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 |
|---|---|---|---|---|---|---|---|---|---|
| 2519 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6678 | 0.848 | 0.7875 | [M:[1.0081, 0.8918, 1.1082, 0.7916, 1.2084, 0.7916, 0.6914], q:[0.546, 0.4459], qb:[0.3457, 0.7625], phi:[0.475]] | [M:[[-38], [14], [-14], [-10], [10], [-10], [-34]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.074 + 2*t^2.375 + t^2.675 + t^2.85 + t^3.024 + t^3.325 + t^3.499 + t^3.8 + 2*t^4.1 + t^4.149 + t^4.401 + 2*t^4.449 + t^4.701 + 4*t^4.75 + t^4.924 + 2*t^5.05 + t^5.098 + 2*t^5.225 + t^5.351 + 2*t^5.399 + t^5.525 + t^5.573 + 2*t^5.699 + 4*t^5.874 - 2*t^6. + t^6.048 + 5*t^6.174 + t^6.223 - 3*t^6.301 + 2*t^6.349 + 4*t^6.475 + 3*t^6.523 - t^6.601 + 3*t^6.775 + 5*t^6.824 + 2*t^6.998 + 2*t^7.076 + 6*t^7.124 + t^7.173 - 2*t^7.25 + 3*t^7.299 + t^7.376 + 3*t^7.425 + 2*t^7.473 + 6*t^7.599 + t^7.648 + 3*t^7.774 - t^7.851 + 3*t^7.9 + 4*t^7.948 - t^8.026 + t^8.123 + 3*t^8.2 + 9*t^8.249 + t^8.297 - t^8.326 - 7*t^8.375 + 3*t^8.423 + t^8.501 + 9*t^8.549 + 3*t^8.598 - 9*t^8.675 + 4*t^8.724 + 2*t^8.801 + 5*t^8.85 + 7*t^8.898 - 5*t^8.976 - t^4.425/y - t^6.499/y - t^6.8/y - t^7.275/y + t^7.401/y + t^7.449/y + t^7.575/y + (2*t^7.75)/y + t^7.924/y + (3*t^8.05)/y + t^8.098/y + (2*t^8.225)/y + t^8.351/y + (3*t^8.399)/y + t^8.525/y + (3*t^8.699)/y + (3*t^8.874)/y - t^4.425*y - t^6.499*y - t^6.8*y - t^7.275*y + t^7.401*y + t^7.449*y + t^7.575*y + 2*t^7.75*y + t^7.924*y + 3*t^8.05*y + t^8.098*y + 2*t^8.225*y + t^8.351*y + 3*t^8.399*y + t^8.525*y + 3*t^8.699*y + 3*t^8.874*y | t^2.074/g1^34 + (2*t^2.375)/g1^10 + g1^14*t^2.675 + t^2.85/g1^12 + t^3.024/g1^38 + t^3.325/g1^14 + t^3.499/g1^40 + t^3.8/g1^16 + 2*g1^8*t^4.1 + t^4.149/g1^68 + g1^32*t^4.401 + (2*t^4.449)/g1^44 + g1^56*t^4.701 + (4*t^4.75)/g1^20 + t^4.924/g1^46 + 2*g1^4*t^5.05 + t^5.098/g1^72 + (2*t^5.225)/g1^22 + g1^28*t^5.351 + (2*t^5.399)/g1^48 + g1^2*t^5.525 + t^5.573/g1^74 + (2*t^5.699)/g1^24 + (4*t^5.874)/g1^50 - 2*t^6. + t^6.048/g1^76 + (5*t^6.174)/g1^26 + t^6.223/g1^102 - 3*g1^24*t^6.301 + (2*t^6.349)/g1^52 + (4*t^6.475)/g1^2 + (3*t^6.523)/g1^78 - g1^48*t^6.601 + 3*g1^22*t^6.775 + (5*t^6.824)/g1^54 + (2*t^6.998)/g1^80 + 2*g1^46*t^7.076 + (6*t^7.124)/g1^30 + t^7.173/g1^106 - 2*g1^20*t^7.25 + (3*t^7.299)/g1^56 + g1^70*t^7.376 + (3*t^7.425)/g1^6 + (2*t^7.473)/g1^82 + (6*t^7.599)/g1^32 + t^7.648/g1^108 + (3*t^7.774)/g1^58 - g1^68*t^7.851 + (3*t^7.9)/g1^8 + (4*t^7.948)/g1^84 - g1^42*t^8.026 + t^8.123/g1^110 + 3*g1^16*t^8.2 + (9*t^8.249)/g1^60 + t^8.297/g1^136 - g1^66*t^8.326 - (7*t^8.375)/g1^10 + (3*t^8.423)/g1^86 + g1^40*t^8.501 + (9*t^8.549)/g1^36 + (3*t^8.598)/g1^112 - 9*g1^14*t^8.675 + (4*t^8.724)/g1^62 + 2*g1^64*t^8.801 + (5*t^8.85)/g1^12 + (7*t^8.898)/g1^88 - 5*g1^38*t^8.976 - t^4.425/(g1^6*y) - t^6.499/(g1^40*y) - t^6.8/(g1^16*y) - t^7.275/(g1^18*y) + (g1^32*t^7.401)/y + t^7.449/(g1^44*y) + (g1^6*t^7.575)/y + (2*t^7.75)/(g1^20*y) + t^7.924/(g1^46*y) + (3*g1^4*t^8.05)/y + t^8.098/(g1^72*y) + (2*t^8.225)/(g1^22*y) + (g1^28*t^8.351)/y + (3*t^8.399)/(g1^48*y) + (g1^2*t^8.525)/y + (3*t^8.699)/(g1^24*y) + (3*t^8.874)/(g1^50*y) - (t^4.425*y)/g1^6 - (t^6.499*y)/g1^40 - (t^6.8*y)/g1^16 - (t^7.275*y)/g1^18 + g1^32*t^7.401*y + (t^7.449*y)/g1^44 + g1^6*t^7.575*y + (2*t^7.75*y)/g1^20 + (t^7.924*y)/g1^46 + 3*g1^4*t^8.05*y + (t^8.098*y)/g1^72 + (2*t^8.225*y)/g1^22 + g1^28*t^8.351*y + (3*t^8.399*y)/g1^48 + g1^2*t^8.525*y + (3*t^8.699*y)/g1^24 + (3*t^8.874*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4572 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{8}$ | 0.6582 | 0.8333 | 0.7898 | [M:[0.9927, 0.8974, 1.1026, 0.7876, 1.2124, 0.7876, 0.6777, 1.1026], q:[0.5586, 0.4487], qb:[0.3388, 0.7637], phi:[0.4725]] | t^2.033 + 2*t^2.363 + t^2.835 + t^2.978 + 2*t^3.308 + t^3.451 + t^3.78 + t^4.066 + 2*t^4.11 + 2*t^4.396 + t^4.439 + 3*t^4.725 + t^4.769 + t^4.868 + t^5.011 + 2*t^5.198 + 3*t^5.341 + t^5.484 + 3*t^5.67 + 4*t^5.813 + t^5.956 - 3*t^6. - t^4.418/y - t^4.418*y | detail | |
| 4573 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{8}$ | 0.6778 | 0.8638 | 0.7846 | [M:[1.0232, 0.8862, 1.1138, 0.7956, 1.2044, 0.7956, 0.705, 0.8862], q:[0.5337, 0.4431], qb:[0.3525, 0.7613], phi:[0.4774]] | t^2.115 + 2*t^2.387 + 2*t^2.659 + t^2.864 + t^3.07 + t^3.547 + t^3.819 + 2*t^4.091 + t^4.23 + t^4.362 + 2*t^4.502 + t^4.634 + 5*t^4.774 + t^4.979 + 4*t^5.045 + t^5.185 + 2*t^5.251 + 3*t^5.317 + t^5.456 + 2*t^5.523 + t^5.662 + t^5.728 + 4*t^5.934 - 3*t^6. - t^4.432/y - t^4.432*y | detail | |
| 4583 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6625 | 0.8364 | 0.792 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 0.8108, 0.7568], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | t^2.27 + 2*t^2.432 + t^2.595 + t^2.919 + t^3.243 + t^3.405 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + 2*t^4.703 + 4*t^4.865 + 2*t^5.027 + 2*t^5.189 + 2*t^5.351 + 2*t^5.514 + 2*t^5.676 + 2*t^5.838 - t^6. - t^4.459/y - t^4.459*y | detail | {a: 536883/810448, c: 338945/405224, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 30/37, M7: 28/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
| 4574 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6875 | 0.884 | 0.7777 | [M:[1.0148, 0.8893, 1.1107, 0.7934, 1.2066, 0.7934, 0.6975, 0.7306], q:[0.5405, 0.4446], qb:[0.3487, 0.762], phi:[0.476]] | t^2.092 + t^2.192 + 2*t^2.38 + t^2.668 + t^2.856 + t^3.045 + t^3.332 + t^3.521 + 2*t^4.096 + t^4.185 + t^4.284 + 2*t^4.384 + 2*t^4.473 + 2*t^4.572 + t^4.671 + 4*t^4.76 + t^4.86 + t^4.949 + 3*t^5.048 + t^5.137 + 3*t^5.236 + t^5.336 + 2*t^5.425 + 2*t^5.524 + t^5.613 + 3*t^5.712 + 3*t^5.901 - 2*t^6. - t^4.428/y - t^4.428*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1450 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7187 | 0.8911 | 0.8065 | [M:[0.8499, 1.0412, 0.9588, 0.9323, 1.0677, 0.9323, 0.8234], q:[0.6295, 0.5206], qb:[0.4117, 0.5471], phi:[0.4728]] | t^2.47 + t^2.55 + 2*t^2.797 + t^2.837 + t^2.876 + t^3.124 + t^3.888 + t^4.215 + t^4.295 + 2*t^4.542 + t^4.621 + t^4.701 + t^4.869 + t^4.94 + t^4.948 + t^5.02 + t^5.099 + t^5.196 + 2*t^5.267 + t^5.307 + 2*t^5.346 + t^5.386 + t^5.426 + 3*t^5.594 + 2*t^5.633 + 2*t^5.673 + t^5.713 + t^5.92 + t^5.96 - 3*t^6. - t^4.418/y - t^4.418*y | detail |