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 |
|---|---|---|---|---|---|---|---|---|---|
| 2566 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.74 | 0.9294 | 0.7963 | [M:[1.0565, 0.8305, 0.8578, 1.0292, 0.9708, 0.9162, 0.6978, 0.9708], q:[0.5283, 0.4152], qb:[0.614, 0.5555], phi:[0.4717]] | [M:[[2, 2], [-6, -6], [-7, -1], [3, -3], [-3, 3], [-1, -7], [7, 7], [-3, 3]], q:[[1, 1], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$ | ${}$ | -3 | t^2.093 + t^2.491 + t^2.573 + t^2.749 + t^2.83 + 2*t^2.912 + t^3.17 + t^4.187 + t^4.246 + t^4.328 + t^4.503 + 2*t^4.585 + 2*t^4.667 + t^4.749 + 2*t^4.842 + 2*t^4.924 + t^4.983 + 2*t^5.006 + t^5.065 + t^5.099 + t^5.147 + t^5.24 + t^5.263 + 2*t^5.322 + 2*t^5.404 + 2*t^5.486 + t^5.497 + 3*t^5.661 + 2*t^5.743 + 2*t^5.825 - 3*t^6. + t^6.082 - t^6.175 - t^6.257 + t^6.28 + 2*t^6.678 + t^6.737 + 2*t^6.76 + t^6.819 + t^6.842 + t^6.901 + 2*t^6.935 + t^6.994 + 2*t^7.017 + 3*t^7.076 + 2*t^7.099 + 4*t^7.158 + t^7.192 + 4*t^7.24 + t^7.251 + t^7.322 + 2*t^7.333 + t^7.356 + 4*t^7.415 + t^7.474 + 5*t^7.497 + t^7.556 + 4*t^7.579 + 2*t^7.591 + t^7.638 + 2*t^7.661 + t^7.672 + t^7.72 + t^7.732 + 2*t^7.754 + 2*t^7.813 + 2*t^7.836 + t^7.848 + 3*t^7.895 + 2*t^7.918 + 2*t^7.977 + t^7.989 + 2*t^8.059 + t^8.071 - 4*t^8.093 + 2*t^8.152 + 3*t^8.234 + t^8.246 - t^8.269 + 3*t^8.316 - 2*t^8.35 + t^8.373 + 2*t^8.398 + t^8.41 - 3*t^8.491 - t^8.573 + 2*t^8.655 + 2*t^8.737 - 6*t^8.749 + 2*t^8.771 - 3*t^8.83 + 2*t^8.853 - 6*t^8.912 - t^8.924 + t^8.935 + t^8.994 - t^4.415/y - t^6.509/y - t^6.907/y - t^6.989/y - t^7.164/y - t^7.328/y + t^7.503/y + t^7.585/y + (2*t^7.667)/y + (2*t^7.842)/y + (2*t^7.924)/y + (2*t^8.006)/y + t^8.065/y + t^8.24/y + t^8.263/y + (3*t^8.322)/y + (3*t^8.404)/y + (2*t^8.486)/y + t^8.579/y - t^8.602/y + (3*t^8.661)/y + (3*t^8.743)/y + t^8.825/y + t^8.918/y - t^4.415*y - t^6.509*y - t^6.907*y - t^6.989*y - t^7.164*y - t^7.328*y + t^7.503*y + t^7.585*y + 2*t^7.667*y + 2*t^7.842*y + 2*t^7.924*y + 2*t^8.006*y + t^8.065*y + t^8.24*y + t^8.263*y + 3*t^8.322*y + 3*t^8.404*y + 2*t^8.486*y + t^8.579*y - t^8.602*y + 3*t^8.661*y + 3*t^8.743*y + t^8.825*y + t^8.918*y | g1^7*g2^7*t^2.093 + t^2.491/(g1^6*g2^6) + t^2.573/(g1^7*g2) + t^2.749/(g1*g2^7) + t^2.83/(g1^2*g2^2) + (2*g2^3*t^2.912)/g1^3 + g1^2*g2^2*t^3.17 + g1^14*g2^14*t^4.187 + t^4.246/(g1^3*g2^3) + (g2^2*t^4.328)/g1^4 + (g1^2*t^4.503)/g2^4 + 2*g1*g2*t^4.585 + 2*g2^6*t^4.667 + (g2^11*t^4.749)/g1 + 2*g1^6*t^4.842 + 2*g1^5*g2^5*t^4.924 + t^4.983/(g1^12*g2^12) + 