Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
1776	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6297	0.8172	0.7705	[M:[1.0, 1.047, 0.906, 0.7326, 0.6969], q:[0.7617, 0.2383], qb:[0.5526, 0.5414], phi:[0.4765]]	[M:[[0, 0], [4, 4], [-8, -8], [-5, 3], [-1, -9]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	${}$	-2	t^2.091 + t^2.198 + t^2.339 + t^2.373 + t^2.718 + t^2.859 + t^3. + t^3.141 + t^3.768 + t^3.943 + t^4.181 + t^4.289 + t^4.396 + t^4.43 + t^4.463 + t^4.537 + t^4.57 + 2*t^4.678 + 2*t^4.711 + 2*t^4.745 + t^4.809 + t^4.916 + t^4.95 + t^5.057 + t^5.091 + 2*t^5.198 + 2*t^5.232 + 2*t^5.339 + t^5.373 + t^5.436 + t^5.48 + t^5.514 + t^5.577 + 2*t^5.718 + 2*t^5.859 - 2*t^6. + t^6.107 + 2*t^6.141 + t^6.272 + t^6.282 + t^6.316 + t^6.379 + t^6.486 + t^6.554 + t^6.594 + t^6.627 + t^6.661 + t^6.735 + 2*t^6.768 + t^6.802 + 2*t^6.836 + 2*t^6.876 + t^6.899 + t^6.909 + t^6.943 + t^7.007 + 2*t^7.017 + t^7.04 + 2*t^7.05 + 3*t^7.084 + t^7.114 + 2*t^7.118 + t^7.148 + t^7.181 + t^7.255 + 2*t^7.289 + 2*t^7.322 + 2*t^7.396 + t^7.43 + t^7.463 + t^7.527 + 4*t^7.537 + t^7.57 + 2*t^7.604 + t^7.634 + t^7.668 + 2*t^7.678 + 2*t^7.711 + t^7.745 + t^7.775 + 2*t^7.809 + t^7.819 + t^7.852 + 2*t^7.886 + 2*t^7.916 + 2*t^7.95 + 2*t^8.057 - t^8.091 + t^8.154 - t^8.198 + t^8.232 + t^8.295 - 2*t^8.339 + t^8.363 - 3*t^8.373 + 2*t^8.436 + 2*t^8.446 + t^8.47 + t^8.48 + t^8.514 + 3*t^8.577 + t^8.621 + t^8.645 + t^8.655 + t^8.684 + 2*t^8.688 - t^8.718 + t^8.752 + t^8.792 - t^8.859 + 2*t^8.927 + t^8.932 + 2*t^8.966 + t^8.99 - t^4.43/y - t^6.52/y - t^6.627/y - t^7.148/y + t^7.289/y + t^7.43/y + t^7.463/y + t^7.537/y + t^7.57/y + (2*t^7.711)/y + t^7.809/y + t^7.916/y + t^7.95/y + (2*t^8.057)/y + (2*t^8.091)/y + (2*t^8.198)/y + (3*t^8.232)/y + (3*t^8.339)/y + t^8.373/y + t^8.48/y + t^8.514/y + t^8.577/y - t^8.611/y - t^8.825/y + (3*t^8.859)/y + t^8.966/y - t^4.43*y - t^6.52*y - t^6.627*y - t^7.148*y + t^7.289*y + t^7.43*y + t^7.463*y + t^7.537*y + t^7.57*y + 2*t^7.711*y + t^7.809*y + t^7.916*y + t^7.95*y + 2*t^8.057*y + 2*t^8.091*y + 2*t^8.198*y + 3*t^8.232*y + 3*t^8.339*y + t^8.373*y + t^8.48*y + t^8.514*y + t^8.577*y - t^8.611*y - t^8.825*y + 3*t^8.859*y + t^8.966*y	t^2.091/(g1*g2^9) + (g2^3*t^2.198)/g1^5 + (g2^7*t^2.339)/g1 + (g1^7*t^2.373)/g2 + t^2.718/(g1^8*g2^8) + t^2.859/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.141 + (g2^5*t^3.768)/g1^3 + g1^9*g2*t^3.943 + t^4.181/(g1^2*g2^18) + t^4.289/(g1^6*g2^6) + (g2^6*t^4.396)/g1^10 + t^4.43/(g1^2*g2^2) + (g1^6*t^4.463)/g2^10 + (g2^10*t^4.537)/g1^6 + g1^2*g2^2*t^4.57 + (2*g2^14*t^4.678)/g1^2 + 2*g1^6*g2^6*t^4.711 + (2*g1^14*t^4.745)/g2^2 + t^4.809/(g1^9*g2^17) + t^4.916/(g1^13*g2^5) + t^4.95/(g1^5*g2^13) + t^5.057/(g1^9*g2) + t^5.091/(g1*g2^9) + (2*g2^3*t^5.198)/g1^5 + (2*g1^3*t^5.232)/g2^5 + (2*g2^7*t^5.339)/g1 + (g1^7*t^5.373)/g2 + t^5.436/(g1^16*g2^16) + g1^3*g2^11*t^5.48 + g1^11*g2^3*t^5.514 + t^5.577/(g1^12*g2^12) + (2*t^5.718)/(g1^8*g2^8) + (2*t^5.859)/(g1^4*g2^4) - 2*t^6. + (g2^12*t^6.107)/g1^4 + 2*g1^4*g2^4*t^6.141 + t^6.272/(g1^3*g2^27) + g1^8*g2^8*t^6.282 + g1^16*t^6.316 + t^6.379/(g1^7*g2^15) + t^6.486/(g1^11*g2^3) + (g1^5*t^6.554)/g2^19 + (g2^9*t^6.594)/g1^15 + (g2*t^6.627)/g1^7 + (g1*t^6.661)/g2^7 + (g2^13*t^6.735)/g1^11 + (2*g2^5*t^6.768)/g1^3 + (g1^5*t^6.802)/g2^3 + (2*g1^13*t^6.836)/g2^11 + (2*g2^17*t^6.876)/g1^7 + t^6.899/(g1^10*g2^26) + g1*g2^9*t^6.909 + g1^9*g2*t^6.943 + t^7.007/(g1^14*g2^14) + (2*g2^21*t^7.017)/g1^3 + t^7.04/(g1^6*g2^22) + 2*g1^5*g2^13*t^7.05 + 3*g1^13*g2^5*t^7.084 + t^7.114/(g1^18*g2^2) + (2*g1^21*t^7.118)/g2^3 + t^7.148/(g1^10*g2^10) + t^7.181/(g1^2*g2^18) + (g2^2*t^7.255)/g1^14 + (2*t^7.289)/(g1^6*g2^6) + (2*g1^2*t^7.322)/g2^14 + (2*g2^6*t^7.396)/g1^10 + t^7.43/(g1^2*g2^2) + (g1^6*t^7.463)/g2^10 + t^7.527/(g1^17*g2^25) + (4*g2^10*t^7.537)/g1^6 + g1^2*g2^2*t^7.57 + (2*g1^10*t^7.604)/g2^6 + t^7.634/(g1^21*g2^13) + t^7.668/(g1^13*g2^21) + (2*g2^14*t^7.678)/g1^2 + 2*g1^6*g2^6*t^7.711 + (g1^14*t^7.745)/g2^2 + t^7.775/(g1^17*g2^9) + (2*t^7.809)/(g1^9*g2^17) + g1^2*g2^18*t^7.819 + g1^10*g2^10*t^7.852 + 2*g1^18*g2^2*t^7.886 + (2*t^7.916)/(g1^13*g2^5) + (2*t^7.95)/(g1^5*g2^13) + (2*t^8.057)/(g1^9*g2) - t^8.091/(g1*g2^9) + t^8.154/(g1^24*g2^24) - (g2^3*t^8.198)/g1^5 + (g1^3*t^8.232)/g2^5 + t^8.295/(g1^20*g2^20) - (2*g2^7*t^8.339)/g1 + t^8.363/(g1^4*g2^36) - (3*g1^7*t^8.373)/g2 + (2*t^8.436)/(g1^16*g2^16) + (2*g2^19*t^8.446)/g1^5 + t^8.47/(g1^8*g2^24) + g1^3*g2^11*t^8.48 + g1^11*g2^3*t^8.514 + (3*t^8.577)/(g1^12*g2^12) + g1^7*g2^15*t^8.621 + (g1^4*t^8.645)/g2^28 + g1^15*g2^7*t^8.655 + t^8.684/g1^16 + (2*g1^23*t^8.688)/g2 - t^8.718/(g1^8*g2^8) + t^8.752/g2^16 + (g2^12*t^8.792)/g1^20 - t^8.859/(g1^4*g2^4) + (2*g1^12*t^8.927)/g2^20 + (g2^16*t^8.932)/g1^16 + (2*g2^8*t^8.966)/g1^8 + t^8.99/(g1^11*g2^35) - t^4.43/(g1^2*g2^2*y) - t^6.52/(g1^3*g2^11*y) - (g2*t^6.627)/(g1^7*y) - t^7.148/(g1^10*g2^10*y) + t^7.289/(g1^6*g2^6*y) + t^7.43/(g1^2*g2^2*y) + (g1^6*t^7.463)/(g2^10*y) + (g2^10*t^7.537)/(g1^6*y) + (g1^2*g2^2*t^7.57)/y + (2*g1^6*g2^6*t^7.711)/y + t^7.809/(g1^9*g2^17*y) + t^7.916/(g1^13*g2^5*y) + t^7.95/(g1^5*g2^13*y) + (2*t^8.057)/(g1^9*g2*y) + (2*t^8.091)/(g1*g2^9*y) + (2*g2^3*t^8.198)/(g1^5*y) + (3*g1^3*t^8.232)/(g2^5*y) + (3*g2^7*t^8.339)/(g1*y) + (g1^7*t^8.373)/(g2*y) + (g1^3*g2^11*t^8.48)/y + (g1^11*g2^3*t^8.514)/y + t^8.577/(g1^12*g2^12*y) - t^8.611/(g1^4*g2^20*y) - (g2^4*t^8.825)/(g1^12*y) + (3*t^8.859)/(g1^4*g2^4*y) + (g2^8*t^8.966)/(g1^8*y) - (t^4.43*y)/(g1^2*g2^2) - (t^6.52*y)/(g1^3*g2^11) - (g2*t^6.627*y)/g1^7 - (t^7.148*y)/(g1^10*g2^10) + (t^7.289*y)/(g1^6*g2^6) + (t^7.43*y)/(g1^2*g2^2) + (g1^6*t^7.463*y)/g2^10 + (g2^10*t^7.537*y)/g1^6 + g1^2*g2^2*t^7.57*y + 2*g1^6*g2^6*t^7.711*y + (t^7.809*y)/(g1^9*g2^17) + (t^7.916*y)/(g1^13*g2^5) + (t^7.95*y)/(g1^5*g2^13) + (2*t^8.057*y)/(g1^9*g2) + (2*t^8.091*y)/(g1*g2^9) + (2*g2^3*t^8.198*y)/g1^5 + (3*g1^3*t^8.232*y)/g2^5 + (3*g2^7*t^8.339*y)/g1 + (g1^7*t^8.373*y)/g2 + g1^3*g2^11*t^8.48*y + g1^11*g2^3*t^8.514*y + (t^8.577*y)/(g1^12*g2^12) - (t^8.611*y)/(g1^4*g2^20) - (g2^4*t^8.825*y)/g1^12 + (3*t^8.859*y)/(g1^4*g2^4) + (g2^8*t^8.966*y)/g1^8

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
2778	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$	0.6243	0.8105	0.7702	[M:[1.0, 1.0103, 0.9794, 0.7464, 0.7382, 1.0206], q:[0.7526, 0.2474], qb:[0.5114, 0.5092], phi:[0.4948]]	t^2.215 + t^2.239 + t^2.27 + t^2.276 + t^2.969 + t^3. + t^3.031 + t^3.062 + t^3.755 + t^3.792 + t^4.429 + t^4.454 + t^4.478 + t^4.485 + t^4.491 + t^4.509 + t^4.515 + 2*t^4.54 + 2*t^4.546 + 2*t^4.553 + t^5.184 + 2*t^5.239 + 2*t^5.245 + 2*t^5.27 + 2*t^5.276 + 2*t^5.301 + t^5.307 + t^5.332 + t^5.338 + t^5.938 + t^5.969 - 2*t^6. - t^4.485/y - t^4.485*y	detail
2779	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6504	0.8579	0.7582	[M:[1.0, 1.0491, 0.9019, 0.7299, 0.6965, 0.6808], q:[0.7623, 0.2377], qb:[0.5569, 0.5412], phi:[0.4755]]	t^2.042 + t^2.09 + t^2.19 + t^2.337 + t^2.384 + t^2.706 + t^2.853 + t^3. + t^3.147 + t^3.763 + t^4.085 + t^4.132 + t^4.179 + t^4.232 + t^4.279 + 2*t^4.379 + 2*t^4.426 + t^4.474 + t^4.526 + t^4.574 + 2*t^4.674 + 2*t^4.721 + t^4.748 + 2*t^4.768 + t^4.795 + 2*t^4.895 + t^4.942 + 2*t^5.042 + t^5.09 + 3*t^5.19 + 2*t^5.237 + 2*t^5.337 + t^5.384 + t^5.411 + t^5.484 + t^5.531 + t^5.558 + 2*t^5.706 + t^5.806 + 2*t^5.853 - 2*t^6. - t^4.426/y - t^4.426*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
334	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$	0.6092	0.7784	0.7826	[M:[1.0, 1.0424, 0.9152, 0.7291], q:[0.7606, 0.2394], qb:[0.5527, 0.5321], phi:[0.4788]]	t^2.187 + t^2.315 + t^2.376 + t^2.745 + t^2.873 + t^3. + t^3.127 + t^3.751 + t^3.878 + t^3.94 + t^4.375 + t^4.502 + t^4.564 + 2*t^4.629 + 2*t^4.691 + 2*t^4.753 + t^4.933 + t^5.06 + 2*t^5.187 + t^5.249 + 2*t^5.315 + t^5.376 + t^5.442 + t^5.491 + t^5.504 + t^5.618 + 2*t^5.745 + t^5.873 - 2*t^6. - t^4.436/y - t^4.436*y	detail