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
57634	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$	1.5159	1.7675	0.8577	[X:[], M:[0.6731, 0.6745], q:[0.4948, 0.4934], qb:[0.4948, 0.4934], phi:[0.3372]]	[X:[], M:[[-2, -5, 1], [-2, -2, 0]], q:[[3, 3, -1], [3, 0, 0]], qb:[[0, 3, 0], [0, 0, 1]], phi:[[-1, -1, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{5}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$	${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ 2}\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ 2}\phi_{1}^{3}q_{2}\tilde{q}_{2}$	1	3*t^2.02 + 3*t^2.96 + t^2.97 + t^3.04 + t^3.97 + t^3.98 + 3*t^4.04 + 3*t^4.05 + 6*t^4.98 + 10*t^4.99 + t^5.05 + 2*t^5.06 + 4*t^5.46 + t^5.92 + 8*t^5.93 + t^5.94 + t^5.99 + t^6. + 3*t^6.06 + 8*t^6.07 + 4*t^6.47 + t^6.93 + 6*t^6.94 + t^6.95 + 6*t^7. + 22*t^7.01 + 3*t^7.02 + t^7.07 + 5*t^7.08 + 14*t^7.48 + 2*t^7.49 + 7*t^7.94 + 26*t^7.95 + 11*t^7.96 + t^8.01 - 3*t^8.03 + 3*t^8.08 + 15*t^8.09 + 8*t^8.42 + 8*t^8.43 + 2*t^8.49 - 2*t^8.5 + t^8.88 + 12*t^8.89 + 6*t^8.9 + t^8.91 + t^8.95 + 9*t^8.96 - 5*t^8.97 - t^4.01/y - t^5.02/y - t^6.03/y - (2*t^6.04)/y - t^6.97/y - (3*t^6.98)/y + t^7.04/y - (2*t^7.05)/y + (4*t^7.98)/y + (7*t^7.99)/y - (2*t^8.05)/y - (2*t^8.06)/y + (6*t^8.93)/y - t^4.01*y - t^5.02*y - t^6.03*y - 2*t^6.04*y - t^6.97*y - 3*t^6.98*y + t^7.04*y - 2*t^7.05*y + 4*t^7.98*y + 7*t^7.99*y - 2*t^8.05*y - 2*t^8.06*y + 6*t^8.93*y	(2*t^2.02)/(g1^2*g2^2) + (g3*t^2.02)/(g1^2*g2^5) + 2*g1^3*g2^3*t^2.96 + g1^3*g3*t^2.96 + (g1^3*g2^6*t^2.97)/g3 + t^3.04/(g1^3*g2^3) + (g1^2*g3*t^3.97)/g2 + g1^2*g2^2*t^3.98 + (2*g3*t^4.04)/(g1^4*g2^7) + (g3^2*t^4.04)/(g1^4*g2^10) + (3*t^4.05)/(g1^4*g2^4) + (5*g1*g3*t^4.98)/g2^2 + (g1*g3^2*t^4.98)/g2^5 + 7*g1*g2*t^4.99 + (3*g1*g2^4*t^4.99)/g3 + (g3*t^5.05)/(g1^5*g2^8) + (2*t^5.06)/(g1^5*g2^5) + (g1^8*g2^5*t^5.46)/g3^2 + (g1^8*g2^2*t^5.46)/g3 + (g2^5*g3*t^5.46)/g1 + (g2^2*g3^2*t^5.46)/g1 + g1^6*g3^2*t^5.92 + 4*g1^6*g2^6*t^5.93 + (2*g1^6*g2^9*t^5.93)/g3 + 2*g1^6*g2^3*g3*t^5.93 + (g1^6*g2^12*t^5.94)/g3^2 + (g3^2*t^5.99)/g2^6 - (g2^3*t^6.)/g3 + (2*g3*t^6.)/g2^3 + (2*g3^2*t^6.06)/(g1^6*g2^12) + (g3^3*t^6.06)/(g1^6*g2^15) + (5*t^6.07)/(g1^6*g2^6) + (3*g3*t^6.07)/(g1^6*g2^9) + (g1^7*g2^4*t^6.47)/g3^2 + (g1^7*g2*t^6.47)/g3 + (g2^4*g3*t^6.47)/g1^2 + (g2*g3^2*t^6.47)/g1^2 + (g1^5*g3^2*t^6.93)/g2 + 3*g1^5*g2^5*t^6.94 + 3*g1^5*g2^2*g3*t^6.94 + (g1^5*g2^8*t^6.95)/g3 + (5*g3^2*t^7.)/(g1*g2^7) + (g3^3*t^7.)