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
58973	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.3783	1.6061	0.8582	[X:[], M:[1.178, 1.1778], q:[0.3998, 0.4001], qb:[0.4221, 0.378], phi:[0.4]]	[X:[], M:[[1, 2], [-2, -1]], q:[[-2, -2], [1, 1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	1	2*t^2.33 + t^2.4 + 4*t^3.53 + t^3.6 + 2*t^3.67 + 3*t^4.67 + 5*t^4.73 + 3*t^4.8 + 3*t^4.87 + 7*t^5.87 + 7*t^5.93 + t^6. + 3*t^6.07 - t^6.13 + 5*t^7. + 18*t^7.07 + 11*t^7.13 + 14*t^7.2 + 3*t^7.27 + 2*t^7.33 + t^7.4 + 10*t^8.2 + 21*t^8.27 + 8*t^8.33 + 10*t^8.4 + 2*t^8.53 - t^4.2/y - t^5.4/y - (2*t^6.53)/y - t^6.6/y + t^7.67/y - (2*t^7.73)/y - t^7.8/y + (5*t^8.87)/y - t^4.2*y - t^5.4*y - 2*t^6.53*y - t^6.6*y + t^7.67*y - 2*t^7.73*y - t^7.8*y + 5*t^8.87*y	t^2.33/(g1^2*g2) + g1*g2^2*t^2.33 + t^2.4 + (2*t^3.53)/(g1^2*g2) + 2*g1*g2^2*t^3.53 + t^3.6 + t^3.67/(g1*g2^2) + g1^2*g2*t^3.67 + t^4.67/(g1^4*g2^2) + (g2*t^4.67)/g1 + g1^2*g2^4*t^4.67 + (2*t^4.73)/(g1^2*g2) + 3*g1*g2^2*t^4.73 + 2*t^4.8 + t^4.8/(g1^3*g2^3) + t^4.87/(g1*g2^2) + 2*g1^2*g2*t^4.87 + (2*t^5.87)/(g1^4*g2^2) + (3*g2*t^5.87)/g1 + 2*g1^2*g2^4*t^5.87 + (3*t^5.93)/(g1^2*g2) + 4*g1*g2^2*t^5.93 + t^6./(g1^3*g2^3) + t^6.07/(g1*g2^2) + 2*g1^2*g2*t^6.07 - (g1*t^6.13)/g2 + t^7./g1^3 + t^7./(g1^6*g2^3) + 2*g2^3*t^7. + g1^3*g2^6*t^7. + (5*t^7.07)/(g1^4*g2^2) + (7*g2*t^7.07)/g1 + 6*g1^2*g2^4*t^7.07 + t^7.13/(g1^5*g2^4) + (4*t^7.13)/(g1^2*g2) + 6*g1*g2^2*t^7.13 + 6*t^7.2 + t^7.2/(g1^6*g2^6) + (4*t^7.2)/(g1^3*g2^3) + 3*g1^3*g2^3*t^7.2 + 3*g1^2*g2*t^7.27 + t^7.33/(g1^2*g2^4) + g1^4*g2^2*t^7.33 + g1^3*t^7.4 + (3*t^8.2)/g1^3 + (2*t^8.2)/(g1^6*g2^3) + 3*g2^3*t^8.2 + 2*g1^3*g2^6*t^8.2 + (5*t^8.27)/(g1^4*g2^2) + (9*g2*t^8.27)/g1 + 7*g1^2*g2^4*t^8.27 + (2*t^8.33)/(g1^5*g2^4) + (3*t^8.33)/(g1^2*g2) + 3*g1*g2^2*t^8.33 + 4*t^8.4 + (3*t^8.4)/(g1^3*g2^3) + 3*g1^3*g2^3*t^8.4 - t^8.47/(g1*g2^2) + g1^2*g2*t^8.47 + t^8.53/(g1^2*g2^4) + g1^4*g2^2*t^8.53 - t^4.2/y - t^5.4/y - t^6.53/(g1^2*g2*y) - (g1*g2^2*t^6.53)/y - t^6.6/y + (g2*t^7.67)/(g1*y) - t^7.73/(g1^2*g2*y) - (g1*g2^2*t^7.73)/y - t^7.8/y + t^8.87/(g1^4*g2^2*y) + (3*g2*t^8.87)/(g1*y) + (g1^2*g2^4*t^8.87)/y - t^4.2*y - t^5.4*y - (t^6.53*y)/(g1^2*g2) - g1*g2^2*t^6.53*y - t^6.6*y + (g2*t^7.67*y)/g1 - (t^7.73*y)/(g1^2*g2) - g1*g2^2*t^7.73*y - t^7.8*y + (t^8.87*y)/(g1^4*g2^2) + (3*g2*t^8.87*y)/g1 + g1^2*g2^4*t^8.87*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
61268	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$	1.3965	1.6401	0.8515	[X:[], M:[1.163, 1.1762, 0.763], q:[0.4088, 0.3956], qb:[0.4282, 0.3674], phi:[0.4]]	2*t^2.29 + t^2.33 + t^2.4 + 2*t^3.49 + 2*t^3.53 + t^3.6 + t^3.67 + 3*t^4.58 + 2*t^4.62 + t^4.66 + 4*t^4.69 + 2*t^4.73 + 2*t^4.8 + t^4.84 + 2*t^4.87 + t^4.91 + 4*t^5.78 + 5*t^5.82 + 2*t^5.86 + 5*t^5.89 + 3*t^5.93 + t^5.96 - t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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
57444	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$	1.3941	1.6328	0.8538	[M:[1.1802], q:[0.412, 0.394], qb:[0.4079, 0.3861], phi:[0.4]]	t^2.34 + t^2.394 + t^2.4 + t^2.406 + 2*t^3.54 + t^3.594 + t^3.6 + t^3.606 + t^3.66 + t^4.681 + t^4.735 + 3*t^4.74 + t^4.746 + t^4.789 + 2*t^4.794 + 3*t^4.8 + 3*t^4.806 + t^4.811 + t^4.854 + t^4.86 + 2*t^5.881 + 2*t^5.935 + 4*t^5.94 + 2*t^5.946 + t^5.989 + 2*t^5.994 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail