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
5153	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$	0.6684	0.897	0.7451	[M:[0.9548, 1.1357, 0.9548, 0.8643, 0.6935, 0.7036, 0.8643, 0.7839], q:[0.7387, 0.3065], qb:[0.4774, 0.3869], phi:[0.5226]]	[M:[[4], [-12], [4], [12], [5], [-18], [12], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{8}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$	${}M_{8}\phi_{1}q_{2}\tilde{q}_{2}$	-2	2*t^2.08 + t^2.111 + 2*t^2.352 + 2*t^2.593 + 2*t^2.864 + t^3.377 + t^3.648 + 4*t^4.161 + 2*t^4.191 + t^4.221 + 5*t^4.432 + 2*t^4.462 + 4*t^4.673 + 5*t^4.704 + 8*t^4.945 + 2*t^4.975 + 3*t^5.186 + 4*t^5.216 + 6*t^5.457 + 5*t^5.729 + 2*t^5.97 - 2*t^6. + 8*t^6.241 + t^6.271 + 2*t^6.302 + t^6.332 + 8*t^6.513 + 5*t^6.543 + 2*t^6.573 + 8*t^6.754 + 8*t^6.784 + 5*t^6.814 + 17*t^7.025 + 9*t^7.055 + 2*t^7.086 + 6*t^7.266 + 14*t^7.296 + 3*t^7.327 + 17*t^7.538 + 5*t^7.568 + 4*t^7.779 + 15*t^7.809 - t^7.839 + 10*t^8.05 - t^8.08 - 4*t^8.111 + 18*t^8.321 - 7*t^8.352 + t^8.382 + 2*t^8.412 + t^8.443 + 3*t^8.563 + 8*t^8.593 + 5*t^8.653 + 2*t^8.684 + 15*t^8.834 + 8*t^8.895 + 5*t^8.925 - t^4.568/y - t^6.648/y - t^6.679/y - t^6.92/y + (2*t^7.191)/y + (3*t^7.432)/y + (2*t^7.462)/y + (4*t^7.673)/y + (4*t^7.704)/y + (8*t^7.945)/y + (3*t^7.975)/y + t^8.186/y + (5*t^8.216)/y + (7*t^8.457)/y + (2*t^8.487)/y + (4*t^8.729)/y - t^8.789/y + (2*t^8.97)/y - t^4.568*y - t^6.648*y - t^6.679*y - t^6.92*y + 2*t^7.191*y + 3*t^7.432*y + 2*t^7.462*y + 4*t^7.673*y + 4*t^7.704*y + 8*t^7.945*y + 3*t^7.975*y + t^8.186*y + 5*t^8.216*y + 7*t^8.457*y + 2*t^8.487*y + 4*t^8.729*y - t^8.789*y + 2*t^8.97*y	2*g1^5*t^2.08 + t^2.111/g1^18 + (2*t^2.352)/g1^3 + 2*g1^12*t^2.593 + 2*g1^4*t^2.864 + g1^11*t^3.377 + g1^3*t^3.648 + 4*g1^10*t^4.161 + (2*t^4.191)/g1^13 + t^4.221/g1^36 + 5*g1^2*t^4.432 + (2*t^4.462)/g1^21 + 4*g1^17*t^4.673 + (5*t^4.704)/g1^6 + 8*g1^9*t^4.945 + (2*t^4.975)/g1^14 + 3*g1^24*t^5.186 + 4*g1*t^5.216 + 6*g1^16*t^5.457 + 5*g1^8*t^5.729 + 2*g1^23*t^5.97 - 2*t^6. + 8*g1^15*t^6.241 + t^6.271/g1^8 + (2*t^6.302)/g1^31 + t^6.332/g1^54 + 8*g1^7*t^6.513 + (5*t^6.543)/g1^16 + (2*t^6.573)/g1^39 + 8*g1^22*t^6.754 + (8*t^6.784)/g1 + (5*t^6.814)/g1^24 + 17*g1^14*t^7.025 + (9*t^7.055)/g1^9 + (2*t^7.086)/g1^32 + 6*g1^29*t^7.266 + 14*g1^6*t^7.296 + (3*t^7.327)/g1^17 + 17*g1^21*t^7.538 + (5*t^7.568)/g1^2 + 4*g1^36*t^7.779 + 15*g1^13*t^7.809 - t^7.839/g1^10 + 10*g1^28*t^8.05 - g1^5*t^8.08 - (4*t^8.111)/g1^18 + 18*g1^20*t^8.321 - (7*t^8.352)/g1^3 + t^8.382/g1^26 + (2*t^8.412)/g1^49 + t^8.443/g1^72 + 3*g1^35*t^8.563 + 8*g1^12*t^8.593 + (5*t^8.653)/g1^34 + (2*t^8.684)/g1^57 + 15*g1^27*t^8.834 + (8*t^8.895)/g1^19 + (5*t^8.925)/g1^42 - t^4.568/(g1^2*y) - (g1^3*t^6.648)/y - t^6.679/(g1^20*y) - t^6.92/(g1^5*y) + (2*t^7.191)/(g1^13*y) + (3*g1^2*t^7.432)/y + (2*t^7.462)/(g1^21*y) + (4*g1^17*t^7.673)/y + (4*t^7.704)/(g1^6*y) + (8*g1^9*t^7.945)/y + (3*t^7.975)/(g1^14*y) + (g1^24*t^8.186)/y + (5*g1*t^8.216)/y + (7*g1^16*t^8.457)/y + (2*t^8.487)/(g1^7*y) + (4*g1^8*t^8.729)/y - t^8.789/(g1^38*y) + (2*g1^23*t^8.97)/y - (t^4.568*y)/g1^2 - g1^3*t^6.648*y - (t^6.679*y)/g1^20 - (t^6.92*y)/g1^5 + (2*t^7.191*y)/g1^13 + 3*g1^2*t^7.432*y + (2*t^7.462*y)/g1^21 + 4*g1^17*t^7.673*y + (4*t^7.704*y)/g1^6 + 8*g1^9*t^7.945*y + (3*t^7.975*y)/g1^14 + g1^24*t^8.186*y + 5*g1*t^8.216*y + 7*g1^16*t^8.457*y + (2*t^8.487*y)/g1^7 + 4*g1^8*t^8.729*y - (t^8.789*y)/g1^38 + 2*g1^23*t^8.97*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
6714	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{9}$	0.6643	0.8896	0.7467	[M:[0.9577, 1.1268, 0.9577, 0.8732, 0.6972, 0.6902, 0.8732, 0.7817, 1.0423], q:[0.7394, 0.3028], qb:[0.4789, 0.3943], phi:[0.5211]]	t^2.071 + 2*t^2.091 + 2*t^2.345 + 2*t^2.62 + t^2.873 + t^3.127 + t^3.401 + t^3.655 + t^4.141 + 2*t^4.162 + 4*t^4.183 + 2*t^4.416 + 5*t^4.437 + 5*t^4.69 + 4*t^4.711 + t^4.944 + 6*t^4.965 + t^5.197 + 4*t^5.218 + 3*t^5.239 + 2*t^5.472 + 4*t^5.493 + 5*t^5.746 - t^6. - t^4.563/y - t^4.563*y	detail
6715	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$	0.6803	0.9165	0.7423	[M:[0.9615, 1.1156, 0.9615, 0.8844, 0.7018, 0.6733, 0.8844, 0.7789, 0.8559], q:[0.7404, 0.2982], qb:[0.4807, 0.4037], phi:[0.5193]]	t^2.02 + 2*t^2.106 + 2*t^2.337 + t^2.568 + 2*t^2.653 + 2*t^2.884 + t^3.663 + t^4.04 + 2*t^4.126 + 4*t^4.211 + 2*t^4.357 + 5*t^4.442 + t^4.588 + 7*t^4.673 + 4*t^4.759 + 4*t^4.904 + 8*t^4.99 + t^5.136 + 6*t^5.221 + 3*t^5.307 + t^5.452 + 4*t^5.538 + 3*t^5.769 - 2*t^6. - t^4.558/y - t^4.558*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
3496	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.651	0.8665	0.7513	[M:[0.9534, 1.1397, 0.9534, 0.8603, 0.6918, 0.7095, 0.8603], q:[0.7384, 0.3082], qb:[0.4767, 0.3836], phi:[0.5233]]	2*t^2.075 + t^2.129 + t^2.355 + 2*t^2.581 + 2*t^2.86 + t^3.366 + 2*t^3.645 + 4*t^4.151 + 2*t^4.204 + t^4.257 + 3*t^4.43 + t^4.483 + 4*t^4.656 + 3*t^4.71 + 6*t^4.936 + 2*t^4.989 + 3*t^5.162 + 2*t^5.215 + 6*t^5.441 + 6*t^5.721 + t^5.774 + 2*t^5.947 - 2*t^6. - t^4.57/y - t^4.57*y	detail