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
471	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}^{2}$	0.5615	0.7218	0.7778	[M:[1.1317, 0.7365, 0.7365, 1.0], q:[0.5853, 0.9805], qb:[0.2829, 0.4147], phi:[0.4341]]	[M:[[4], [-8], [-8], [0]], q:[[-5], [7]], qb:[[1], [5]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$	1	t^2.093 + 2*t^2.21 + t^2.605 + 2*t^3. + 2*t^3.395 + 2*t^4.186 + 2*t^4.302 + 3*t^4.419 + 2*t^4.698 + 2*t^4.814 + 2*t^5.093 + 4*t^5.21 + 2*t^5.488 + 4*t^5.605 + t^6. + 2*t^6.278 + 4*t^6.395 + 2*t^6.512 + 4*t^6.629 + 2*t^6.79 + 2*t^6.907 + 3*t^7.024 + 2*t^7.186 + 2*t^7.302 + 6*t^7.419 + 3*t^7.581 + 2*t^7.698 + 6*t^7.814 + 3*t^8.371 + 2*t^8.488 + 3*t^8.605 + 2*t^8.722 + 5*t^8.838 + 2*t^8.883 - t^4.302/y - (2*t^6.512)/y + (2*t^7.302)/y + t^7.419/y + t^7.698/y + (2*t^7.814)/y + (4*t^8.093)/y + (4*t^8.21)/y + (2*t^8.488)/y + (6*t^8.605)/y - (3*t^8.722)/y - t^4.302*y - 2*t^6.512*y + 2*t^7.302*y + t^7.419*y + t^7.698*y + 2*t^7.814*y + 4*t^8.093*y + 4*t^8.21*y + 2*t^8.488*y + 6*t^8.605*y - 3*t^8.722*y	g1^6*t^2.093 + (2*t^2.21)/g1^8 + t^2.605/g1^4 + 2*t^3. + 2*g1^4*t^3.395 + 2*g1^12*t^4.186 + (2*t^4.302)/g1^2 + (3*t^4.419)/g1^16 + 2*g1^2*t^4.698 + (2*t^4.814)/g1^12 + 2*g1^6*t^5.093 + (4*t^5.21)/g1^8 + 2*g1^10*t^5.488 + (4*t^5.605)/g1^4 + t^6. + 2*g1^18*t^6.278 + 4*g1^4*t^6.395 + (2*t^6.512)/g1^10 + (4*t^6.629)/g1^24 + 2*g1^8*t^6.79 + (2*t^6.907)/g1^6 + (3*t^7.024)/g1^20 + 2*g1^12*t^7.186 + (2*t^7.302)/g1^2 + (6*t^7.419)/g1^16 + 3*g1^16*t^7.581 + 2*g1^2*t^7.698 + (6*t^7.814)/g1^12 + 3*g1^24*t^8.371 + 2*g1^10*t^8.488 + (3*t^8.605)/g1^4 + (2*t^8.722)/g1^18 + (5*t^8.838)/g1^32 + 2*g1^14*t^8.883 - t^4.302/(g1^2*y) - (2*t^6.512)/(g1^10*y) + (2*t^7.302)/(g1^2*y) + t^7.419/(g1^16*y) + (g1^2*t^7.698)/y + (2*t^7.814)/(g1^12*y) + (4*g1^6*t^8.093)/y + (4*t^8.21)/(g1^8*y) + (2*g1^10*t^8.488)/y + (6*t^8.605)/(g1^4*y) - (3*t^8.722)/(g1^18*y) - (t^4.302*y)/g1^2 - (2*t^6.512*y)/g1^10 + (2*t^7.302*y)/g1^2 + (t^7.419*y)/g1^16 + g1^2*t^7.698*y + (2*t^7.814*y)/g1^12 + 4*g1^6*t^8.093*y + (4*t^8.21*y)/g1^8 + 2*g1^10*t^8.488*y + (6*t^8.605*y)/g1^4 - (3*t^8.722*y)/g1^18

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
760	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{1}M_{5}$	0.5735	0.7428	0.772	[M:[1.1397, 0.7206, 0.7206, 1.0, 0.8603], q:[0.5754, 0.9945], qb:[0.2849, 0.4246], phi:[0.4302]]	t^2.129 + 2*t^2.162 + 2*t^2.581 + 2*t^3. + t^3.419 + 2*t^4.257 + 2*t^4.29 + 3*t^4.324 + 3*t^4.71 + 4*t^4.743 + 2*t^5.129 + 6*t^5.162 + t^5.548 + 4*t^5.581 + t^6. - t^4.29/y - t^4.29*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
300	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	0.5633	0.7261	0.7758	[M:[1.1313, 0.7766, 0.698, 0.9607], q:[0.5662, 0.9995], qb:[0.3025, 0.3945], phi:[0.4343]]	t^2.091 + t^2.094 + t^2.33 + t^2.606 + 2*t^2.882 + 2*t^3.394 + 2*t^4.182 + t^4.185 + t^4.188 + t^4.421 + t^4.424 + t^4.66 + 2*t^4.697 + t^4.7 + t^4.936 + 2*t^4.973 + 2*t^4.976 + 2*t^5.212 + 2*t^5.485 + 3*t^5.488 + t^5.724 + 3*t^5.764 - 2*t^6. - t^4.303/y - t^4.303*y	detail