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
385	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{4}$	0.5673	0.6974	0.8134	[X:[1.4495], M:[0.9358, 0.5505, 1.0642, 0.9358], q:[0.7982, 0.7982], qb:[0.2661, 0.5229], phi:[0.4037]]	[X:[[28]], M:[[-4], [-28], [4], [-4]], q:[[3], [3]], qb:[[1], [17]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	${}M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	0	t^2.367 + t^2.422 + 2*t^2.807 + t^3.193 + t^3.578 + 2*t^3.963 + t^4.348 + t^4.734 + 2*t^4.789 + t^4.844 + 2*t^5.174 + t^5.23 + t^5.559 + 2*t^5.615 + t^5.945 + 2*t^6.33 + 2*t^6.385 - t^6.441 + t^6.715 + 3*t^6.77 - 2*t^6.826 + t^7.1 + 4*t^7.156 + t^7.266 + 3*t^7.541 + t^7.652 + 4*t^7.926 + 3*t^8.311 - t^8.367 + 3*t^8.697 + 2*t^8.752 - 3*t^8.807 - t^4.211/y - t^6.633/y - t^7.018/y + t^7.404/y + (2*t^7.789)/y + (2*t^8.174)/y + (2*t^8.23)/y + t^8.559/y + (2*t^8.615)/y + t^8.945/y - t^4.211*y - t^6.633*y - t^7.018*y + t^7.404*y + 2*t^7.789*y + 2*t^8.174*y + 2*t^8.23*y + t^8.559*y + 2*t^8.615*y + t^8.945*y	g1^18*t^2.367 + t^2.422/g1^12 + (2*t^2.807)/g1^4 + g1^4*t^3.193 + g1^12*t^3.578 + 2*g1^20*t^3.963 + g1^28*t^4.348 + g1^36*t^4.734 + 2*g1^6*t^4.789 + t^4.844/g1^24 + 2*g1^14*t^5.174 + t^5.23/g1^16 + g1^22*t^5.559 + (2*t^5.615)/g1^8 + g1^30*t^5.945 + 2*g1^38*t^6.33 + 2*g1^8*t^6.385 - t^6.441/g1^22 + g1^46*t^6.715 + 3*g1^16*t^6.77 - (2*t^6.826)/g1^14 + g1^54*t^7.1 + 4*g1^24*t^7.156 + t^7.266/g1^36 + 3*g1^32*t^7.541 + t^7.652/g1^28 + 4*g1^40*t^7.926 + 3*g1^48*t^8.311 - g1^18*t^8.367 + 3*g1^56*t^8.697 + 2*g1^26*t^8.752 - (3*t^8.807)/g1^4 - t^4.211/(g1^6*y) - t^6.633/(g1^18*y) - t^7.018/(g1^10*y) + t^7.404/(g1^2*y) + (2*g1^6*t^7.789)/y + (2*g1^14*t^8.174)/y + (2*t^8.23)/(g1^16*y) + (g1^22*t^8.559)/y + (2*t^8.615)/(g1^8*y) + (g1^30*t^8.945)/y - (t^4.211*y)/g1^6 - (t^6.633*y)/g1^18 - (t^7.018*y)/g1^10 + (t^7.404*y)/g1^2 + 2*g1^6*t^7.789*y + 2*g1^14*t^8.174*y + (2*t^8.23*y)/g1^16 + g1^22*t^8.559*y + (2*t^8.615*y)/g1^8 + g1^30*t^8.945*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
628	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.5838	0.7249	0.8053	[X:[1.4828], M:[0.931, 0.5172, 1.069, 0.931, 0.7931], q:[0.8017, 0.8017], qb:[0.2672, 0.5431], phi:[0.3965]]	2*t^2.379 + t^2.431 + 2*t^2.793 + t^3.207 + 2*t^4.035 + t^4.448 + 3*t^4.759 + 3*t^4.81 + t^4.862 + 3*t^5.172 + 2*t^5.224 + 3*t^5.586 + t^5.638 - t^6. - t^4.19/y - t^4.19*y	detail
627	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.5733	0.7067	0.8113	[X:[1.4667], M:[0.9333, 0.5333, 1.0667, 0.9333, 0.9333], q:[0.8, 0.8], qb:[0.2667, 0.5333], phi:[0.4]]	2*t^2.4 + 3*t^2.8 + t^3.6 + 2*t^4. + t^4.4 + 4*t^4.8 + 5*t^5.2 + 4*t^5.6 - t^6. - t^4.2/y - t^4.2*y	detail	{a: 43/75, c: 53/75, X1: 22/15, M1: 14/15, M2: 8/15, M3: 16/15, M4: 14/15, M5: 14/15, q1: 4/5, q2: 4/5, qb1: 4/15, qb2: 8/15, phi1: 2/5}
629	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	0.5672	0.6963	0.8145	[X:[1.4667], M:[0.9333, 0.5333, 1.0667, 0.9333], q:[0.8, 0.8], qb:[0.2667, 0.5333], phi:[0.4]]	2*t^2.4 + 2*t^2.8 + t^3.2 + t^3.6 + 2*t^4. + t^4.4 + 4*t^4.8 + 3*t^5.2 + 3*t^5.6 + t^6. - t^4.2/y - t^4.2*y	detail	{a: 3403/6000, c: 2089/3000, X1: 22/15, M1: 14/15, M2: 8/15, M3: 16/15, M4: 14/15, q1: 4/5, q2: 4/5, qb1: 4/15, qb2: 8/15, phi1: 2/5}

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
241	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$	0.5614	0.6887	0.8152	[X:[1.4324], M:[0.9382, 0.5676, 1.0618], q:[0.7963, 0.7963], qb:[0.2654, 0.5125], phi:[0.4073]]	t^2.334 + t^2.444 + t^2.815 + 2*t^3.185 + t^3.556 + 2*t^3.927 + t^4.297 + t^4.668 + 2*t^4.778 + t^4.888 + t^5.149 + 2*t^5.519 + t^5.629 + t^5.89 - t^4.222/y - t^4.222*y	detail