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
5204	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$	0.6957	0.8912	0.7806	[M:[0.8119, 1.0627, 1.1881, 0.6865, 0.8119, 1.0298, 0.9373, 0.6865], q:[0.4224, 0.7657], qb:[0.3895, 0.5478], phi:[0.4687]]	[M:[[-12], [4], [12], [-20], [-12], [-30], [-4], [-20]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$	${}$	-3	2*t^2.06 + 2*t^2.436 + 2*t^2.812 + t^3.089 + t^3.466 + t^3.743 + t^3.842 + 3*t^4.119 + t^4.218 + t^4.317 + 4*t^4.495 + t^4.693 + 7*t^4.872 + 2*t^5.149 + 4*t^5.248 + 3*t^5.525 + 2*t^5.624 + 2*t^5.803 + 5*t^5.901 - 3*t^6. - t^6.099 + 7*t^6.179 + 5*t^6.277 - t^6.376 - t^6.475 + 9*t^6.555 + 2*t^6.654 + 2*t^6.752 + t^6.832 + 12*t^6.931 - t^7.03 + t^7.128 + 4*t^7.209 + 12*t^7.307 - 3*t^7.406 + t^7.486 + 6*t^7.585 + 10*t^7.683 - t^7.782 + 3*t^7.862 - 3*t^7.881 + 11*t^7.961 - 2*t^8.06 - 3*t^8.158 + 11*t^8.238 - t^8.257 + 12*t^8.337 - 6*t^8.436 - 4*t^8.534 + 18*t^8.615 + 10*t^8.713 - 9*t^8.812 + 2*t^8.892 - 3*t^8.911 + 23*t^8.991 - t^4.406/y - (2*t^6.466)/y - t^6.842/y + t^7.119/y - t^7.218/y + t^7.317/y + (3*t^7.495)/y + t^7.594/y + (5*t^7.872)/y + t^7.97/y + (2*t^8.149)/y + (4*t^8.248)/y + (2*t^8.346)/y + t^8.525/y + t^8.624/y + (2*t^8.803)/y + (4*t^8.901)/y - t^4.406*y - 2*t^6.466*y - t^6.842*y + t^7.119*y - t^7.218*y + t^7.317*y + 3*t^7.495*y + t^7.594*y + 5*t^7.872*y + t^7.97*y + 2*t^8.149*y + 4*t^8.248*y + 2*t^8.346*y + t^8.525*y + t^8.624*y + 2*t^8.803*y + 4*t^8.901*y	(2*t^2.06)/g1^20 + (2*t^2.436)/g1^12 + (2*t^2.812)/g1^4 + t^3.089/g1^30 + t^3.466/g1^22 + t^3.743/g1^48 + t^3.842/g1^14 + (3*t^4.119)/g1^40 + t^4.218/g1^6 + g1^28*t^4.317 + (4*t^4.495)/g1^32 + g1^36*t^4.693 + (7*t^4.872)/g1^24 + (2*t^5.149)/g1^50 + (4*t^5.248)/g1^16 + (3*t^5.525)/g1^42 + (2*t^5.624)/g1^8 + (2*t^5.803)/g1^68 + (5*t^5.901)/g1^34 - 3*t^6. - g1^34*t^6.099 + (7*t^6.179)/g1^60 + (5*t^6.277)/g1^26 - g1^8*t^6.376 - g1^42*t^6.475 + (9*t^6.555)/g1^52 + (2*t^6.654)/g1^18 + 2*g1^16*t^6.752 + t^6.832/g1^78 + (12*t^6.931)/g1^44 - t^7.03/g1^10 + g1^24*t^7.128 + (4*t^7.209)/g1^70 + (12*t^7.307)/g1^36 - (3*t^7.406)/g1^2 + t^7.486/g1^96 + (6*t^7.585)/g1^62 + (10*t^7.683)/g1^28 - g1^6*t^7.782 + (3*t^7.862)/g1^88 - 3*g1^40*t^7.881 + (11*t^7.961)/g1^54 - (2*t^8.06)/g1^20 - 3*g1^14*t^8.158 + (11*t^8.238)/g1^80 - g1^48*t^8.257 + (12*t^8.337)/g1^46 - (6*t^8.436)/g1^12 - 4*g1^22*t^8.534 + (18*t^8.615)/g1^72 + (10*t^8.713)/g1^38 - (9*t^8.812)/g1^4 + (2*t^8.892)/g1^98 - 3*g1^30*t^8.911 + (23*t^8.991)/g1^64 - t^4.406/(g1^2*y) - (2*t^6.466)/(g1^22*y) - t^6.842/(g1^14*y) + t^7.119/(g1^40*y) - t^7.218/(g1^6*y) + (g1^28*t^7.317)/y + (3*t^7.495)/(g1^32*y) + (g1^2*t^7.594)/y + (5*t^7.872)/(g1^24*y) + (g1^10*t^7.97)/y + (2*t^8.149)/(g1^50*y) + (4*t^8.248)/(g1^16*y) + (2*g1^18*t^8.346)/y + t^8.525/(g1^42*y) + t^8.624/(g1^8*y) + (2*t^8.803)/(g1^68*y) + (4*t^8.901)/(g1^34*y) - (t^4.406*y)/g1^2 - (2*t^6.466*y)/g1^22 - (t^6.842*y)/g1^14 + (t^7.119*y)/g1^40 - (t^7.218*y)/g1^6 + g1^28*t^7.317*y + (3*t^7.495*y)/g1^32 + g1^2*t^7.594*y + (5*t^7.872*y)/g1^24 + g1^10*t^7.97*y + (2*t^8.149*y)/g1^50 + (4*t^8.248*y)/g1^16 + 2*g1^18*t^8.346*y + (t^8.525*y)/g1^42 + (t^8.624*y)/g1^8 + (2*t^8.803*y)/g1^68 + (4*t^8.901*y)/g1^34

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
6753	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$	0.7158	0.9283	0.7711	[M:[0.8138, 1.0621, 1.1862, 0.6897, 0.8138, 1.0346, 0.9379, 0.6897, 0.7172], q:[0.4207, 0.7655], qb:[0.3932, 0.5448], phi:[0.469]]	2*t^2.069 + t^2.152 + 2*t^2.441 + 2*t^2.814 + t^3.104 + t^3.476 + t^3.766 + 3*t^4.138 + 3*t^4.221 + 2*t^4.303 + 4*t^4.511 + 2*t^4.593 + t^4.676 + 7*t^4.883 + 2*t^4.965 + 2*t^5.173 + 5*t^5.255 + 3*t^5.545 + 3*t^5.628 + 2*t^5.835 + 4*t^5.918 - 3*t^6. - t^4.407/y - t^4.407*y	detail
6752	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$	0.7152	0.9253	0.7729	[M:[0.8192, 1.0603, 1.1808, 0.6987, 0.8192, 1.0481, 0.9397, 0.6987, 0.7231], q:[0.4157, 0.7651], qb:[0.4035, 0.5362], phi:[0.4699]]	2*t^2.096 + t^2.169 + 2*t^2.458 + 2*t^2.819 + t^3.144 + t^3.506 + t^3.867 + 3*t^4.192 + t^4.229 + 3*t^4.265 + t^4.338 + 4*t^4.554 + 3*t^4.627 + 7*t^4.915 + 2*t^4.988 + 2*t^5.24 + 4*t^5.277 + t^5.313 + 3*t^5.602 + 2*t^5.638 + t^5.675 + 5*t^5.964 - 3*t^6. - t^4.41/y - t^4.41*y	detail	{a: 4160953/5817744, c: 2691617/2908872, M1: 494/603, M2: 1918/1809, M3: 712/603, M4: 1264/1809, M5: 494/603, M6: 632/603, M7: 1700/1809, M8: 1264/1809, M9: 436/603, q1: 752/1809, q2: 1384/1809, qb1: 730/1809, qb2: 970/1809, phi1: 850/1809}

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
3534	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$	0.6749	0.8505	0.7935	[M:[0.8132, 1.0623, 1.1868, 0.6886, 0.8132, 1.0329, 0.9377], q:[0.4213, 0.7656], qb:[0.3919, 0.5458], phi:[0.4689]]	t^2.066 + 2*t^2.439 + 2*t^2.813 + t^3.099 + t^3.472 + t^3.758 + t^3.846 + t^3.934 + t^4.132 + t^4.22 + t^4.308 + 2*t^4.505 + t^4.682 + 5*t^4.879 + t^5.164 + 4*t^5.253 + 2*t^5.538 + 2*t^5.626 + t^5.824 + 4*t^5.912 - 2*t^6. - t^4.407/y - t^4.407*y	detail