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 |
---|---|---|---|---|---|---|---|---|---|
3064 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6053 | 0.7765 | 0.7795 | [M:[1.0, 1.0083, 0.9834, 1.2521, 0.7313, 0.7479, 1.0166], q:[0.2479, 0.7521], qb:[0.5, 0.5166], phi:[0.4958]] | [M:[[0], [4], [-8], [1], [-9], [-1], [8]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.194 + t^2.244 + t^2.294 + t^2.975 + t^3. + t^3.025 + t^3.05 + t^3.731 + t^3.756 + t^3.781 + t^4.388 + t^4.438 + 3*t^4.488 + 2*t^4.537 + 2*t^4.587 + t^5.169 + 2*t^5.219 + t^5.244 + 2*t^5.269 + 2*t^5.294 + t^5.319 + t^5.344 + t^5.925 + t^5.95 + 2*t^5.975 - t^6. + 3*t^6.025 + t^6.05 + 2*t^6.075 + t^6.1 + t^6.582 + t^6.632 + 2*t^6.681 + 3*t^6.731 + 5*t^6.781 + 3*t^6.831 + 2*t^6.881 + t^7.363 + 2*t^7.413 - t^7.438 + 4*t^7.463 + 3*t^7.512 + 2*t^7.537 + 3*t^7.562 + 3*t^7.587 + t^7.612 + 2*t^7.637 + t^8.119 + t^8.144 + t^8.169 - 2*t^8.194 + 3*t^8.219 - 2*t^8.244 + 4*t^8.269 - 2*t^8.294 + 4*t^8.319 + 2*t^8.344 + 3*t^8.368 + t^8.393 + t^8.776 + t^8.825 + 2*t^8.875 + t^8.9 + 2*t^8.925 + 2*t^8.975 - t^4.488/y - t^6.681/y + t^7.438/y + t^7.488/y + t^7.537/y + t^8.169/y + t^8.194/y + (2*t^8.219)/y + (2*t^8.244)/y + (2*t^8.269)/y + (3*t^8.294)/y + t^8.319/y + t^8.344/y - t^8.875/y + t^8.925/y + t^8.95/y + (3*t^8.975)/y - t^4.488*y - t^6.681*y + t^7.438*y + t^7.488*y + t^7.537*y + t^8.169*y + t^8.194*y + 2*t^8.219*y + 2*t^8.244*y + 2*t^8.269*y + 3*t^8.294*y + t^8.319*y + t^8.344*y - t^8.875*y + t^8.925*y + t^8.95*y + 3*t^8.975*y | t^2.194/g1^9 + t^2.244/g1 + g1^7*t^2.294 + t^2.975/g1^4 + t^3. + g1^4*t^3.025 + g1^8*t^3.05 + t^3.731/g1^3 + g1*t^3.756 + g1^5*t^3.781 + t^4.388/g1^18 + t^4.438/g1^10 + (3*t^4.488)/g1^2 + 2*g1^6*t^4.537 + 2*g1^14*t^4.587 + t^5.169/g1^13 + (2*t^5.219)/g1^5 + t^5.244/g1 + 2*g1^3*t^5.269 + 2*g1^7*t^5.294 + g1^11*t^5.319 + g1^15*t^5.344 + t^5.925/g1^12 + t^5.95/g1^8 + (2*t^5.975)/g1^4 - t^6. + 3*g1^4*t^6.025 + g1^8*t^6.05 + 2*g1^12*t^6.075 + g1^16*t^6.1 + t^6.582/g1^27 + t^6.632/g1^19 + (2*t^6.681)/g1^11 + (3*t^6.731)/g1^3 + 5*g1^5*t^6.781 + 3*g1^13*t^6.831 + 2*g1^21*t^6.881 + t^7.363/g1^22 + (2*t^7.413)/g1^14 - t^7.438/g1^10 + (4*t^7.463)/g1^6 + 3*g1^2*t^7.512 + 2*g1^6*t^7.537 + 3*g1^10*t^7.562 + 3*g1^14*t^7.587 + g1^18*t^7.612 + 2*g1^22*t^7.637 + t^8.119/g1^21 + t^8.144/g1^17 + t^8.169/g1^13 - (2*t^8.194)/g1^9 + (3*t^8.219)/g1^5 - (2*t^8.244)/g1 + 4*g1^3*t^8.269 - 2*g1^7*t^8.294 + 4*g1^11*t^8.319 + 2*g1^15*t^8.344 + 3*g1^19*t^8.368 + g1^23*t^8.393 + t^8.776/g1^36 + t^8.825/g1^28 + (2*t^8.875)/g1^20 + t^8.9/g1^16 + (2*t^8.925)/g1^12 + (2*t^8.975)/g1^4 - t^4.488/(g1^2*y) - t^6.681/(g1^11*y) + t^7.438/(g1^10*y) + t^7.488/(g1^2*y) + (g1^6*t^7.537)/y + t^8.169/(g1^13*y) + t^8.194/(g1^9*y) + (2*t^8.219)/(g1^5*y) + (2*t^8.244)/(g1*y) + (2*g1^3*t^8.269)/y + (3*g1^7*t^8.294)/y + (g1^11*t^8.319)/y + (g1^15*t^8.344)/y - t^8.875/(g1^20*y) + t^8.925/(g1^12*y) + t^8.95/(g1^8*y) + (3*t^8.975)/(g1^4*y) - (t^4.488*y)/g1^2 - (t^6.681*y)/g1^11 + (t^7.438*y)/g1^10 + (t^7.488*y)/g1^2 + g1^6*t^7.537*y + (t^8.169*y)/g1^13 + (t^8.194*y)/g1^9 + (2*t^8.219*y)/g1^5 + (2*t^8.244*y)/g1 + 2*g1^3*t^8.269*y + 3*g1^7*t^8.294*y + g1^11*t^8.319*y + g1^15*t^8.344*y - (t^8.875*y)/g1^20 + (t^8.925*y)/g1^12 + (t^8.95*y)/g1^8 + (3*t^8.975*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
