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
203	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$	0.7382	0.8885	0.8308	[M:[0.8108, 1.1892, 0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]]	[M:[[0, -2, -2], [0, 2, 2], [1, -4, -2], [-1, 0, -2]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$	${}M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	-4	3*t^2.432 + 4*t^3.568 + 10*t^4.784 + 6*t^4.865 - 4*t^6. + 9*t^7.135 + 15*t^7.216 + 10*t^7.297 + 15*t^8.351 - 14*t^8.432 - t^4.216/y - (3*t^6.649)/y + (3*t^7.784)/y + (3*t^7.865)/y - t^4.216*y - 3*t^6.649*y + 3*t^7.784*y + 3*t^7.865*y	t^2.432/(g1*g3^2) + (g1*t^2.432)/(g2^4*g3^2) + t^2.432/(g2^2*g3^2) + g1*g2^2*t^3.568 + 2*g2^2*g3^2*t^3.568 + (g2^2*g3^4*t^3.568)/g1 + (g1^2*t^4.784)/(g2*g3) + (g1*g2*t^4.784)/g3 + (g2^3*t^4.784)/g3 + (g1*g3*t^4.784)/g2 + 2*g2*g3*t^4.784 + (g2^3*g3*t^4.784)/g1 + (g3^3*t^4.784)/g2 + (g2*g3^3*t^4.784)/g1 + (g2^3*g3^3*t^4.784)/g1^2 + t^4.865/(g1^2*g3^4) + (g1^2*t^4.865)/(g2^8*g3^4) + (g1*t^4.865)/(g2^6*g3^4) + (2*t^4.865)/(g2^4*g3^4) + t^4.865/(g1*g2^2*g3^4) - 2*t^6. - (g1*t^6.)/g3^2 - (g3^2*t^6.)/g1 + g1^2*g2^4*t^7.135 + 2*g1*g2^4*g3^2*t^7.135 + 3*g2^4*g3^4*t^7.135 + (2*g2^4*g3^6*t^7.135)/g1 + (g2^4*g3^8*t^7.135)/g1^2 + (g1^3*t^7.216)/(g2^5*g3^3) + (g1^2*t^7.216)/(g2^3*g3^3) + (g1*t^7.216)/(g2*g3^3) + (g2*t^7.216)/g3^3 + (g2^3*t^7.216)/(g1*g3^3) + (g1^2*t^7.216)/(g2^5*g3) + (g1*t^7.216)/(g2^3*g3) + t^7.216/(g2*g3) + (g2*t^7.216)/(g1*g3) + (g2^3*t^7.216)/(g1^2*g3) + (g1*g3*t^7.216)/g2^5 + (g3*t^7.216)/g2^3 + (g3*t^7.216)/(g1*g2) + (g2*g3*t^7.216)/g1^2 + (g2^3*g3*t^7.216)/g1^3 + t^7.297/(g1^3*g3^6) + (g1^3*t^7.297)/(g2^12*g3^6) + (g1^2*t^7.297)/(g2^10*g3^6) + (2*g1*t^7.297)/(g2^8*g3^6) + (2*t^7.297)/(g2^6*g3^6) + (2*t^7.297)/(g1*g2^4*g3^6) + t^7.297/(g1^2*g2^2*g3^6) + (g1^3*g2*t^8.351)/g3 + (g1^2*g2^3*t^8.351)/g3 + (g1*g2^5*t^8.351)/g3 + g1^2*g2*g3*t^8.351 + g1*g2^3*g3*t^8.351 + g2^5*g3*t^8.351 + g1*g2*g3^3*t^8.351 + g2^3*g3^3*t^8.351 + (g2^5*g3^3*t^8.351)/g1 + g2*g3^5*t^8.351 + (g2^3*g3^5*t^8.351)/g1 + (g2^5*g3^5*t^8.351)/g1^2 + (g2*g3^7*t^8.351)/g1 + (g2^3*g3^7*t^8.351)/g1^2 + (g2^5*g3^7*t^8.351)/g1^3 - t^8.432/g1^2 - t^8.432/g2^4 - t^8.432/(g1*g2^2) - t^8.432/g3^4 - (g1^2*t^8.432)/(g2^4*g3^4) - (g1*t^8.432)/(g2^2*g3^4) - (3*t^8.432)/(g1*g3^2) - (3*g1*t^8.432)/(g2^4*g3^2) - (2*t^8.432)/(g2^2*g3^2) - t^4.216/(g2*g3*y) - (g1*t^6.649)/(g2^5*g3^3*y) - t^6.649/(g2^3*g3^3*y) - t^6.649/(g1*g2*g3^3*y) + (g1*g3*t^7.784)/(g2*y) + (g2*g3*t^7.784)/y + (g2^3*g3*t^7.784)/(g1*y) + (g1*t^7.865)/(g2^6*g3^4*y) + t^7.865/(g2^4*g3^4*y) + t^7.865/(g1*g2^2*g3^4*y) - (t^4.216*y)/(g2*g3) - (g1*t^6.649*y)/(g2^5*g3^3) - (t^6.649*y)/(g2^3*g3^3) - (t^6.649*y)/(g1*g2*g3^3) + (g1*g3*t^7.784*y)/g2 + g2*g3*t^7.784*y + (g2^3*g3*t^7.784*y)/g1 + (g1*t^7.865*y)/(g2^6*g3^4) + (t^7.865*y)/(g2^4*g3^4) + (t^7.865*y)/(g1*g2^2*g3^4)

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
319	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$	0.7036	0.8583	0.8198	[M:[0.9501, 1.0499, 0.8504, 1.0499], q:[0.5748, 0.4751], qb:[0.5748, 0.4751], phi:[0.4751]]	t^2.551 + t^2.85 + 5*t^3.15 + 3*t^4.276 + 4*t^4.575 + 3*t^4.874 + t^5.102 + t^5.401 + 2*t^5.701 - 3*t^6. - t^4.425/y - t^4.425*y	detail
318	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$	0.7184	0.8712	0.8246	[M:[0.891, 1.109, 1.0, 0.7821], q:[0.5, 0.609], qb:[0.5, 0.609], phi:[0.4455]]	t^2.346 + t^2.673 + t^3. + 4*t^3.327 + 3*t^4.337 + 4*t^4.663 + t^4.693 + 3*t^4.99 + t^5.019 + 2*t^5.346 + t^5.673 - 3*t^6. - t^4.337/y - t^4.337*y	detail
320	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.7556	0.9204	0.821	[M:[0.7942, 1.2058, 0.7942, 0.7942, 0.7604], q:[0.586, 0.6198], qb:[0.6198, 0.586], phi:[0.3971]]	t^2.281 + 3*t^2.383 + t^3.516 + 2*t^3.617 + t^4.562 + 3*t^4.664 + 3*t^4.707 + 6*t^4.765 + 4*t^4.809 + 3*t^4.91 + t^5.797 + t^5.899 - 2*t^6. - t^4.191/y - t^4.191*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
124	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	0.7247	0.8687	0.8342	[M:[0.8416, 1.1584, 0.7995], q:[0.6003, 0.5581], qb:[0.6003, 0.5581], phi:[0.4208]]	t^2.398 + t^2.525 + t^3.349 + 4*t^3.475 + 3*t^4.611 + 4*t^4.738 + t^4.797 + 3*t^4.864 + t^4.923 + t^5.05 + t^5.747 + t^5.874 - 4*t^6. - t^4.262/y - t^4.262*y	detail