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
46690	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6465	0.8487	0.7617	[M:[0.9812, 0.7641, 0.7641, 0.8018], q:[0.7453, 0.2735], qb:[0.4529, 0.4906], phi:[0.5094]]	[M:[[4], [-3], [-3], [-11]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.179 + 3*t^2.292 + t^2.405 + t^2.831 + t^2.944 + t^3.056 + t^3.169 + t^3.821 + t^4.246 + 2*t^4.359 + 4*t^4.472 + 7*t^4.585 + 3*t^4.698 + t^4.811 + t^5.01 + 4*t^5.123 + 5*t^5.236 + 4*t^5.349 + 3*t^5.462 + t^5.575 + t^5.661 + t^5.774 - t^6. + 2*t^6.113 + 2*t^6.226 + t^6.339 + t^6.425 + 3*t^6.538 + 5*t^6.651 + 8*t^6.764 + 12*t^6.877 + 7*t^6.99 + t^7.077 + 3*t^7.103 + 2*t^7.189 + t^7.216 + 5*t^7.302 + 8*t^7.415 + 10*t^7.528 + 10*t^7.641 + 7*t^7.754 + t^7.841 + 3*t^7.867 + 3*t^7.954 + t^7.98 + t^8.066 - 3*t^8.179 - 5*t^8.292 + t^8.405 + 2*t^8.492 + 4*t^8.518 + 3*t^8.605 + 4*t^8.631 + 4*t^8.718 + t^8.744 + 3*t^8.831 + 3*t^8.944 - t^4.528/y - (2*t^6.821)/y - t^6.934/y + (3*t^7.472)/y + (4*t^7.585)/y + (3*t^7.698)/y + t^8.01/y + (5*t^8.123)/y + (7*t^8.236)/y + (5*t^8.349)/y + (4*t^8.462)/y + t^8.575/y + t^8.774/y + t^8.887/y - t^4.528*y - 2*t^6.821*y - t^6.934*y + 3*t^7.472*y + 4*t^7.585*y + 3*t^7.698*y + t^8.01*y + 5*t^8.123*y + 7*t^8.236*y + 5*t^8.349*y + 4*t^8.462*y + t^8.575*y + t^8.774*y + t^8.887*y	g1^5*t^2.179 + (3*t^2.292)/g1^3 + t^2.405/g1^11 + g1^12*t^2.831 + g1^4*t^2.944 + t^3.056/g1^4 + t^3.169/g1^12 + t^3.821/g1^5 + g1^18*t^4.246 + 2*g1^10*t^4.359 + 4*g1^2*t^4.472 + (7*t^4.585)/g1^6 + (3*t^4.698)/g1^14 + t^4.811/g1^22 + g1^17*t^5.01 + 4*g1^9*t^5.123 + 5*g1*t^5.236 + (4*t^5.349)/g1^7 + (3*t^5.462)/g1^15 + t^5.575/g1^23 + g1^24*t^5.661 + g1^16*t^5.774 - t^6. + (2*t^6.113)/g1^8 + (2*t^6.226)/g1^16 + t^6.339/g1^24 + g1^23*t^6.425 + 3*g1^15*t^6.538 + 5*g1^7*t^6.651 + (8*t^6.764)/g1 + (12*t^6.877)/g1^9 + (7*t^6.99)/g1^17 + g1^30*t^7.077 + (3*t^7.103)/g1^25 + 2*g1^22*t^7.189 + t^7.216/g1^33 + 5*g1^14*t^7.302 + 8*g1^6*t^7.415 + (10*t^7.528)/g1^2 + (10*t^7.641)/g1^10 + (7*t^7.754)/g1^18 + g1^29*t^7.841 + (3*t^7.867)/g1^26 + 3*g1^21*t^7.954 + t^7.98/g1^34 + g1^13*t^8.066 - 3*g1^5*t^8.179 - (5*t^8.292)/g1^3 + t^8.405/g1^11 + 2*g1^36*t^8.492 + (4*t^8.518)/g1^19 + 3*g1^28*t^8.605 + (4*t^8.631)/g1^27 + 4*g1^20*t^8.718 + t^8.744/g1^35 + 3*g1^12*t^8.831 + 3*g1^4*t^8.944 - t^4.528/(g1^2*y) - (2*t^6.821)/(g1^5*y) - t^6.934/(g1^13*y) + (3*g1^2*t^7.472)/y + (4*t^7.585)/(g1^6*y) + (3*t^7.698)/(g1^14*y) + (g1^17*t^8.01)/y + (5*g1^9*t^8.123)/y + (7*g1*t^8.236)/y + (5*t^8.349)/(g1^7*y) + (4*t^8.462)/(g1^15*y) + t^8.575/(g1^23*y) + (g1^16*t^8.774)/y + (g1^8*t^8.887)/y - (t^4.528*y)/g1^2 - (2*t^6.821*y)/g1^5 - (t^6.934*y)/g1^13 + 3*g1^2*t^7.472*y + (4*t^7.585*y)/g1^6 + (3*t^7.698*y)/g1^14 + g1^17*t^8.01*y + 5*g1^9*t^8.123*y + 7*g1*t^8.236*y + (5*t^8.349*y)/g1^7 + (4*t^8.462*y)/g1^15 + (t^8.575*y)/g1^23 + g1^16*t^8.774*y + g1^8*t^8.887*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
46981	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$	0.6485	0.852	0.7612	[M:[0.9764, 0.7677, 0.7677, 0.8149, 0.9764], q:[0.7441, 0.2795], qb:[0.441, 0.4882], phi:[0.5118]]	t^2.161 + 3*t^2.303 + t^2.445 + t^2.788 + 2*t^2.929 + t^3.212 + t^3.839 + t^4.181 + 2*t^4.323 + 4*t^4.465 + 7*t^4.606 + 3*t^4.748 + t^4.889 + t^4.949 + 5*t^5.091 + 7*t^5.232 + 2*t^5.374 + 2*t^5.516 + t^5.575 + t^5.657 + 2*t^5.717 + t^5.858 - 2*t^6. - t^4.535/y - t^4.535*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
46200	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	0.6309	0.822	0.7676	[M:[0.9715, 0.7714, 0.7714], q:[0.7429, 0.2857], qb:[0.4287, 0.4857], phi:[0.5143]]	t^2.143 + 3*t^2.314 + t^2.743 + t^2.914 + t^3.086 + t^3.257 + t^3.515 + t^3.857 + t^4.115 + 2*t^4.286 + 4*t^4.457 + 6*t^4.628 + t^4.886 + 4*t^5.057 + 4*t^5.229 + 3*t^5.4 + t^5.487 + 2*t^5.571 + 2*t^5.658 + 3*t^5.829 - t^6. - t^4.543/y - t^4.543*y	detail