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
58085	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.4453	1.6328	0.8852	[X:[1.3473], M:[0.9163], q:[0.5718, 0.53], qb:[0.4282, 0.5119], phi:[0.3264]]	[X:[[6]], M:[[-36]], q:[[7], [-11]], qb:[[-7], [29]], phi:[[-3]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$	${}$	-1	t^2.75 + t^2.87 + t^2.94 + t^3. + t^3.13 + t^3.85 + t^3.98 + t^4.04 + t^4.1 + t^4.23 + t^4.83 + t^4.96 + 2*t^5.08 + t^5.21 + t^5.33 + t^5.5 + t^5.62 + t^5.69 + t^5.75 + t^5.81 + 3*t^5.87 + t^5.94 - t^6. + 2*t^6.06 + t^6.31 + t^6.6 + t^6.73 + 3*t^6.79 + 3*t^6.85 + 2*t^6.92 + 3*t^6.98 + 3*t^7.04 + t^7.1 + 2*t^7.17 + t^7.29 + t^7.36 + t^7.54 + t^7.58 + 3*t^7.71 + 4*t^7.83 + t^7.9 + 5*t^7.96 + t^8.02 + 5*t^8.08 + t^8.15 + 3*t^8.21 + t^8.25 + t^8.27 + 2*t^8.33 + t^8.37 + t^8.43 + t^8.46 + t^8.5 + t^8.56 + 2*t^8.62 + 2*t^8.69 - t^8.75 + 5*t^8.81 - 2*t^8.87 + 4*t^8.94 + t^8.94/y^2 - t^3.98/y - t^4.96/y - t^6.73/y - t^6.85/y - t^6.92/y - t^6.98/y - t^7.1/y - t^7.71/y - t^7.83/y - t^7.9/y - t^7.96/y - t^8.08/y + t^8.62/y + t^8.69/y + t^8.75/y + (2*t^8.87)/y - t^3.98*y - t^4.96*y - t^6.73*y - t^6.85*y - t^6.92*y - t^6.98*y - t^7.1*y - t^7.71*y - t^7.83*y - t^7.9*y - t^7.96*y - t^8.08*y + t^8.62*y + t^8.69*y + t^8.75*y + 2*t^8.87*y + t^8.94*y^2	t^2.75/g1^36 + t^2.87/g1^18 + t^2.94/g1^9 + t^3. + g1^18*t^3.13 + t^3.85/g1^21 + t^3.98/g1^3 + g1^6*t^4.04 + g1^15*t^4.1 + g1^33*t^4.23 + t^4.83/g1^24 + t^4.96/g1^6 + 2*g1^12*t^5.08 + g1^30*t^5.21 + g1^48*t^5.33 + t^5.5/g1^72 + t^5.62/g1^54 + t^5.69/g1^45 + t^5.75/g1^36 + t^5.81/g1^27 + (3*t^5.87)/g1^18 + t^5.94/g1^9 - t^6. + 2*g1^9*t^6.06 + g1^45*t^6.31 + t^6.6/g1^57 + t^6.73/g1^39 + (3*t^6.79)/g1^30 + (3*t^6.85)/g1^21 + (2*t^6.92)/g1^12 + (3*t^6.98)/g1^3 + 3*g1^6*t^7.04 + g1^15*t^7.1 + 2*g1^24*t^7.17 + g1^42*t^7.29 + g1^51*t^7.36 + g1^78*t^7.54 + t^7.58/g1^60 + (3*t^7.71)/g1^42 + (4*t^7.83)/g1^24 + t^7.9/g1^15 + (5*t^7.96)/g1^6 + g1^3*t^8.02 + 5*g1^12*t^8.08 + g1^21*t^8.15 + 3*g1^30*t^8.21 + t^8.25/g1^108 + g1^39*t^8.27 + 2*g1^48*t^8.33 + t^8.37/g1^90 + t^8.43/g1^81 + g1^66*t^8.46 + t^8.5/g1^72 + t^8.56/g1^63 + (2*t^8.62)/g1^54 + (2*t^8.69)/g1^45 - t^8.75/g1^36 + (5*t^8.81)/g1^27 - (2*t^8.87)/g1^18 + (4*t^8.94)/g1^9 + t^8.94/(g1^9*y^2) - t^3.98/(g1^3*y) - t^4.96/(g1^6*y) - t^6.73/(g1^39*y) - t^6.85/(g1^21*y) - t^6.92/(g1^12*y) - t^6.98/(g1^3*y) - (g1^15*t^7.1)/y - t^7.71/(g1^42*y) - t^7.83/(g1^24*y) - t^7.9/(g1^15*y) - t^7.96/(g1^6*y) - (g1^12*t^8.08)/y + t^8.62/(g1^54*y) + t^8.69/(g1^45*y) + t^8.75/(g1^36*y) + (2*t^8.87)/(g1^18*y) - (t^3.98*y)/g1^3 - (t^4.96*y)/g1^6 - (t^6.73*y)/g1^39 - (t^6.85*y)/g1^21 - (t^6.92*y)/g1^12 - (t^6.98*y)/g1^3 - g1^15*t^7.1*y - (t^7.71*y)/g1^42 - (t^7.83*y)/g1^24 - (t^7.9*y)/g1^15 - (t^7.96*y)/g1^6 - g1^12*t^8.08*y + (t^8.62*y)/g1^54 + (t^8.69*y)/g1^45 + (t^8.75*y)/g1^36 + (2*t^8.87*y)/g1^18 + (t^8.94*y^2)/g1^9

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
60947	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$	1.4497	1.6405	0.8837	[X:[1.3508], M:[0.8955, 0.9477], q:[0.5759, 0.5236], qb:[0.4241, 0.5287], phi:[0.3246]]	t^2.69 + 2*t^2.84 + t^2.92 + t^3. + t^3.82 + t^3.97 + t^4.05 + t^4.13 + t^4.29 + t^4.79 + t^4.95 + 2*t^5.1 + t^5.26 + t^5.37 + t^5.42 + 2*t^5.53 + t^5.61 + 3*t^5.69 + 2*t^5.76 + 3*t^5.84 + t^5.92 - 2*t^6. - t^3.97/y - t^4.95/y - t^3.97*y - t^4.95*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
57332	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$	1.455	1.6425	0.8858	[X:[1.3409], M:[0.9544], q:[0.5169, 0.4941], qb:[0.4831, 0.5287], phi:[0.3295]]	t^2.863 + t^2.932 + t^2.966 + t^3. + t^3.068 + t^3.92 + t^3.989 + t^4.023 + t^4.057 + t^4.126 + t^4.909 + t^4.977 + t^5.046 + t^5.114 + t^5.473 + t^5.504 + t^5.572 + t^5.61 + t^5.726 + t^5.795 + t^5.829 + t^5.863 + t^5.897 + 2*t^5.932 + t^5.966 - 2*t^6. - t^3.989/y - t^4.977/y - t^3.989*y - t^4.977*y	detail