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 |
|---|---|---|---|---|---|---|---|---|---|
| 2273 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.7006 | 0.8845 | 0.792 | [M:[1.0, 1.1663, 0.9429, 0.8337, 0.7791, 0.7221, 0.8337], q:[0.7779, 0.3883], qb:[0.6117, 0.4454], phi:[0.4442]] | [M:[[0], [-3], [-11], [3], [10], [-1], [3]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.166 + t^2.337 + 2*t^2.501 + t^2.665 + t^2.829 + t^3. + t^3.67 + t^4.005 + t^4.169 + 2*t^4.333 + 2*t^4.504 + 2*t^4.667 + t^4.675 + t^4.831 + 2*t^4.839 + t^4.995 + 5*t^5.002 + 4*t^5.166 + 2*t^5.33 + t^5.337 + t^5.494 + t^5.501 + t^5.658 + t^5.665 + t^5.836 - 2*t^6. + t^6.007 - t^6.164 + 2*t^6.171 + t^6.335 + t^6.342 + t^6.499 + 3*t^6.506 - t^6.663 + 5*t^6.67 + 3*t^6.834 + 2*t^6.841 + t^6.998 + 4*t^7.005 + t^7.012 + t^7.161 + 5*t^7.169 + 2*t^7.176 + 3*t^7.333 + 5*t^7.34 + 2*t^7.496 + 8*t^7.504 + t^7.66 + 5*t^7.667 + 2*t^7.675 + t^7.824 + 4*t^7.831 + t^7.839 + 3*t^7.995 + 2*t^8.002 + t^8.01 + 2*t^8.159 - 3*t^8.166 + 2*t^8.174 + t^8.323 - t^8.33 - t^8.337 + t^8.345 + t^8.486 - 5*t^8.501 + 3*t^8.509 - 3*t^8.665 + 5*t^8.672 + t^8.68 - 4*t^8.829 + 2*t^8.836 + 3*t^8.844 - t^8.993 - t^4.333/y - t^6.499/y - t^6.67/y - t^6.834/y - t^6.998/y - t^7.161/y + (2*t^7.504)/y + (3*t^7.667)/y + (2*t^7.831)/y + (2*t^7.839)/y + (2*t^7.995)/y + (2*t^8.002)/y + (5*t^8.166)/y + (2*t^8.33)/y + t^8.337/y + t^8.494/y + (2*t^8.501)/y + t^8.829/y - t^4.333*y - t^6.499*y - t^6.67*y - t^6.834*y - t^6.998*y - t^7.161*y + 2*t^7.504*y + 3*t^7.667*y + 2*t^7.831*y + 2*t^7.839*y + 2*t^7.995*y + 2*t^8.002*y + 5*t^8.166*y + 2*t^8.33*y + t^8.337*y + t^8.494*y + 2*t^8.501*y + t^8.829*y | t^2.166/g1 + g1^10*t^2.337 + 2*g1^3*t^2.501 + t^2.665/g1^4 + t^2.829/g1^11 + t^3. + g1^8*t^3.67 + g1^12*t^4.005 + g1^5*t^4.169 + (2*t^4.333)/g1^2 + 2*g1^9*t^4.504 + 2*g1^2*t^4.667 + g1^20*t^4.675 + t^4.831/g1^5 + 2*g1^13*t^4.839 + t^4.995/g1^12 + 5*g1^6*t^5.002 + (4*t^5.166)/g1 + (2*t^5.33)/g1^8 + g1^10*t^5.337 + t^5.494/g1^15 + g1^3*t^5.501 + t^5.658/g1^22 + t^5.665/g1^4 + g1^7*t^5.836 - 2*t^6. + g1^18*t^6.007 - t^6.164/g1^7 + 2*g1^11*t^6.171 + g1^4*t^6.335 + g1^22*t^6.342 + t^6.499/g1^3 + 3*g1^15*t^6.506 - t^6.663/g1^10 + 5*g1^8*t^6.67 + 3*g1*t^6.834 + 2*g1^19*t^6.841 + t^6.998/g1^6 + 4*g1^12*t^7.005 + g1^30*t^7.012 + t^7.161/g1^13 + 5*g1^5*t^7.169 + 2*g1^23*t^7.176 + (3*t^7.333)/g1^2 + 5*g1^16*t^7.34 + (2*t^7.496)/g1^9 + 8*g1^9*t^7.504 + t^7.66/g1^16 + 5*g1^2*t^7.667 + 2*g1^20*t^7.675 + t^7.824/g1^23 + (4*t^7.831)/g1^5 + g1^13*t^7.839 + (3*t^7.995)/g1^12 + 2*g1^6*t^8.002 + g1^24*t^8.01 + (2*t^8.159)/g1^19 - (3*t^8.166)/g1 + 2*g1^17*t^8.174 + t^8.323/g1^26 - t^8.33/g1^8 - g1^10*t^8.337 + g1^28*t^8.345 + t^8.486/g1^33 - 5*g1^3*t^8.501 + 3*g1^21*t^8.509 - (3*t^8.665)/g1^4 + 5*g1^14*t^8.672 + g1^32*t^8.68 - (4*t^8.829)/g1^11 + 2*g1^7*t^8.836 + 3*g1^25*t^8.844 - t^8.993/g1^18 - t^4.333/(g1^2*y) - t^6.499/(g1^3*y) - (g1^8*t^6.67)/y - (g1*t^6.834)/y - t^6.998/(g1^6*y) - t^7.161/(g1^13*y) + (2*g1^9*t^7.504)/y + (3*g1^2*t^7.667)/y + (2*t^7.831)/(g1^5*y) + (2*g1^13*t^7.839)/y + (2*t^7.995)/(g1^12*y) + (2*g1^6*t^8.002)/y + (5*t^8.166)/(g1*y) + (2*t^8.33)/(g1^8*y) + (g1^10*t^8.337)/y + t^8.494/(g1^15*y) + (2*g1^3*t^8.501)/y + t^8.829/(g1^11*y) - (t^4.333*y)/g1^2 - (t^6.499*y)/g1^3 - g1^8*t^6.67*y - g1*t^6.834*y - (t^6.998*y)/g1^6 - (t^7.161*y)/g1^13 + 2*g1^9*t^7.504*y + 3*g1^2*t^7.667*y + (2*t^7.831*y)/g1^5 + 2*g1^13*t^7.839*y + (2*t^7.995*y)/g1^12 + 2*g1^6*t^8.002*y + (5*t^8.166*y)/g1 + (2*t^8.33*y)/g1^8 + g1^10*t^8.337*y + (t^8.494*y)/g1^15 + 2*g1^3*t^8.501*y + (t^8.829*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 |
|---|---|---|---|---|---|---|---|---|
| 4286 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ | 0.5902 | 0.7297 | 0.8089 | [X:[1.3846], M:[1.0, 1.0769, 0.6154, 0.9231, 1.0769, 0.6923, 0.9231], q:[0.8077, 0.2692], qb:[0.7308, 0.6538], phi:[0.3846]] | t^2.077 + t^2.308 + 2*t^2.769 + t^3. + t^3.231 + 3*t^4.154 + 2*t^4.385 + t^4.615 + t^4.846 + 4*t^5.077 + 3*t^5.308 + 4*t^5.538 - t^6. - t^4.154/y - t^4.154*y | detail | {a: 399/676, c: 1973/2704, X1: 18/13, M1: 1, M2: 14/13, M3: 8/13, M4: 12/13, M5: 14/13, M6: 9/13, M7: 12/13, q1: 21/26, q2: 7/26, qb1: 19/26, qb2: 17/26, phi1: 5/13} |
| 4284 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}^{2}$ | 0.6505 | 0.8193 | 0.794 | [M:[1.0, 1.1, 0.7, 0.9, 1.0, 0.7, 0.9], q:[0.8, 0.3], qb:[0.7, 0.6], phi:[0.4]] | 2*t^2.1 + t^2.4 + 2*t^2.7 + 2*t^3. + 5*t^4.2 + 3*t^4.5 + 5*t^4.8 + 6*t^5.1 + 6*t^5.4 + 2*t^5.7 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 20817/32000, c: 26217/32000, M1: 1, M2: 11/10, M3: 7/10, M4: 9/10, M5: 1, M6: 7/10, M7: 9/10, q1: 4/5, q2: 3/10, qb1: 7/10, qb2: 3/5, phi1: 2/5} |
| 4293 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7187 | 0.9163 | 0.7844 | [M:[1.0, 1.161, 0.9235, 0.839, 0.7968, 0.7203, 0.839, 0.7626], q:[0.7797, 0.3813], qb:[0.6187, 0.4578], phi:[0.4406]] | t^2.161 + t^2.288 + t^2.39 + 2*t^2.517 + t^2.644 + t^2.771 + t^3. + t^4.069 + t^4.195 + 2*t^4.322 + t^4.449 + 2*t^4.551 + t^4.575 + 3*t^4.678 + t^4.781 + 3*t^4.805 + 2*t^4.908 + 2*t^4.931 + 5*t^5.034 + t^5.058 + 4*t^5.161 + 3*t^5.288 + t^5.39 + t^5.414 + t^5.517 + t^5.541 + t^5.644 - 2*t^6. - t^4.322/y - t^4.322*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1231 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6864 | 0.8594 | 0.7987 | [M:[1.0, 1.1632, 0.9317, 0.8368, 0.7894, 0.7211], q:[0.7789, 0.3843], qb:[0.6157, 0.4526], phi:[0.4421]] | t^2.163 + t^2.368 + t^2.51 + t^2.653 + t^2.795 + t^3. + t^3.49 + t^3.694 + t^4.042 + t^4.184 + 2*t^4.326 + 2*t^4.531 + t^4.674 + t^4.736 + t^4.816 + t^4.879 + t^4.958 + 3*t^5.021 + 3*t^5.163 + t^5.306 + t^5.368 + t^5.448 + t^5.59 + 2*t^5.653 + 2*t^5.858 - t^6. - t^4.326/y - t^4.326*y | detail |