2*g1^4*g2^10*t^5.006 + t^5.065/(g1^13*g2^7) + (g1^11*t^5.099)/g2 + t^5.147/(g1^14*g2^2) + t^5.24/(g1^7*g2^13) + g1^9*g2^9*t^5.263 + (2*t^5.322)/(g1^8*g2^8) + (2*t^5.404)/(g1^9*g2^3) + (2*g2^2*t^5.486)/g1^10 + t^5.497/(g1^2*g2^14) + (3*t^5.661)/(g1^4*g2^4) + (2*g2*t^5.743)/g1^5 + (2*g2^6*t^5.825)/g1^6 - 3*t^6. + (g2^5*t^6.082)/g1 - (g1^6*t^6.175)/g2^6 - (g1^5*t^6.257)/g2 + g1^21*g2^21*t^6.28 + 2*g1^8*g2^8*t^6.678 + t^6.737/(g1^9*g2^9) + 2*g1^7*g2^13*t^6.76 + t^6.819/(g1^10*g2^4) + g1^6*g2^18*t^6.842 + (g2*t^6.901)/g1^11 + 2*g1^13*g2^7*t^6.935 + t^6.994/(g1^4*g2^10) + 2*g1^12*g2^12*t^7.017 + (3*t^7.076)/(g1^5*g2^5) + 2*g1^11*g2^17*t^7.099 + (4*t^7.158)/g1^6 + g1^18*g2^6*t^7.192 + (4*g2^5*t^7.24)/g1^7 + (g1*t^7.251)/g2^11 + (g2^10*t^7.322)/g1^8 + (2*t^7.333)/g2^6 + g1^16*g2^16*t^7.356 + (4*t^7.415)/(g1*g2) + t^7.474/(g1^18*g2^18) + (5*g2^4*t^7.497)/g1^2 + t^7.556/(g1^19*g2^13) + (4*g2^9*t^7.579)/g1^3 + (2*g1^5*t^7.591)/g2^7 + t^7.638/(g1^20*g2^8) + (2*g2^14*t^7.661)/g1^4 + (g1^4*t^7.672)/g2^2 + t^7.72/(g1^21*g2^3) + t^7.732/(g1^13*g2^19) + 2*g1^3*g2^3*t^7.754 + (2*t^7.813)/(g1^14*g2^14) + 2*g1^2*g2^8*t^7.836 + (g1^10*t^7.848)/g2^8 + (3*t^7.895)/(g1^15*g2^9) + 2*g1*g2^13*t^7.918 + (2*t^7.977)/(g1^16*g2^4) + t^7.989/(g1^8*g2^20) + (2*g2*t^8.059)/g1^17 + t^8.071/(g1^9*g2^15) - 4*g1^7*g2^7*t^8.093 + (2*t^8.152)/(g1^10*g2^10) + (3*t^8.234)/(g1^11*g2^5) + t^8.246/(g1^3*g2^21) - g1^13*g2*t^8.269 + (3*t^8.316)/g1^12 - 2*g1^12*g2^6*t^8.35 + g1^28*g2^28*t^8.373 + (2*g2^5*t^8.398)/g1^13 + t^8.41/(g1^5*g2^11) - (3*t^8.491)/(g1^6*g2^6) - t^8.573/(g1^7*g2) + (2*g2^4*t^8.655)/g1^8 + (2*g2^9*t^8.737)/g1^9 - (6*t^8.749)/(g1*g2^7) + 2*g1^15*g2^15*t^8.771 - (3*t^8.83)/(g1^2*g2^2) + 2*g1^14*g2^20*t^8.853 - (6*g2^3*t^8.912)/g1^3 - (g1^5*t^8.924)/g2^13 + g1^13*g2^25*t^8.935 + (g2^8*t^8.994)/g1^4 - t^4.415/(g1*g2*y) - (g1^6*g2^6*t^6.509)/y - t^6.907/(g1^7*g2^7*y) - t^6.989/(g1^8*g2^2*y) - t^7.164/(g1^2*g2^8*y) - (g2^2*t^7.328)/(g1^4*y) + (g1^2*t^7.503)/(g2^4*y) + (g1*g2*t^7.585)/y + (2*g2^6*t^7.667)/y + (2*g1^6*t^7.842)/y + (2*g1^5*g2^5*t^7.924)/y + (2*g1^4*g2^10*t^8.006)/y + t^8.065/(g1^13*g2^7*y) + t^8.24/(g1^7*g2^13*y) + (g1^9*g2^9*t^8.263)/y + (3*t^8.322)/(g1^8*g2^8*y) + (3*t^8.404)/(g1^9*g2^3*y) + (2*g2^2*t^8.486)/(g1^10*y) + t^8.579/(g1^3*g2^9*y) - (g1^13*g2^13*t^8.602)/y + (3*t^8.661)/(g1^4*g2^4*y) + (3*g2*t^8.743)/(g1^5*y) + (g2^6*t^8.825)/(g1^6*y) + (g1*t^8.918)/(g2^5*y) - (t^4.415*y)/(g1*g2) - g1^6*g2^6*t^6.509*y - (t^6.907*y)/(g1^7*g2^7) - (t^6.989*y)/(g1^8*g2^2) - (t^7.164*y)/(g1^2*g2^8) - (g2^2*t^7.328*y)/g1^4 + (g1^2*t^7.503*y)/g2^4 + g1*g2*t^7.585*y + 2*g2^6*t^7.667*y + 2*g1^6*t^7.842*y + 2*g1^5*g2^5*t^7.924*y + 2*g1^4*g2^10*t^8.006*y + (t^8.065*y)/(g1^13*g2^7) + (t^8.24*y)/(g1^7*g2^13) + g1^9*g2^9*t^8.263*y + (3*t^8.322*y)/(g1^8*g2^8) + (3*t^8.404*y)/(g1^9*g2^3) + (2*g2^2*t^8.486*y)/g1^10 + (t^8.579*y)/(g1^3*g2^9) - g1^13*g2^13*t^8.602*y + (3*t^8.661*y)/(g1^4*g2^4) + (3*g2*t^8.743*y)/g1^5 + (g2^6*t^8.825*y)/g1^6 + (g1*t^8.918*y)/g2^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4658 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ | 0.6866 | 0.8552 | 0.8029 | [X:[1.3333], M:[1.1111, 0.6667, 0.7468, 1.031, 0.969, 0.8088, 0.8889, 0.969], q:[0.5556, 0.3333], qb:[0.6976, 0.6357], phi:[0.4444]] | t^2.24 + t^2.426 + 2*t^2.667 + 2*t^2.907 + t^3.333 + 2*t^4. + t^4.24 + t^4.426 + t^4.481 + 2*t^4.667 + t^4.853 + 2*t^4.907 + 2*t^5.093 + 3*t^5.147 + 5*t^5.333 + t^5.519 + 4*t^5.574 + 2*t^5.814 - 2*t^6. - t^4.333/y - t^4.333*y | detail | |
| 4660 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{5}^{2}$ | 0.7387 | 0.9262 | 0.7975 | [M:[1.0564, 0.8307, 0.8871, 1.0, 1.0, 0.8871, 0.6975, 1.0], q:[0.5282, 0.4153], qb:[0.5847, 0.5847], phi:[0.4718]] | t^2.093 + t^2.492 + 2*t^2.661 + t^2.831 + 2*t^3. + t^3.169 + t^4.185 + t^4.246 + 2*t^4.415 + 2*t^4.585 + 4*t^4.754 + 4*t^4.923 + t^4.984 + 2*t^5.093 + 2*t^5.153 + t^5.262 + 4*t^5.323 + 2*t^5.492 + 5*t^5.661 + 2*t^5.831 - 2*t^6. - t^4.415/y - t^4.415*y | detail | |
| 4649 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ | 0.6411 | 0.8038 | 0.7976 | [X:[1.4286], M:[1.1429, 0.5714, 0.6822, 1.0321, 0.9679, 0.7464, 1.0, 0.9679], q:[0.5714, 0.2857], qb:[0.7464, 0.6822], phi:[0.4286]] | t^2.047 + t^2.239 + t^2.571 + 2*t^2.904 + t^3. + t^3.429 + t^3.857 + t^4.093 + t^4.189 + 2*t^4.286 + t^4.382 + t^4.478 + t^4.714 + 2*t^4.95 + 2*t^5.047 + 2*t^5.143 + 2*t^5.239 + t^5.379 + 2*t^5.475 + 2*t^5.571 + t^5.764 + 2*t^5.807 + 2*t^5.904 - 2*t^6. - t^4.286/y - t^4.286*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1466 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7387 | 0.9262 | 0.7975 | [M:[1.0564, 0.8307, 0.8871, 1.0, 1.0, 0.8871, 0.6975], q:[0.5282, 0.4153], qb:[0.5847, 0.5847], phi:[0.4718]] | t^2.093 + t^2.492 + 2*t^2.661 + t^2.831 + 2*t^3. + t^3.169 + t^4.185 + t^4.246 + 2*t^4.415 + 2*t^4.585 + 4*t^4.754 + 4*t^4.923 + t^4.984 + 2*t^5.093 + 2*t^5.153 + t^5.262 + 4*t^5.323 + 2*t^5.492 + 5*t^5.661 + 2*t^5.831 - 2*t^6. - t^4.415/y - t^4.415*y | detail |