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
45884	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$	0.6486	0.7977	0.8132	[M:[0.6859, 0.6962], q:[0.8388, 0.4753], qb:[0.4649, 0.8079], phi:[0.3533]]	[M:[[-8, 8], [-7, 5]], q:[[3, -5], [5, -3]], qb:[[4, 0], [0, 4]], phi:[[-3, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$	-1	t^2.058 + t^2.089 + t^2.12 + t^2.821 + t^3.819 + 2*t^3.849 + t^3.88 + t^3.911 + t^4.115 + t^4.146 + 2*t^4.177 + t^4.208 + t^4.239 + t^4.878 + t^4.909 + 2*t^4.94 + t^5.641 + t^5.876 + 3*t^5.907 + 3*t^5.938 + 2*t^5.969 - t^6. - t^6.031 - t^6.062 + t^6.173 + t^6.204 + 2*t^6.235 + 2*t^6.266 + 2*t^6.297 + t^6.328 + t^6.359 + t^6.639 + 2*t^6.67 + t^6.701 + t^6.732 + t^6.936 + t^6.967 + 2*t^6.998 - 2*t^7.091 - t^7.122 + t^7.637 + 2*t^7.668 + 4*t^7.699 + 2*t^7.73 + 2*t^7.761 - t^7.792 + t^7.934 + 3*t^7.965 + 4*t^7.996 + 4*t^8.027 - 2*t^8.089 - 3*t^8.12 - 2*t^8.151 - t^8.181 + t^8.231 + t^8.262 + 2*t^8.293 + 2*t^8.324 + 3*t^8.355 + 2*t^8.386 + 2*t^8.416 + t^8.447 + t^8.462 + t^8.478 + t^8.697 + 3*t^8.728 + 3*t^8.759 + 2*t^8.79 - 2*t^8.821 - 2*t^8.852 - 2*t^8.883 + t^8.994 - t^4.06/y - t^6.117/y - t^6.148/y - t^6.179/y + t^7.146/y + t^7.177/y + t^7.208/y + t^7.878/y + t^7.909/y + (2*t^7.94)/y + t^7.971/y + t^8.002/y - t^8.175/y - t^8.206/y - (2*t^8.237)/y - t^8.268/y - t^8.299/y + t^8.876/y + (3*t^8.907)/y + (4*t^8.938)/y + (4*t^8.969)/y - t^4.06*y - t^6.117*y - t^6.148*y - t^6.179*y + t^7.146*y + t^7.177*y + t^7.208*y + t^7.878*y + t^7.909*y + 2*t^7.94*y + t^7.971*y + t^8.002*y - t^8.175*y - t^8.206*y - 2*t^8.237*y - t^8.268*y - t^8.299*y + t^8.876*y + 3*t^8.907*y + 4*t^8.938*y + 4*t^8.969*y	(g2^8*t^2.058)/g1^8 + (g2^5*t^2.089)/g1^7 + (g2^2*t^2.12)/g1^6 + (g1^9*t^2.821)/g2^3 + g1^4*g2^4*t^3.819 + 2*g1^5*g2*t^3.849 + (g1^6*t^3.88)/g2^2 + (g1^7*t^3.911)/g2^5 + (g2^16*t^4.115)/g1^16 + (g2^13*t^4.146)/g1^15 + (2*g2^10*t^4.177)/g1^14 + (g2^7*t^4.208)/g1^13 + (g2^4*t^4.239)/g1^12 + g1*g2^5*t^4.878 + g1^2*g2^2*t^4.909 + (2*g1^3*t^4.94)/g2 + (g1^18*t^5.641)/g2^6 + (g2^12*t^5.876)/g1^4 + (3*g2^9*t^5.907)/g1^3 + (3*g2^6*t^5.938)/g1^2 + (2*g2^3*t^5.969)/g1 - t^6. - (g1*t^6.031)/g2^3 - (g1^2*t^6.062)/g2^6 + (g2^24*t^6.173)/g1^24 + (g2^21*t^6.204)/g1^23 + (2*g2^18*t^6.235)/g1^22 + (2*g2^15*t^6.266)/g1^21 + (2*g2^12*t^6.297)/g1^20 + (g2^9*t^6.328)/g1^19 + (g2^6*t^6.359)/g1^18 + g1^13*g2*t^6.639 + (2*g1^14*t^6.67)/g2^2 + (g1^15*t^6.701)/g2^5 + (g1^16*t^6.732)/g2^8 + (g2^13*t^6.936)/g1^7 + (g2^10*t^6.967)/g1^6 + (2*g2^7*t^6.998)/g1^5 - (2*t^7.091)/(g1^2*g2^2) - t^7.122/(g1*g2^5) + g1^8*g2^8*t^7.637 + 2*g1^9*g2^5*t^7.668 + 4*g1^10*g2^2*t^7.699 + (2*g1^11*t^7.73)/g2 + (2*g1^12*t^7.761)/g2^4 - (g1^13*t^7.792)/g2^7 + (g2^20*t^7.934)/g1^12 + (3*g2^17*t^7.965)/g1^11 + (4*g2^14*t^7.996)/g1^10 + (4*g2^11*t^8.027)/g1^9 - (2*g2^5*t^8.089)/g1^7 - (3*g2^2*t^8.12)/g1^6 - (2*t^8.151)/(g1^5*g2) - t^8.181/(g1^4*g2^4) + (g2^32*t^8.231)/g1^32 + (g2^29*t^8.262)/g1^31 + (2*g2^26*t^8.293)/g1^30 + (2*g2^23*t^8.324)/g1^29 + (3*g2^20*t^8.355)/g1^28 + (2*g2^17*t^8.386)/g1^27 + (2*g2^14*t^8.416)/g1^26 + (g2^11*t^8.447)/g1^25 + (g1^27*t^8.462)/g2^9 + (g2^8*t^8.478)/g1^24 + g1^5*g2^9*t^8.697 + 3*g1^6*g2^6*t^8.728 + 3*g1^7*g2^3*t^8.759 + 2*g1^8*t^8.79 - (2*g1^9*t^8.821)/g2^3 - (2*g1^10*t^8.852)/g2^6 - (2*g1^11*t^8.883)/g2^9 + (g2^21*t^8.994)/g1^15 - (g2*t^4.06)/(g1^3*y) - (g2^9*t^6.117)/(g1^11*y) - (g2^6*t^6.148)/(g1^10*y) - (g2^3*t^6.179)/(g1^9*y) + (g2^13*t^7.146)/(g1^15*y) + (g2^10*t^7.177)/(g1^14*y) + (g2^7*t^7.208)/(g1^13*y) + (g1*g2^5*t^7.878)/y + (g1^2*g2^2*t^7.909)/y + (2*g1^3*t^7.94)/(g2*y) + (g1^4*t^7.971)/(g2^4*y) + (g1^5*t^8.002)/(g2^7*y) - (g2^17*t^8.175)/(g1^19*y) - (g2^14*t^8.206)/(g1^18*y) - (2*g2^11*t^8.237)/(g1^17*y) - (g2^8*t^8.268)/(g1^16*y) - (g2^5*t^8.299)/(g1^15*y) + (g2^12*t^8.876)/(g1^4*y) + (3*g2^9*t^8.907)/(g1^3*y) + (4*g2^6*t^8.938)/(g1^2*y) + (4*g2^3*t^8.969)/(g1*y) - (g2*t^4.06*y)/g1^3 - (g2^9*t^6.117*y)/g1^11 - (g2^6*t^6.148*y)/g1^10 - (g2^3*t^6.179*y)/g1^9 + (g2^13*t^7.146*y)/g1^15 + (g2^10*t^7.177*y)/g1^14 + (g2^7*t^7.208*y)/g1^13 + g1*g2^5*t^7.878*y + g1^2*g2^2*t^7.909*y + (2*g1^3*t^7.94*y)/g2 + (g1^4*t^7.971*y)/g2^4 + (g1^5*t^8.002*y)/g2^7 - (g2^17*t^8.175*y)/g1^19 - (g2^14*t^8.206*y)/g1^18 - (2*g2^11*t^8.237*y)/g1^17 - (g2^8*t^8.268*y)/g1^16 - (g2^5*t^8.299*y)/g1^15 + (g2^12*t^8.876*y)/g1^4 + (3*g2^9*t^8.907*y)/g1^3 + (4*g2^6*t^8.938*y)/g1^2 + (4*g2^3*t^8.969*y)/g1

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
46075	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$	0.5614	0.6887	0.8152	[M:[1.0618, 0.9382], q:[0.611, 0.3272], qb:[0.4508, 0.9817], phi:[0.4073]]	t^2.334 + t^2.444 + t^2.815 + 2*t^3.185 + t^3.556 + 2*t^3.927 + t^4.297 + t^4.668 + 2*t^4.778 + t^4.888 + t^5.149 + 2*t^5.519 + t^5.629 + t^5.89 - t^4.222/y - t^4.222*y	detail
46070	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$	0.5879	0.7149	0.8223	[M:[1.0, 0.8831], q:[0.6331, 0.3669], qb:[0.4837, 0.9837], phi:[0.3831]]	t^2.299 + t^2.552 + t^2.649 + t^3. + t^3.351 + t^3.701 + 2*t^4.052 + t^4.402 + t^4.598 + 2*t^4.851 + t^4.948 + t^5.104 + t^5.201 + t^5.299 + t^5.552 + t^5.902 - t^4.149/y - t^4.149*y	detail
45990	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$	0.6283	0.7599	0.8268	[M:[0.6894, 0.7014, 1.2867], q:[0.8396, 0.471], qb:[0.459, 0.8037], phi:[0.3567]]	t^2.068 + t^2.104 + t^2.79 + t^3.788 + 2*t^3.824 + 2*t^3.86 + t^3.896 + t^4.136 + t^4.172 + t^4.208 + t^4.858 + t^4.894 + t^4.93 + t^5.58 + t^5.856 + 3*t^5.892 + 3*t^5.928 + t^5.964 - 2*t^6. - t^4.07/y - t^4.07*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
45854	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	0.6487	0.7983	0.8127	[M:[0.6881, 0.6881], q:[0.8426, 0.4693], qb:[0.4693, 0.8036], phi:[0.3538]]	2*t^2.064 + t^2.123 + t^2.816 + 2*t^3.819 + 3*t^3.877 + 3*t^4.128 + 2*t^4.187 + t^4.245 + 2*t^4.88 + 2*t^4.939 + t^5.632 + 4*t^5.883 + 6*t^5.941 - 2*t^6. - t^4.061/y - t^4.061*y	detail