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
5321	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6224	0.8033	0.7748	[M:[1.0219, 0.6799, 0.9781, 0.7237, 1.2763, 0.8509, 0.8947, 0.8071], q:[0.6382, 0.3399], qb:[0.3837, 0.9364], phi:[0.4254]]	[M:[[14], [-22], [-14], [6], [-6], [-4], [24], [-32]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{6}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$	${}$	-1	t^2.04 + t^2.171 + t^2.421 + 2*t^2.553 + t^2.684 + t^2.934 + t^3.066 + t^3.829 + t^4.079 + t^4.211 + t^4.342 + t^4.461 + 3*t^4.592 + 4*t^4.724 + t^4.843 + t^4.855 + 3*t^4.974 + 6*t^5.105 + 3*t^5.237 + t^5.356 + t^5.368 + 2*t^5.487 + 2*t^5.618 + t^5.75 + t^5.869 - t^6. + t^6.119 + 2*t^6.25 + t^6.382 + t^6.5 + 3*t^6.632 + 4*t^6.763 + t^6.882 + t^6.895 + 4*t^7.014 + 8*t^7.145 + t^7.264 + 7*t^7.276 + 3*t^7.395 + 3*t^7.408 + 7*t^7.527 + t^7.539 + 10*t^7.658 + t^7.777 + 6*t^7.789 + 3*t^7.908 + 3*t^7.921 + t^8.04 + t^8.052 + t^8.158 + 2*t^8.29 + t^8.302 - t^8.421 + t^8.434 + t^8.54 - 5*t^8.553 + 4*t^8.671 - 4*t^8.684 + 4*t^8.803 + t^8.922 - 2*t^8.934 - t^4.276/y - t^6.316/y - t^6.698/y - (2*t^6.829)/y - t^6.96/y + t^7.211/y + t^7.461/y + (4*t^7.592)/y + (5*t^7.724)/y + (2*t^7.855)/y + (3*t^7.974)/y + (4*t^8.105)/y + (4*t^8.237)/y + (3*t^8.487)/y + (3*t^8.618)/y - t^8.737/y + t^8.75/y - t^8.869/y - t^4.276*y - t^6.316*y - t^6.698*y - 2*t^6.829*y - t^6.96*y + t^7.211*y + t^7.461*y + 4*t^7.592*y + 5*t^7.724*y + 2*t^7.855*y + 3*t^7.974*y + 4*t^8.105*y + 4*t^8.237*y + 3*t^8.487*y + 3*t^8.618*y - t^8.737*y + t^8.75*y - t^8.869*y	t^2.04/g1^22 + g1^6*t^2.171 + t^2.421/g1^32 + (2*t^2.553)/g1^4 + g1^24*t^2.684 + t^2.934/g1^14 + g1^14*t^3.066 + t^3.829/g1^6 + t^4.079/g1^44 + t^4.211/g1^16 + g1^12*t^4.342 + t^4.461/g1^54 + (3*t^4.592)/g1^26 + 4*g1^2*t^4.724 + t^4.843/g1^64 + g1^30*t^4.855 + (3*t^4.974)/g1^36 + (6*t^5.105)/g1^8 + 3*g1^20*t^5.237 + t^5.356/g1^46 + g1^48*t^5.368 + (2*t^5.487)/g1^18 + 2*g1^10*t^5.618 + g1^38*t^5.75 + t^5.869/g1^28 - t^6. + t^6.119/g1^66 + (2*t^6.25)/g1^38 + t^6.382/g1^10 + t^6.5/g1^76 + (3*t^6.632)/g1^48 + (4*t^6.763)/g1^20 + t^6.882/g1^86 + g1^8*t^6.895 + (4*t^7.014)/g1^58 + (8*t^7.145)/g1^30 + t^7.264/g1^96 + (7*t^7.276)/g1^2 + (3*t^7.395)/g1^68 + 3*g1^26*t^7.408 + (7*t^7.527)/g1^40 + g1^54*t^7.539 + (10*t^7.658)/g1^12 + t^7.777/g1^78 + 6*g1^16*t^7.789 + (3*t^7.908)/g1^50 + 3*g1^44*t^7.921 + t^8.04/g1^22 + g1^72*t^8.052 + t^8.158/g1^88 + (2*t^8.29)/g1^60 + g1^34*t^8.302 - t^8.421/g1^32 + g1^62*t^8.434 + t^8.54/g1^98 - (5*t^8.553)/g1^4 + (4*t^8.671)/g1^70 - 4*g1^24*t^8.684 + (4*t^8.803)/g1^42 + t^8.922/g1^108 - (2*t^8.934)/g1^14 - t^4.276/(g1^2*y) - t^6.316/(g1^24*y) - t^6.698/(g1^34*y) - (2*t^6.829)/(g1^6*y) - (g1^22*t^6.96)/y + t^7.211/(g1^16*y) + t^7.461/(g1^54*y) + (4*t^7.592)/(g1^26*y) + (5*g1^2*t^7.724)/y + (2*g1^30*t^7.855)/y + (3*t^7.974)/(g1^36*y) + (4*t^8.105)/(g1^8*y) + (4*g1^20*t^8.237)/y + (3*t^8.487)/(g1^18*y) + (3*g1^10*t^8.618)/y - t^8.737/(g1^56*y) + (g1^38*t^8.75)/y - t^8.869/(g1^28*y) - (t^4.276*y)/g1^2 - (t^6.316*y)/g1^24 - (t^6.698*y)/g1^34 - (2*t^6.829*y)/g1^6 - g1^22*t^6.96*y + (t^7.211*y)/g1^16 + (t^7.461*y)/g1^54 + (4*t^7.592*y)/g1^26 + 5*g1^2*t^7.724*y + 2*g1^30*t^7.855*y + (3*t^7.974*y)/g1^36 + (4*t^8.105*y)/g1^8 + 4*g1^20*t^8.237*y + (3*t^8.487*y)/g1^18 + 3*g1^10*t^8.618*y - (t^8.737*y)/g1^56 + g1^38*t^8.75*y - (t^8.869*y)/g1^28

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
6852	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$	0.5947	0.7666	0.7758	[M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.875, 0.75, 1.0], q:[0.6563, 0.4063], qb:[0.2813, 0.9063], phi:[0.4375]]	t^2.063 + t^2.25 + t^2.438 + 2*t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.938 + t^4.125 + t^4.313 + 2*t^4.5 + 4*t^4.688 + 4*t^4.875 + 4*t^5.063 + 6*t^5.25 + 3*t^5.438 + 3*t^5.625 + 2*t^5.813 - t^4.313/y - t^4.313*y	detail	{a: 38973/65536, c: 50237/65536, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 7/8, M7: 3/4, M8: 1, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16}

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
3618	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6079	0.7775	0.7818	[M:[1.0001, 0.7142, 0.9999, 0.7143, 1.2857, 0.8571, 0.8573], q:[0.6428, 0.3571], qb:[0.3572, 0.9286], phi:[0.4286]]	t^2.142 + t^2.143 + 2*t^2.571 + t^2.572 + 2*t^3. + t^3.429 + t^3.857 + 2*t^4.285 + t^4.286 + 6*t^4.714 + t^4.715 + t^5.142 + 8*t^5.143 + t^5.144 + t^5.571 + 5*t^5.572 + 2*t^6. - t^4.286/y - t^4.286*y	detail