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
46197	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$	0.566	0.7275	0.778	[M:[0.8593, 0.9861, 0.7047, 1.0139], q:[0.7712, 0.7991], qb:[0.2148, 0.4962], phi:[0.4297]]	[M:[[0, -4], [-1, 1], [-1, -7], [1, -1]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 7]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}$	-3	t^2.114 + t^2.133 + 3*t^2.578 + t^2.958 + t^3.042 + t^3.802 + t^4.228 + t^4.247 + 2*t^4.266 + 3*t^4.692 + 4*t^4.711 + t^5.072 + t^5.091 + 6*t^5.156 + t^5.175 + 2*t^5.536 + 2*t^5.62 + 2*t^5.916 + t^5.935 - 3*t^6. + t^6.084 + t^6.343 + t^6.361 + 3*t^6.38 + 2*t^6.399 - t^6.445 - 2*t^6.464 + t^6.761 + 3*t^6.806 + 3*t^6.825 + 4*t^6.844 - t^6.909 + t^7.187 + t^7.205 + t^7.224 + 6*t^7.27 + 6*t^7.289 + t^7.308 + t^7.605 + 2*t^7.65 + t^7.669 - t^7.688 + 9*t^7.734 + t^7.753 + 2*t^8.031 + 2*t^8.049 + 2*t^8.068 - t^8.114 - 6*t^8.133 + 3*t^8.198 + t^8.217 + t^8.457 + t^8.476 + 5*t^8.494 + 3*t^8.513 + 3*t^8.532 - t^8.559 - 11*t^8.578 - 3*t^8.597 + 2*t^8.662 + 2*t^8.875 + t^8.894 + 3*t^8.921 + 3*t^8.939 + t^8.958 + 4*t^8.977 - t^4.289/y - t^6.403/y - (2*t^6.867)/y + t^7.247/y + (3*t^7.692)/y + (5*t^7.711)/y + t^8.072/y + t^8.091/y + (4*t^8.156)/y + (2*t^8.175)/y - t^8.517/y + (3*t^8.536)/y + (3*t^8.62)/y + t^8.916/y + t^8.935/y - (2*t^8.981)/y - t^4.289*y - t^6.403*y - 2*t^6.867*y + t^7.247*y + 3*t^7.692*y + 5*t^7.711*y + t^8.072*y + t^8.091*y + 4*t^8.156*y + 2*t^8.175*y - t^8.517*y + 3*t^8.536*y + 3*t^8.62*y + t^8.916*y + t^8.935*y - 2*t^8.981*y	t^2.114/(g1*g2^7) + g2^6*t^2.133 + (3*t^2.578)/g2^4 + (g2*t^2.958)/g1 + (g1*t^3.042)/g2 + (g2^9*t^3.802)/g1 + t^4.228/(g1^2*g2^14) + t^4.247/(g1*g2) + 2*g2^12*t^4.266 + (3*t^4.692)/(g1*g2^11) + 4*g2^2*t^4.711 + t^5.072/(g1^2*g2^6) + (g2^7*t^5.091)/g1 + (6*t^5.156)/g2^8 + g1*g2^5*t^5.175 + (2*t^5.536)/(g1*g2^3) + (2*g1*t^5.62)/g2^5 + (2*g2^2*t^5.916)/g1^2 + (g2^15*t^5.935)/g1 - 3*t^6. + (g1^2*t^6.084)/g2^2 + t^6.343/(g1^3*g2^21) + t^6.361/(g1^2*g2^8) + (3*g2^5*t^6.38)/g1 + 2*g2^18*t^6.399 - t^6.445/g2^10 - 2*g1*g2^3*t^6.464 + (g2^10*t^6.761)/g1^2 + (3*t^6.806)/(g1^2*g2^18) + (3*t^6.825)/(g1*g2^5) + 4*g2^8*t^6.844 - (g1*t^6.909)/g2^7 + t^7.187/(g1^3*g2^13) + t^7.205/g1^2 + (g2^13*t^7.224)/g1 + (6*t^7.27)/(g1*g2^15) + (6*t^7.289)/g2^2 + g1*g2^11*t^7.308 + (g2^18*t^7.605)/g1^2 + (2*t^7.65)/(g1^2*g2^10) + (g2^3*t^7.669)/g1 - g2^16*t^7.688 + (9*t^7.734)/g2^12 + g1*g2*t^7.753 + (2*t^8.031)/(g1^3*g2^5) + (2*g2^8*t^8.049)/g1^2 + (2*g2^21*t^8.068)/g1 - t^8.114/(g1*g2^7) - 6*g2^6*t^8.133 + (3*g1*t^8.198)/g2^9 + g1^2*g2^4*t^8.217 + t^8.457/(g1^4*g2^28) + t^8.476/(g1^3*g2^15) + (5*t^8.494)/(g1^2*g2^2) + (3*g2^11*t^8.513)/g1 + 3*g2^24*t^8.532 - t^8.559/(g1*g2^17) - (11*t^8.578)/g2^4 - 3*g1*g2^9*t^8.597 + (2*g1^2*t^8.662)/g2^6 + (2*g2^3*t^8.875)/g1^3 + (g2^16*t^8.894)/g1^2 + (3*t^8.921)/(g1^3*g2^25) + (3*t^8.939)/(g1^2*g2^12) + (g2*t^8.958)/g1 + 4*g2^14*t^8.977 - t^4.289/(g2^2*y) - t^6.403/(g1*g2^9*y) - (2*t^6.867)/(g2^6*y) + t^7.247/(g1*g2*y) + (3*t^7.692)/(g1*g2^11*y) + (5*g2^2*t^7.711)/y + t^8.072/(g1^2*g2^6*y) + (g2^7*t^8.091)/(g1*y) + (4*t^8.156)/(g2^8*y) + (2*g1*g2^5*t^8.175)/y - t^8.517/(g1^2*g2^16*y) + (3*t^8.536)/(g1*g2^3*y) + (3*g1*t^8.62)/(g2^5*y) + (g2^2*t^8.916)/(g1^2*y) + (g2^15*t^8.935)/(g1*y) - (2*t^8.981)/(g1*g2^13*y) - (t^4.289*y)/g2^2 - (t^6.403*y)/(g1*g2^9) - (2*t^6.867*y)/g2^6 + (t^7.247*y)/(g1*g2) + (3*t^7.692*y)/(g1*g2^11) + 5*g2^2*t^7.711*y + (t^8.072*y)/(g1^2*g2^6) + (g2^7*t^8.091*y)/g1 + (4*t^8.156*y)/g2^8 + 2*g1*g2^5*t^8.175*y - (t^8.517*y)/(g1^2*g2^16) + (3*t^8.536*y)/(g1*g2^3) + (3*g1*t^8.62*y)/g2^5 + (g2^2*t^8.916*y)/g1^2 + (g2^15*t^8.935*y)/g1 - (2*t^8.981*y)/(g1*g2^13)

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
46642	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$	0.5452	0.6976	0.7815	[M:[0.8786, 1.1214, 0.8786, 0.8786], q:[0.9017, 0.659], qb:[0.2197, 0.4624], phi:[0.4393]]	t^2.046 + 5*t^2.636 + t^3.364 + 3*t^4.093 + 6*t^4.682 + 13*t^5.272 + t^5.41 - 2*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
45978	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6895	0.8749	0.7881	[M:[0.6959, 0.6857, 0.6931, 0.6986], q:[0.8196, 0.8325], qb:[0.4818, 0.4744], phi:[0.3479]]	t^2.057 + t^2.079 + 2*t^2.088 + t^2.096 + t^2.869 + t^3.882 + t^3.89 + t^3.935 + t^4.114 + t^4.136 + 2*t^4.145 + t^4.153 + t^4.159 + 2*t^4.167 + 4*t^4.175 + 2*t^4.183 + t^4.191 + t^4.926 + t^4.948 + 3*t^4.956 + t^4.964 + t^5.737 + t^5.939 + t^5.947 + t^5.961 + 2*t^5.969 + 2*t^5.978 + t^5.986 - 3*t^6. - t^4.044/y - t^4.044*y	detail