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
2953	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.6948	0.885	0.785	[M:[0.8282, 1.0573, 1.1718, 0.7136, 0.8282, 0.7136], q:[0.4075, 0.7643], qb:[0.4207, 0.5221], phi:[0.4714]]	[M:[[-12], [4], [12], [-20], [-12], [-20]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$	${}$	-2	2*t^2.141 + 2*t^2.485 + t^2.789 + t^2.828 + t^3.172 + t^3.555 + t^3.899 + t^3.938 + t^4.203 + t^4.242 + 3*t^4.282 + t^4.546 + 4*t^4.625 + 2*t^4.93 + 5*t^4.969 + 2*t^5.273 + 4*t^5.313 + t^5.577 + t^5.617 + 2*t^5.656 + t^5.696 - 2*t^6. + 3*t^6.04 + 2*t^6.079 - t^6.304 + t^6.344 + 4*t^6.383 + 6*t^6.423 + 3*t^6.687 + 3*t^6.727 + 7*t^6.766 + t^6.991 + t^7.031 + 2*t^7.07 + 9*t^7.11 + t^7.335 + t^7.414 + 10*t^7.454 + t^7.493 + 3*t^7.758 + 7*t^7.797 + 2*t^7.837 + t^7.876 + t^8.062 + t^8.101 - t^8.141 + 4*t^8.18 + 3*t^8.22 + t^8.366 + t^8.406 - 2*t^8.445 - 3*t^8.485 + 7*t^8.524 + 9*t^8.564 + t^8.749 - 4*t^8.789 - t^8.828 + 8*t^8.868 + 13*t^8.907 - t^4.414/y - (2*t^6.555)/y - t^6.899/y + t^7.282/y + (4*t^7.625)/y + (3*t^7.93)/y + (3*t^7.969)/y + (4*t^8.273)/y + (4*t^8.313)/y + t^8.617/y + (2*t^8.656)/y - t^8.696/y + t^8.96/y - t^4.414*y - 2*t^6.555*y - t^6.899*y + t^7.282*y + 4*t^7.625*y + 3*t^7.93*y + 3*t^7.969*y + 4*t^8.273*y + 4*t^8.313*y + t^8.617*y + 2*t^8.656*y - t^8.696*y + t^8.96*y	(2*t^2.141)/g1^20 + (2*t^2.485)/g1^12 + g1^30*t^2.789 + t^2.828/g1^4 + g1^4*t^3.172 + t^3.555/g1^22 + t^3.899/g1^14 + t^3.938/g1^48 + g1^28*t^4.203 + t^4.242/g1^6 + (3*t^4.282)/g1^40 + g1^36*t^4.546 + (4*t^4.625)/g1^32 + 2*g1^10*t^4.93 + (5*t^4.969)/g1^24 + 2*g1^18*t^5.273 + (4*t^5.313)/g1^16 + g1^60*t^5.577 + g1^26*t^5.617 + (2*t^5.656)/g1^8 + t^5.696/g1^42 - 2*t^6. + (3*t^6.04)/g1^34 + (2*t^6.079)/g1^68 - g1^42*t^6.304 + g1^8*t^6.344 + (4*t^6.383)/g1^26 + (6*t^6.423)/g1^60 + 3*g1^16*t^6.687 + (3*t^6.727)/g1^18 + (7*t^6.766)/g1^52 + g1^58*t^6.991 + g1^24*t^7.031 + (2*t^7.07)/g1^10 + (9*t^7.11)/g1^44 + g1^66*t^7.335 + t^7.414/g1^2 + (10*t^7.454)/g1^36 + t^7.493/g1^70 + 3*g1^6*t^7.758 + (7*t^7.797)/g1^28 + (2*t^7.837)/g1^62 + t^7.876/g1^96 + g1^48*t^8.062 + g1^14*t^8.101 - t^8.141/g1^20 + (4*t^8.18)/g1^54 + (3*t^8.22)/g1^88 + g1^90*t^8.366 + g1^56*t^8.406 - 2*g1^22*t^8.445 - (3*t^8.485)/g1^12 + (7*t^8.524)/g1^46 + (9*t^8.564)/g1^80 + g1^64*t^8.749 - 4*g1^30*t^8.789 - t^8.828/g1^4 + (8*t^8.868)/g1^38 + (13*t^8.907)/g1^72 - t^4.414/(g1^2*y) - (2*t^6.555)/(g1^22*y) - t^6.899/(g1^14*y) + t^7.282/(g1^40*y) + (4*t^7.625)/(g1^32*y) + (3*g1^10*t^7.93)/y + (3*t^7.969)/(g1^24*y) + (4*g1^18*t^8.273)/y + (4*t^8.313)/(g1^16*y) + (g1^26*t^8.617)/y + (2*t^8.656)/(g1^8*y) - t^8.696/(g1^42*y) + (g1^34*t^8.96)/y - (t^4.414*y)/g1^2 - (2*t^6.555*y)/g1^22 - (t^6.899*y)/g1^14 + (t^7.282*y)/g1^40 + (4*t^7.625*y)/g1^32 + 3*g1^10*t^7.93*y + (3*t^7.969*y)/g1^24 + 4*g1^18*t^8.273*y + (4*t^8.313*y)/g1^16 + g1^26*t^8.617*y + (2*t^8.656*y)/g1^8 - (t^8.696*y)/g1^42 + g1^34*t^8.96*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
3539	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.6882	0.8727	0.7886	[M:[0.8571, 1.0476, 1.1429, 0.7619, 0.8571, 0.7619], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]]	2*t^2.286 + 3*t^2.571 + t^2.857 + t^3.143 + t^3.714 + 2*t^4. + 3*t^4.286 + 3*t^4.571 + 6*t^4.857 + 8*t^5.143 + 5*t^5.429 + 2*t^5.714 - 2*t^6. - t^4.429/y - t^4.429*y	detail	{a: 5665/8232, c: 898/1029, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 6/7, M6: 16/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21}
3538	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$	0.7153	0.9241	0.774	[M:[0.8294, 1.0569, 1.1706, 0.7157, 0.8294, 0.7157, 0.699], q:[0.4063, 0.7642], qb:[0.4231, 0.52], phi:[0.4716]]	t^2.097 + 2*t^2.147 + 2*t^2.488 + t^2.779 + t^2.829 + t^3.171 + t^3.562 + t^3.953 + 2*t^4.194 + 3*t^4.244 + 3*t^4.294 + t^4.535 + 2*t^4.585 + 4*t^4.636 + t^4.876 + 3*t^4.926 + 5*t^4.977 + 3*t^5.268 + 4*t^5.318 + t^5.558 + t^5.609 + 3*t^5.659 + t^5.709 - 2*t^6. - t^4.415/y - t^4.415*y	detail
3540	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.7155	0.9254	0.7732	[M:[0.83, 1.0567, 1.17, 0.7167, 0.83, 0.7167, 0.6799], q:[0.4058, 0.7642], qb:[0.4242, 0.5191], phi:[0.4717]]	t^2.04 + 2*t^2.15 + 2*t^2.49 + t^2.775 + t^2.83 + t^3.17 + t^3.565 + t^3.905 + t^4.08 + 3*t^4.19 + t^4.245 + 3*t^4.3 + 3*t^4.53 + 4*t^4.64 + t^4.815 + t^4.87 + 2*t^4.925 + 5*t^4.98 + t^5.21 + 2*t^5.265 + 4*t^5.32 + t^5.55 + 2*t^5.605 + 2*t^5.66 + t^5.715 + t^5.945 - 2*t^6. - t^4.415/y - t^4.415*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
1918	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$	0.6746	0.8467	0.7967	[M:[0.831, 1.0563, 1.169, 0.7183, 0.831], q:[0.4049, 0.7641], qb:[0.426, 0.5176], phi:[0.4718]]	t^2.155 + 2*t^2.493 + t^2.768 + t^2.831 + t^3.169 + t^3.57 + t^3.845 + t^3.908 + t^3.972 + t^4.183 + t^4.246 + t^4.31 + t^4.521 + 2*t^4.648 + t^4.923 + 4*t^4.986 + 2*t^5.261 + 3*t^5.324 + t^5.535 + t^5.599 + 2*t^5.662 - t^6. - t^4.415/y - t^4.415*y	detail