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
3873	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$	0.6679	0.8411	0.7941	[X:[1.2996], M:[0.736, 0.8071, 0.7004, 0.8427, 1.1573, 0.7715, 0.8427], q:[0.8605, 0.4036], qb:[0.4391, 0.7538], phi:[0.3858]]	[X:[[28]], M:[[-18], [2], [-28], [12], [-12], [-8], [12]], q:[[17], [1]], qb:[[11], [-13]], phi:[[-4]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$	${}M_{1}\phi_{1}\tilde{q}_{1}^{2}$	-1	t^2.208 + 2*t^2.315 + t^2.421 + 2*t^2.528 + t^3.579 + t^3.792 + t^3.899 + t^4.416 + 2*t^4.523 + 4*t^4.629 + 4*t^4.736 + 6*t^4.843 + 2*t^4.949 + 3*t^5.056 - t^6. + 3*t^6.107 + 2*t^6.213 + 3*t^6.32 + 2*t^6.427 + t^6.624 + 2*t^6.73 + 4*t^6.837 + 7*t^6.944 + 7*t^7.051 + 10*t^7.157 + 5*t^7.264 + 7*t^7.371 + 2*t^7.477 + 4*t^7.584 + t^7.691 + t^7.798 - 2*t^8.101 - 3*t^8.208 - 5*t^8.315 - 2*t^8.421 - 2*t^8.528 + 6*t^8.635 + 5*t^8.742 + t^8.832 + 5*t^8.848 + 2*t^8.938 + 3*t^8.955 - t^4.157/y - t^6.365/y - (2*t^6.472)/y - t^6.579/y - t^6.685/y + (2*t^7.523)/y + (3*t^7.629)/y + (5*t^7.736)/y + (6*t^7.843)/y + (3*t^7.949)/y + t^8.056/y - t^8.573/y - (2*t^8.68)/y - (3*t^8.787)/y - t^8.893/y - t^4.157*y - t^6.365*y - 2*t^6.472*y - t^6.579*y - t^6.685*y + 2*t^7.523*y + 3*t^7.629*y + 5*t^7.736*y + 6*t^7.843*y + 3*t^7.949*y + t^8.056*y - t^8.573*y - 2*t^8.68*y - 3*t^8.787*y - t^8.893*y	t^2.208/g1^18 + (2*t^2.315)/g1^8 + g1^2*t^2.421 + 2*g1^12*t^2.528 + t^3.579/g1^2 + g1^18*t^3.792 + g1^28*t^3.899 + t^4.416/g1^36 + (2*t^4.523)/g1^26 + (4*t^4.629)/g1^16 + (4*t^4.736)/g1^6 + 6*g1^4*t^4.843 + 2*g1^14*t^4.949 + 3*g1^24*t^5.056 - t^6. + 3*g1^10*t^6.107 + 2*g1^20*t^6.213 + 3*g1^30*t^6.32 + 2*g1^40*t^6.427 + t^6.624/g1^54 + (2*t^6.73)/g1^44 + (4*t^6.837)/g1^34 + (7*t^6.944)/g1^24 + (7*t^7.051)/g1^14 + (10*t^7.157)/g1^4 + 5*g1^6*t^7.264 + 7*g1^16*t^7.371 + 2*g1^26*t^7.477 + 4*g1^36*t^7.584 + g1^46*t^7.691 + g1^56*t^7.798 - (2*t^8.101)/g1^28 - (3*t^8.208)/g1^18 - (5*t^8.315)/g1^8 - 2*g1^2*t^8.421 - 2*g1^12*t^8.528 + 6*g1^22*t^8.635 + 5*g1^32*t^8.742 + t^8.832/g1^72 + 5*g1^42*t^8.848 + (2*t^8.938)/g1^62 + 3*g1^52*t^8.955 - t^4.157/(g1^4*y) - t^6.365/(g1^22*y) - (2*t^6.472)/(g1^12*y) - t^6.579/(g1^2*y) - (g1^8*t^6.685)/y + (2*t^7.523)/(g1^26*y) + (3*t^7.629)/(g1^16*y) + (5*t^7.736)/(g1^6*y) + (6*g1^4*t^7.843)/y + (3*g1^14*t^7.949)/y + (g1^24*t^8.056)/y - t^8.573/(g1^40*y) - (2*t^8.68)/(g1^30*y) - (3*t^8.787)/(g1^20*y) - t^8.893/(g1^10*y) - (t^4.157*y)/g1^4 - (t^6.365*y)/g1^22 - (2*t^6.472*y)/g1^12 - (t^6.579*y)/g1^2 - g1^8*t^6.685*y + (2*t^7.523*y)/g1^26 + (3*t^7.629*y)/g1^16 + (5*t^7.736*y)/g1^6 + 6*g1^4*t^7.843*y + 3*g1^14*t^7.949*y + g1^24*t^8.056*y - (t^8.573*y)/g1^40 - (2*t^8.68*y)/g1^30 - (3*t^8.787*y)/g1^20 - (t^8.893*y)/g1^10

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
5461	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6877	0.8778	0.7834	[X:[1.3189], M:[0.7236, 0.8085, 0.6811, 0.851, 1.149, 0.766, 0.851, 0.7236], q:[0.8722, 0.4042], qb:[0.4467, 0.7448], phi:[0.383]]	2*t^2.171 + 2*t^2.298 + t^2.425 + 2*t^2.553 + t^3.575 + t^3.957 + 3*t^4.341 + 4*t^4.469 + 5*t^4.596 + 6*t^4.724 + 6*t^4.851 + 2*t^4.978 + 3*t^5.106 + t^5.745 - 2*t^6. - t^4.149/y - t^4.149*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
3393	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$	0.6548	0.8185	0.8	[X:[1.3333], M:[0.7143, 0.8095, 0.6667, 0.8571, 1.1429, 0.7619], q:[0.881, 0.4048], qb:[0.4524, 0.7381], phi:[0.381]]	t^2.143 + 2*t^2.286 + t^2.429 + t^2.571 + t^3.429 + t^3.571 + t^3.857 + t^4. + t^4.286 + 2*t^4.429 + 4*t^4.571 + 3*t^4.714 + 4*t^4.857 + t^5. + t^5.143 + t^5.571 + 2*t^5.714 + t^5.857 - t^4.143/y - t^4.143*y	detail	{a: 55/84, c: 275/336, X1: 4/3, M1: 5/7, M2: 17/21, M3: 2/3, M4: 6/7, M5: 8/7, M6: 16/21, q1: 37/42, q2: 17/42, qb1: 19/42, qb2: 31/42, phi1: 8/21}