/(g1*g2^10) + (11*t^7.01)/(g1*g2) + (11*g3*t^7.01)/(g1*g2^4) + (3*g2^2*t^7.02)/(g1*g3) + (g3^2*t^7.07)/(g1^7*g2^13) + (3*t^7.08)/(g1^7*g2^7) + (2*g3*t^7.08)/(g1^7*g2^10) + (2*g1^6*t^7.48)/g2^3 + (2*g1^6*g2^3*t^7.48)/g3^2 + (3*g1^6*t^7.48)/g3 + (2*g2^3*g3*t^7.48)/g1^3 + (3*g3^2*t^7.48)/g1^3 + (2*g3^3*t^7.48)/(g1^3*g2^3) + (g2^6*t^7.49)/g1^3 + (g1^6*g2^6*t^7.49)/g3^3 + (6*g1^4*g3^2*t^7.94)/g2^2 + (g1^4*g3^3*t^7.94)/g2^5 + 14*g1^4*g2^4*t^7.95 + 12*g1^4*g2*g3*t^7.95 + (3*g1^4*g2^10*t^7.96)/g3^2 + (8*g1^4*g2^7*t^7.96)/g3 + (g3^3*t^8.01)/(g1^2*g2^11) - (2*t^8.02)/(g1^2*g2^2) + (2*g3^2*t^8.02)/(g1^2*g2^8) - (3*g2*t^8.03)/(g1^2*g3) + (2*g3^3*t^8.08)/(g1^8*g2^17) + (g3^4*t^8.08)/(g1^8*g2^20) + (7*t^8.09)/(g1^8*g2^8) + (5*g3*t^8.09)/(g1^8*g2^11) + (3*g3^2*t^8.09)/(g1^8*g2^14) + g1^11*g2^2*t^8.42 + (3*g1^11*g2^5*t^8.42)/g3 + 3*g1^2*g2^5*g3^2*t^8.42 + g1^2*g2^2*g3^3*t^8.42 + g1^2*g2^11*t^8.43 + (g1^11*g2^11*t^8.43)/g3^3 + (3*g1^11*g2^8*t^8.43)/g3^2 + 3*g1^2*g2^8*g3*t^8.43 + (g1^5*t^8.49)/(g2*g3) + (g3^2*t^8.49)/(g1^4*g2) - (g2^5*t^8.5)/g1^4 - (g1^5*g2^5*t^8.5)/g3^3 + g1^9*g3^3*t^8.88 + 6*g1^9*g2^9*t^8.89 + 4*g1^9*g2^6*g3*t^8.89 + 2*g1^9*g2^3*g3^2*t^8.89 + (2*g1^9*g2^15*t^8.9)/g3^2 + (4*g1^9*g2^12*t^8.9)/g3 + (g1^9*g2^18*t^8.91)/g3^3 + (g1^3*g3^3*t^8.95)/g2^6 - g1^3*g2^3*t^8.96 + 5*g1^3*g3*t^8.96 + (5*g1^3*g3^2*t^8.96)/g2^3 - (g1^3*g2^9*t^8.97)/g3^2 - (4*g1^3*g2^6*t^8.97)/g3 - t^4.01/(g1*g2*y) - t^5.02/(g1^2*g2^2*y) - (g3*t^6.03)/(g1^3*g2^6*y) - (2*t^6.04)/(g1^3*g2^3*y) - (g1^2*g3*t^6.97)/(g2*y) - (2*g1^2*g2^2*t^6.98)/y - (g1^2*g2^5*t^6.98)/(g3*y) + (g3*t^7.04)/(g1^4*g2^7*y) - (2*t^7.05)/(g1^4*g2^4*y) + (3*g1*g3*t^7.98)/(g2^2*y) + (g1*g3^2*t^7.98)/(g2^5*y) + (5*g1*g2*t^7.99)/y + (2*g1*g2^4*t^7.99)/(g3*y) - (g3*t^8.05)/(g1^5*g2^8*y) - (g3^2*t^8.05)/(g1^5*g2^11*y) - (2*t^8.06)/(g1^5*g2^5*y) + (2*g1^6*g2^6*t^8.93)/y + (2*g1^6*g2^9*t^8.93)/(g3*y) + (2*g1^6*g2^3*g3*t^8.93)/y - (t^4.01*y)/(g1*g2) - (t^5.02*y)/(g1^2*g2^2) - (g3*t^6.03*y)/(g1^3*g2^6) - (2*t^6.04*y)/(g1^3*g2^3) - (g1^2*g3*t^6.97*y)/g2 - 2*g1^2*g2^2*t^6.98*y - (g1^2*g2^5*t^6.98*y)/g3 + (g3*t^7.04*y)/(g1^4*g2^7) - (2*t^7.05*y)/(g1^4*g2^4) + (3*g1*g3*t^7.98*y)/g2^2 + (g1*g3^2*t^7.98*y)/g2^5 + 5*g1*g2*t^7.99*y + (2*g1*g2^4*t^7.99*y)/g3 - (g3*t^8.05*y)/(g1^5*g2^8) - (g3^2*t^8.05*y)/(g1^5*g2^11) - (2*t^8.06*y)/(g1^5*g2^5) + 2*g1^6*g2^6*t^8.93*y + (2*g1^6*g2^9*t^8.93*y)/g3 + 2*g1^6*g2^3*g3*t^8.93*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
