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
107	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	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]]	[M:[[-7, -7, 0], [-7, 0, -7], [0, -7, -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
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{2}$	${}$	-9	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^6.39 + 12*t^6.71 + 3*t^6.745 + 10*t^7.065 + 6*t^7.1 + 10*t^7.455 - t^7.74 - 3*t^8.095 - 9*t^8.13 - 21*t^8.485 + t^8.52 + 10*t^8.805 + 6*t^8.84 + 3*t^8.875 - t^4.065/y - t^6.195/y - (3*t^6.55)/y + (3*t^7.58)/y + (3*t^7.615)/y + t^7.935/y + (3*t^7.97)/y - t^8.325/y - (3*t^8.68)/y - t^4.065*y - t^6.195*y - 3*t^6.55*y + 3*t^7.58*y + 3*t^7.615*y + t^7.935*y + 3*t^7.97*y - t^8.325*y - 3*t^8.68*y	t^2.13/(g1^4*g2^4*g3^4) + t^2.485/(g1^7*g2^7) + t^2.485/(g1^7*g3^7) + t^2.485/(g2^7*g3^7) + g1^8*g2*g3*t^4.225 + g1*g2^8*g3*t^4.225 + g1*g2*g3^8*t^4.225 + t^4.26/(g1^8*g2^8*g3^8) + (g1^12*t^4.58)/(g2^2*g3^2) + (g1^5*g2^5*t^4.58)/g3^2 + (g2^12*t^4.58)/(g1^2*g3^2) + (g1^5*g3^5*t^4.58)/g2^2 + (g2^5*g3^5*t^4.58)/g1^2 + (g3^12*t^4.58)/(g1^2*g2^2) + t^4.615/(g1^4*g2^11*g3^11) + t^4.615/(g1^11*g2^4*g3^11) + t^4.615/(g1^11*g2^11*g3^4) + t^4.97/(g1^14*g2^14) + t^4.97/(g1^14*g3^14) + t^4.97/(g2^14*g3^14) + t^4.97/(g1^7*g2^7*g3^14) + t^4.97/(g1^7*g2^14*g3^7) + t^4.97/(g1^14*g2^7*g3^7) - 3*t^6. - (g1^7*t^6.)/g2^7 - (g2^7*t^6.)/g1^7 - (g1^7*t^6.)/g3^7 - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g1^7 - (g3^7*t^6.)/g2^7 + t^6.39/(g1^12*g2^12*g3^12) + (2*g1^8*t^6.71)/(g2^6*g3^6) + (2*g1*g2*t^6.71)/g3^6 + (2*g2^8*t^6.71)/(g1^6*g3^6) + (2*g1*g3*t^6.71)/g2^6 + (2*g2*g3*t^6.71)/g1^6 + (2*g3^8*t^6.71)/(g1^6*g2^6) + t^6.745/(g1^8*g2^15*g3^15) + t^6.745/(g1^15*g2^8*g3^15) + t^6.745/(g1^15*g2^15*g3^8) + (g1^12*t^7.065)/(g2^9*g3^9) + (g1^5*t^7.065)/(g2^2*g3^9) + (g2^5*t^7.065)/(g1^2*g3^9) + (g2^12*t^7.065)/(g1^9*g3^9) + (g1^5*t^7.065)/(g2^9*g3^2) + t^7.065/(g1^2*g2^2*g3^2) + (g2^5*t^7.065)/(g1^9*g3^2) + (g3^5*t^7.065)/(g1^2*g2^9) + (g3^5*t^7.065)/(g1^9*g2^2) + (g3^12*t^7.065)/(g1^9*g2^9) + t^7.1/(g1^4*g2^18*g3^18) + t^7.1/(g1^11*g2^11*g3^18) + t^7.1/(g1^18*g2^4*g3^18) + t^7.1/(g1^11*g2^18*g3^11) + t^7.1/(g1^18*g2^11*g3^11) + t^7.1/(g1^18*g2^18*g3^4) + t^7.455/(g1^21*g2^21) + t^7.455/(g1^21*g3^21) + t^7.455/(g2^21*g3^21) + t^7.455/(g1^7*g2^14*g3^21) + t^7.455/(g1^14*g2^7*g3^21) + t^7.455/(g1^7*g2^21*g3^14) + t^7.455/(g1^14*g2^14*g3^14) + t^7.455/(g1^21*g2^7*g3^14) + t^7.455/(g1^14*g2^21*g3^7) + t^7.455/(g1^21*g2^14*g3^7) - g1^8*g2^8*g3^8*t^7.74 - g1^12*g2^5*g3^5*t^8.095 - g1^5*g2^12*g3^5*t^8.095 - g1^5*g2^5*g3^12*t^8.095 - (g1^3*t^8.13)/(g2^4*g3^11) - (g2^3*t^8.13)/(g1^4*g3^11) - (g1^3*t^8.13)/(g2^11*g3^4) - (3*t^8.13)/(g1^4*g2^4*g3^4) - (g2^3*t^8.13)/(g1^11*g3^4) - (g3^3*t^8.13)/(g1^4*g2^11) - (g3^3*t^8.13)/(g1^11*g2^4) - t^8.485/g1^14 - t^8.485/g2^14 - (4*t^8.485)/(g1^7*g2^7) - t^8.485/g3^14 - (g1^7*t^8.485)/(g2^7*g3^14) - (g2^7*t^8.485)/(g1^7*g3^14) - (4*t^8.485)/(g1^7*g3^7) - (g1^7*t^8.485)/(g2^14*g3^7) - (4*t^8.485)/(g2^7*g3^7) - (g2^7*t^8.485)/(g1^14*g3^7) - (g3^7*t^8.485)/(g1^7*g2^14) - (g3^7*t^8.485)/(g1^14*g2^7) + t^8.52/(g1^16*g2^16*g3^16) + (g1^20*t^8.805)/(g2*g3) + (g1^13*g2^6*t^8.805)/g3 + (g1^6*g2^13*t^8.805)/g3 + (g2^20*t^8.805)/(g1*g3) + (g1^13*g3^6*t^8.805)/g2 + g1^6*g2^6*g3^6*t^8.805 + (g2^13*g3^6*t^8.805)/g1 + (g1^6*g3^13*t^8.805)/g2 + (g2^6*g3^13*t^8.805)/g1 + (g3^20*t^8.805)/(g1*g2) + (g1^4*t^8.84)/(g2^10*g3^10) + t^8.84/(g1^3*g2^3*g3^10) + (g2^4*t^8.84)/(g1^10*g3^10) + t^8.84/(g1^3*g2^10*g3^3) + t^8.84/(g1^10*g2^3*g3^3) + (g3^4*t^8.84)/(g1^10*g2^10) + t^8.875/(g1^12*g2^19*g3^19) + t^8.875/(g1^19*g2^12*g3^19) + t^8.875/(g1^19*g2^19*g3^12) - t^4.065/(g1^2*g2^2*g3^2*y) - t^6.195/(g1^6*g2^6*g3^6*y) - t^6.55/(g1^2*g2^9*g3^9*y) - t^6.55/(g1^9*g2^2*g3^9*y) - t^6.55/(g1^9*g2^9*g3^2*y) + (g1^5*g2^5*t^7.58)/(g3^2*y) + (g1^5*g3^5*t^7.58)/(g2^2*y) + (g2^5*g3^5*t^7.58)/(g1^2*y) + t^7.615/(g1^4*g2^11*g3^11*y) + t^7.615/(g1^11*g2^4*g3^11*y) + t^7.615/(g1^11*g2^11*g3^4*y) + (g1^2*g2^2*g3^2*t^7.935)/y + t^7.97/(g1^7*g2^7*g3^14*y) + t^7.97/(g1^7*g2^14*g3^7*y) + t^7.97/(g1^14*g2^7*g3^7*y) - t^8.325/(g1^10*g2^10*g3^10*y) - t^8.68/(g1^6*g2^13*g3^13*y) - t^8.68/(g1^13*g2^6*g3^13*y) - t^8.68/(g1^13*g2^13*g3^6*y) - (t^4.065*y)/(g1^2*g2^2*g3^2) - (t^6.195*y)/(g1^6*g2^6*g3^6) - (t^6.55*y)/(g1^2*g2^9*g3^9) - (t^6.55*y)/(g1^9*g2^2*g3^9) - (t^6.55*y)/(g1^9*g2^9*g3^2) + (g1^5*g2^5*t^7.58*y)/g3^2 + (g1^5*g3^5*t^7.58*y)/g2^2 + (g2^5*g3^5*t^7.58*y)/g1^2 + (t^7.615*y)/(g1^4*g2^11*g3^11) + (t^7.615*y)/(g1^11*g2^4*g3^11) + (t^7.615*y)/(g1^11*g2^11*g3^4) + g1^2*g2^2*g3^2*t^7.935*y + (t^7.97*y)/(g1^7*g2^7*g3^14) + (t^7.97*y)/(g1^7*g2^14*g3^7) + (t^7.97*y)/(g1^14*g2^7*g3^7) - (t^8.325*y)/(g1^10*g2^10*g3^10) - (t^8.68*y)/(g1^6*g2^13*g3^13) - (t^8.68*y)/(g1^13*g2^6*g3^13) - (t^8.68*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
171	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$	0.6765	0.812	0.8331	[M:[1.0, 0.9097, 1.0], q:[0.7922, 0.5452], qb:[0.4548, 0.5452], phi:[0.4157]]	t^2.494 + t^2.729 + 2*t^3. + t^3.741 + t^3.976 + 2*t^4.012 + 2*t^4.247 + 3*t^4.518 + t^4.988 + t^5.223 + t^5.458 + 2*t^5.494 - 2*t^6. - t^4.247/y - t^4.247*y	detail
172	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$	0.6869	0.8254	0.8322	[M:[1.0, 0.8713, 0.8713], q:[0.8041, 0.5], qb:[0.5, 0.6287], phi:[0.3918]]	t^2.351 + 2*t^2.614 + t^3. + 2*t^3.912 + 3*t^4.175 + t^4.298 + 2*t^4.561 + t^4.702 + t^4.948 + 2*t^4.965 + 3*t^5.228 + t^5.351 - 4*t^6. - t^4.175/y - t^4.175*y	detail
169	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$	0.6496	0.7822	0.8305	[M:[0.9769, 1.1214, 0.9769], q:[0.7803, 0.4393], qb:[0.5838, 0.4393], phi:[0.4393]]	t^2.636 + 2*t^2.931 + t^3.364 + 2*t^3.659 + 3*t^3.954 + t^4.092 + 2*t^4.387 + t^4.821 + t^5.272 + 3*t^5.861 - 4*t^6. - t^4.318/y - t^4.318*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
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]]	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. - t^4.109/y - t^4.109*y	detail