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
3687	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6205	0.8101	0.766	[M:[0.9556, 1.1332, 0.6998, 0.8668, 1.1332, 0.7887], q:[0.7389, 0.3055], qb:[0.4724, 0.3943], phi:[0.5222]]	[M:[[-4], [12], [18], [-12], [12], [26]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}$	-2	2*t^2.1 + t^2.334 + t^2.366 + t^2.867 + t^3.133 + 3*t^3.4 + t^3.666 + t^3.933 + t^4.167 + 3*t^4.199 + t^4.401 + 2*t^4.433 + 2*t^4.465 + t^4.668 + t^4.7 + t^4.732 + 2*t^4.966 + t^5.201 + 3*t^5.233 + t^5.467 + 6*t^5.499 + 2*t^5.734 + 4*t^5.766 - 2*t^6. + 3*t^6.032 - t^6.234 + 3*t^6.266 + 5*t^6.299 + t^6.501 + 6*t^6.533 + 3*t^6.565 + t^6.735 + t^6.767 + 7*t^6.799 + 2*t^6.831 + t^7.002 - t^7.034 + 6*t^7.066 + t^7.098 - t^7.3 + 7*t^7.332 + t^7.535 + t^7.567 + 11*t^7.599 + t^7.801 + 2*t^7.833 + 8*t^7.865 - 2*t^8.1 + 7*t^8.132 - 3*t^8.334 + 2*t^8.366 + 8*t^8.398 + 9*t^8.632 + 5*t^8.665 + t^8.803 + t^8.835 - 2*t^8.867 + 13*t^8.899 + 3*t^8.931 - t^4.567/y - t^6.666/y - t^6.933/y + t^7.167/y + t^7.199/y + (2*t^7.433)/y + (2*t^7.465)/y + t^7.7/y + t^7.966/y + (2*t^8.201)/y + (3*t^8.233)/y + (2*t^8.467)/y + (7*t^8.499)/y + (3*t^8.734)/y + (4*t^8.766)/y - t^4.567*y - t^6.666*y - t^6.933*y + t^7.167*y + t^7.199*y + 2*t^7.433*y + 2*t^7.465*y + t^7.7*y + t^7.966*y + 2*t^8.201*y + 3*t^8.233*y + 2*t^8.467*y + 7*t^8.499*y + 3*t^8.734*y + 4*t^8.766*y	2*g1^18*t^2.1 + t^2.334/g1^20 + g1^26*t^2.366 + t^2.867/g1^4 + g1^4*t^3.133 + 3*g1^12*t^3.4 + g1^20*t^3.666 + g1^28*t^3.933 + t^4.167/g1^10 + 3*g1^36*t^4.199 + t^4.401/g1^48 + (2*t^4.433)/g1^2 + 2*g1^44*t^4.465 + t^4.668/g1^40 + g1^6*t^4.7 + g1^52*t^4.732 + 2*g1^14*t^4.966 + t^5.201/g1^24 + 3*g1^22*t^5.233 + t^5.467/g1^16 + 6*g1^30*t^5.499 + (2*t^5.734)/g1^8 + 4*g1^38*t^5.766 - 2*t^6. + 3*g1^46*t^6.032 - t^6.234/g1^38 + 3*g1^8*t^6.266 + 5*g1^54*t^6.299 + t^6.501/g1^30 + 6*g1^16*t^6.533 + 3*g1^62*t^6.565 + t^6.735/g1^68 + t^6.767/g1^22 + 7*g1^24*t^6.799 + 2*g1^70*t^6.831 + t^7.002/g1^60 - t^7.034/g1^14 + 6*g1^32*t^7.066 + g1^78*t^7.098 - t^7.3/g1^6 + 7*g1^40*t^7.332 + t^7.535/g1^44 + g1^2*t^7.567 + 11*g1^48*t^7.599 + t^7.801/g1^36 + 2*g1^10*t^7.833 + 8*g1^56*t^7.865 - 2*g1^18*t^8.1 + 7*g1^64*t^8.132 - (3*t^8.334)/g1^20 + 2*g1^26*t^8.366 + 8*g1^72*t^8.398 + 9*g1^34*t^8.632 + 5*g1^80*t^8.665 + t^8.803/g1^96 + t^8.835/g1^50 - (2*t^8.867)/g1^4 + 13*g1^42*t^8.899 + 3*g1^88*t^8.931 - (g1^2*t^4.567)/y - (g1^20*t^6.666)/y - (g1^28*t^6.933)/y + t^7.167/(g1^10*y) + (g1^36*t^7.199)/y + (2*t^7.433)/(g1^2*y) + (2*g1^44*t^7.465)/y + (g1^6*t^7.7)/y + (g1^14*t^7.966)/y + (2*t^8.201)/(g1^24*y) + (3*g1^22*t^8.233)/y + (2*t^8.467)/(g1^16*y) + (7*g1^30*t^8.499)/y + (3*t^8.734)/(g1^8*y) + (4*g1^38*t^8.766)/y - g1^2*t^4.567*y - g1^20*t^6.666*y - g1^28*t^6.933*y + (t^7.167*y)/g1^10 + g1^36*t^7.199*y + (2*t^7.433*y)/g1^2 + 2*g1^44*t^7.465*y + g1^6*t^7.7*y + g1^14*t^7.966*y + (2*t^8.201*y)/g1^24 + 3*g1^22*t^8.233*y + (2*t^8.467*y)/g1^16 + 7*g1^30*t^8.499*y + (3*t^8.734*y)/g1^8 + 4*g1^38*t^8.766*y

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
3960	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$	0.6412	0.8501	0.7543	[M:[0.955, 1.135, 0.7025, 0.865, 1.135, 0.7925, 0.685], q:[0.7388, 0.3062], qb:[0.4688, 0.3962], phi:[0.5225]]	t^2.055 + 2*t^2.107 + t^2.325 + t^2.377 + t^2.865 + t^3.135 + 3*t^3.405 + t^3.675 + t^4.11 + 3*t^4.163 + 3*t^4.215 + 2*t^4.38 + 3*t^4.433 + 2*t^4.485 + t^4.65 + t^4.702 + t^4.755 + t^4.92 + 2*t^4.972 + 2*t^5.19 + 3*t^5.242 + 4*t^5.46 + 6*t^5.512 + 3*t^5.73 + 4*t^5.782 - 2*t^6. - t^4.567/y - t^4.567*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
3266	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$	0.604	0.7795	0.7748	[M:[0.9521, 1.1437, 0.7155, 0.8563, 1.1437], q:[0.738, 0.3099], qb:[0.4507, 0.4056], phi:[0.5239]]	2*t^2.147 + t^2.282 + t^2.856 + t^3.144 + 3*t^3.431 + t^3.566 + t^3.718 + t^4.006 + t^4.141 + t^4.276 + 3*t^4.293 + 2*t^4.428 + t^4.563 + 2*t^5.003 + t^5.138 + 2*t^5.29 + t^5.425 + 5*t^5.578 + 4*t^5.713 + t^5.848 + t^5.865 - 2*t^6. - t^4.572/y - t^4.572*y	detail