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
4461	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6504	0.8761	0.7424	[M:[0.9262, 1.2213, 0.7787, 0.7787, 0.6844, 0.7787, 1.0738, 0.8319], q:[0.7316, 0.3422], qb:[0.3422, 0.4366], phi:[0.5369]]	[M:[[4], [-12], [12], [12], [-10], [12], [-4], [-18]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{8}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{8}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$	${}M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	-1	2*t^2.053 + 4*t^2.336 + t^2.496 + 3*t^3.221 + t^3.664 + t^3.947 + 3*t^4.106 + t^4.23 + 8*t^4.389 + 2*t^4.549 + 10*t^4.672 + 4*t^4.832 + t^4.991 + 6*t^5.274 + 11*t^5.557 + 3*t^5.717 - t^6. + 5*t^6.159 + 3*t^6.283 + 14*t^6.443 + 4*t^6.566 + 3*t^6.602 + 18*t^6.726 + 8*t^6.885 + 19*t^7.009 + 2*t^7.044 + 7*t^7.168 + 11*t^7.328 + t^7.451 + t^7.487 + 15*t^7.611 + 5*t^7.77 + 22*t^7.894 + t^8.177 + 8*t^8.213 - 13*t^8.336 + t^8.46 + 17*t^8.496 + 6*t^8.619 + 5*t^8.655 + 30*t^8.779 + 10*t^8.902 + 9*t^8.938 - t^4.611/y - t^6.664/y - (2*t^6.947)/y + (9*t^7.389)/y + (2*t^7.549)/y + (6*t^7.672)/y + (3*t^7.832)/y + t^8.115/y + (8*t^8.274)/y + (13*t^8.557)/y + (4*t^8.717)/y - t^4.611*y - t^6.664*y - 2*t^6.947*y + 9*t^7.389*y + 2*t^7.549*y + 6*t^7.672*y + 3*t^7.832*y + t^8.115*y + 8*t^8.274*y + 13*t^8.557*y + 4*t^8.717*y	(2*t^2.053)/g1^10 + 4*g1^12*t^2.336 + t^2.496/g1^18 + (3*t^3.221)/g1^4 + t^3.664/g1^12 + g1^10*t^3.947 + (3*t^4.106)/g1^20 + g1^32*t^4.23 + 8*g1^2*t^4.389 + (2*t^4.549)/g1^28 + 10*g1^24*t^4.672 + (4*t^4.832)/g1^6 + t^4.991/g1^36 + (6*t^5.274)/g1^14 + 11*g1^8*t^5.557 + (3*t^5.717)/g1^22 - t^6. + (5*t^6.159)/g1^30 + 3*g1^22*t^6.283 + (14*t^6.443)/g1^8 + 4*g1^44*t^6.566 + (3*t^6.602)/g1^38 + 18*g1^14*t^6.726 + (8*t^6.885)/g1^16 + 19*g1^36*t^7.009 + (2*t^7.044)/g1^46 + 7*g1^6*t^7.168 + (11*t^7.328)/g1^24 + g1^28*t^7.451 + t^7.487/g1^54 + (15*t^7.611)/g1^2 + (5*t^7.77)/g1^32 + 22*g1^20*t^7.894 + g1^42*t^8.177 + (8*t^8.213)/g1^40 - 13*g1^12*t^8.336 + g1^64*t^8.46 + (17*t^8.496)/g1^18 + 6*g1^34*t^8.619 + (5*t^8.655)/g1^48 + 30*g1^4*t^8.779 + 10*g1^56*t^8.902 + (9*t^8.938)/g1^26 - t^4.611/(g1^2*y) - t^6.664/(g1^12*y) - (2*g1^10*t^6.947)/y + (9*g1^2*t^7.389)/y + (2*t^7.549)/(g1^28*y) + (6*g1^24*t^7.672)/y + (3*t^7.832)/(g1^6*y) + (g1^16*t^8.115)/y + (8*t^8.274)/(g1^14*y) + (13*g1^8*t^8.557)/y + (4*t^8.717)/(g1^22*y) - (t^4.611*y)/g1^2 - (t^6.664*y)/g1^12 - 2*g1^10*t^6.947*y + 9*g1^2*t^7.389*y + (2*t^7.549*y)/g1^28 + 6*g1^24*t^7.672*y + (3*t^7.832*y)/g1^6 + g1^16*t^8.115*y + (8*t^8.274*y)/g1^14 + 13*g1^8*t^8.557*y + (4*t^8.717*y)/g1^22

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
5965	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$	0.6683	0.9086	0.7356	[M:[0.9237, 1.2289, 0.7711, 0.7711, 0.6908, 0.7711, 1.0763, 0.8434, 0.7711], q:[0.7309, 0.3454], qb:[0.3454, 0.4257], phi:[0.5382]]	2*t^2.072 + 5*t^2.313 + t^2.53 + 3*t^3.229 + t^3.928 + 3*t^4.145 + t^4.168 + 10*t^4.386 + 2*t^4.603 + 15*t^4.626 + 5*t^4.843 + t^5.061 + 6*t^5.301 + 14*t^5.542 + t^5.759 - 5*t^6. - t^4.614/y - t^4.614*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
2422	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$	0.637	0.8543	0.7456	[M:[0.9203, 1.2391, 0.7609, 0.7609, 0.6992, 0.7609, 1.0797], q:[0.7301, 0.3496], qb:[0.3496, 0.4113], phi:[0.5398]]	2*t^2.098 + 4*t^2.283 + 3*t^3.239 + t^3.424 + t^3.717 + t^3.902 + t^4.087 + 3*t^4.195 + 8*t^4.38 + 10*t^4.565 + 6*t^5.337 + 13*t^5.522 + 4*t^5.707 - t^6. - t^4.62/y - t^4.62*y	detail