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 |
|---|---|---|---|---|---|---|---|---|---|
| 1619 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6762 | 0.8432 | 0.8019 | [M:[1.168, 1.1093, 0.9495, 1.0, 0.832, 0.7227, 0.7732], q:[0.7773, 0.4412], qb:[0.3907, 0.6093], phi:[0.4454]] | [M:[[-3], [4], [-11], [0], [3], [-1], [10]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$ | ${}$ | -1 | t^2.168 + t^2.32 + t^2.496 + t^2.848 + t^3. + t^3.328 + t^3.504 + t^3.656 + t^3.983 + t^4.16 + 2*t^4.336 + 2*t^4.488 + t^4.639 + t^4.664 + t^4.815 + 2*t^4.992 + t^5.017 + 2*t^5.168 + t^5.32 + t^5.496 + t^5.647 + t^5.672 + t^5.697 + 3*t^5.824 + t^5.975 - t^6. + t^6.152 + t^6.303 + t^6.328 + t^6.353 + 2*t^6.479 + 2*t^6.504 + 4*t^6.656 - t^6.68 + 2*t^6.807 + t^6.832 + t^6.959 + 3*t^6.983 + t^7.135 + 2*t^7.16 + t^7.185 + 3*t^7.311 + t^7.336 + 4*t^7.488 + 2*t^7.639 + t^7.664 + 2*t^7.815 + t^7.84 + t^7.865 + 2*t^7.967 + 3*t^7.992 + t^8.017 + 4*t^8.143 - 3*t^8.168 + t^8.295 + t^8.32 - t^8.344 + 2*t^8.471 + t^8.521 + t^8.545 + t^8.623 + 3*t^8.647 + 2*t^8.672 + 2*t^8.799 + 2*t^8.824 - 3*t^8.848 + 6*t^8.975 - t^4.336/y - t^6.504/y - t^6.656/y - t^7.185/y + (2*t^7.488)/y + t^7.664/y + t^7.815/y + (2*t^8.017)/y + (3*t^8.168)/y + t^8.32/y + t^8.344/y + (2*t^8.496)/y + t^8.647/y + (2*t^8.824)/y + t^8.848/y - t^4.336*y - t^6.504*y - t^6.656*y - t^7.185*y + 2*t^7.488*y + t^7.664*y + t^7.815*y + 2*t^8.017*y + 3*t^8.168*y + t^8.32*y + t^8.344*y + 2*t^8.496*y + t^8.647*y + 2*t^8.824*y + t^8.848*y | t^2.168/g1 + g1^10*t^2.32 + g1^3*t^2.496 + t^2.848/g1^11 + t^3. + g1^4*t^3.328 + t^3.504/g1^3 + g1^8*t^3.656 + g1^12*t^3.983 + g1^5*t^4.16 + (2*t^4.336)/g1^2 + 2*g1^9*t^4.488 + g1^20*t^4.639 + g1^2*t^4.664 + g1^13*t^4.815 + 2*g1^6*t^4.992 + t^5.017/g1^12 + (2*t^5.168)/g1 + g1^10*t^5.32 + g1^3*t^5.496 + g1^14*t^5.647 + t^5.672/g1^4 + t^5.697/g1^22 + 3*g1^7*t^5.824 + g1^18*t^5.975 - t^6. + g1^11*t^6.152 + g1^22*t^6.303 + g1^4*t^6.328 + t^6.353/g1^14 + 2*g1^15*t^6.479 + (2*t^6.504)/g1^3 + 4*g1^8*t^6.656 - t^6.68/g1^10 + 2*g1^19*t^6.807 + g1*t^6.832 + g1^30*t^6.959 + 3*g1^12*t^6.983 + g1^23*t^7.135 + 2*g1^5*t^7.16 + t^7.185/g1^13 + 3*g1^16*t^7.311 + t^7.336/g1^2 + 4*g1^9*t^7.488 + 2*g1^20*t^7.639 + g1^2*t^7.664 + 2*g1^13*t^7.815 + t^7.84/g1^5 + t^7.865/g1^23 + 2*g1^24*t^7.967 + 3*g1^6*t^7.992 + t^8.017/g1^12 + 4*g1^17*t^8.143 - (3*t^8.168)/g1 + g1^28*t^8.295 + g1^10*t^8.32 - t^8.344/g1^8 + 2*g1^21*t^8.471 + t^8.521/g1^15 + t^8.545/g1^33 + g1^32*t^8.623 + 3*g1^14*t^8.647 + (2*t^8.672)/g1^4 + 2*g1^25*t^8.799 + 2*g1^7*t^8.824 - (3*t^8.848)/g1^11 + 6*g1^18*t^8.975 - t^4.336/(g1^2*y) - t^6.504/(g1^3*y) - (g1^8*t^6.656)/y - t^7.185/(g1^13*y) + (2*g1^9*t^7.488)/y + (g1^2*t^7.664)/y + (g1^13*t^7.815)/y + (2*t^8.017)/(g1^12*y) + (3*t^8.168)/(g1*y) + (g1^10*t^8.32)/y + t^8.344/(g1^8*y) + (2*g1^3*t^8.496)/y + (g1^14*t^8.647)/y + (2*g1^7*t^8.824)/y + t^8.848/(g1^11*y) - (t^4.336*y)/g1^2 - (t^6.504*y)/g1^3 - g1^8*t^6.656*y - (t^7.185*y)/g1^13 + 2*g1^9*t^7.488*y + g1^2*t^7.664*y + g1^13*t^7.815*y + (2*t^8.017*y)/g1^12 + (3*t^8.168*y)/g1 + g1^10*t^8.32*y + (t^8.344*y)/g1^8 + 2*g1^3*t^8.496*y + g1^14*t^8.647*y + 2*g1^7*t^8.824*y + (t^8.848*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4012 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{8}$ | 0.6908 | 0.8692 | 0.7947 | [M:[1.1711, 1.1052, 0.9606, 1.0, 0.8289, 0.7237, 0.7631, 0.8289], q:[0.7763, 0.4342], qb:[0.3948, 0.6052], phi:[0.4474]] | t^2.171 + t^2.289 + 2*t^2.487 + t^2.882 + t^3. + t^3.316 + t^3.631 + t^3.947 + t^4.145 + 2*t^4.342 + 2*t^4.46 + t^4.578 + 2*t^4.658 + 2*t^4.776 + 4*t^4.974 + t^5.053 + 2*t^5.171 + t^5.289 + t^5.369 + 2*t^5.487 + t^5.605 + t^5.764 + 3*t^5.802 + t^5.921 - 2*t^6. - t^4.342/y - t^4.342*y | detail | |
| 4011 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6249 | 0.7749 | 0.8064 | [M:[1.1, 1.2, 0.7, 1.0, 0.9, 0.7, 1.0], q:[0.8, 0.6], qb:[0.3, 0.7], phi:[0.4]] | 2*t^2.1 + t^2.7 + 2*t^3. + t^3.3 + t^3.6 + 5*t^4.2 + t^4.5 + 2*t^4.8 + 4*t^5.1 + 4*t^5.4 + 2*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 9999/16000, c: 12399/16000, M1: 11/10, M2: 6/5, M3: 7/10, M4: 1, M5: 9/10, M6: 7/10, M7: 1, q1: 4/5, q2: 3/5, qb1: 3/10, qb2: 7/10, phi1: 2/5} |
| 4013 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6971 | 0.8846 | 0.788 | [M:[1.1677, 1.1098, 0.9481, 1.0, 0.8323, 0.7226, 0.7745, 0.6706], q:[0.7774, 0.4421], qb:[0.3902, 0.6098], phi:[0.4451]] | t^2.012 + t^2.168 + t^2.323 + t^2.497 + t^2.844 + t^3. + t^3.329 + t^3.503 + t^3.659 + t^4.024 + t^4.162 + t^4.18 + 3*t^4.335 + 2*t^4.491 + t^4.509 + t^4.647 + t^4.665 + t^4.82 + t^4.856 + 2*t^4.994 + 2*t^5.012 + 2*t^5.168 + t^5.323 + t^5.341 + t^5.497 + t^5.515 + t^5.653 + 2*t^5.671 + t^5.688 + 3*t^5.826 + t^5.982 - t^6. - t^4.335/y - t^4.335*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1038 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.659 | 0.8115 | 0.8121 | [M:[1.159, 1.1213, 0.9165, 1.0, 0.841, 0.7197], q:[0.7803, 0.4622], qb:[0.3787, 0.6213], phi:[0.4394]] | t^2.159 + t^2.523 + t^2.749 + t^3. + t^3.364 + t^3.477 + t^3.59 + t^3.728 + t^4.092 + t^4.205 + 2*t^4.318 + t^4.569 + t^4.682 + t^4.908 + 2*t^5.046 + t^5.159 + t^5.499 + t^5.523 + t^5.636 + t^5.749 + 2*t^5.887 - t^6. - t^4.318/y - t^4.318*y | detail |