 + t^4.956 + t^5.17 + 2*t^5.336 + t^5.419 + 3*t^5.502 + 2*t^5.585 + 4*t^5.668 + t^5.751 + 3*t^5.834 + t^5.917 - 2*t^6. - t^4.459/y - t^4.459*y | detail |