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
3164	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$	0.5997	0.7631	0.7859	[X:[1.5767], M:[0.4233, 1.2698, 0.7302, 0.9628, 1.0372, 0.7302, 0.7721], q:[0.9419, 0.6349], qb:[0.3279, 0.4023], phi:[0.4233]]	[X:[[2]], M:[[-2], [-6], [6], [-14], [14], [6], [-32]], q:[[5], [-3]], qb:[[-11], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-1	2*t^2.191 + t^2.316 + t^2.54 + t^2.888 + t^3.112 + t^3.237 + t^3.46 + t^4.032 + 3*t^4.381 + 2*t^4.507 + t^4.633 + 3*t^4.73 + t^4.856 + 3*t^5.079 + t^5.205 + 2*t^5.302 + 3*t^5.428 + t^5.554 + 2*t^5.651 + 2*t^5.777 - t^6. + t^6.126 + 2*t^6.223 + t^6.349 + t^6.475 + 4*t^6.572 + 2*t^6.698 + 2*t^6.823 + 3*t^6.921 + t^6.949 + 2*t^7.047 + t^7.172 + 4*t^7.27 + 3*t^7.395 + 2*t^7.493 + t^7.521 + 5*t^7.619 + 3*t^7.744 + 2*t^7.842 + t^7.87 + 4*t^7.968 + t^8.065 + 2*t^8.093 - 3*t^8.191 + t^8.316 + 2*t^8.414 + t^8.442 - t^8.54 + 3*t^8.665 + 4*t^8.763 + t^8.791 - t^8.888 - t^4.27/y - t^6.46/y - t^6.586/y - t^6.809/y + t^7.381/y + (2*t^7.507)/y + (3*t^7.73)/y + t^7.856/y + t^7.953/y + (3*t^8.079)/y + t^8.205/y + (2*t^8.302)/y + (4*t^8.428)/y + t^8.554/y + (2*t^8.651)/y + t^8.777/y - t^8.903/y - t^4.27*y - t^6.46*y - t^6.586*y - t^6.809*y + t^7.381*y + 2*t^7.507*y + 3*t^7.73*y + t^7.856*y + t^7.953*y + 3*t^8.079*y + t^8.205*y + 2*t^8.302*y + 4*t^8.428*y + t^8.554*y + 2*t^8.651*y + t^8.777*y - t^8.903*y	2*g1^6*t^2.191 + t^2.316/g1^32 + t^2.54/g1^4 + t^2.888/g1^14 + g1^14*t^3.112 + t^3.237/g1^24 + g1^4*t^3.46 + g1^22*t^4.032 + 3*g1^12*t^4.381 + (2*t^4.507)/g1^26 + t^4.633/g1^64 + 3*g1^2*t^4.73 + t^4.856/g1^36 + (3*t^5.079)/g1^8 + t^5.205/g1^46 + 2*g1^20*t^5.302 + (3*t^5.428)/g1^18 + t^5.554/g1^56 + 2*g1^10*t^5.651 + (2*t^5.777)/g1^28 - t^6. + t^6.126/g1^38 + 2*g1^28*t^6.223 + t^6.349/g1^10 + t^6.475/g1^48 + 4*g1^18*t^6.572 + (2*t^6.698)/g1^20 + (2*t^6.823)/g1^58 + 3*g1^8*t^6.921 + t^6.949/g1^96 + (2*t^7.047)/g1^30 + t^7.172/g1^68 + (4*t^7.27)/g1^2 + (3*t^7.395)/g1^40 + 2*g1^26*t^7.493 + t^7.521/g1^78 + (5*t^7.619)/g1^12 + (3*t^7.744)/g1^50 + 2*g1^16*t^7.842 + t^7.87/g1^88 + (4*t^7.968)/g1^22 + g1^44*t^8.065 + (2*t^8.093)/g1^60 - 3*g1^6*t^8.191 + t^8.316/g1^32 + 2*g1^34*t^8.414 + t^8.442/g1^70 - t^8.54/g1^4 + (3*t^8.665)/g1^42 + 4*g1^24*t^8.763 + t^8.791/g1^80 - t^8.888/g1^14 - t^4.27/(g1^2*y) - (g1^4*t^6.46)/y - t^6.586/(g1^34*y) - t^6.809/(g1^6*y) + (g1^12*t^7.381)/y + (2*t^7.507)/(g1^26*y) + (3*g1^2*t^7.73)/y + t^7.856/(g1^36*y) + (g1^30*t^7.953)/y + (3*t^8.079)/(g1^8*y) + t^8.205/(g1^46*y) + (2*g1^20*t^8.302)/y + (4*t^8.428)/(g1^18*y) + t^8.554/(g1^56*y) + (2*g1^10*t^8.651)/y + t^8.777/(g1^28*y) - t^8.903/(g1^66*y) - (t^4.27*y)/g1^2 - g1^4*t^6.46*y - (t^6.586*y)/g1^34 - (t^6.809*y)/g1^6 + g1^12*t^7.381*y + (2*t^7.507*y)/g1^26 + 3*g1^2*t^7.73*y + (t^7.856*y)/g1^36 + g1^30*t^7.953*y + (3*t^8.079*y)/g1^8 + (t^8.205*y)/g1^46 + 2*g1^20*t^8.302*y + (4*t^8.428*y)/g1^18 + (t^8.554*y)/g1^56 + 2*g1^10*t^8.651*y + (t^8.777*y)/g1^28 - (t^8.903*y)/g1^66

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
5027	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{7}$	0.5796	0.7372	0.7862	[X:[1.5652], M:[0.4348, 1.3043, 0.6957, 1.0435, 0.9565, 0.6957, 0.9565], q:[0.913, 0.6522], qb:[0.3913, 0.3043], phi:[0.4348]]	2*t^2.087 + t^2.609 + 2*t^2.87 + t^3.13 + t^3.391 + 2*t^3.652 + 3*t^4.174 + 3*t^4.696 + 4*t^4.957 + 3*t^5.217 + 3*t^5.478 + 6*t^5.739 - t^4.304/y - t^4.304*y	detail	{a: 56415/97336, c: 17939/24334, X1: 36/23, M1: 10/23, M2: 30/23, M3: 16/23, M4: 24/23, M5: 22/23, M6: 16/23, M7: 22/23, q1: 21/23, q2: 15/23, qb1: 9/23, qb2: 7/23, phi1: 10/23}
5029	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{8}$	0.5969	0.7578	0.7877	[X:[1.5747], M:[0.4253, 1.2759, 0.7241, 0.9772, 1.0228, 0.7241, 0.805, 1.0228], q:[0.9367, 0.638], qb:[0.3392, 0.3849], phi:[0.4253]]	2*t^2.172 + t^2.415 + t^2.552 + 2*t^3.068 + t^3.311 + t^3.448 + t^3.965 + 3*t^4.344 + 2*t^4.587 + 3*t^4.724 + t^4.83 + t^4.967 + t^5.104 + 4*t^5.241 + 3*t^5.483 + 3*t^5.62 + t^5.726 + t^5.863 - 2*t^6. - t^4.276/y - t^4.276*y	detail
5023	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}^{2}$	0.5695	0.7257	0.7847	[X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 0.9375, 0.6875, 1.0], q:[0.9063, 0.6563], qb:[0.4063, 0.2813], phi:[0.4375]]	2*t^2.063 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.75 + 3*t^4.125 + 3*t^4.688 + 2*t^4.875 + 2*t^5.063 + 3*t^5.25 + 2*t^5.438 + 3*t^5.625 + 3*t^5.813 - t^4.313/y - t^4.313*y	detail	{a: 4665/8192, c: 5945/8192, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 15/16, M6: 11/16, M7: 1, q1: 29/32, q2: 21/32, qb1: 13/32, qb2: 9/32, phi1: 7/16}

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
2095	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$	0.5831	0.734	0.7944	[X:[1.5732], M:[0.4268, 1.2803, 0.7197, 0.9873, 1.0127, 0.7197], q:[0.9331, 0.6401], qb:[0.3472, 0.3725], phi:[0.4268]]	2*t^2.159 + t^2.561 + t^2.962 + t^3.038 + t^3.363 + t^3.439 + t^3.516 + t^3.917 + 3*t^4.318 + 3*t^4.72 + 3*t^5.121 + 2*t^5.197 + 2*t^5.523 + 2*t^5.599 + 2*t^5.675 + t^5.924 - t^6. - t^4.28/y - t^4.28*y	detail