4930 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6065 | 0.7781 | 0.7795 | [M:[1.0, 1.018, 0.9639, 1.2545, 0.7094, 0.7455, 1.0361, 0.982], q:[0.2455, 0.7545], qb:[0.5, 0.5361], phi:[0.491]] | t^2.128 + t^2.236 + t^2.345 + 2*t^2.946 + t^3. + t^3.108 + t^3.709 + t^3.764 + t^3.818 + t^4.257 + t^4.365 + 3*t^4.473 + 2*t^4.581 + 2*t^4.689 + 2*t^5.074 + 2*t^5.182 + t^5.236 + 2*t^5.291 + 2*t^5.345 + t^5.453 + t^5.838 + 3*t^5.892 + 3*t^5.946 - 2*t^6. - t^4.473/y - t^4.473*y | detail | |
4932 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}M_{8}$ | 0.6244 | 0.8114 | 0.7696 | [M:[1.0, 1.0093, 0.9813, 1.2523, 0.729, 0.7477, 1.0187, 0.7477], q:[0.2477, 0.7523], qb:[0.5, 0.5187], phi:[0.4953]] | t^2.187 + 2*t^2.243 + t^2.299 + t^2.972 + t^3. + t^3.028 + t^3.056 + t^3.729 + t^3.785 + t^4.374 + 2*t^4.43 + 5*t^4.486 + 3*t^4.542 + 2*t^4.598 + t^5.159 + 3*t^5.215 + 2*t^5.243 + 3*t^5.271 + 3*t^5.299 + t^5.327 + t^5.355 + t^5.916 + 3*t^5.972 - 2*t^6. - t^4.486/y - t^4.486*y | detail | |
4931 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6241 | 0.811 | 0.7696 | [M:[1.0, 1.005, 0.99, 1.2513, 0.7387, 0.7487, 1.01, 0.7538], q:[0.2487, 0.7513], qb:[0.5, 0.51], phi:[0.4975]] | t^2.216 + t^2.246 + t^2.261 + t^2.276 + t^2.985 + t^3. + t^3.015 + t^3.03 + t^3.754 + t^3.769 + t^4.432 + t^4.462 + t^4.477 + 3*t^4.492 + t^4.508 + 3*t^4.523 + t^4.538 + 2*t^4.553 + t^5.201 + 2*t^5.231 + 2*t^5.246 + 3*t^5.261 + 3*t^5.276 + 2*t^5.291 + t^5.306 + t^5.97 + t^5.985 - t^6. - t^4.492/y - t^4.492*y | detail | |
4933 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6249 | 0.8124 | 0.7692 | [M:[1.0, 1.0127, 0.9745, 1.2532, 0.7213, 0.7468, 1.0255, 0.7341], q:[0.2468, 0.7532], qb:[0.5, 0.5255], phi:[0.4936]] | t^2.164 + t^2.202 + t^2.24 + t^2.317 + t^2.962 + t^3. + t^3.038 + t^3.076 + t^3.721 + t^3.76 + t^4.328 + t^4.366 + 2*t^4.404 + t^4.443 + 3*t^4.481 + t^4.519 + 2*t^4.557 + 2*t^4.634 + t^5.126 + t^5.164 + 3*t^5.202 + 2*t^5.24 + 3*t^5.279 + 2*t^5.317 + t^5.355 + t^5.393 + t^5.885 + 2*t^5.924 + 2*t^5.962 - t^6. - t^4.481/y - t^4.481*y | detail | |
4929 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.605 | 0.7771 | 0.7786 | [M:[1.0, 0.9986, 1.0027, 1.2497, 0.753, 0.7503, 0.9973, 0.9986], q:[0.2503, 0.7497], qb:[0.5, 0.4973], phi:[0.5007]] | t^2.243 + t^2.251 + t^2.259 + t^2.992 + 2*t^2.996 + t^3. + t^3.745 + t^3.749 + t^3.753 + 2*t^4.486 + 2*t^4.494 + 3*t^4.502 + t^4.51 + t^4.518 + t^5.235 + 2*t^5.239 + 2*t^5.243 + 2*t^5.247 + t^5.251 + 2*t^5.255 + t^5.984 + 3*t^5.988 + 3*t^5.992 + 3*t^5.996 - 2*t^6. - t^4.502/y - t^4.502*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2015 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6087 | 0.7818 | 0.7785 | [M:[1.0, 1.0274, 0.9453, 1.2568, 0.6884, 0.7432], q:[0.2432, 0.7568], qb:[0.5, 0.5547], phi:[0.4863]] | t^2.065 + t^2.229 + t^2.394 + t^2.836 + t^2.918 + t^3. + t^3.082 + t^3.688 + t^3.771 + t^3.853 + t^4.13 + t^4.295 + 3*t^4.459 + 2*t^4.623 + 2*t^4.787 + t^4.901 + t^4.983 + t^5.065 + 2*t^5.147 + t^5.229 + 2*t^5.312 + t^5.394 + t^5.476 + t^5.672 + 2*t^5.754 + 2*t^5.836 + 3*t^5.918 - t^6. - t^4.459/y - t^4.459*y | detail |