Landscape




$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =





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.

#TheorySuperpotentialCentral charge $a$Central charge $c$Ratio $a/c$Matter field: $R$-chargeU(1) part of $F_{UV}$Rank of $F_{UV}$Rational
57347 SU3adj1nf2 ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ 1.3452 1.6133 0.8338 [M:[0.7103], q:[0.591, 0.4181], qb:[0.2987, 0.2923], phi:[0.4]] [M:[[-2, -1]], q:[[1, 1], [-2, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$ ${3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ 3 2*t^2.131 + t^2.15 + t^2.4 + t^2.65 + t^2.669 + t^3.331 + t^3.35 + t^3.6 + 2*t^3.85 + t^3.869 + 3*t^4.262 + 2*t^4.281 + t^4.301 + 3*t^4.531 + 2*t^4.55 + 2*t^4.781 + 4*t^4.8 + t^4.819 + 3*t^5.05 + 3*t^5.069 + t^5.299 + t^5.319 + t^5.338 + 2*t^5.462 + 3*t^5.481 + t^5.501 + 3*t^5.731 + 2*t^5.75 + 4*t^5.981 + 3*t^6. + t^6.019 + t^6.23 + 4*t^6.25 + 3*t^6.269 + t^6.288 + 4*t^6.393 + 3*t^6.412 + 2*t^6.432 + t^6.451 + 2*t^6.499 + t^6.519 + t^6.538 + 6*t^6.662 + 6*t^6.681 + 3*t^6.701 + 3*t^6.912 + 8*t^6.931 + 5*t^6.95 + t^6.97 + 7*t^7.181 + 10*t^7.2 + 3*t^7.219 + t^7.363 + 2*t^7.43 + 6*t^7.45 + 5*t^7.469 + t^7.488 + 3*t^7.593 + 5*t^7.612 + 3*t^7.632 + t^7.651 + 5*t^7.699 + 3*t^7.719 + 3*t^7.738 + 6*t^7.862 + 7*t^7.881 + 3*t^7.901 + t^7.949 + t^7.968 + t^7.988 + t^8.007 + 6*t^8.112 + 5*t^8.131 + 3*t^8.15 + t^8.17 + 2*t^8.361 + 10*t^8.381 + 10*t^8.4 + 5*t^8.419 + t^8.439 + 5*t^8.524 + 4*t^8.543 + 3*t^8.563 + 2*t^8.582 + t^8.601 + 4*t^8.63 + 4*t^8.65 + 2*t^8.669 + t^8.688 + 9*t^8.793 + 10*t^8.812 + 7*t^8.832 + 3*t^8.851 + t^8.88 + 7*t^8.899 + 6*t^8.919 + 4*t^8.938 + t^8.957 - t^4.2/y - t^5.4/y - (2*t^6.331)/y - t^6.35/y - t^6.6/y - t^6.85/y - t^6.869/y + t^7.262/y + (2*t^7.281)/y + (2*t^7.781)/y + (2*t^7.8)/y + t^7.819/y + t^8.069/y + t^8.319/y - t^8.462/y + t^8.481/y + (3*t^8.981)/y - t^4.2*y - t^5.4*y - 2*t^6.331*y - t^6.35*y - t^6.6*y - t^6.85*y - t^6.869*y + t^7.262*y + 2*t^7.281*y + 2*t^7.781*y + 2*t^7.8*y + t^7.819*y + t^8.069*y + t^8.319*y - t^8.462*y + t^8.481*y + 3*t^8.981*y (2*t^2.131)/(g1^2*g2) + t^2.15/(g1*g2^2) + t^2.4 + g1*g2^2*t^2.65 + g1^2*g2*t^2.669 + t^3.331/(g1^2*g2) + t^3.35/(g1*g2^2) + t^3.6 + 2*g1*g2^2*t^3.85 + g1^2*g2*t^3.869 + (3*t^4.262)/(g1^4*g2^2) + (2*t^4.281)/(g1^3*g2^3) + t^4.301/(g1^2*g2^4) + (3*t^4.531)/(g1^2*g2) + (2*t^4.55)/(g1*g2^2) + (2*g2*t^4.781)/g1 + 4*t^4.8 + (g1*t^4.819)/g2 + 3*g1*g2^2*t^5.05 + 3*g1^2*g2*t^5.069 + g1^2*g2^4*t^5.299 + g1^3*g2^3*t^5.319 + g1^4*g2^2*t^5.338 + (2*t^5.462)/(g1^4*g2^2) + (3*t^5.481)/(g1^3*g2^3) + t^5.501/(g1^2*g2^4) + (3*t^5.731)/(g1^2*g2) + (2*t^5.75)/(g1*g2^2) + (4*g2*t^5.981)/g1 + 3*t^6. + (g1*t^6.019)/g2 + g2^3*t^6.23 + 4*g1*g2^2*t^6.25 + 3*g1^2*g2*t^6.269 + g1^3*t^6.288 + (4*t^6.393)/(g1^6*g2^3) + (3*t^6.412)/(g1^5*g2^4) + (2*t^6.432)/(g1^4*g2^5) + t^6.451/(g1^3*g2^6) + 2*g1^2*g2^4*t^6.499 + g1^3*g2^3*t^6.519 + g1^4*g2^2*t^6.538 + (6*t^6.662)/(g1^4*g2^2) + (6*t^6.681)/(g1^3*g2^3) + (3*t^6.701)/(g1^2*g2^4) + (3*t^6.912)/g1^3 + (8*t^6.931)/(g1^2*g2) + (5*t^6.95)/(g1*g2^2) + t^6.97/g2^3 + (7*g2*t^7.181)/g1 + 10*t^7.2 + (3*g1*t^7.219)/g2 + t^7.363/(g1^6*g2^6) + 2*g2^3*t^7.43 + 6*g1*g2^2*t^7.45 + 5*g1^2*g2*t^7.469 + g1^3*t^7.488 + (3*t^7.593)/(g1^6*g2^3) + (5*t^7.612)/(g1^5*g2^4) + (3*t^7.632)/(g1^4*g2^5) + t^7.651/(g1^3*g2^6) + 5*g1^2*g2^4*t^7.699 + 3*g1^3*g2^3*t^7.719 + 3*g1^4*g2^2*t^7.738 + (6*t^7.862)/(g1^4*g2^2) + (7*t^7.881)/(g1^3*g2^3) + (3*t^7.901)/(g1^2*g2^4) + g1^3*g2^6*t^7.949 + g1^4*g2^5*t^7.968 + g1^5*g2^4*t^7.988 + g1^6*g2^3*t^8.007 + (6*t^8.112)/g1^3 + (5*t^8.131)/(g1^2*g2) + (3*t^8.15)/(g1*g2^2) + t^8.17/g2^3 + (2*g2^2*t^8.361)/g1^2 + (10*g2*t^8.381)/g1 + 10*t^8.4 + (5*g1*t^8.419)/g2 + (g1^2*t^8.439)/g2^2 + (5*t^8.524)/(g1^8*g2^4) + (4*t^8.543)/(g1^7*g2^5) + (3*t^8.563)/(g1^6*g2^6) + (2*t^8.582)/(g1^5*g2^7) + t^8.601/(g1^4*g2^8) + 4*g2^3*t^8.63 + 4*g1*g2^2*t^8.65 + 2*g1^2*g2*t^8.669 + g1^3*t^8.688 + (9*t^8.793)/(g1^6*g2^3) + (10*t^8.812)/(g1^5*g2^4) + (7*t^8.832)/(g1^4*g2^5) + (3*t^8.851)/(g1^3*g2^6) + g1*g2^5*t^8.88 + 7*g1^2*g2^4*t^8.899 + 6*g1^3*g2^3*t^8.919 + 4*g1^4*g2^2*t^8.938 + g1^5*g2*t^8.957 - t^4.2/y - t^5.4/y - (2*t^6.331)/(g1^2*g2*y) - t^6.35/(g1*g2^2*y) - t^6.6/y - (g1*g2^2*t^6.85)/y - (g1^2*g2*t^6.869)/y + t^7.262/(g1^4*g2^2*y) + (2*t^7.281)/(g1^3*g2^3*y) + (2*g2*t^7.781)/(g1*y) + (2*t^7.8)/y + (g1*t^7.819)/(g2*y) + (g1^2*g2*t^8.069)/y + (g1^3*g2^3*t^8.319)/y - t^8.462/(g1^4*g2^2*y) + t^8.481/(g1^3*g2^3*y) + (3*g2*t^8.981)/(g1*y) - t^4.2*y - t^5.4*y - (2*t^6.331*y)/(g1^2*g2) - (t^6.35*y)/(g1*g2^2) - t^6.6*y - g1*g2^2*t^6.85*y - g1^2*g2*t^6.869*y + (t^7.262*y)/(g1^4*g2^2) + (2*t^7.281*y)/(g1^3*g2^3) + (2*g2*t^7.781*y)/g1 + 2*t^7.8*y + (g1*t^7.819*y)/g2 + g1^2*g2*t^8.069*y + g1^3*g2^3*t^8.319*y - (t^8.462*y)/(g1^4*g2^2) + (t^8.481*y)/(g1^3*g2^3) + (3*g2*t^8.981*y)/g1


Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#SuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
58387 ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ 1.3293 1.5918 0.8351 [X:[], M:[0.8], q:[0.56, 0.48], qb:[0.24, 0.32], phi:[0.4]] t^2.16 + 4*t^2.4 + t^2.64 + t^3.36 + 3*t^3.6 + 2*t^3.84 + t^4.32 + 5*t^4.56 + 14*t^4.8 + 6*t^5.04 + t^5.28 + t^5.52 + 7*t^5.76 + 12*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y detail {a: 13293/10000, c: 7959/5000, M1: 4/5, q1: 14/25, q2: 12/25, qb1: 6/25, qb2: 8/25, phi1: 2/5}
58381 ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ 1.1813 1.4063 0.84 [X:[1.5233], M:[0.8767], q:[0.6155, 0.369], qb:[0.1078, 0.5078], phi:[0.4]] t^2.17 + t^2.4 + 3*t^2.63 + 2*t^3.37 + t^3.6 + 2*t^3.83 + t^4.34 + 7*t^4.57 + 3*t^4.8 + 4*t^5.03 + 6*t^5.26 + 2*t^5.54 + 6*t^5.77 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y detail
58395 ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ 1.3654 1.6516 0.8267 [X:[], M:[0.7103, 0.7103], q:[0.5932, 0.4137], qb:[0.2966, 0.2966], phi:[0.4]] 4*t^2.13 + t^2.4 + 2*t^2.67 + 2*t^3.33 + t^3.6 + 2*t^3.87 + 10*t^4.26 + 6*t^4.53 + 9*t^4.8 + 6*t^5.07 + 3*t^5.34 + 8*t^5.46 + 6*t^5.73 + 7*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y detail
58394 ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ 1.3566 1.6333 0.8306 [X:[], M:[0.7107, 0.8612], q:[0.5835, 0.433], qb:[0.3058, 0.2777], phi:[0.4]] 2*t^2.13 + t^2.22 + t^2.4 + 2*t^2.58 + t^2.67 + t^3.33 + t^3.6 + 2*t^3.78 + t^3.87 + 3*t^4.26 + 2*t^4.35 + t^4.43 + 3*t^4.53 + 2*t^4.62 + 4*t^4.72 + 5*t^4.8 + t^4.88 + 4*t^4.98 + 3*t^5.07 + 3*t^5.17 + 2*t^5.25 + t^5.34 + 2*t^5.46 + t^5.55 + 3*t^5.73 + t^5.82 + 5*t^5.92 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y detail
58396 ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ 1.3656 1.6524 0.8264 [X:[], M:[0.7052, 0.7052], q:[0.5927, 0.4146], qb:[0.3021, 0.2906], phi:[0.4]] 3*t^2.12 + t^2.15 + t^2.4 + t^2.65 + t^2.68 + t^3.32 + t^3.35 + t^3.6 + 2*t^3.85 + 6*t^4.23 + 3*t^4.27 + t^4.3 + 4*t^4.52 + 2*t^4.55 + 3*t^4.77 + 5*t^4.8 + t^4.83 + 3*t^5.05 + 3*t^5.08 + t^5.3 + t^5.33 + t^5.37 + 3*t^5.43 + 4*t^5.47 + t^5.5 + 4*t^5.72 + 2*t^5.75 + 6*t^5.97 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y detail
