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 |
|---|---|---|---|---|---|---|---|---|---|
| 46200 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.6309 | 0.822 | 0.7676 | [X:[], M:[0.9715, 0.7714, 0.7714], q:[0.7429, 0.2857], qb:[0.4287, 0.4857], phi:[0.5143]] | [X:[], M:[[4], [-3], [-3]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.14 + 3*t^2.31 + t^2.74 + t^2.91 + t^3.09 + t^3.26 + t^3.51 + t^3.86 + t^4.11 + 2*t^4.29 + 4*t^4.46 + 6*t^4.63 + t^4.89 + 4*t^5.06 + 4*t^5.23 + 3*t^5.4 + t^5.49 + 2*t^5.57 + 2*t^5.66 + 3*t^5.83 - t^6. + 2*t^6.17 + 2*t^6.26 + t^6.34 + 4*t^6.43 + t^6.51 + 5*t^6.6 + 7*t^6.77 + t^6.86 + 8*t^6.94 + 3*t^7.03 + 5*t^7.2 + 8*t^7.37 + 6*t^7.54 + 2*t^7.63 + 5*t^7.71 + 5*t^7.8 + 3*t^7.89 + 4*t^7.97 + 2*t^8.14 + 2*t^8.23 - 5*t^8.31 + 4*t^8.4 + 2*t^8.49 + 8*t^8.57 + 2*t^8.66 + 6*t^8.74 + 2*t^8.83 + 3*t^8.91 - t^4.54/y - (2*t^6.86)/y + (3*t^7.46)/y + (3*t^7.63)/y + t^7.89/y + (4*t^8.06)/y + (6*t^8.23)/y + (4*t^8.4)/y + (3*t^8.57)/y + (2*t^8.66)/y + (4*t^8.83)/y - t^4.54*y - 2*t^6.86*y + 3*t^7.46*y + 3*t^7.63*y + t^7.89*y + 4*t^8.06*y + 6*t^8.23*y + 4*t^8.4*y + 3*t^8.57*y + 2*t^8.66*y + 4*t^8.83*y | g1^5*t^2.14 + (3*t^2.31)/g1^3 + g1^12*t^2.74 + g1^4*t^2.91 + t^3.09/g1^4 + t^3.26/g1^12 + g1^11*t^3.51 + t^3.86/g1^5 + g1^18*t^4.11 + 2*g1^10*t^4.29 + 4*g1^2*t^4.46 + (6*t^4.63)/g1^6 + g1^17*t^4.89 + 4*g1^9*t^5.06 + 4*g1*t^5.23 + (3*t^5.4)/g1^7 + g1^24*t^5.49 + (2*t^5.57)/g1^15 + 2*g1^16*t^5.66 + 3*g1^8*t^5.83 - t^6. + (2*t^6.17)/g1^8 + 2*g1^23*t^6.26 + t^6.34/g1^16 + 4*g1^15*t^6.43 + t^6.51/g1^24 + 5*g1^7*t^6.6 + (7*t^6.77)/g1 + g1^30*t^6.86 + (8*t^6.94)/g1^9 + 3*g1^22*t^7.03 + 5*g1^14*t^7.2 + 8*g1^6*t^7.37 + (6*t^7.54)/g1^2 + 2*g1^29*t^7.63 + (5*t^7.71)/g1^10 + 5*g1^21*t^7.8 + (3*t^7.89)/g1^18 + 4*g1^13*t^7.97 + 2*g1^5*t^8.14 + 2*g1^36*t^8.23 - (5*t^8.31)/g1^3 + 4*g1^28*t^8.4 + (2*t^8.49)/g1^11 + 8*g1^20*t^8.57 + (2*t^8.66)/g1^19 + 6*g1^12*t^8.74 + (2*t^8.83)/g1^27 + 3*g1^4*t^8.91 - t^4.54/(g1^2*y) - (2*t^6.86)/(g1^5*y) + (3*g1^2*t^7.46)/y + (3*t^7.63)/(g1^6*y) + (g1^17*t^7.89)/y + (4*g1^9*t^8.06)/y + (6*g1*t^8.23)/y + (4*t^8.4)/(g1^7*y) + (3*t^8.57)/(g1^15*y) + (2*g1^16*t^8.66)/y + (4*g1^8*t^8.83)/y - (t^4.54*y)/g1^2 - (2*t^6.86*y)/g1^5 + 3*g1^2*t^7.46*y + (3*t^7.63*y)/g1^6 + g1^17*t^7.89*y + 4*g1^9*t^8.06*y + 6*g1*t^8.23*y + (4*t^8.4*y)/g1^7 + (3*t^8.57*y)/g1^15 + 2*g1^16*t^8.66*y + 4*g1^8*t^8.83*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 46690 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6465 | 0.8487 | 0.7617 | [X:[], M:[0.9812, 0.7641, 0.7641, 0.8018], q:[0.7453, 0.2735], qb:[0.4529, 0.4906], phi:[0.5094]] | t^2.18 + 3*t^2.29 + t^2.41 + t^2.83 + t^2.94 + t^3.06 + t^3.17 + t^3.82 + t^4.25 + 2*t^4.36 + 4*t^4.47 + 7*t^4.58 + 3*t^4.7 + t^4.81 + t^5.01 + 4*t^5.12 + 5*t^5.24 + 4*t^5.35 + 3*t^5.46 + t^5.57 + t^5.66 + t^5.77 - t^6. - t^4.53/y - t^4.53*y | detail | |
| 46767 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6252 | 0.812 | 0.77 | [X:[], M:[0.9878, 0.7592, 0.7592, 1.0366], q:[0.7469, 0.2653], qb:[0.4695, 0.4939], phi:[0.5061]] | t^2.2 + 3*t^2.28 + t^2.96 + t^3.04 + 2*t^3.11 + t^3.65 + t^3.8 + t^4.34 + 2*t^4.41 + 4*t^4.48 + 6*t^4.55 + t^5.17 + 4*t^5.24 + 4*t^5.31 + 5*t^5.39 + t^5.85 + 2*t^5.93 - 2*t^6. - t^4.52/y - t^4.52*y | detail | |
| 46682 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5697 | 0.7498 | 0.7597 | [X:[], M:[1.0588, 0.7059, 0.7059], q:[0.7647, 0.1765], qb:[0.6471, 0.5294], phi:[0.4706]] | 3*t^2.12 + 2*t^2.47 + t^2.82 + t^3.18 + 2*t^3.53 + 7*t^4.24 + 6*t^4.59 + 6*t^4.94 + 6*t^5.29 + 6*t^5.65 - t^4.41/y - t^4.41*y | detail | {a: 44781/78608, c: 29471/39304, M1: 18/17, M2: 12/17, M3: 12/17, q1: 13/17, q2: 3/17, qb1: 11/17, qb2: 9/17, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 45945 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6129 | 0.79 | 0.7758 | [X:[], M:[0.9693, 0.773], q:[0.7423, 0.2884], qb:[0.4233, 0.4847], phi:[0.5153]] | t^2.13 + 2*t^2.32 + t^2.72 + t^2.91 + t^3.09 + t^3.28 + t^3.5 + t^3.68 + t^3.87 + t^4.09 + 2*t^4.27 + 3*t^4.45 + 3*t^4.64 + t^4.86 + 3*t^5.04 + 3*t^5.23 + 2*t^5.41 + t^5.45 + t^5.6 + 2*t^5.63 + 3*t^5.82 + t^6. - t^4.55/y - t^4.55*y | detail |