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 |
|---|---|---|---|---|---|---|---|---|---|
| 3065 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.628 | 0.8172 | 0.7684 | [M:[1.0, 1.0283, 0.9433, 1.2571, 0.6862, 0.7429, 0.7429], q:[0.2429, 0.7571], qb:[0.5, 0.5567], phi:[0.4858]] | [M:[[0], [4], [-8], [1], [-9], [-1], [-1]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.059 + 2*t^2.229 + t^2.399 + t^2.83 + t^2.915 + t^3. + t^3.085 + t^3.686 + t^3.856 + t^4.117 + 2*t^4.287 + 5*t^4.457 + 3*t^4.628 + 2*t^4.798 + t^4.889 + t^4.974 + 2*t^5.059 + 3*t^5.144 + 2*t^5.229 + 3*t^5.314 + t^5.399 + t^5.484 + t^5.66 + 2*t^5.745 + t^5.83 + 4*t^5.915 - 2*t^6. + 3*t^6.085 - t^6.17 + t^6.176 + t^6.255 + 2*t^6.346 + 5*t^6.516 + 8*t^6.686 - t^6.771 + 6*t^6.856 - t^6.941 + t^6.947 + 4*t^7.026 + t^7.032 + 2*t^7.117 + 2*t^7.196 + 3*t^7.202 + 3*t^7.287 + 7*t^7.372 + 2*t^7.457 + 5*t^7.543 + t^7.628 + 4*t^7.713 + t^7.719 + t^7.798 + 2*t^7.804 + t^7.883 + 2*t^7.889 + 5*t^7.974 - t^8.059 + 8*t^8.144 - 6*t^8.229 + t^8.235 + 6*t^8.314 - 6*t^8.399 + 2*t^8.405 + 3*t^8.484 + t^8.49 - 2*t^8.569 + 6*t^8.575 + 2*t^8.654 + 2*t^8.66 + 9*t^8.745 - 2*t^8.83 + 9*t^8.915 - t^4.457/y - t^6.516/y - t^6.686/y + t^7.287/y + (2*t^7.457)/y + (3*t^7.628)/y + t^7.889/y + t^7.974/y + (3*t^8.059)/y + (3*t^8.144)/y + (4*t^8.229)/y + (3*t^8.314)/y + (2*t^8.399)/y + t^8.484/y - t^8.575/y + t^8.745/y + t^8.83/y + (4*t^8.915)/y - t^4.457*y - t^6.516*y - t^6.686*y + t^7.287*y + 2*t^7.457*y + 3*t^7.628*y + t^7.889*y + t^7.974*y + 3*t^8.059*y + 3*t^8.144*y + 4*t^8.229*y + 3*t^8.314*y + 2*t^8.399*y + t^8.484*y - t^8.575*y + t^8.745*y + t^8.83*y + 4*t^8.915*y | t^2.059/g1^9 + (2*t^2.229)/g1 + g1^7*t^2.399 + t^2.83/g1^8 + t^2.915/g1^4 + t^3. + g1^4*t^3.085 + t^3.686/g1^3 + g1^5*t^3.856 + t^4.117/g1^18 + (2*t^4.287)/g1^10 + (5*t^4.457)/g1^2 + 3*g1^6*t^4.628 + 2*g1^14*t^4.798 + t^4.889/g1^17 + t^4.974/g1^13 + (2*t^5.059)/g1^9 + (3*t^5.144)/g1^5 + (2*t^5.229)/g1 + 3*g1^3*t^5.314 + g1^7*t^5.399 + g1^11*t^5.484 + t^5.66/g1^16 + (2*t^5.745)/g1^12 + t^5.83/g1^8 + (4*t^5.915)/g1^4 - 2*t^6. + 3*g1^4*t^6.085 - g1^8*t^6.17 + t^6.176/g1^27 + g1^12*t^6.255 + (2*t^6.346)/g1^19 + (5*t^6.516)/g1^11 + (8*t^6.686)/g1^3 - g1*t^6.771 + 6*g1^5*t^6.856 - g1^9*t^6.941 + t^6.947/g1^26 + 4*g1^13*t^7.026 + t^7.032/g1^22 + (2*t^7.117)/g1^18 + 2*g1^21*t^7.196 + (3*t^7.202)/g1^14 + (3*t^7.287)/g1^10 + (7*t^7.372)/g1^6 + (2*t^7.457)/g1^2 + 5*g1^2*t^7.543 + g1^6*t^7.628 + 4*g1^10*t^7.713 + t^7.719/g1^25 + g1^14*t^7.798 + (2*t^7.804)/g1^21 + g1^18*t^7.883 + (2*t^7.889)/g1^17 + (5*t^7.974)/g1^13 - t^8.059/g1^9 + (8*t^8.144)/g1^5 - (6*t^8.229)/g1 + t^8.235/g1^36 + 6*g1^3*t^8.314 - 6*g1^7*t^8.399 + (2*t^8.405)/g1^28 + 3*g1^11*t^8.484 + t^8.49/g1^24 - 2*g1^15*t^8.569 + (6*t^8.575)/g1^20 + 2*g1^19*t^8.654 + (2*t^8.66)/g1^16 + (9*t^8.745)/g1^12 - (2*t^8.83)/g1^8 + (9*t^8.915)/g1^4 - t^4.457/(g1^2*y) - t^6.516/(g1^11*y) - t^6.686/(g1^3*y) + t^7.287/(g1^10*y) + (2*t^7.457)/(g1^2*y) + (3*g1^6*t^7.628)/y + t^7.889/(g1^17*y) + t^7.974/(g1^13*y) + (3*t^8.059)/(g1^9*y) + (3*t^8.144)/(g1^5*y) + (4*t^8.229)/(g1*y) + (3*g1^3*t^8.314)/y + (2*g1^7*t^8.399)/y + (g1^11*t^8.484)/y - t^8.575/(g1^20*y) + t^8.745/(g1^12*y) + t^8.83/(g1^8*y) + (4*t^8.915)/(g1^4*y) - (t^4.457*y)/g1^2 - (t^6.516*y)/g1^11 - (t^6.686*y)/g1^3 + (t^7.287*y)/g1^10 + (2*t^7.457*y)/g1^2 + 3*g1^6*t^7.628*y + (t^7.889*y)/g1^17 + (t^7.974*y)/g1^13 + (3*t^8.059*y)/g1^9 + (3*t^8.144*y)/g1^5 + (4*t^8.229*y)/g1 + 3*g1^3*t^8.314*y + 2*g1^7*t^8.399*y + g1^11*t^8.484*y - (t^8.575*y)/g1^20 + (t^8.745*y)/g1^12 + (t^8.83*y)/g1^8 + (4*t^8.915*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4960 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6461 | 0.8496 | 0.7605 | [M:[1.0, 1.0247, 0.9507, 1.2562, 0.6945, 0.7438, 0.7438, 0.7685], q:[0.2438, 0.7562], qb:[0.5, 0.5493], phi:[0.4877]] | t^2.084 + 2*t^2.232 + t^2.305 + t^2.379 + t^2.852 + t^2.926 + t^3. + t^3.074 + t^3.842 + t^4.167 + 2*t^4.315 + t^4.389 + 5*t^4.463 + 2*t^4.537 + 4*t^4.611 + t^4.685 + 2*t^4.759 + t^4.936 + t^5.01 + 2*t^5.084 + 4*t^5.158 + 3*t^5.232 + 4*t^5.305 + 2*t^5.379 + t^5.453 + t^5.704 + t^5.778 + t^5.852 + 2*t^5.926 - 2*t^6. - t^4.463/y - t^4.463*y | detail | |
| 4961 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6482 | 0.8558 | 0.7575 | [M:[1.0, 1.0313, 0.9375, 1.2578, 0.6796, 0.7422, 0.7422, 0.7109], q:[0.2422, 0.7578], qb:[0.5, 0.5625], phi:[0.4844]] | t^2.039 + t^2.133 + 2*t^2.227 + t^2.414 + t^2.812 + t^2.906 + t^3. + t^3.094 + t^3.68 + t^4.078 + t^4.172 + 3*t^4.265 + 2*t^4.359 + 5*t^4.453 + t^4.547 + 3*t^4.641 + 2*t^4.828 + t^4.851 + 2*t^4.945 + 3*t^5.039 + 4*t^5.133 + 3*t^5.227 + 3*t^5.32 + t^5.414 + t^5.508 + t^5.625 + 2*t^5.719 + 2*t^5.812 + 3*t^5.906 - 2*t^6. - t^4.453/y - t^4.453*y | detail | |
| 4959 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.6258 | 0.8133 | 0.7694 | [M:[1.0, 1.0189, 0.9623, 1.2547, 0.7076, 0.7453, 0.7453, 1.0189], q:[0.2453, 0.7547], qb:[0.5, 0.5377], phi:[0.4906]] | t^2.123 + 2*t^2.236 + t^2.349 + t^2.887 + t^3. + 2*t^3.057 + t^3.708 + t^3.821 + t^4.245 + 2*t^4.359 + 5*t^4.472 + 3*t^4.585 + 2*t^4.698 + t^5.009 + 2*t^5.123 + 2*t^5.179 + 2*t^5.236 + 4*t^5.292 + t^5.349 + 2*t^5.406 + t^5.774 + t^5.83 + 4*t^5.943 - 3*t^6. - t^4.472/y - t^4.472*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2015 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6087 | 0.7818 | 0.7785 | [M:[1.0, 1.0274, 0.9453, 1.2568, 0.6884, 0.7432], q:[0.2432, 0.7568], qb:[0.5, 0.5547], phi:[0.4863]] | t^2.065 + t^2.229 + t^2.394 + t^2.836 + t^2.918 + t^3. + t^3.082 + t^3.688 + t^3.771 + t^3.853 + t^4.13 + t^4.295 + 3*t^4.459 + 2*t^4.623 + 2*t^4.787 + t^4.901 + t^4.983 + t^5.065 + 2*t^5.147 + t^5.229 + 2*t^5.312 + t^5.394 + t^5.476 + t^5.672 + 2*t^5.754 + 2*t^5.836 + 3*t^5.918 - t^6. - t^4.459/y - t^4.459*y | detail |