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 =

Search for theories with rational R-charges and central 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
55659	SU2adj1nf3	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.8544	1.0423	0.8198	[M:[0.8556], q:[0.7139, 0.7139, 0.5695], qb:[0.5722, 0.5722, 0.5695], phi:[0.5722]]	[M:[[0, -2, -2, 0]], q:[[-1, -1, -1, 0], [1, 0, 0, 0], [0, -5, -5, -1]], qb:[[0, 2, 0, 0], [0, 0, 2, 0], [0, 0, 0, 1]], phi:[[0, 1, 1, 0]]]	4

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{3}\tilde{q}_{3}$, ${ }q_{3}\tilde{q}_{1}$, ${ }q_{3}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{3}$, ${ }\tilde{q}_{2}\tilde{q}_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{3}$, ${ }q_{2}q_{3}$, ${ }q_{2}\tilde{q}_{3}$, ${ }q_{1}\tilde{q}_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{3}\tilde{q}_{3}$, ${ }\phi_{1}q_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{3}^{2}$, ${ }\phi_{1}q_{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{3}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{3}$, ${ }\phi_{1}\tilde{q}_{2}\tilde{q}_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{3}\tilde{q}_{3}$	${}$	-8	t^2.567 + t^3.417 + 4*t^3.425 + t^3.433 + 4*t^3.85 + 4*t^3.858 + t^4.283 + 4*t^5.134 + 4*t^5.142 + 3*t^5.15 + t^5.984 - 8*t^6. - 4*t^6.008 + 4*t^6.417 - 4*t^6.433 + t^6.834 + 4*t^6.842 + 11*t^6.85 + 4*t^6.858 + t^6.866 + 4*t^7.267 + 16*t^7.275 + 12*t^7.283 + 11*t^7.7 + 12*t^7.708 + 2*t^7.717 - 4*t^7.725 + 4*t^8.55 + 12*t^8.559 + 8*t^8.567 + 12*t^8.575 + 6*t^8.583 + 12*t^8.984 + 12*t^8.992 - t^4.717/y + t^8.984/y + (4*t^8.992)/y - t^4.717*y + t^8.984*y + 4*t^8.992*y	t^2.567/(g2^2*g3^2) + t^3.417/(g2^5*g3^5) + t^3.425/(g2^3*g3^5*g4) + t^3.425/(g2^5*g3^3*g4) + g2^2*g4*t^3.425 + g3^2*g4*t^3.425 + g2^2*g3^2*t^3.433 + t^3.85/(g1*g2^6*g3^6*g4) + (g1*t^3.85)/(g2^5*g3^5*g4) + g1*g4*t^3.85 + (g4*t^3.85)/(g1*g2*g3) + g1*g2^2*t^3.858 + (g2*t^3.858)/(g1*g3) + (g3*t^3.858)/(g1*g2) + g1*g3^2*t^3.858 + t^4.283/(g2*g3) + (2*t^5.134)/(g2^4*g3^4) + t^5.134/(g2^9*g3^9*g4^2) + g2*g3*g4^2*t^5.134 + t^5.142/(g2^2*g3^4*g4) + t^5.142/(g2^4*g3^2*g4) + g2^3*g3*g4*t^5.142 + g2*g3^3*g4*t^5.142 + g2^5*g3*t^5.15 + g2^3*g3^3*t^5.15 + g2*g3^5*t^5.15 + t^5.984/(g2^7*g3^7) - 4*t^6. - (g2^2*t^6.)/g3^2 - (g3^2*t^6.)