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 |
|---|---|---|---|---|---|---|---|---|---|
| 4703 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}^{2}$ | 0.674 | 0.8465 | 0.7962 | [X:[1.2808], M:[1.1987, 0.7192, 1.0, 0.9179, 1.0821, 0.8358, 0.8013, 0.8013], q:[0.4417, 0.3596], qb:[0.5583, 0.7225], phi:[0.4795]] | [X:[[6]], M:[[-10], [-6], [0], [-16], [16], [-32], [10], [10]], q:[[13], [-3]], qb:[[-13], [19]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.404 + t^2.507 + t^2.754 + t^2.877 + t^3. + t^3.246 + 2*t^3.842 + t^4.089 + t^4.192 + t^4.438 + t^4.685 + t^4.788 + 3*t^4.808 + t^4.911 + t^4.931 + t^5.015 + t^5.158 + t^5.261 + 3*t^5.281 + t^5.384 + t^5.404 + t^5.507 + t^5.631 + t^5.65 + 2*t^5.754 + t^5.773 + t^5.877 - 2*t^6. + t^6.123 + 3*t^6.246 + 2*t^6.493 + 2*t^6.596 + t^6.7 + t^6.719 + 2*t^6.842 + t^6.946 + t^7.069 + 2*t^7.089 + 3*t^7.192 + 3*t^7.212 + t^7.296 + t^7.315 + 2*t^7.335 + t^7.419 + t^7.522 + t^7.542 + t^7.562 + 2*t^7.665 + 6*t^7.685 + t^7.769 + 2*t^7.788 + t^7.808 + t^7.892 - t^7.911 + 2*t^7.931 + t^8.015 + 2*t^8.034 + t^8.138 + 2*t^8.158 + 3*t^8.177 + 2*t^8.261 + 3*t^8.281 + t^8.384 - 7*t^8.404 - t^8.507 + 3*t^8.527 + 4*t^8.631 + 4*t^8.65 - 3*t^8.754 + 2*t^8.773 - t^8.877 + 2*t^8.897 + t^8.98 - t^4.438/y - t^6.842/y - t^6.946/y - t^7.315/y + t^7.562/y + t^7.808/y + (2*t^7.911)/y + t^7.931/y + t^8.034/y + (2*t^8.158)/y + t^8.261/y + (2*t^8.281)/y + t^8.384/y + (2*t^8.404)/y + t^8.507/y + t^8.631/y + (2*t^8.65)/y + (2*t^8.754)/y + t^8.877/y - t^4.438*y - t^6.842*y - t^6.946*y - t^7.315*y + t^7.562*y + t^7.808*y + 2*t^7.911*y + t^7.931*y + t^8.034*y + 2*t^8.158*y + t^8.261*y + 2*t^8.281*y + t^8.384*y + 2*t^8.404*y + t^8.507*y + t^8.631*y + 2*t^8.65*y + 2*t^8.754*y + t^8.877*y | 2*g1^10*t^2.404 + t^2.507/g1^32 + t^2.754/g1^16 + t^2.877/g1^8 + t^3. + g1^16*t^3.246 + 2*g1^6*t^3.842 + g1^22*t^4.089 + t^4.192/g1^20 + t^4.438/g1^4 + g1^12*t^4.685 + t^4.788/g1^30 + 3*g1^20*t^4.808 + t^4.911/g1^22 + g1^28*t^4.931 + t^5.015/g1^64 + t^5.158/g1^6 + t^5.261/g1^48 + 3*g1^2*t^5.281 + t^5.384/g1^40 + g1^10*t^5.404 + t^5.507/g1^32 + t^5.631/g1^24 + g1^26*t^5.65 + (2*t^5.754)/g1^16 + g1^34*t^5.773 + t^5.877/g1^8 - 2*t^6. + g1^8*t^6.123 + 3*g1^16*t^6.246 + 2*g1^32*t^6.493 + (2*t^6.596)/g1^10 + t^6.7/g1^52 + t^6.719/g1^2 + 2*g1^6*t^6.842 + t^6.946/g1^36 + t^7.069/g1^28 + 2*g1^22*t^7.089 + (3*t^7.192)/g1^20 + 3*g1^30*t^7.212 + t^7.296/g1^62 + t^7.315/g1^12 + 2*g1^38*t^7.335 + t^7.419/g1^54 + t^7.522/g1^96 + t^7.542/g1^46 + g1^4*t^7.562 + (2*t^7.665)/g1^38 + 6*g1^12*t^7.685 + t^7.769/g1^80 + (2*t^7.788)/g1^30 + g1^20*t^7.808 + t^7.892/g1^72 - t^7.911/g1^22 + 2*g1^28*t^7.931 + t^8.015/g1^64 + (2*t^8.034)/g1^14 + t^8.138/g1^56 + (2*t^8.158)/g1^6 + 3*g1^44*t^8.177 + (2*t^8.261)/g1^48 + 3*g1^2*t^8.281 + t^8.384/g1^40 - 7*g1^10*t^8.404 - t^8.507/g1^32 + 3*g1^18*t^8.527 + (4*t^8.631)/g1^24 + 4*g1^26*t^8.65 - (3*t^8.754)/g1^16 + 2*g1^34*t^8.773 - t^8.877/g1^8 + 2*g1^42*t^8.897 + t^8.98/g1^50 - t^4.438/(g1^4*y) - (g1^6*t^6.842)/y - t^6.946/(g1^36*y) - t^7.315/(g1^12*y) + (g1^4*t^7.562)/y + (g1^20*t^7.808)/y + (2*t^7.911)/(g1^22*y) + (g1^28*t^7.931)/y + t^8.034/(g1^14*y) + (2*t^8.158)/(g1^6*y) + t^8.261/(g1^48*y) + (2*g1^2*t^8.281)/y + t^8.384/(g1^40*y) + (2*g1^10*t^8.404)/y + t^8.507/(g1^32*y) + t^8.631/(g1^24*y) + (2*g1^26*t^8.65)/y + (2*t^8.754)/(g1^16*y) + t^8.877/(g1^8*y) - (t^4.438*y)/g1^4 - g1^6*t^6.842*y - (t^6.946*y)/g1^36 - (t^7.315*y)/g1^12 + g1^4*t^7.562*y + g1^20*t^7.808*y + (2*t^7.911*y)/g1^22 + g1^28*t^7.931*y + (t^8.034*y)/g1^14 + (2*t^8.158*y)/g1^6 + (t^8.261*y)/g1^48 + 2*g1^2*t^8.281*y + (t^8.384*y)/g1^40 + 2*g1^10*t^8.404*y + (t^8.507*y)/g1^32 + (t^8.631*y)/g1^24 + 2*g1^26*t^8.65*y + (2*t^8.754*y)/g1^16 + (t^8.877*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6266 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}^{2}$ + ${ }M_{3}M_{4}$ | 0.6577 | 0.8296 | 0.7928 | [X:[1.25], M:[1.25, 0.75, 1.0, 1.0, 1.0, 1.0, 0.75, 0.75], q:[0.375, 0.375], qb:[0.625, 0.625], phi:[0.5]] | 2*t^2.25 + 5*t^3. + 3*t^3.75 + 7*t^4.5 + 9*t^5.25 + 12*t^6. - t^4.5/y - t^4.5*y | detail | {a: 1347/2048, c: 1699/2048, X1: 5/4, M1: 5/4, M2: 3/4, M3: 1, M4: 1, M5: 1, M6: 1, M7: 3/4, M8: 3/4, q1: 3/8, q2: 3/8, qb1: 5/8, qb2: 5/8, phi1: 1/2} |
| 6264 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{8}$ | 0.6606 | 0.8336 | 0.7924 | [X:[1.3077], M:[1.1538, 0.6923, 1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.8462], q:[0.5, 0.3462], qb:[0.5, 0.8077], phi:[0.4615]] | t^2.077 + 3*t^2.538 + t^2.769 + t^3. + t^3.462 + 3*t^3.923 + t^4.154 + 3*t^4.385 + 2*t^4.615 + 2*t^4.846 + 5*t^5.077 + 5*t^5.308 + 3*t^5.538 + t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 5805/8788, c: 3663/4394, X1: 17/13, M1: 15/13, M2: 9/13, M3: 1, M4: 11/13, M5: 15/13, M6: 9/13, M7: 11/13, M8: 11/13, q1: 1/2, q2: 9/26, qb1: 1/2, qb2: 21/26, phi1: 6/13} |
| 6268 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}^{2}$ + ${ }M_{7}M_{9}$ | 0.6577 | 0.8181 | 0.8039 | [X:[1.2837], M:[1.1939, 0.7163, 1.0, 0.9102, 1.0898, 0.8205, 0.8061, 0.8061, 1.1939], q:[0.4479, 0.3582], qb:[0.5521, 0.7316], phi:[0.4776]] | t^2.418 + t^2.461 + t^2.731 + t^2.865 + t^3. + t^3.269 + t^3.582 + 2*t^3.851 + t^4.12 + t^4.163 + t^4.433 + t^4.702 + t^4.745 + t^4.837 + t^4.923 + t^4.971 + t^5.192 + 2*t^5.284 + t^5.327 + t^5.461 + t^5.596 + 2*t^5.731 + t^5.822 + t^5.865 - t^6. - t^4.433/y - t^4.433*y | detail | |
