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
560	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	0.7011	0.8806	0.7962	[M:[0.6816, 1.1061, 0.8939, 0.6816], q:[0.7765, 0.5419], qb:[0.4581, 0.4358], phi:[0.4469]]	[M:[[-12], [4], [-4], [-12]], q:[[1], [11]], qb:[[-11], [7]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$	${}$	-2	2*t^2.045 + 2*t^2.682 + t^2.933 + t^3. + t^3.637 + t^3.704 + t^4.022 + 4*t^4.089 + t^4.274 + t^4.341 + t^4.592 + 4*t^4.726 + 2*t^4.978 + 2*t^5.045 + 3*t^5.363 + 2*t^5.615 + 3*t^5.682 + t^5.749 + t^5.866 - 2*t^6. + t^6.067 + 6*t^6.134 - t^6.251 + 2*t^6.318 + 3*t^6.385 + t^6.57 + 2*t^6.637 + 2*t^6.704 + 8*t^6.771 + t^6.955 + 4*t^7.022 + 3*t^7.089 + t^7.207 + 2*t^7.274 - t^7.341 + 5*t^7.408 + t^7.525 - t^7.592 + 2*t^7.659 + 6*t^7.726 + 2*t^7.793 + t^7.911 + 2*t^8.112 + 9*t^8.179 + 4*t^8.363 + 4*t^8.43 + 2*t^8.547 + t^8.615 - 2*t^8.682 + 2*t^8.749 + t^8.799 + 12*t^8.816 + t^8.866 - 4*t^8.933 - t^4.341/y - (2*t^6.385)/y - t^7.022/y + t^7.089/y + t^7.659/y + (4*t^7.726)/y + (2*t^7.978)/y + (2*t^8.045)/y + (2*t^8.296)/y + t^8.363/y - (3*t^8.43)/y + (2*t^8.615)/y + (4*t^8.682)/y + (2*t^8.749)/y + t^8.933/y - t^4.341*y - 2*t^6.385*y - t^7.022*y + t^7.089*y + t^7.659*y + 4*t^7.726*y + 2*t^7.978*y + 2*t^8.045*y + 2*t^8.296*y + t^8.363*y - 3*t^8.43*y + 2*t^8.615*y + 4*t^8.682*y + 2*t^8.749*y + t^8.933*y	(2*t^2.045)/g1^12 + (2*t^2.682)/g1^4 + g1^18*t^2.933 + t^3. + g1^8*t^3.637 + t^3.704/g1^10 + t^4.022/g1^6 + (4*t^4.089)/g1^24 + g1^16*t^4.274 + t^4.341/g1^2 + g1^20*t^4.592 + (4*t^4.726)/g1^16 + 2*g1^6*t^4.978 + (2*t^5.045)/g1^12 + (3*t^5.363)/g1^8 + 2*g1^14*t^5.615 + (3*t^5.682)/g1^4 + t^5.749/g1^22 + g1^36*t^5.866 - 2*t^6. + t^6.067/g1^18 + (6*t^6.134)/g1^36 - g1^22*t^6.251 + 2*g1^4*t^6.318 + (3*t^6.385)/g1^14 + g1^26*t^6.57 + 2*g1^8*t^6.637 + (2*t^6.704)/g1^10 + (8*t^6.771)/g1^28 + g1^12*t^6.955 + (4*t^7.022)/g1^6 + (3*t^7.089)/g1^24 + g1^34*t^7.207 + 2*g1^16*t^7.274 - t^7.341/g1^2 + (5*t^7.408)/g1^20 + g1^38*t^7.525 - g1^20*t^7.592 + 2*g1^2*t^7.659 + (6*t^7.726)/g1^16 + (2*t^7.793)/g1^34 + g1^24*t^7.911 + (2*t^8.112)/g1^30 + (9*t^8.179)/g1^48 + (4*t^8.363)/g1^8 + (4*t^8.43)/g1^26 + 2*g1^32*t^8.547 + g1^14*t^8.615 - (2*t^8.682)/g1^4 + (2*t^8.749)/g1^22 + g1^54*t^8.799 + (12*t^8.816)/g1^40 + g1^36*t^8.866 - 4*g1^18*t^8.933 - t^4.341/(g1^2*y) - (2*t^6.385)/(g1^14*y) - t^7.022/(g1^6*y) + t^7.089/(g1^24*y) + (g1^2*t^7.659)/y + (4*t^7.726)/(g1^16*y) + (2*g1^6*t^7.978)/y + (2*t^8.045)/(g1^12*y) + (2*g1^10*t^8.296)/y + t^8.363/(g1^8*y) - (3*t^8.43)/(g1^26*y) + (2*g1^14*t^8.615)/y + (4*t^8.682)/(g1^4*y) + (2*t^8.749)/(g1^22*y) + (g1^18*t^8.933)/y - (t^4.341*y)/g1^2 - (2*t^6.385*y)/g1^14 - (t^7.022*y)/g1^6 + (t^7.089*y)/g1^24 + g1^2*t^7.659*y + (4*t^7.726*y)/g1^16 + 2*g1^6*t^7.978*y + (2*t^8.045*y)/g1^12 + 2*g1^10*t^8.296*y + (t^8.363*y)/g1^8 - (3*t^8.43*y)/g1^26 + 2*g1^14*t^8.615*y + (4*t^8.682*y)/g1^4 + (2*t^8.749*y)/g1^22 + g1^18*t^8.933*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
1881	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6963	0.8725	0.7981	[M:[0.7273, 1.0909, 0.9091, 0.7273], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]]	2*t^2.182 + 3*t^2.727 + t^3. + t^3.545 + t^3.818 + 2*t^4.091 + 6*t^4.364 + 6*t^4.909 + 2*t^5.182 + 6*t^5.455 + 3*t^5.727 - 2*t^6. - t^4.364/y - t^4.364*y	detail	{a: 14829/21296, c: 4645/5324, M1: 8/11, M2: 12/11, M3: 10/11, M4: 8/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11}
1882	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.7185	0.9121	0.7877	[M:[0.6738, 1.1087, 0.8913, 0.6738, 0.7826], q:[0.7772, 0.549], qb:[0.451, 0.4403], phi:[0.4456]]	2*t^2.022 + t^2.348 + 2*t^2.674 + t^2.968 + t^3. + t^3.685 + t^4.011 + 4*t^4.043 + t^4.305 + t^4.337 + 2*t^4.369 + t^4.631 + 5*t^4.695 + 2*t^4.989 + 4*t^5.022 + t^5.315 + 4*t^5.348 + 2*t^5.642 + t^5.674 + t^5.706 + t^5.935 - 2*t^6. - t^4.337/y - t^4.337*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
352	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{3}$	0.6804	0.8399	0.81	[M:[0.6836, 1.1055, 0.8945], q:[0.7764, 0.5401], qb:[0.4599, 0.4346], phi:[0.4473]]	t^2.051 + 2*t^2.684 + t^2.924 + t^3. + t^3.633 + t^3.709 + t^3.949 + t^4.025 + 2*t^4.101 + t^4.266 + t^4.342 + t^4.582 + 2*t^4.734 + t^4.975 + t^5.051 + 3*t^5.367 + 2*t^5.608 + 2*t^5.684 + t^5.848 - t^6. - t^4.342/y - t^4.342*y	detail