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
194	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$	0.5429	0.6874	0.7898	[M:[1.1258, 0.7766, 0.9719], q:[0.5787, 0.9842], qb:[0.2955, 0.3932], phi:[0.4371]]	[M:[[2, 2], [1, -5], [-5, 1]], q:[[-5, -2], [6, 3]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.066 + t^2.33 + t^2.623 + 2*t^2.916 + 2*t^3.377 + t^3.839 + 2*t^4.132 + t^4.396 + t^4.659 + 2*t^4.689 + t^4.952 + 2*t^4.982 + 2*t^5.245 + 2*t^5.443 + t^5.538 + t^5.707 + 3*t^5.831 + t^5.905 - 2*t^6. + t^6.169 + 2*t^6.198 + 2*t^6.293 + t^6.462 - t^6.557 + t^6.725 + 4*t^6.755 - t^6.85 + t^6.989 + t^7.018 + 3*t^7.048 + t^7.216 + t^7.282 + 3*t^7.509 + 2*t^7.575 + t^7.604 + t^7.678 - t^7.773 + t^7.868 + 3*t^7.897 + 2*t^7.971 + t^8.037 - 3*t^8.066 + 2*t^8.161 + t^8.235 + 3*t^8.264 - 3*t^8.33 + t^8.359 + t^8.454 + t^8.498 + t^8.528 - 2*t^8.623 + 4*t^8.747 + t^8.791 + 4*t^8.821 - t^8.886 - 7*t^8.916 - t^4.311/y - t^6.641/y - t^7.227/y + (2*t^7.396)/y + t^7.689/y + t^7.952/y + (3*t^7.982)/y + (2*t^8.245)/y + (2*t^8.443)/y + (2*t^8.538)/y + (2*t^8.707)/y + t^8.831/y + t^8.905/y - t^8.971/y - t^4.311*y - t^6.641*y - t^7.227*y + 2*t^7.396*y + t^7.689*y + t^7.952*y + 3*t^7.982*y + 2*t^8.245*y + 2*t^8.443*y + 2*t^8.538*y + 2*t^8.707*y + t^8.831*y + t^8.905*y - t^8.971*y	g1^3*g2^3*t^2.066 + (g1*t^2.33)/g2^5 + t^2.623/(g1^2*g2^2) + (2*g2*t^2.916)/g1^5 + 2*g1^2*g2^2*t^3.377 + g1^9*g2^3*t^3.839 + 2*g1^6*g2^6*t^4.132 + (g1^4*t^4.396)/g2^2 + (g1^2*t^4.659)/g2^10 + 2*g1*g2*t^4.689 + t^4.952/(g1*g2^7) + (2*g2^4*t^4.982)/g1^2 + (2*t^5.245)/(g1^4*g2^4) + 2*g1^5*g2^5*t^5.443 + t^5.538/(g1^7*g2) + (g1^3*t^5.707)/g2^3 + (3*g2^2*t^5.831)/g1^10 + g1^12*g2^6*t^5.905 - 2*t^6. + (g1^10*t^6.169)/g2^2 + 2*g1^9*g2^9*t^6.198 + (2*g2^3*t^6.293)/g1^3 + g1^7*g2*t^6.462 - t^6.557/(g1^5*g2^5) + (g1^5*t^6.725)/g2^7 + 4*g1^4*g2^4*t^6.755 - t^6.85/(g1^8*g2^2) + (g1^3*t^6.989)/g2^15 + (g1^2*t^7.018)/g2^4 + 3*g1*g2^7*t^7.048 + g1^11*g2^5*t^7.216 + t^7.282/g2^12 + 3*g1^8*g2^8*t^7.509 + (2*t^7.575)/(g1^3*g2^9) + (g2^2*t^7.604)/g1^4 + g1^18*g2^6*t^7.678 - g1^6*t^7.773 + t^7.868/(g1^6*g2^6) + (3*g2^5*t^7.897)/g1^7 + 2*g1^15*g2^9*t^7.971 + (g1^4*t^8.037)/g2^8 - 3*g1^3*g2^3*t^8.066 + (2*t^8.161)/(g1^9*g2^3) + g1^13*g2*t^8.235 + 3*g1^12*g2^12*t^8.264 - (3*g1*t^8.33)/g2^5 + g2^6*t^8.359 + t^8.454/g1^12 + (g1^11*t^8.498)/g2^7 + g1^10*g2^4*t^8.528 - (2*t^8.623)/(g1^2*g2^2) + (4*g2^3*t^8.747)/g1^15 + (g1^8*t^8.791)/g2^4 + 4*g1^7*g2^7*t^8.821 - t^8.886/(g1^4*g2^10) - (7*g2*t^8.916)/g1^5 - t^4.311/(g1*g2*y) - t^6.641/(g2^6*y) - t^7.227/(g1^6*y) + (2*g1^4*t^7.396)/(g2^2*y) + (g1*g2*t^7.689)/y + t^7.952/(g1*g2^7*y) + (3*g2^4*t^7.982)/(g1^2*y) + (2*t^8.245)/(g1^4*g2^4*y) + (2*g1^5*g2^5*t^8.443)/y + (2*t^8.538)/(g1^7*g2*y) + (2*g1^3*t^8.707)/(g2^3*y) + (g2^2*t^8.831)/(g1^10*y) + (g1^12*g2^6*t^8.905)/y - (g1*t^8.971)/(g2^11*y) - (t^4.311*y)/(g1*g2) - (t^6.641*y)/g2^6 - (t^7.227*y)/g1^6 + (2*g1^4*t^7.396*y)/g2^2 + g1*g2*t^7.689*y + (t^7.952*y)/(g1*g2^7) + (3*g2^4*t^7.982*y)/g1^2 + (2*t^8.245*y)/(g1^4*g2^4) + 2*g1^5*g2^5*t^8.443*y + (2*t^8.538*y)/(g1^7*g2) + (2*g1^3*t^8.707*y)/g2^3 + (g2^2*t^8.831*y)/g1^10 + g1^12*g2^6*t^8.905*y - (g1*t^8.971*y)/g2^11

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
1730	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	0.5427	0.6866	0.7905	[M:[1.1322, 0.7727, 0.9628], q:[0.5661, 1.0], qb:[0.3017, 0.3967], phi:[0.4339]]	t^2.095 + t^2.318 + t^2.603 + 2*t^2.888 + 2*t^3.397 + t^3.905 + 2*t^4.19 + t^4.413 + t^4.636 + 2*t^4.698 + t^4.922 + 2*t^4.983 + 2*t^5.207 + 3*t^5.492 + t^5.715 + 3*t^5.777 - t^6. - t^4.302/y - t^4.302*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
120	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$	0.669	0.8353	0.8009	[M:[0.6881, 0.7026, 0.6965], q:[0.835, 0.8152], qb:[0.4769, 0.4738], phi:[0.3498]]	t^2.064 + t^2.089 + t^2.099 + t^2.108 + t^2.852 + t^3.867 + t^3.876 + t^3.901 + t^3.926 + t^4.129 + t^4.154 + t^4.163 + t^4.172 + t^4.179 + t^4.188 + 2*t^4.197 + t^4.206 + t^4.216 + t^4.916 + t^4.941 + 2*t^4.951 + t^4.96 + t^5.704 + t^5.931 + t^5.941 + t^5.956 + 2*t^5.966 + t^5.975 + t^5.984 + t^5.991 - 2*t^6. - t^4.049/y - t^4.049*y	detail