58722	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$	1.2015	1.4345	0.8375	[X:[1.5701], M:[1.1402, 0.8598], q:[0.2149, 0.4954], qb:[0.2149, 0.4954], phi:[0.4299]]	2*t^2.13 + 2*t^2.58 + t^2.97 + 2*t^3.42 + 2*t^3.87 + 2*t^4.07 + 4*t^4.26 + 7*t^4.71 + 2*t^4.91 + 2*t^5.1 + t^5.16 + 2*t^5.36 + 7*t^5.55 + 2*t^5.8 + t^5.95 + 3*t^6. - t^4.29/y - t^5.58/y - t^4.29*y - t^5.58*y	detail
58630	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.4616	1.7238	0.8479	[X:[], M:[0.8558, 0.7628], q:[0.3814, 0.4744], qb:[0.3814, 0.4744], phi:[0.3814]]	3*t^2.29 + 3*t^2.57 + t^2.85 + t^3.43 + t^3.71 + t^3.99 + 7*t^4.58 + 13*t^4.86 + 12*t^5.13 + 3*t^5.41 + t^5.69 + t^5.72 + 4*t^6. - t^4.14/y - t^5.29/y - t^4.14*y - t^5.29*y	detail
58765	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$	1.3614	1.5868	0.8579	[X:[1.3724], M:[1.0, 0.7447], q:[0.3138, 0.5691], qb:[0.3138, 0.5691], phi:[0.3724]]	2*t^2.23 + 2*t^2.65 + t^3. + t^3.35 + t^3.41 + t^3.77 + 2*t^4.12 + 3*t^4.47 + t^4.53 + 2*t^4.71 + 6*t^4.88 + 3*t^5.3 + 2*t^5.47 + 2*t^5.59 + 5*t^5.65 + 2*t^5.82 + t^6. - t^4.12/y - t^5.23/y - t^4.12*y - t^5.23*y	detail
60056	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$	1.5367	1.8085	0.8497	[X:[], M:[0.674, 0.674, 0.674], q:[0.4945, 0.4945], qb:[0.4945, 0.4945], phi:[0.337]]	4*t^2.02 + 4*t^2.97 + t^3.03 + t^3.98 + 10*t^4.04 + 20*t^4.99 + 4*t^5.05 + 4*t^5.46 + 10*t^5.93 - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail
58803	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$	1.5158	1.7661	0.8582	[X:[], M:[0.6766, 0.6706], q:[0.4941, 0.5], qb:[0.4941, 0.5], phi:[0.3353]]	2*t^2.01 + t^2.03 + t^2.96 + 2*t^2.98 + t^3. + t^3.02 + t^3.99 + t^4.01 + 3*t^4.02 + 2*t^4.04 + t^4.06 + 3*t^4.98 + 7*t^4.99 + 5*t^5.01 + 3*t^5.03 + t^5.05 + 2*t^5.47 + 2*t^5.49 + t^5.93 + 2*t^5.95 + 4*t^5.96 + t^5.98 + t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*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
47933	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$	1.5159	1.7676	0.8576	[M:[0.6732, 0.6732], q:[0.4941, 0.4941], qb:[0.4955, 0.4927], phi:[0.3373]]	2*t^2.019 + t^2.024 + 2*t^2.96 + 2*t^2.969 + t^3.036 + 2*t^3.972 + 3*t^4.039 + 2*t^4.043 + t^4.047 + 4*t^4.98 + 4*t^4.984 + 4*t^4.988 + 4*t^4.992 + 2*t^5.055 + t^5.059 + t^5.454 + 2*t^5.458 + t^5.463 + 3*t^5.92 + 4*t^5.929 + 3*t^5.937 + 3*t^5.992 + 4*t^5.996 - 6*t^6. - t^4.012/y - t^5.024/y - t^4.012*y - t^5.024*y	detail