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
3919	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.7067	0.9339	0.7567	[M:[1.1147, 0.7706, 0.75, 0.8647, 0.8853, 0.7294, 0.75], q:[0.75, 0.3853], qb:[0.5, 0.3647], phi:[0.5]]	[M:[[1], [-2], [0], [1], [-1], [2], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{3}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}M_{5}q_{1}\tilde{q}_{2}$	-2	t^2.188 + 3*t^2.25 + t^2.312 + 2*t^2.594 + t^2.656 + t^3. + t^3.344 + t^4.094 + t^4.156 + t^4.376 + 3*t^4.438 + 8*t^4.5 + 3*t^4.562 + t^4.624 + 2*t^4.782 + 7*t^4.844 + 5*t^4.906 + t^4.968 + 4*t^5.188 + 5*t^5.25 + 2*t^5.312 + t^5.532 + 4*t^5.594 + t^5.656 + t^5.938 - 2*t^6. - t^6.062 + t^6.282 + 2*t^6.344 + t^6.406 + t^6.468 + t^6.564 + 3*t^6.626 + 10*t^6.688 + 15*t^6.75 + 8*t^6.812 + 3*t^6.874 + t^6.936 + 2*t^6.97 + 7*t^7.032 + 16*t^7.094 + 11*t^7.156 + 5*t^7.218 + t^7.28 + 4*t^7.376 + 13*t^7.438 + 13*t^7.5 + 6*t^7.562 + 2*t^7.624 + t^7.72 + 8*t^7.782 + 10*t^7.844 + 2*t^7.906 + 2*t^7.968 + t^8.126 + 2*t^8.188 - 8*t^8.25 - 5*t^8.312 - t^8.374 + t^8.47 + 3*t^8.532 - 4*t^8.594 - 5*t^8.656 + t^8.753 + t^8.78 + 3*t^8.814 + 10*t^8.876 + 15*t^8.938 - t^4.5/y - t^6.688/y - (2*t^6.75)/y - t^6.812/y - t^7.094/y + (3*t^7.438)/y + (4*t^7.5)/y + (3*t^7.562)/y + (2*t^7.782)/y + (7*t^7.844)/y + (6*t^7.906)/y + t^7.968/y + (3*t^8.188)/y + (7*t^8.25)/y + (2*t^8.312)/y + t^8.532/y + (5*t^8.594)/y + (2*t^8.656)/y - t^8.876/y - t^4.5*y - t^6.688*y - 2*t^6.75*y - t^6.812*y - t^7.094*y + 3*t^7.438*y + 4*t^7.5*y + 3*t^7.562*y + 2*t^7.782*y + 7*t^7.844*y + 6*t^7.906*y + t^7.968*y + 3*t^8.188*y + 7*t^8.25*y + 2*t^8.312*y + t^8.532*y + 5*t^8.594*y + 2*t^8.656*y - t^8.876*y	g1^2*t^2.188 + 3*t^2.25 + t^2.312/g1^2 + 2*g1*t^2.594 + t^2.656/g1 + t^3. + g1*t^3.344 + g1*t^4.094 + t^4.156/g1 + g1^4*t^4.376 + 3*g1^2*t^4.438 + 8*t^4.5 + (3*t^4.562)/g1^2 + t^4.624/g1^4 + 2*g1^3*t^4.782 + 7*g1*t^4.844 + (5*t^4.906)/g1 + t^4.968/g1^3 + 4*g1^2*t^5.188 + 5*t^5.25 + (2*t^5.312)/g1^2 + g1^3*t^5.532 + 4*g1*t^5.594 + t^5.656/g1 + g1^2*t^5.938 - 2*t^6. - t^6.062/g1^2 + g1^3*t^6.282 + 2*g1*t^6.344 + t^6.406/g1 + t^6.468/g1^3 + g1^6*t^6.564 + 3*g1^4*t^6.626 + 10*g1^2*t^6.688 + 15*t^6.75 + (8*t^6.812)/g1^2 + (3*t^6.874)/g1^4 + t^6.936/g1^6 + 