58393 ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ 1.3287 1.5843 0.8387 [X:[], M:[0.7103, 1.2], q:[0.591, 0.4181], qb:[0.2987, 0.2923], phi:[0.4]] 2*t^2.13 + t^2.15 + t^2.65 + t^2.67 + t^3.33 + t^3.35 + 2*t^3.6 + 2*t^3.85 + t^3.87 + 3*t^4.26 + 2*t^4.28 + t^4.3 + t^4.53 + t^4.55 + 2*t^4.78 + 3*t^4.8 + t^4.82 + 2*t^5.05 + 2*t^5.07 + t^5.3 + t^5.32 + t^5.34 + 2*t^5.46 + 3*t^5.48 + t^5.5 + 4*t^5.73 + 2*t^5.75 + 4*t^5.98 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y detail
58391 ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ 1.3451 1.6131 0.8339 [X:[], M:[0.7133], q:[0.5911, 0.4178], qb:[0.2956, 0.2956], phi:[0.4]] 3*t^2.14 + t^2.4 + 2*t^2.66 + 2*t^3.34 + t^3.6 + 3*t^3.86 + 6*t^4.28 + 5*t^4.54 + 7*t^4.8 + 6*t^5.06 + 3*t^5.32 + 6*t^5.48 + 5*t^5.74 + 8*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y detail
58388 ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ 1.3187 1.5817 0.8337 [X:[], M:[0.7923], q:[0.5333, 0.5333], qb:[0.2744, 0.2589], phi:[0.4]] 3*t^2.38 + t^2.4 + 2*t^2.42 + 3*t^3.58 + t^3.6 + 2*t^3.62 + 6*t^4.75 + 6*t^4.78 + 7*t^4.8 + 5*t^4.82 + 3*t^4.85 + t^5.93 + 8*t^5.95 + 7*t^5.98 + 7*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y detail
58390 ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ 1.333 1.6009 0.8326 [X:[], M:[0.7128], q:[0.5624, 0.4752], qb:[0.3248, 0.2376], phi:[0.4]] 2*t^2.14 + 3*t^2.4 + t^2.66 + t^3.34 + 4*t^3.6 + t^3.86 + 3*t^4.28 + 7*t^4.54 + 11*t^4.8 + 5*t^5.06 + t^5.32 + 2*t^5.48 + 11*t^5.74 + 12*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y detail
58384 ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ 1.1733 1.4029 0.8363 [X:[1.6], M:[0.7258], q:[0.6914, 0.2172], qb:[0.1828, 0.5086], phi:[0.4]] 2*t^2.18 + 2*t^2.4 + t^2.62 + t^3.38 + 3*t^3.6 + t^3.82 + 3*t^4.36 + 5*t^4.58 + 8*t^4.8 + 3*t^5.02 + 2*t^5.24 + 3*t^5.56 + 8*t^5.78 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y detail


Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore 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.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
47890 SU3adj1nf2 ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ 1.427 1.6906 0.8441 [M:[0.7823], q:[0.4088, 0.3912], qb:[0.4088, 0.3912], phi:[0.4]] 2*t^2.347 + 3*t^2.4 + t^2.453 + t^3.547 + 3*t^3.6 + 3*t^4.694 + 7*t^4.747 + 2*t^4.773 + 10*t^4.8 + 2*t^4.827 + 4*t^4.853 + t^4.906 + 2*t^5.894 + 7*t^5.947 + 2*t^5.973 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y detail