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 |
|---|---|---|---|---|---|---|---|---|---|
| 56064 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6678 | 0.848 | 0.7875 | [M:[0.8918, 1.2084, 1.1082, 0.6914, 0.7916, 0.7916, 1.0081], q:[0.3457, 0.7625], qb:[0.4459, 0.546], phi:[0.475]] | [M:[[14], [10], [-14], [-34], [-10], [-10], [-38]], q:[[-17], [3]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -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 |
|---|---|---|---|---|---|---|---|---|
| 58145 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{8}$ | 0.6778 | 0.8638 | 0.7846 | [M:[0.8862, 1.2044, 1.1138, 0.705, 0.7956, 0.7956, 1.0232, 0.8862], q:[0.3525, 0.7613], qb:[0.4431, 0.5337], 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 | |
| 58148 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6875 | 0.884 | 0.7777 | [M:[0.8893, 1.2066, 1.1107, 0.6975, 0.7934, 0.7934, 1.0148, 0.7306], q:[0.3487, 0.762], qb:[0.4446, 0.5405], 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 | |
| 58147 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.6832 | 0.8732 | 0.7824 | [M:[0.8801, 1.2001, 1.1199, 0.7197, 0.7999, 0.7999, 1.0397, 0.8003], q:[0.3599, 0.76], qb:[0.4401, 0.5203], phi:[0.4799]] | t^2.159 + 2*t^2.4 + t^2.401 + t^2.64 + t^2.88 + t^3.119 + t^3.36 + t^3.84 + 2*t^4.08 + t^4.318 + t^4.321 + 2*t^4.559 + t^4.56 + t^4.561 + 4*t^4.799 + 2*t^4.801 + t^4.802 + t^5.039 + 2*t^5.04 + t^5.041 + t^5.278 + 2*t^5.279 + 2*t^5.281 + 2*t^5.519 + 2*t^5.52 + 2*t^5.759 + t^5.761 + 2*t^5.999 - 2*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 50910 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6707 | 0.8503 | 0.7887 | [M:[0.8749, 1.1963, 1.1251, 0.7324, 0.8037, 0.8037], q:[0.3662, 0.7589], qb:[0.4374, 0.5087], phi:[0.4822]] | t^2.197 + 2*t^2.411 + t^2.625 + t^2.838 + t^2.893 + t^3.375 + t^3.644 + t^3.858 + 2*t^4.071 + t^4.285 + t^4.395 + t^4.499 + 2*t^4.608 + 4*t^4.822 + 3*t^5.036 + t^5.09 + 3*t^5.249 + 2*t^5.304 + t^5.463 + t^5.518 + t^5.677 + t^5.731 + t^5.786 + t^5.841 - 2*t^6. - t^4.447/y - t^4.447*y | detail |