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
1937	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	0.685	0.8925	0.7675	[M:[0.8301, 1.1699, 0.8301, 0.6797, 0.6699], q:[0.75, 0.4199], qb:[0.4101, 0.4199], phi:[0.5]]	[M:[[-1], [1], [-1], [4], [1]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	${}M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	0	t^2.01 + t^2.039 + 3*t^2.49 + t^2.52 + t^3. + t^3.48 + t^3.51 + t^3.99 + 4*t^4.02 + t^4.049 + t^4.078 + 3*t^4.5 + 4*t^4.529 + t^4.559 + 6*t^4.98 + 4*t^5.01 + 2*t^5.039 + 4*t^5.49 + 3*t^5.52 + t^5.549 + t^5.971 + 4*t^6.029 + 4*t^6.059 + t^6.088 + t^6.118 + 2*t^6.48 + 10*t^6.51 + 7*t^6.539 + 4*t^6.569 + t^6.598 + 4*t^6.99 + 10*t^7.02 + 5*t^7.049 + 2*t^7.078 + 7*t^7.471 + 6*t^7.5 + 8*t^7.529 + 4*t^7.559 + t^7.588 + 4*t^7.98 + 3*t^8.01 + 9*t^8.039 + 4*t^8.069 + 4*t^8.098 + t^8.127 + t^8.157 - 6*t^8.49 + 5*t^8.52 + 13*t^8.549 + 7*t^8.578 + 4*t^8.608 + t^8.637 + t^8.971 - t^4.5/y - t^6.51/y - t^6.539/y - t^6.99/y + t^7.049/y + (3*t^7.5)/y + (4*t^7.529)/y + t^7.559/y + (3*t^7.98)/y + (5*t^8.01)/y + t^8.039/y + t^8.461/y + (5*t^8.49)/y + (2*t^8.52)/y - t^8.578/y + (3*t^8.971)/y - t^4.5*y - t^6.51*y - t^6.539*y - t^6.99*y + t^7.049*y + 3*t^7.5*y + 4*t^7.529*y + t^7.559*y + 3*t^7.98*y + 5*t^8.01*y + t^8.039*y + t^8.461*y + 5*t^8.49*y + 2*t^8.52*y - t^8.578*y + 3*t^8.971*y	g1*t^2.01 + g1^4*t^2.039 + (3*t^2.49)/g1 + g1^2*t^2.52 + t^3. + t^3.48/g1^2 + g1*t^3.51 + t^3.99/g1 + 4*g1^2*t^4.02 + g1^5*t^4.049 + g1^8*t^4.078 + 3*t^4.5 + 4*g1^3*t^4.529 + g1^6*t^4.559 + (6*t^4.98)/g1^2 + 4*g1*t^5.01 + 2*g1^4*t^5.039 + (4*t^5.49)/g1 + 3*g1^2*t^5.52 + g1^5*t^5.549 + t^5.971/g1^3 + 4*g1^3*t^6.029 + 4*g1^6*t^6.059 + g1^9*t^6.088 + g1^12*t^6.118 + (2*t^6.48)/g1^2 + 10*g1*t^6.51 + 7*g1^4*t^6.539 + 4*g1^7*t^6.569 + g1^10*t^6.598 + (4*t^6.99)/g1 + 10*g1^2*t^7.02 + 5*g1^5*t^7.049 + 2*g1^8*t^7.078 + (7*t^7.471)/g1^3 + 6*t^7.5 + 8*g1^3*t^7.529 + 4*g1^6*t^7.559 + g1^9*t^7.588 + (4*t^7.98)/g1^2 + 3*g1*t^8.01 + 9*g1^4*t^8.039 + 4*g1^7*t^8.069 + 4*g1^10*t^8.098 + g1^13*t^8.127 + g1^16*t^8.157 - (6*t^8.49)/g1 + 5*g1^2*t^8.52 + 13*g1^5*t^8.549 + 7*g1^8*t^8.578 + 4*g1^11*t^8.608 + g1^14*t^8.637 + t^8.971/g1^3 - t^4.5/y - (g1*t^6.51)/y - (g1^4*t^6.539)/y - t^6.99/(g1*y) + (g1^5*t^7.049)/y + (3*t^7.5)/y + (4*g1^3*t^7.529)/y + (g1^6*t^7.559)/y + (3*t^7.98)/(g1^2*y) + (5*g1*t^8.01)/y + (g1^4*t^8.039)/y + t^8.461/(g1^4*y) + (5*t^8.49)/(g1*y) + (2*g1^2*t^8.52)/y - (g1^8*t^8.578)/y + (3*t^8.971)/(g1^3*y) - t^4.5*y - g1*t^6.51*y - g1^4*t^6.539*y - (t^6.99*y)/g1 + g1^5*t^7.049*y + 3*t^7.5*y + 4*g1^3*t^7.529*y + g1^6*t^7.559*y + (3*t^7.98*y)/g1^2 + 5*g1*t^8.01*y + g1^4*t^8.039*y + (t^8.461*y)/g1^4 + (5*t^8.49*y)/g1 + 2*g1^2*t^8.52*y - g1^8*t^8.578*y + (3*t^8.971*y)/g1^3

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
2975	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6758	0.8758	0.7716	[M:[0.8, 1.2, 0.8, 0.8, 0.7], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]]	t^2.1 + 4*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + t^3.9 + 4*t^4.2 + 4*t^4.5 + 11*t^4.8 + 5*t^5.1 + 6*t^5.4 + 4*t^5.7 + t^6. - t^4.5/y - t^4.5*y	detail	{a: 2703/4000, c: 3503/4000, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 7/10, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2}
2976	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6997	0.9172	0.7628	[M:[0.8268, 1.1732, 0.8268, 0.6926, 0.6732, 0.8268], q:[0.75, 0.4232], qb:[0.4037, 0.4232], phi:[0.5]]	t^2.019 + t^2.078 + 4*t^2.481 + t^2.539 + t^3. + t^3.461 + t^3.981 + 4*t^4.039 + t^4.097 + t^4.156 + 4*t^4.5 + 5*t^4.558 + t^4.617 + 10*t^4.961 + 5*t^5.019 + 2*t^5.078 + 5*t^5.481 + 2*t^5.539 + 2*t^5.942 - 3*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
569	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6855	0.8931	0.7675	[M:[0.8163, 1.1837, 0.8163, 0.6776, 0.6837], q:[0.75, 0.4337], qb:[0.4112, 0.4051], phi:[0.5]]	t^2.033 + t^2.051 + 2*t^2.449 + t^2.516 + t^2.535 + t^3. + t^3.465 + t^3.484 + t^3.931 + t^4.016 + t^4.035 + t^4.066 + t^4.084 + 2*t^4.102 + 2*t^4.482 + 2*t^4.5 + t^4.549 + 2*t^4.567 + t^4.586 + 3*t^4.898 + 2*t^4.965 + 2*t^4.984 + 2*t^5.033 + 2*t^5.051 + t^5.069 + 2*t^5.449 + t^5.498 + 3*t^5.516 + 2*t^5.535 + t^5.914 + t^5.933 + t^5.964 + t^5.982 - t^6. - t^4.5/y - t^4.5*y	detail