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
530	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$	0.8092	1.0197	0.7935	[M:[0.7518, 0.7518, 0.7518, 0.7518, 0.7518, 0.7518], q:[0.6241, 0.6241], qb:[0.6241, 0.6241], phi:[0.3759]]	[M:[[0, -2, -2], [1, -4, -2], [-1, 0, -2], [-1, -2, 0], [1, -2, -4], [0, -2, -2]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$	${}$	-16	7*t^2.255 + 28*t^4.511 + 10*t^4.872 - 16*t^6. + 84*t^6.766 + 55*t^7.128 - t^7.489 - 102*t^8.255 - 25*t^8.617 - t^4.128/y - (7*t^6.383)/y + (21*t^7.511)/y + (7*t^7.872)/y - (28*t^8.638)/y - t^4.128*y - 7*t^6.383*y + 21*t^7.511*y + 7*t^7.872*y - 28*t^8.638*y	t^2.255/(g1*g2^2) + (g1*t^2.255)/(g2^2*g3^4) + t^2.255/(g1*g3^2) + (g1*t^2.255)/(g2^4*g3^2) + (3*t^2.255)/(g2^2*g3^2) + t^4.511/(g1^2*g2^4) + (g1^2*t^4.511)/(g2^4*g3^8) + (g1^2*t^4.511)/(g2^6*g3^6) + (3*g1*t^4.511)/(g2^4*g3^6) + t^4.511/(g2^2*g3^6) + t^4.511/(g1^2*g3^4) + (g1^2*t^4.511)/(g2^8*g3^4) + (3*g1*t^4.511)/(g2^6*g3^4) + (8*t^4.511)/(g2^4*g3^4) + (3*t^4.511)/(g1*g2^2*g3^4) + t^4.511/(g2^6*g3^2) + (3*t^4.511)/(g1*g2^4*g3^2) + t^4.511/(g1^2*g2^2*g3^2) + (g1^2*t^4.872)/(g2*g3) + (g1*g2*t^4.872)/g3 + (g2^3*t^4.872)/g3 + (g1*g3*t^4.872)/g2 + 2*g2*g3*t^4.872 + (g2^3*g3*t^4.872)/g1 + (g3^3*t^4.872)/g2 + (g2*g3^3*t^4.872)/g1 + (g2^3*g3^3*t^4.872)/g1^2 - 4*t^6. - (2*g1*t^6.)/g2^2 - (2*g2^2*t^6.)/g1 - (2*g1*t^6.)/g3^2 - (g1^2*t^6.)/(g2^2*g3^2) - (g2^2*t^6.)/g3^2 - (2*g3^2*t^6.)/g1 - (g3^2*t^6.)/g2^2 - (g2^2*g3^2*t^6.)/g1^2 + t^6.766/(g1^3*g2^6) + (g1^3*t^6.766)/(g2^6*g3^12) + (g1^3*t^6.766)/(g2^8*g3^10) + (3*g1^2*t^6.766)/(g2^6*g3^10) + (g1*t^6.766)/(g2^4*g3^10) + (g1^3*t^6.766)/(g2^10*g3^8) + (3*g1^2*t^6.766)/(g2^8*g3^8) + (8*g1*t^6.766)/(g2^6*g3^8) + (3*t^6.766)/(g2^4*g3^8) + t^6.766/(g1*g2^2*g3^8) + t^6.766/(g1^3*g3^6) + (g1^3*t^6.766)/(g2^12*g3^6) + (3*g1^2*t^6.766)/(g2^10*g3^6) + (8*g1*t^6.766)/(g2^8*g3^6) + (16*t^6.766)/(g2^6*g3^6) + (8*t^6.766)/(g1*g2^4*g3^6) + (3*t^6.766)/(g1^2*g2^2*g3^6) + (g1*t^6.766)/(g2^10*g3^4) + (3*t^6.766)/(g2^8*g3^4) + (8*t^6.766)/(g1*g2^6*g3^4) + (3*t^6.766)/(g1^2*g2^4*g3^4) + t^6.766/(g1^3*g2^2*g3^4) + t^6.766/(g1*g2^8*g3^2) + (3*t^6.766)/(g1^2*g2^6*g3^2) + t^6.766/(g1^3*g2^4*g3^2) + (g1^3*t^7.128)/(g2^3*g3^5) + (g1^2*t^7.128)/(g2*g3^5) + (g1*g2*t^7.128)/g3^5 + (g1^3*t^7.128)/(g2^5*g3^3) + (4*g1^2*t^7.128)/(g2^3*g3^3) + (5*g1*t^7.128)/(g2*g3^3) + (4*g2*t^7.128)/g3^3 + (g2^3*t^7.128)/(g1*g3^3) + (g1^2*t^7.128)/(g2^5*g3) + (5*g1*t^7.128)/(g2^3*g3) + (7*t^7.128)/(g2*g3) + (5*g2*t^7.128)/(g1*g3) + (g2^3*t^7.128)/(g1^2*g3) + (g1*g3*t^7.128)/g2^5 + (4*g3*t^7.128)/g2^3 + (5*g3*t^7.128)/(g1*g2) + (4*g2*g3*t^7.128)/g1^2 + (g2^3*g3*t^7.128)/g1^3 + (g3^3*t^7.128)/(g1*g2^3) + (g3^3*t^7.128)/(g1^2*g2) + (g2*g3^3*t^7.128)/g1^3 - g2^4*g3^4*t^7.489 - (6*t^8.255)/g1^2 - (g1*t^8.255)/g2^6 - (6*t^8.255)/g2^4 - (11*t^8.255)/(g1*g2^2) - (g2^2*t^8.255)/g1^3 - (g1*t^8.255)/g3^6 - (g1^3*t^8.255)/(g2^4*g3^6) - (2*g1^2*t^8.255)/(g2^2*g3^6) - (6*t^8.255)/g3^4 - (g1^3*t^8.255)/(g2^6*g3^4) - (6*g1^2*t^8.255)/(g2^4*g3^4) - (11*g1*t^8.255)/(g2^2*g3^4) - (g2^2*t^8.255)/(g1*g3^4) - (11*t^8.255)/(g1*g3^2) - (2*g1^2*t^8.255)/(g2^6*g3^2) - (11*g1*t^8.255)/(g2^4*g3^2) - (18*t^8.255)/(g2^2*g3^2) - (2*g2^2*t^8.255)/(g1^2*g3^2) - (g3^2*t^8.255)/g1^3 - (g3^2*t^8.255)/(g1*g2^4) - (2*g3^2*t^8.255)/(g1^2*g2^2) - 2*g1^2*g2*g3*t^8.617 - 3*g1*g2^3*g3*t^8.617 - 2*g2^5*g3*t^8.617 - 3*g1*g2*g3^3*t^8.617 - 5*g2^3*g3^3*t^8.617 - (3*g2^5*g3^3*t^8.617)/g1 - 2*g2*g3^5*t^8.617 - (3*g2^3*g3^5*t^8.617)/g1 - (2*g2^5*g3^5*t^8.617)/g1^2 - t^4.128/(g2*g3*y) - (g1*t^6.383)/(g2^3*g3^5*y) - (g1*t^6.383)/(g2^5*g3^3*y) - (3*t^6.383)/(g2^3*g3^3*y) - t^6.383/(g1*g2*g3^3*y) - t^6.383/(g1*g2^3*g3*y) + (g1^2*t^7.511)/(g2^6*g3^6*y) + (3*g1*t^7.511)/(g2^4*g3^6*y) + t^7.511/(g2^2*g3^6*y) + (3*g1*t^7.511)/(g2^6*g3^4*y) + (5*t^7.511)/(g2^4*g3^4*y) + (3*t^7.511)/(g1*g2^2*g3^4*y) + t^7.511/(g2^6*g3^2*y) + (3*t^7.511)/(g1*g2^4*g3^2*y) + t^7.511/(g1^2*g2^2*g3^2*y) + (g1*g2*t^7.872)/(g3*y) + (g1*g3*t^7.872)/(g2*y) + (3*g2*g3*t^7.872)/y + (g2^3*g3*t^7.872)/(g1*y) + (g2*g3^3*t^7.872)/(g1*y) - (g1^2*t^8.638)/(g2^5*g3^9*y) - (g1^2*t^8.638)/(g2^7*g3^7*y) - (3*g1*t^8.638)/(g2^5*g3^7*y) - t^8.638/(g2^3*g3^7*y) - (g1^2*t^8.638)/(g2^9*g3^5*y) - (3*g1*t^8.638)/(g2^7*g3^5*y) - (8*t^8.638)/(g2^5*g3^5*y) - (3*t^8.638)/(g1*g2^3*g3^5*y) - t^8.638/(g1^2*g2*g3^5*y) - t^8.638/(g2^7*g3^3*y) - (3*t^8.638)/(g1*g2^5*g3^3*y) - t^8.638/(g1^2*g2^3*g3^3*y) - t^8.638/(g1^2*g2^5*g3*y) - (t^4.128*y)/(g2*g3) - (g1*t^6.383*y)/(g2^3*g3^5) - (g1*t^6.383*y)/(g2^5*g3^3) - (3*t^6.383*y)/(g2^3*g3^3) - (t^6.383*y)/(g1*g2*g3^3) - (t^6.383*y)/(g1*g2^3*g3) + (g1^2*t^7.511*y)/(g2^6*g3^6) + (3*g1*t^7.511*y)/(g2^4*g3^6) + (t^7.511*y)/(g2^2*g3^6) + (3*g1*t^7.511*y)/(g2^6*g3^4) + (5*t^7.511*y)/(g2^4*g3^4) + (3*t^7.511*y)/(g1*g2^2*g3^4) + (t^7.511*y)/(g2^6*g3^2) + (3*t^7.511*y)/(g1*g2^4*g3^2) + (t^7.511*y)/(g1^2*g2^2*g3^2) + (g1*g2*t^7.872*y)/g3 + (g1*g3*t^7.872*y)/g2 + 3*g2*g3*t^7.872*y + (g2^3*g3*t^7.872*y)/g1 + (g2*g3^3*t^7.872*y)/g1 - (g1^2*t^8.638*y)/(g2^5*g3^9) - (g1^2*t^8.638*y)/(g2^7*g3^7) - (3*g1*t^8.638*y)/(g2^5*g3^7) - (t^8.638*y)/(g2^3*g3^7) - (g1^2*t^8.638*y)/(g2^9*g3^5) - (3*g1*t^8.638*y)/(g2^7*g3^5) - (8*t^8.638*y)/(g2^5*g3^5) - (3*t^8.638*y)/(g1*g2^3*g3^5) - (t^8.638*y)/(g1^2*g2*g3^5) - (t^8.638*y)/(g2^7*g3^3) - (3*t^8.638*y)/(g1*g2^5*g3^3) - (t^8.638*y)/(g1^2*g2^3*g3^3) - (t^8.638*y)/(g1^2*g2^5*g3)

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
827	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$	0.791	0.9858	0.8024	[M:[0.7646, 0.7921, 0.7371, 0.7646, 0.7646, 0.7646, 1.2079], q:[0.604, 0.6314], qb:[0.604, 0.6314], phi:[0.3823]]	t^2.211 + 5*t^2.294 + t^3.624 + t^4.423 + 5*t^4.505 + 15*t^4.588 + 3*t^4.771 + 4*t^4.853 + 3*t^4.936 + t^5.835 + t^5.918 - 8*t^6. - t^4.147/y - t^4.147*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
336	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.7904	0.9838	0.8034	[M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]]	6*t^2.286 + t^3.714 + 21*t^4.571 + 10*t^4.857 - 10*t^6. - t^4.143/y - t^4.143*y	detail	{a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21}