/g2^2 - t^6./(g2^5*g3^5*g4^2) - g2^5*g3^5*g4^2*t^6. - (g2^2*t^6.008)/g4 - (g3^2*t^6.008)/g4 - g2^7*g3^5*g4*t^6.008 - g2^5*g3^7*g4*t^6.008 + t^6.417/(g1*g2^8*g3^8*g4) + (g1*t^6.417)/(g2^7*g3^7*g4) + (g4*t^6.417)/(g1*g2^3*g3^3) + (g1*g4*t^6.417)/(g2^2*g3^2) - (g1*t^6.433)/g4 - t^6.433/(g1*g2*g3*g4) - (g2^4*g3^4*g4*t^6.433)/g1 - g1*g2^5*g3^5*g4*t^6.433 + t^6.834/(g2^10*g3^10) + t^6.842/(g2^8*g3^10*g4) + t^6.842/(g2^10*g3^8*g4) + (g4*t^6.842)/(g2^3*g3^5) + (g4*t^6.842)/(g2^5*g3^3) + t^6.85/(g2*g3^5) + (3*t^6.85)/(g2^3*g3^3) + t^6.85/(g2^5*g3) + t^6.85/(g2^6*g3^10*g4^2) + t^6.85/(g2^8*g3^8*g4^2) + t^6.85/(g2^10*g3^6*g4^2) + g2^4*g4^2*t^6.85 + g2^2*g3^2*g4^2*t^6.85 + g3^4*g4^2*t^6.85 + t^6.858/(g2*g3^3*g4) + t^6.858/(g2^3*g3*g4) + g2^4*g3^2*g4*t^6.858 + g2^2*g3^4*g4*t^6.858 + g2^4*g3^4*t^6.866 + t^7.267/(g1*g2^11*g3^11*g4) + (g1*t^7.267)/(g2^10*g3^10*g4) + (g4*t^7.267)/(g1*g2^6*g3^6) + (g1*g4*t^7.267)/(g2^5*g3^5) + (2*t^7.275)/(g1*g2^4*g3^6) + (2*g1*t^7.275)/(g2^3*g3^5) + (2*t^7.275)/(g1*g2^6*g3^4) + (2*g1*t^7.275)/(g2^5*g3^3) + t^7.275/(g1*g2^9*g3^11*g4^2) + (g1*t^7.275)/(g2^8*g3^10*g4^2) + t^7.275/(g1*g2^11*g3^9*g4^2) + (g1*t^7.275)/(g2^10*g3^8*g4^2) + g1*g2^2*g4^2*t^7.275 + (g2*g4^2*t^7.275)/(g1*g3) + (g3*g4^2*t^7.275)/(g1*g2) + g1*g3^2*g4^2*t^7.275 + t^7.283/(g1*g2^2*g3^6*g4) + (g1*t^7.283)/(g2*g3^5*g4) + t^7.283/(g1*g2^4*g3^4*g4) + (g1*t^7.283)/(g2^3*g3^3*g4) + t^7.283/(g1*g2^6*g3^2*g4) + (g1*t^7.283)/(g2^5*g3*g4) + g1*g2^4*g4*t^7.283 + (g2^3*g4*t^7.283)/(g1*g3) + (g2*g3*g4*t^7.283)/g1 + g1*g2^2*g3^2*g4*t^7.283 + (g3^3*g4*t^7.283)/(g1*g2) + g1*g3^4*g4*t^7.283 + t^7.7/(g1^2*g2^7*g3^7) + (3*t^7.7)/(g2^6*g3^6) + (g1^2*t^7.7)/(g2^5*g3^5) + t^7.7/(g1^2*g2^12*g3^12*g4^2) + t^7.7/(g2^11*g3^11*g4^2) + (g1^2*t^7.7)/(g2^10*g3^10*g4^2) + g1^2*g4^2*t^7.7 + (g4^2*t^7.7)/(g1^2*g2^2*g3^2) + (g4^2*t^7.7)/(g2*g3) + t^7.708/(g1^2*g2^5*g3^7*g4) + t^7.708/(g2^4*g3^6*g4) + t^7.708/(g1^2*g2^7*g3^5*g4) + (g1^2*t^7.708)/(g2^3*g3^5*g4) + t^7.708/(g2^6*g3^4*g4) + (g1^2*t^7.708)/(g2^5*g3^3*g4) + (g4*t^7.708)/(g1^2*g2^2) + g1^2*g2^2*g4*t^7.708 + (g4*t^7.708)/(g1^2*g3^2) + (g2*g4*t^7.708)/g3 + (g3*g4*t^7.708)/g2 + g1^2*g3^2*g4*t^7.708 + t^7.717/g1^2 + g1^2*g2^4*t^7.717 + (g2^2*t^7.717)/(g1^2*g3^2) - 2*g2*g3*t^7.717 + (g3^2*t^7.717)/(g1^2*g2^2) + g1^2*g2^2*g3^2*t^7.717 + g1^2*g3^4*t^7.717 - t^7.717/(g2^4*g3^4*g4^2) - g2^6*g3^6*g4^2*t^7.717 - (g2^3*g3*t^7.725)/g4 - (g2*g3^3*t^7.725)/g4 - g2^8*g3^6*g4*t^7.725 - g2^6*g3^8*g4*t^7.725 + (2*t^8.55)/(g2^9*g3^9) + t^8.55/(g2^14*g3^14*g4^2) + (g4^2*t^8.55)/(g2^4*g3^4) + t^8.559/(g2^12*g3^14*g4^3) + t^8.559/(g2^14*g3^12*g4^3) + (2*t^8.559)/(g2^7*g3^9*g4) + (2*t^8.559)/(g2^9*g3^7*g4) + (2*g4*t^8.559)/(g2^2*g3^4) + (2*g4*t^8.559)/(g2^4*g3^2) + g2^3*g3*g4^3*t^8.559 + g2*g3^3*g4^3*t^8.559 + (2*t^8.567)/g2^4 + (2*t^8.567)/g3^4 - t^8.567/(g1^2*g2^3*g3^3) - (g1^2*t^8.567)/(g2*g3) + t^8.567/(g2^5*g3^9*g4^2) + t^8.567/(g2^7*g3^7*g4^2) + t^8.567/(g2^9*g3^5*g4^2) + g2^5*g3*g4^2*t^8.567 + g2^3*g3^3*g4^2*t^8.567 + g2*g3^5*g4^2*t^8.567 + (2*t^8.575)/(g2^2*g4) + (g2^2*t^8.575)/(g3^4*g4) + (2*t^8.575)/(g3^2*g4) + (g3^2*t^8.575)/(g2^4*g4) + g2^7*g3*g4*t^8.575 + 2*g2^5*g3^3*g4*t^8.575 + 2*g2^3*g3^5*g4*t^8.575 + g2*g3^7*g4*t^8.575 + g2^7*g3^3*t^8.583 + 2*g2^5*g3^5*t^8.583 + g2^3*g3^7*t^8.583 + t^8.583/g4^2 + g2^10*g3^10*g4^2*t^8.583 + t^8.984/(g1*g2^15*g3^15*g4^3) + (g1*t^8.984)/(g2^14*g3^14*g4^3) + (2*t^8.984)/(g1*g2^10*g3^10*g4) + (2*g1*t^8.984)/(g2^9*g3^9*g4) + (2*g4*t^8.984)/(g1*g2^5*g3^5) + (2*g1*g4*t^8.984)/(g2^4*g3^4) + (g4^3*t^8.984)/g1 + g1*g2*g3*g4^3*t^8.984 + t^8.992/(g1*g2^3*g3^5) + (g1*t^8.992)/(g2^2*g3^4) + t^8.992/(g1*g2^5*g3^3) + (g1*t^8.992)/(g2^4*g3^2) + t^8.992/(g1*g2^8*g3^10*g4^2) + (g1*t^8.992)/(g2^7*g3^9*g4^2) + t^8.992/(g1*g2^10*g3^8*g4^2) + (g1*t^8.992)/(g2^9*g3^7*g4^2) + (g2^2*g4^2*t^8.992)/g1 + g1*g2^3*g3*g4^2*t^8.992 + (g3^2*g4^2*t^8.992)/g1 + g1*g2*g3^3*g4^2*t^8.992 - (g2*g3*t^4.717)/y + t^8.984/(g2^7*g3^7*y) + t^8.992/(g2^5*g3^7*g4*y) + t^8.992/(g2^7*g3^5*g4*y) + (g4*t^8.992)/(g2^2*y) + (g4*t^8.992)/(g3^2*y) - g2*g3*t^4.717*y + (t^8.984*y)/(g2^7*g3^7) + (t^8.992*y)/(g2^5*g3^7*g4) + (t^8.992*y)/(g2^7*g3^5*g4) + (g4*t^8.992*y)/g2^2 + (g4*t^8.992*y)/g3^2

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
55748	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{3}^{2}$	0.8359	1.0133	0.825	[M:[0.9036], q:[0.7259, 0.7259, 0.7259], qb:[0.5482, 0.5482, 0.533], phi:[0.5482]]	t^2.711 + 2*t^3.244 + t^3.289 + 3*t^3.777 + 6*t^3.822 + 3*t^4.355 + t^4.843 + 2*t^4.888 + 3*t^4.934 + t^5.421 - 7*t^6. - t^4.645/y - t^4.645*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
55447	SU2adj1nf3	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{2}$	0.8544	1.0432	0.8191	[M:[0.8516], q:[0.7129, 0.7129, 0.5693], qb:[0.5693, 0.5693, 0.5693], phi:[0.5742]]	t^2.555 + 6*t^3.416 + 8*t^3.847 + t^4.277 + t^5.11 + 10*t^5.139 + 6*t^5.971 - 17*t^6. - t^4.723/y - t^4.723*y	detail