2*g1^5*t^6.97 + 7*g1^3*t^7.032 + 16*g1*t^7.094 + (11*t^7.156)/g1 + (5*t^7.218)/g1^3 + t^7.28/g1^5 + 4*g1^4*t^7.376 + 13*g1^2*t^7.438 + 13*t^7.5 + (6*t^7.562)/g1^2 + (2*t^7.624)/g1^4 + g1^5*t^7.72 + 8*g1^3*t^7.782 + 10*g1*t^7.844 + (2*t^7.906)/g1 + (2*t^7.968)/g1^3 + g1^4*t^8.126 + 2*g1^2*t^8.188 - 8*t^8.25 - (5*t^8.312)/g1^2 - t^8.374/g1^4 + g1^5*t^8.47 + 3*g1^3*t^8.532 - 4*g1*t^8.594 - (5*t^8.656)/g1 + g1^8*t^8.753 + t^8.78/g1^5 + 3*g1^6*t^8.814 + 10*g1^4*t^8.876 + 15*g1^2*t^8.938 - t^4.5/y - (g1^2*t^6.688)/y - (2*t^6.75)/y - t^6.812/(g1^2*y) - (g1*t^7.094)/y + (3*g1^2*t^7.438)/y + (4*t^7.5)/y + (3*t^7.562)/(g1^2*y) + (2*g1^3*t^7.782)/y + (7*g1*t^7.844)/y + (6*t^7.906)/(g1*y) + t^7.968/(g1^3*y) + (3*g1^2*t^8.188)/y + (7*t^8.25)/y + (2*t^8.312)/(g1^2*y) + (g1^3*t^8.532)/y + (5*g1*t^8.594)/y + (2*t^8.656)/(g1*y) - (g1^4*t^8.876)/y - t^4.5*y - g1^2*t^6.688*y - 2*t^6.75*y - (t^6.812*y)/g1^2 - g1*t^7.094*y + 3*g1^2*t^7.438*y + 4*t^7.5*y + (3*t^7.562*y)/g1^2 + 2*g1^3*t^7.782*y + 7*g1*t^7.844*y + (6*t^7.906*y)/g1 + (t^7.968*y)/g1^3 + 3*g1^2*t^8.188*y + 7*t^8.25*y + (2*t^8.312*y)/g1^2 + g1^3*t^8.532*y + 5*g1*t^8.594*y + (2*t^8.656*y)/g1 - g1^4*t^8.876*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
5489	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.7062	0.9328	0.7571	[M:[1.125, 0.75, 0.75, 0.875, 0.875, 0.75, 0.75], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]]	5*t^2.25 + 3*t^2.625 + t^3. + t^3.375 + 2*t^4.125 + 16*t^4.5 + 15*t^4.875 + 11*t^5.25 + 6*t^5.625 - 2*t^6. - t^4.5/y - t^4.5*y	detail	{a: 11571/16384, c: 15283/16384, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, M5: 7/8, M6: 3/4, M7: 3/4, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2}

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
3646	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6876	0.8992	0.7647	[M:[1.1147, 0.7706, 0.75, 0.8647, 0.8853, 0.7294], q:[0.75, 0.3853], qb:[0.5, 0.3647], phi:[0.5]]	t^2.188 + 2*t^2.25 + t^2.312 + 2*t^2.594 + t^2.656 + t^3. + t^3.344 + t^3.75 + t^4.094 + t^4.156 + t^4.376 + 2*t^4.438 + 5*t^4.5 + 2*t^4.562 + t^4.624 + 2*t^4.782 + 5*t^4.844 + 4*t^4.906 + t^4.968 + 4*t^5.188 + 4*t^5.25 + 2*t^5.312 + t^5.532 + 3*t^5.594 + t^5.656 + 2*t^5.938 - t^4.5/y - t^4.5*y	detail