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
4459	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6842	0.8731	0.7837	[X:[1.5742], M:[0.4258, 1.1914, 0.7871, 0.8515, 0.7227, 0.8515, 0.7656, 0.8301], q:[0.7979, 0.7764], qb:[0.4365, 0.3721], phi:[0.4043]]	[X:[[12]], M:[[-12], [4], [6], [-24], [36], [-24], [16], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{7}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.168 + t^2.297 + t^2.361 + t^2.426 + t^2.49 + 2*t^2.555 + t^3.574 + t^3.639 + t^4.336 + t^4.465 + t^4.529 + 2*t^4.594 + 3*t^4.658 + 5*t^4.723 + t^4.787 + 5*t^4.852 + 3*t^4.916 + 2*t^4.98 + 2*t^5.045 + 3*t^5.109 + t^5.742 + 2*t^5.871 + t^5.936 - 2*t^6. + t^6.064 + 2*t^6.129 + t^6.504 + t^6.633 + t^6.698 + 2*t^6.762 + 3*t^6.826 + 6*t^6.891 + 3*t^6.955 + 6*t^7.02 + 5*t^7.084 + 7*t^7.148 + 7*t^7.213 + 9*t^7.277 + 4*t^7.342 + 7*t^7.406 + 5*t^7.471 + 3*t^7.535 + 3*t^7.599 + 4*t^7.664 + t^7.91 + 2*t^8.039 - 2*t^8.168 + t^8.233 - t^8.297 - 4*t^8.361 - 2*t^8.49 - 7*t^8.555 + t^8.672 + t^8.683 - t^8.748 + t^8.801 + t^8.866 + 2*t^8.93 + 3*t^8.994 - t^4.213/y - t^6.381/y - t^6.51/y - t^6.574/y - t^6.703/y - (2*t^6.767)/y + t^7.465/y + t^7.529/y + t^7.594/y + (4*t^7.658)/y + (4*t^7.723)/y + (2*t^7.787)/y + (4*t^7.852)/y + (4*t^7.916)/y + (2*t^7.98)/y + (3*t^8.045)/y + t^8.109/y - t^8.549/y - t^8.678/y - t^8.871/y - t^8.936/y - t^4.213*y - t^6.381*y - t^6.51*y - t^6.574*y - t^6.703*y - 2*t^6.767*y + t^7.465*y + t^7.529*y + t^7.594*y + 4*t^7.658*y + 4*t^7.723*y + 2*t^7.787*y + 4*t^7.852*y + 4*t^7.916*y + 2*t^7.98*y + 3*t^8.045*y + t^8.109*y - t^8.549*y - t^8.678*y - t^8.871*y - t^8.936*y	g1^36*t^2.168 + g1^16*t^2.297 + g1^6*t^2.361 + t^2.426/g1^4 + t^2.49/g1^14 + (2*t^2.555)/g1^24 + g1^4*t^3.574 + t^3.639/g1^6 + g1^72*t^4.336 + g1^52*t^4.465 + g1^42*t^4.529 + 2*g1^32*t^4.594 + 3*g1^22*t^4.658 + 5*g1^12*t^4.723 + g1^2*t^4.787 + (5*t^4.852)/g1^8 + (3*t^4.916)/g1^18 + (2*t^4.98)/g1^28 + (2*t^5.045)/g1^38 + (3*t^5.109)/g1^48 + g1^40*t^5.742 + 2*g1^20*t^5.871 + g1^10*t^5.936 - 2*t^6. + t^6.064/g1^10 + (2*t^6.129)/g1^20 + g1^108*t^6.504 + g1^88*t^6.633 + g1^78*t^6.698 + 2*g1^68*t^6.762 + 3*g1^58*t^6.826 + 6*g1^48*t^6.891 + 3*g1^38*t^6.955 + 6*g1^28*t^7.02 + 5*g1^18*t^7.084 + 7*g1^8*t^7.148 + (7*t^7.213)/g1^2 + (9*t^7.277)/g1^12 + (4*t^7.342)/g1^22 + (7*t^7.406)/g1^32 + (5*t^7.471)/g1^42 + (3*t^7.535)/g1^52 + (3*t^7.599)/g1^62 + (4*t^7.664)/g1^72 + g1^76*t^7.91 + 2*g1^56*t^8.039 - 2*g1^36*t^8.168 + g1^26*t^8.233 - g1^16*t^8.297 - 4*g1^6*t^8.361 - (2*t^8.49)/g1^14 - (7*t^8.555)/g1^24 + g1^144*t^8.672 + t^8.683/g1^44 - t^8.748/g1^54 + g1^124*t^8.801 + g1^114*t^8.866 + 2*g1^104*t^8.93 + 3*g1^94*t^8.994 - t^4.213/(g1^2*y) - (g1^34*t^6.381)/y - (g1^14*t^6.51)/y - (g1^4*t^6.574)/y - t^6.703/(g1^16*y) - (2*t^6.767)/(g1^26*y) + (g1^52*t^7.465)/y + (g1^42*t^7.529)/y + (g1^32*t^7.594)/y + (4*g1^22*t^7.658)/y + (4*g1^12*t^7.723)/y + (2*g1^2*t^7.787)/y + (4*t^7.852)/(g1^8*y) + (4*t^7.916)/(g1^18*y) + (2*t^7.98)/(g1^28*y) + (3*t^8.045)/(g1^38*y) + t^8.109/(g1^48*y) - (g1^70*t^8.549)/y - (g1^50*t^8.678)/y - (g1^20*t^8.871)/y - (g1^10*t^8.936)/y - (t^4.213*y)/g1^2 - g1^34*t^6.381*y - g1^14*t^6.51*y - g1^4*t^6.574*y - (t^6.703*y)/g1^16 - (2*t^6.767*y)/g1^26 + g1^52*t^7.465*y + g1^42*t^7.529*y + g1^32*t^7.594*y + 4*g1^22*t^7.658*y + 4*g1^12*t^7.723*y + 2*g1^2*t^7.787*y + (4*t^7.852*y)/g1^8 + (4*t^7.916*y)/g1^18 + (2*t^7.98*y)/g1^28 + (3*t^8.045*y)/g1^38 + (t^8.109*y)/g1^48 - g1^70*t^8.549*y - g1^50*t^8.678*y - g1^20*t^8.871*y - g1^10*t^8.936*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
5963	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{9}$	0.667	0.8425	0.7917	[X:[1.5762], M:[0.4238, 1.1921, 0.7881, 0.8476, 0.7285, 0.8476, 0.7682, 0.8278, 1.2119], q:[0.798, 0.7782], qb:[0.4338, 0.3742], phi:[0.404]]	t^2.186 + t^2.305 + t^2.424 + t^2.483 + 2*t^2.543 + t^3.576 + 2*t^3.636 + t^4.371 + t^4.49 + 2*t^4.609 + 2*t^4.669 + 4*t^4.729 + 4*t^4.848 + t^4.907 + 2*t^4.967 + 2*t^5.026 + 3*t^5.086 + t^5.762 + t^5.821 + 2*t^5.881 + t^5.94 - 3*t^6. - t^4.212/y - t^4.212*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
2420	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6699	0.8489	0.7892	[X:[1.5685], M:[0.4315, 1.1895, 0.7842, 0.8631, 0.7054, 0.8631, 0.758], q:[0.7974, 0.7711], qb:[0.4447, 0.3658], phi:[0.4053]]	t^2.116 + t^2.274 + t^2.353 + t^2.432 + 2*t^2.589 + t^3.49 + t^3.568 + t^3.647 + t^4.233 + t^4.39 + t^4.469 + 2*t^4.548 + 2*t^4.627 + 5*t^4.705 + 4*t^4.863 + 2*t^4.942 + t^5.021 + 3*t^5.178 + t^5.606 + t^5.685 + t^5.764 + 3*t^5.842 + 2*t^5.921 - 2*t^6. - t^4.216/y - t^4.216*y	detail