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
461	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	0.5659	0.7273	0.7781	[M:[0.9873, 1.0127, 0.8608, 0.7089], q:[0.5823, 0.9873], qb:[0.4304, 0.2785], phi:[0.4304]]	[M:[[7], [-7], [-2], [3]], q:[[-6], [7]], qb:[[-1], [4]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}$	-3	2*t^2.127 + 3*t^2.582 + t^2.962 + t^3.038 + t^3.797 + 4*t^4.253 + 7*t^4.709 + 2*t^5.089 + 7*t^5.165 + 2*t^5.544 + 2*t^5.62 + 3*t^5.924 - 3*t^6. + t^6.076 + 7*t^6.38 - 3*t^6.456 + t^6.759 + 10*t^6.835 - t^6.911 + 3*t^7.215 + 13*t^7.291 + t^7.595 + 2*t^7.671 + 10*t^7.747 + 6*t^8.05 - 7*t^8.127 + 4*t^8.203 + 13*t^8.506 - 15*t^8.582 + 2*t^8.658 + 3*t^8.886 + 11*t^8.962 - t^4.291/y - t^6.418/y - (2*t^6.873)/y + t^7.253/y + (8*t^7.709)/y + (2*t^8.089)/y + (6*t^8.165)/y + (2*t^8.544)/y + (3*t^8.62)/y + (2*t^8.924)/y - t^4.291*y - t^6.418*y - 2*t^6.873*y + t^7.253*y + 8*t^7.709*y + 2*t^8.089*y + 6*t^8.165*y + 2*t^8.544*y + 3*t^8.62*y + 2*t^8.924*y	2*g1^3*t^2.127 + (3*t^2.582)/g1^2 + g1^7*t^2.962 + t^3.038/g1^7 + g1^11*t^3.797 + 4*g1^6*t^4.253 + 7*g1*t^4.709 + 2*g1^10*t^5.089 + (7*t^5.165)/g1^4 + 2*g1^5*t^5.544 + (2*t^5.62)/g1^9 + 3*g1^14*t^5.924 - 3*t^6. + t^6.076/g1^14 + 7*g1^9*t^6.38 - (3*t^6.456)/g1^5 + g1^18*t^6.759 + 10*g1^4*t^6.835 - t^6.911/g1^10 + 3*g1^13*t^7.215 + (13*t^7.291)/g1 + g1^22*t^7.595 + 2*g1^8*t^7.671 + (10*t^7.747)/g1^6 + 6*g1^17*t^8.05 - 7*g1^3*t^8.127 + (4*t^8.203)/g1^11 + 13*g1^12*t^8.506 - (15*t^8.582)/g1^2 + (2*t^8.658)/g1^16 + 3*g1^21*t^8.886 + 11*g1^7*t^8.962 - t^4.291/(g1*y) - (g1^2*t^6.418)/y - (2*t^6.873)/(g1^3*y) + (g1^6*t^7.253)/y + (8*g1*t^7.709)/y + (2*g1^10*t^8.089)/y + (6*t^8.165)/(g1^4*y) + (2*g1^5*t^8.544)/y + (3*t^8.62)/(g1^9*y) + (2*g1^14*t^8.924)/y - (t^4.291*y)/g1 - g1^2*t^6.418*y - (2*t^6.873*y)/g1^3 + g1^6*t^7.253*y + 8*g1*t^7.709*y + 2*g1^10*t^8.089*y + (6*t^8.165*y)/g1^4 + 2*g1^5*t^8.544*y + (3*t^8.62*y)/g1^9 + 2*g1^14*t^8.924*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
755	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$	0.522	0.672	0.7768	[M:[1.2, 0.8, 0.8, 0.8], q:[0.4, 1.2], qb:[0.4, 0.4], phi:[0.4]]	6*t^2.4 + t^3.6 + 22*t^4.8 - 3*t^6. - t^4.2/y - t^4.2*y	detail	{a: 261/500, c: 84/125, M1: 6/5, M2: 4/5, M3: 4/5, M4: 4/5, q1: 2/5, q2: 6/5, qb1: 2/5, qb2: 2/5, phi1: 2/5}
1850	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$	0.586	0.7648	0.7663	[M:[1.0039, 0.9961, 0.856, 0.716, 0.7081], q:[0.568, 1.0039], qb:[0.428, 0.288], phi:[0.428]]	t^2.124 + 2*t^2.148 + 3*t^2.568 + t^2.988 + t^3.012 + t^4.249 + 2*t^4.272 + 4*t^4.296 + 3*t^4.692 + 7*t^4.716 + t^5.112 + 8*t^5.136 + 2*t^5.16 + 2*t^5.556 + 2*t^5.58 + t^5.976 - 3*t^6. - t^4.284/y - t^4.284*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
288	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.5456	0.6887	0.7923	[M:[0.9921, 1.0079, 0.8594], q:[0.5782, 0.9921], qb:[0.4297, 0.2812], phi:[0.4297]]	t^2.133 + 3*t^2.578 + t^2.976 + t^3.024 + t^3.82 + t^3.867 + 2*t^4.265 + 4*t^4.711 + t^5.109 + 6*t^5.156 + 2*t^5.555 + 2*t^5.602 + 2*t^5.953 - 2*t^6. - t^4.289/y - t^4.289*y	detail