| 6270 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}^{2}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ | 0.6941 | 0.8842 | 0.785 | [X:[1.2815], M:[1.1974, 0.7185, 1.0, 0.9159, 1.0841, 0.8318, 0.8026, 0.8026, 0.7185], q:[0.4433, 0.3592], qb:[0.5567, 0.7249], phi:[0.479]] | t^2.155 + 2*t^2.408 + t^2.495 + t^2.748 + t^2.874 + t^3. + t^3.252 + t^3.845 + t^4.097 + t^4.185 + t^4.311 + t^4.437 + 2*t^4.563 + t^4.651 + t^4.689 + t^4.777 + 3*t^4.815 + 2*t^4.903 + t^4.942 + t^4.991 + t^5.029 + 2*t^5.155 + t^5.243 + 3*t^5.282 + t^5.369 + 2*t^5.408 + t^5.495 + t^5.622 + t^5.66 + 2*t^5.748 + t^5.786 + t^5.874 - t^6. - t^4.437/y - t^4.437*y | detail | |
| 6269 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}^{2}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6704 | 0.8405 | 0.7975 | [X:[1.2773], M:[1.2045, 0.7227, 1.0, 0.9272, 1.0728, 0.8544, 0.7955, 0.7955, 1.0364], q:[0.4342, 0.3613], qb:[0.5658, 0.7115], phi:[0.4818]] | 2*t^2.387 + t^2.563 + t^2.782 + t^3. + t^3.109 + t^3.218 + 2*t^3.832 + t^4.05 + t^4.227 + t^4.445 + t^4.664 + 3*t^4.773 + t^4.84 + t^4.882 + t^4.95 + t^5.126 + t^5.168 + t^5.277 + t^5.345 + t^5.387 + 2*t^5.496 + t^5.563 + t^5.605 + t^5.672 + t^5.714 + t^5.782 + t^5.891 - 2*t^6. - t^4.445/y - t^4.445*y | detail | |
| 6267 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6707 | 0.8435 | 0.7952 | [X:[1.2941], M:[1.1765, 0.7059, 1.0, 0.8824, 1.1176, 0.7647, 0.8235, 0.8235], q:[0.4706, 0.3529], qb:[0.5294, 0.7647], phi:[0.4706]] | t^2.294 + 2*t^2.471 + t^2.647 + t^2.824 + t^3. + t^3.353 + 2*t^3.882 + t^4.059 + t^4.235 + t^4.412 + 2*t^4.588 + 2*t^4.765 + 4*t^4.941 + 3*t^5.118 + 4*t^5.294 + 2*t^5.471 + 2*t^5.647 + 2*t^5.824 - t^6. - t^4.412/y - t^4.412*y | detail | {a: 52725/78608, c: 16577/19652, X1: 22/17, M1: 20/17, M2: 12/17, M3: 1, M4: 15/17, M5: 19/17, M6: 13/17, M7: 14/17, M8: 14/17, q1: 8/17, q2: 6/17, qb1: 9/17, qb2: 13/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ | 0.6961 | 0.8694 | 0.8006 | [X:[1.3228], M:[1.1287, 0.6772, 0.8059, 1.0, 1.0, 0.8059, 0.8713, 0.8713], q:[0.5327, 0.3386], qb:[0.6614, 0.6614], phi:[0.4515]] | 2*t^2.418 + 2*t^2.614 + t^2.709 + 2*t^3. + 2*t^3.968 + 2*t^4.354 + t^4.551 + 3*t^4.835 + 2*t^4.937 + 2*t^5.032 + 2*t^5.127 + 3*t^5.228 + 5*t^5.323 + 4*t^5.418 + 2*t^5.614 + 2*t^5.709 - 3*t^6. - t^4.354/y - t^4.354*y | detail |