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
643	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$	0.6515	0.8349	0.7802	[M:[1.2178, 1.1089, 0.6732, 0.7822, 0.7822], q:[0.75, 0.4232], qb:[0.3589, 0.4678], phi:[0.5]]	[M:[[2], [1], [-3], [-2], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	${}M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$	0	t^2.02 + 2*t^2.346 + t^2.48 + t^3. + 2*t^3.327 + t^3.52 + t^3.654 + t^3.846 + 2*t^4.039 + t^4.173 + t^4.307 + 2*t^4.366 + t^4.5 + 3*t^4.693 + 2*t^4.827 + t^4.961 + t^5.02 + 4*t^5.346 + t^5.48 + t^5.539 + 4*t^5.673 + t^5.807 + 2*t^5.866 + 2*t^6.059 + 2*t^6.193 + t^6.327 + 4*t^6.386 + 3*t^6.52 + 4*t^6.654 + 3*t^6.713 + t^6.787 + 3*t^6.846 + t^6.98 + 6*t^7.039 + 3*t^7.173 + t^7.307 + 5*t^7.366 + t^7.441 + 2*t^7.559 + 7*t^7.693 + t^7.827 + 3*t^7.886 + t^7.961 + 3*t^8.02 + 3*t^8.079 + 4*t^8.213 + t^8.287 + 4*t^8.406 - t^8.48 + 4*t^8.539 + t^8.614 + 2*t^8.673 + 6*t^8.732 + 5*t^8.866 - t^4.5/y - t^6.52/y - t^6.846/y + t^7.173/y + (2*t^7.366)/y + t^7.5/y + t^7.693/y + t^7.827/y + t^8.02/y + t^8.154/y + (4*t^8.346)/y + (2*t^8.48)/y + (5*t^8.673)/y + (2*t^8.807)/y + (2*t^8.866)/y - t^4.5*y - t^6.52*y - t^6.846*y + t^7.173*y + 2*t^7.366*y + t^7.5*y + t^7.693*y + t^7.827*y + t^8.02*y + t^8.154*y + 4*t^8.346*y + 2*t^8.48*y + 5*t^8.673*y + 2*t^8.807*y + 2*t^8.866*y	t^2.02/g1^3 + (2*t^2.346)/g1^2 + g1^3*t^2.48 + t^3. + 2*g1*t^3.327 + t^3.52/g1^3 + g1^2*t^3.654 + t^3.846/g1^2 + (2*t^4.039)/g1^6 + t^4.173/g1 + g1^4*t^4.307 + (2*t^4.366)/g1^5 + t^4.5 + (3*t^4.693)/g1^4 + 2*g1*t^4.827 + g1^6*t^4.961 + t^5.02/g1^3 + (4*t^5.346)/g1^2 + g1^3*t^5.48 + t^5.539/g1^6 + (4*t^5.673)/g1 + g1^4*t^5.807 + (2*t^5.866)/g1^5 + (2*t^6.059)/g1^9 + (2*t^6.193)/g1^4 + g1*t^6.327 + (4*t^6.386)/g1^8 + (3*t^6.52)/g1^3 + 4*g1^2*t^6.654 + (3*t^6.713)/g1^7 + g1^7*t^6.787 + (3*t^6.846)/g1^2 + g1^3*t^6.98 + (6*t^7.039)/g1^6 + (3*t^7.173)/g1 + g1^4*t^7.307 + (5*t^7.366)/g1^5 + g1^9*t^7.441 + (2*t^7.559)/g1^9 + (7*t^7.693)/g1^4 + g1*t^7.827 + (3*t^7.886)/g1^8 + g1^6*t^7.961 + (3*t^8.02)/g1^3 + (3*t^8.079)/g1^12 + (4*t^8.213)/g1^7 + g1^7*t^8.287 + (4*t^8.406)/g1^11 - g1^3*t^8.48 + (4*t^8.539)/g1^6 + g1^8*t^8.614 + (2*t^8.673)/g1 + (6*t^8.732)/g1^10 + (5*t^8.866)/g1^5 - t^4.5/y - t^6.52/(g1^3*y) - t^6.846/(g1^2*y) + t^7.173/(g1*y) + (2*t^7.366)/(g1^5*y) + t^7.5/y + t^7.693/(g1^4*y) + (g1*t^7.827)/y + t^8.02/(g1^3*y) + (g1^2*t^8.154)/y + (4*t^8.346)/(g1^2*y) + (2*g1^3*t^8.48)/y + (5*t^8.673)/(g1*y) + (2*g1^4*t^8.807)/y + (2*t^8.866)/(g1^5*y) - t^4.5*y - (t^6.52*y)/g1^3 - (t^6.846*y)/g1^2 + (t^7.173*y)/g1 + (2*t^7.366*y)/g1^5 + t^7.5*y + (t^7.693*y)/g1^4 + g1*t^7.827*y + (t^8.02*y)/g1^3 + g1^2*t^8.154*y + (4*t^8.346*y)/g1^2 + 2*g1^3*t^8.48*y + (5*t^8.673*y)/g1 + 2*g1^4*t^8.807*y + (2*t^8.866*y)/g1^5

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
1968	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}q_{1}q_{2}$	0.641	0.818	0.7835	[M:[1.1667, 1.0833, 0.75, 0.8333, 0.8333], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]]	2*t^2.25 + 2*t^2.5 + t^3. + 2*t^3.25 + t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 4*t^4.75 + 3*t^5. + 2*t^5.25 + 5*t^5.5 + 4*t^5.75 + t^6. - t^4.5/y - t^4.5*y	detail	{a: 1969/3072, c: 2513/3072, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 5/6, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2}
1969	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$	0.6668	0.8608	0.7747	[M:[1.2063, 1.1031, 0.6906, 0.7937, 0.7937, 0.8094], q:[0.75, 0.4406], qb:[0.3531, 0.4563], phi:[0.5]]	t^2.072 + 2*t^2.381 + 2*t^2.428 + t^3. + 2*t^3.309 + t^3.619 + t^3.881 + 2*t^4.143 + t^4.191 + t^4.238 + 2*t^4.453 + 2*t^4.5 + 3*t^4.762 + 4*t^4.809 + 3*t^4.857 + t^5.072 + 4*t^5.381 + 2*t^5.428 + 4*t^5.691 + 3*t^5.738 - t^6. - t^4.5/y - t^4.5*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
398	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$	0.6341	0.8036	0.7891	[M:[1.211, 1.1055, 0.6835, 0.789], q:[0.75, 0.4335], qb:[0.3555, 0.461], phi:[0.5]]	t^2.05 + t^2.367 + t^2.45 + t^3. + 2*t^3.317 + t^3.55 + 2*t^3.633 + t^3.867 + 2*t^4.101 + t^4.183 + t^4.266 + t^4.417 + t^4.5 + t^4.734 + t^4.817 + t^4.899 + t^5.05 + 3*t^5.367 + t^5.45 + t^5.601 + 3*t^5.683 + t^5.766 + t^5.917 - t^4.5/y - t^4.5*y	detail