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 |
|---|---|---|---|---|---|---|---|---|---|
| 5207 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7095 | 0.9154 | 0.7751 | [M:[0.8231, 1.059, 1.1769, 0.7051, 0.8231, 1.0576, 0.7064, 0.7078], q:[0.4122, 0.7647], qb:[0.4109, 0.5302], phi:[0.4705]] | [M:[[-12], [4], [12], [-20], [-12], [-30], [14], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -1 | t^2.115 + t^2.119 + t^2.123 + 2*t^2.469 + t^2.823 + t^3.173 + t^3.177 + t^3.527 + t^3.885 + t^4.231 + 2*t^4.235 + 3*t^4.239 + t^4.243 + t^4.247 + 2*t^4.584 + 2*t^4.588 + 3*t^4.593 + 4*t^4.938 + t^4.942 + t^4.946 + t^5.288 + 4*t^5.292 + 2*t^5.296 + t^5.3 + 2*t^5.642 + 3*t^5.646 + t^5.65 + 2*t^5.996 - t^6. + t^6.008 + 2*t^6.346 + 3*t^6.35 + 4*t^6.354 + 3*t^6.358 + 3*t^6.362 + t^6.366 + t^6.37 + 3*t^6.7 + 3*t^6.704 + 6*t^6.708 + 3*t^6.712 + 3*t^6.716 + 3*t^7.054 + 3*t^7.058 + 6*t^7.062 + t^7.066 + t^7.07 + t^7.403 + 7*t^7.407 + 4*t^7.412 + 5*t^7.416 + 2*t^7.42 + t^7.424 + 2*t^7.757 + 6*t^7.761 + 4*t^7.765 + 2*t^7.769 + t^7.774 + 3*t^8.111 + 2*t^8.115 - t^8.119 - t^8.123 + t^8.131 + 2*t^8.461 + 6*t^8.465 + 2*t^8.469 + 2*t^8.473 + 6*t^8.477 + 3*t^8.481 + 3*t^8.485 + t^8.489 + t^8.493 + 4*t^8.815 + 5*t^8.819 + 4*t^8.823 + 5*t^8.827 + 8*t^8.831 + 3*t^8.835 + 3*t^8.839 - t^4.412/y - t^6.527/y - t^6.531/y - t^6.535/y - t^6.881/y + t^7.235/y + (2*t^7.239)/y + t^7.243/y + t^7.584/y + (2*t^7.588)/y + (2*t^7.593)/y + (2*t^7.938)/y + (2*t^7.942)/y + t^7.946/y + (2*t^8.288)/y + (5*t^8.292)/y + (3*t^8.296)/y + t^8.3/y + (2*t^8.642)/y + (2*t^8.646)/y - t^8.65/y - t^8.654/y - t^8.658/y + (2*t^8.996)/y - t^4.412*y - t^6.527*y - t^6.531*y - t^6.535*y - t^6.881*y + t^7.235*y + 2*t^7.239*y + t^7.243*y + t^7.584*y + 2*t^7.588*y + 2*t^7.593*y + 2*t^7.938*y + 2*t^7.942*y + t^7.946*y + 2*t^8.288*y + 5*t^8.292*y + 3*t^8.296*y + t^8.3*y + 2*t^8.642*y + 2*t^8.646*y - t^8.65*y - t^8.654*y - t^8.658*y + 2*t^8.996*y | t^2.115/g1^20 + g1^14*t^2.119 + g1^48*t^2.123 + (2*t^2.469)/g1^12 + t^2.823/g1^4 + t^3.173/g1^30 + g1^4*t^3.177 + t^3.527/g1^22 + g1^20*t^3.885 + t^4.231/g1^40 + (2*t^4.235)/g1^6 + 3*g1^28*t^4.239 + g1^62*t^4.243 + g1^96*t^4.247 + (2*t^4.584)/g1^32 + 2*g1^2*t^4.588 + 3*g1^36*t^4.593 + (4*t^4.938)/g1^24 + g1^10*t^4.942 + g1^44*t^4.946 + t^5.288/g1^50 + (4*t^5.292)/g1^16 + 2*g1^18*t^5.296 + g1^52*t^5.3 + (2*t^5.642)/g1^42 + (3*t^5.646)/g1^8 + g1^26*t^5.65 + (2*t^5.996)/g1^34 - t^6. + g1^68*t^6.008 + (2*t^6.346)/g1^60 + (3*t^6.35)/g1^26 + 4*g1^8*t^6.354 + 3*g1^42*t^6.358 + 3*g1^76*t^6.362 + g1^110*t^6.366 + g1^144*t^6.37 + (3*t^6.7)/g1^52 + (3*t^6.704)/g1^18 + 6*g1^16*t^6.708 + 3*g1^50*t^6.712 + 3*g1^84*t^6.716 + (3*t^7.054)/g1^44 + (3*t^7.058)/g1^10 + 6*g1^24*t^7.062 + g1^58*t^7.066 + g1^92*t^7.07 + t^7.403/g1^70 + (7*t^7.407)/g1^36 + (4*t^7.412)/g1^2 + 5*g1^32*t^7.416 + 2*g1^66*t^7.42 + g1^100*t^7.424 + (2*t^7.757)/g1^62 + (6*t^7.761)/g1^28 + 4*g1^6*t^7.765 + 2*g1^40*t^7.769 + g1^74*t^7.774 + (3*t^8.111)/g1^54 + (2*t^8.115)/g1^20 - g1^14*t^8.119 - g1^48*t^8.123 + g1^116*t^8.131 + (2*t^8.461)/g1^80 + (6*t^8.465)/g1^46 + (2*t^8.469)/g1^12 + 2*g1^22*t^8.473 + 6*g1^56*t^8.477 + 3*g1^90*t^8.481 + 3*g1^124*t^8.485 + g1^158*t^8.489 + g1^192*t^8.493 + (4*t^8.815)/g1^72 + (5*t^8.819)/g1^38 + (4*t^8.823)/g1^4 + 5*g1^30*t^8.827 + 8*g1^64*t^8.831 + 3*g1^98*t^8.835 + 3*g1^132*t^8.839 - t^4.412/(g1^2*y) - t^6.527/(g1^22*y) - (g1^12*t^6.531)/y - (g1^46*t^6.535)/y - t^6.881/(g1^14*y) + t^7.235/(g1^6*y) + (2*g1^28*t^7.239)/y + (g1^62*t^7.243)/y + t^7.584/(g1^32*y) + (2*g1^2*t^7.588)/y + (2*g1^36*t^7.593)/y + (2*t^7.938)/(g1^24*y) + (2*g1^10*t^7.942)/y + (g1^44*t^7.946)/y + (2*t^8.288)/(g1^50*y) + (5*t^8.292)/(g1^16*y) + (3*g1^18*t^8.296)/y + (g1^52*t^8.3)/y + (2*t^8.642)/(g1^42*y) + (2*t^8.646)/(g1^8*y) - (g1^26*t^8.65)/y - (g1^60*t^8.654)/y - (g1^94*t^8.658)/y + (2*t^8.996)/(g1^34*y) - (t^4.412*y)/g1^2 - (t^6.527*y)/g1^22 - g1^12*t^6.531*y - g1^46*t^6.535*y - (t^6.881*y)/g1^14 + (t^7.235*y)/g1^6 + 2*g1^28*t^7.239*y + g1^62*t^7.243*y + (t^7.584*y)/g1^32 + 2*g1^2*t^7.588*y + 2*g1^36*t^7.593*y + (2*t^7.938*y)/g1^24 + 2*g1^10*t^7.942*y + g1^44*t^7.946*y + (2*t^8.288*y)/g1^50 + (5*t^8.292*y)/g1^16 + 3*g1^18*t^8.296*y + g1^52*t^8.3*y + (2*t^8.642*y)/g1^42 + (2*t^8.646*y)/g1^8 - g1^26*t^8.65*y - g1^60*t^8.654*y - g1^94*t^8.658*y + (2*t^8.996*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6758 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{9}$ | 0.715 | 0.9245 | 0.7734 | [M:[0.8217, 1.0594, 1.1783, 0.7029, 0.8217, 1.0543, 0.708, 0.7131, 0.9406], q:[0.4134, 0.7649], qb:[0.4083, 0.5323], phi:[0.4703]] | t^2.109 + t^2.124 + t^2.139 + 2*t^2.465 + 2*t^2.822 + t^3.163 + t^3.519 + t^3.891 + t^4.217 + 2*t^4.233 + 3*t^4.248 + t^4.263 + t^4.279 + 2*t^4.574 + 2*t^4.589 + 3*t^4.605 + 5*t^4.93 + 2*t^4.946 + 2*t^4.961 + t^5.271 + 5*t^5.287 + t^5.302 + 2*t^5.628 + 3*t^5.643 + t^5.659 + 3*t^5.985 - 2*t^6. - t^4.411/y - t^4.411*y | detail | |
| 6757 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}M_{8}$ + ${ }M_{4}X_{1}$ | 0.5668 | 0.7341 | 0.772 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.7742, 0.8387, 1.1613], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | 2*t^2.129 + t^2.323 + t^2.516 + t^2.71 + t^2.903 + t^3.29 + t^3.484 + t^4.065 + 3*t^4.258 + 3*t^4.452 + 3*t^4.645 + 3*t^4.839 + 4*t^5.032 + 2*t^5.226 + 3*t^5.419 + 4*t^5.613 + t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 270147/476656, c: 174955/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 24/31, M7: 26/31, M8: 36/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
| 6759 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{1}^{2}$ | 0.73 | 0.9543 | 0.7649 | [M:[0.8216, 1.0595, 1.1784, 0.7027, 0.8216, 1.0541, 0.7081, 0.7134, 0.7027], q:[0.4135, 0.7649], qb:[0.4081, 0.5324], phi:[0.4703]] | 2*t^2.108 + t^2.124 + t^2.14 + 2*t^2.465 + t^2.822 + t^3.162 + t^3.178 + t^3.519 + 3*t^4.216 + 3*t^4.232 + 4*t^4.249 + t^4.265 + t^4.281 + 4*t^4.573 + 2*t^4.589 + 3*t^4.605 + 5*t^4.93 + t^4.946 + t^4.962 + 2*t^5.27 + 5*t^5.287 + 2*t^5.303 + t^5.319 + 3*t^5.627 + 3*t^5.643 + t^5.659 + 2*t^5.984 - 2*t^6. - t^4.411/y - t^4.411*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3536 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6894 | 0.878 | 0.7852 | [M:[0.8172, 1.0609, 1.1828, 0.6954, 0.8172, 1.043, 0.7132], q:[0.4175, 0.7652], qb:[0.3997, 0.5394], phi:[0.4695]] | t^2.086 + t^2.14 + 2*t^2.452 + t^2.817 + t^3.129 + t^3.183 + t^3.495 + t^3.807 + t^3.914 + t^4.172 + 2*t^4.226 + 2*t^4.279 + 2*t^4.538 + 2*t^4.591 + t^4.645 + 4*t^4.903 + t^4.957 + t^5.215 + 4*t^5.269 + t^5.323 + 2*t^5.581 + 3*t^5.634 + t^5.893 + 3*t^5.946 - t^6. - t^4.409/y - t^4.409*y | detail |