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
69	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$	0.6924	0.8273	0.837	[M:[0.8454, 0.8454], q:[0.8152, 0.6031], qb:[0.5515, 0.5515], phi:[0.3697]]	[M:[[-7, -7, 0], [-7, 0, -7]], q:[[1, 1, 1], [7, 0, 0]], qb:[[0, 7, 0], [0, 0, 7]], phi:[[-2, -2, -2]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-5	t^2.218 + 2*t^2.536 + t^3.309 + 2*t^4.1 + t^4.255 + 3*t^4.418 + t^4.436 + 2*t^4.573 + t^4.728 + 2*t^4.754 + 3*t^5.072 + t^5.527 - 5*t^6. - 2*t^6.155 + t^6.618 + 6*t^6.636 + t^6.654 + 2*t^6.791 + t^6.946 + 4*t^6.954 + 2*t^6.972 + 3*t^7.291 + 2*t^7.409 + 4*t^7.609 + 3*t^7.727 + t^7.745 - 5*t^8.218 - 2*t^8.373 + 4*t^8.518 - 8*t^8.536 + 3*t^8.673 - t^8.691 + 2*t^8.828 + 6*t^8.836 + 3*t^8.854 + t^8.872 + t^8.982 + 2*t^8.991 - t^4.109/y - t^6.327/y - (2*t^6.645)/y + (2*t^7.573)/y + (2*t^7.754)/y + t^7.891/y + t^8.072/y + t^8.527/y - t^8.545/y + (2*t^8.845)/y - (2*t^8.863)/y - t^4.109*y - t^6.327*y - 2*t^6.645*y + 2*t^7.573*y + 2*t^7.754*y + t^7.891*y + t^8.072*y + t^8.527*y - t^8.545*y + 2*t^8.845*y - 2*t^8.863*y	t^2.218/(g1^4*g2^4*g3^4) + t^2.536/(g1^7*g2^7) + t^2.536/(g1^7*g3^7) + g2^7*g3^7*t^3.309 + g1*g2^8*g3*t^4.1 + g1*g2*g3^8*t^4.1 + g1^8*g2*g3*t^4.255 + (g2^12*t^4.418)/(g1^2*g3^2) + (g2^5*g3^5*t^4.418)/g1^2 + (g3^12*t^4.418)/(g1^2*g2^2) + t^4.436/(g1^8*g2^8*g3^8) + (g1^5*g2^5*t^4.573)/g3^2 + (g1^5*g3^5*t^4.573)/g2^2 + (g1^12*t^4.728)/(g2^2*g3^2) + t^4.754/(g1^11*g2^4*g3^11) + t^4.754/(g1^11*g2^11*g3^4) + t^5.072/(g1^14*g2^14) + t^5.072/(g1^14*g3^14) + t^5.072/(g1^14*g2^7*g3^7) + (g2^3*g3^3*t^5.527)/g1^4 - 3*t^6. - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g2^7 - (g1^7*t^6.155)/g2^7 - (g1^7*t^6.155)/g3^7 + g2^14*g3^14*t^6.618 + (2*g2^8*t^6.636)/(g1^6*g3^6) + (2*g2*g3*t^6.636)/g1^6 + (2*g3^8*t^6.636)/(g1^6*g2^6) + t^6.654/(g1^12*g2^12*g3^12) + (g1*g2*t^6.791)/g3^6 + (g1*g3*t^6.791)/g2^6 + (g1^8*t^6.946)/(g2^6*g3^6) + (g2^12*t^6.954)/(g1^9*g3^9) + (g2^5*t^6.954)/(g1^9*g3^2) + (g3^5*t^6.954)/(g1^9*g2^2) + (g3^12*t^6.954)/(g1^9*g2^9) + t^6.972/(g1^15*g2^8*g3^15) + t^6.972/(g1^15*g2^15*g3^8) + t^7.291/(g1^18*g2^4*g3^18) + t^7.291/(g1^18*g2^11*g3^11) + t^7.291/(g1^18*g2^18*g3^4) + g1*g2^15*g3^8*t^7.409 + g1*g2^8*g3^15*t^7.409 + t^7.609/(g1^21*g2^21) + t^7.609/(g1^21*g3^21) + t^7.609/(g1^21*g2^7*g3^14) + t^7.609/(g1^21*g2^14*g3^7) + (g2^19*g3^5*t^7.727)/g1^2 + (g2^12*g3^12*t^7.727)/g1^2 + (g2^5*g3^19*t^7.727)/g1^2 + t^7.745/(g1^8*g2*g3) - (g2^3*t^8.218)/(g1^4*g3^11) - (3*t^8.218)/(g1^4*g2^4*g3^4) - (g3^3*t^8.218)/(g1^4*g2^11) - (g1^3*t^8.373)/(g2^4*g3^11) - (g1^3*t^8.373)/(g2^11*g3^4) + (g2^20*t^8.518)/(g1*g3) + (g2^13*g3^6*t^8.518)/g1 + (g2^6*g3^13*t^8.518)/g1 + (g3^20*t^8.518)/(g1*g2) - (3*t^8.536)/(g1^7*g2^7) - (g2^7*t^8.536)/(g1^7*g3^14) - (3*t^8.536)/(g1^7*g3^7) - (g3^7*t^8.536)/(g1^7*g2^14) + (g1^6*g2^13*t^8.673)/g3 + g1^6*g2^6*g3^6*t^8.673 + (g1^6*g3^13*t^8.673)/g2 - t^8.691/(g2^7*g3^7) + (g1^13*g2^6*t^8.828)/g3 + (g1^13*g3^6*t^8.828)/g2 + (g2^24*t^8.836)/(g1^4*g3^4) + (g2^17*g3^3*t^8.836)/g1^4 + (2*g2^10*g3^10*t^8.836)/g1^4 + (g2^3*g3^17*t^8.836)/g1^4 + (g3^24*t^8.836)/(g1^4*g2^4) + (g2^4*t^8.854)/(g1^10*g3^10) + t^8.854/(g1^10*g2^3*g3^3) + (g3^4*t^8.854)/(g1^10*g2^10) + t^8.872/(g1^16*g2^16*g3^16) + (g1^20*t^8.982)/(g2*g3) + (g1^3*g2^17*t^8.991)/g3^4 + (g1^3*g3^17*t^8.991)/g2^4 - t^4.109/(g1^2*g2^2*g3^2*y) - t^6.327/(g1^6*g2^6*g3^6*y) - t^6.645/(g1^9*g2^2*g3^9*y) - t^6.645/(g1^9*g2^9*g3^2*y) + (g1^5*g2^5*t^7.573)/(g3^2*y) + (g1^5*g3^5*t^7.573)/(g2^2*y) + t^7.754/(g1^11*g2^4*g3^11*y) + t^7.754/(g1^11*g2^11*g3^4*y) + (g1^2*g2^2*g3^2*t^7.891)/y + t^8.072/(g1^14*g2^7*g3^7*y) + (g2^3*g3^3*t^8.527)/(g1^4*y) - t^8.545/(g1^10*g2^10*g3^10*y) + (g2^7*t^8.845)/(g1^7*y) + (g3^7*t^8.845)/(g1^7*y) - t^8.863/(g1^13*g2^6*g3^13*y) - t^8.863/(g1^13*g2^13*g3^6*y) - (t^4.109*y)/(g1^2*g2^2*g3^2) - (t^6.327*y)/(g1^6*g2^6*g3^6) - (t^6.645*y)/(g1^9*g2^2*g3^9) - (t^6.645*y)/(g1^9*g2^9*g3^2) + (g1^5*g2^5*t^7.573*y)/g3^2 + (g1^5*g3^5*t^7.573*y)/g2^2 + (t^7.754*y)/(g1^11*g2^4*g3^11) + (t^7.754*y)/(g1^11*g2^11*g3^4) + g1^2*g2^2*g3^2*t^7.891*y + (t^8.072*y)/(g1^14*g2^7*g3^7) + (g2^3*g3^3*t^8.527*y)/g1^4 - (t^8.545*y)/(g1^10*g2^10*g3^10) + (g2^7*t^8.845*y)/g1^7 + (g3^7*t^8.845*y)/g1^7 - (t^8.863*y)/(g1^13*g2^6*g3^13) - (t^8.863*y)/(g1^13*g2^13*g3^6)

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
107	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	0.7047	0.8479	0.8312	[M:[0.8283, 0.8283, 0.8283], q:[0.8225, 0.5858], qb:[0.5858, 0.5858], phi:[0.355]]	t^2.13 + 3*t^2.485 + 3*t^4.225 + t^4.26 + 6*t^4.58 + 3*t^4.615 + 6*t^4.97 - 9*t^6. - t^4.065/y - t^4.065*y	detail
104	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	0.4925	0.5698	0.8643	[X:[1.5254], M:[0.7119, 0.7119], q:[0.8813, 0.4067], qb:[0.8813, 0.8813], phi:[0.2373]]	2*t^2.136 + t^3.152 + t^3.864 + 3*t^4.272 + t^4.576 + 2*t^5.288 - 2*t^6. - t^3.712/y - (2*t^5.848)/y - t^3.712*y - 2*t^5.848*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
1668	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$	0.6817	0.8108	0.8408	[M:[0.8681], q:[0.8067, 0.5659], qb:[0.5659, 0.515], phi:[0.3866]]	t^2.32 + t^2.604 + 2*t^3.243 + t^3.965 + 2*t^4.118 + t^4.25 + 2*t^4.403 + 3*t^4.555 + t^4.639 + t^4.924 + t^5.209 + 2*t^5.562 - 5*t^6. - t^4.16/y - t^4.16*y	detail