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
4589	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$	0.6038	0.7714	0.7828	[X:[1.5787], M:[0.4213, 1.2639, 0.7361, 0.9492, 1.0508, 0.9492, 0.7361, 0.741], q:[0.9467, 0.632], qb:[0.3172, 0.4189], phi:[0.4213]]	[X:[[2]], M:[[-2], [-6], [6], [-14], [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
${}M_{3}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-2	2*t^2.208 + t^2.223 + t^2.528 + 2*t^2.848 + t^3.167 + t^3.472 + t^4.097 + 3*t^4.416 + 2*t^4.431 + t^4.446 + 3*t^4.736 + t^4.751 + 5*t^5.056 + 2*t^5.07 + 3*t^5.375 + t^5.39 + t^5.68 + 4*t^5.695 - 2*t^6. + 2*t^6.015 + t^6.305 + t^6.32 + t^6.334 + 3*t^6.625 + 2*t^6.639 + 2*t^6.654 + t^6.669 + 4*t^6.944 + 2*t^6.959 + t^6.974 - t^7.249 + 7*t^7.264 + 5*t^7.279 + 2*t^7.293 - t^7.569 + 6*t^7.584 + 3*t^7.598 + t^7.613 - t^7.889 + 8*t^7.903 + 4*t^7.918 + t^8.194 - 6*t^8.208 + 3*t^8.223 + 2*t^8.238 - 3*t^8.528 + 6*t^8.543 + t^8.557 + 2*t^8.833 - 5*t^8.848 + 5*t^8.862 + 2*t^8.877 + t^8.892 - t^4.264/y - t^6.472/y - t^6.487/y - t^6.792/y - t^7.111/y + (2*t^7.416)/y + (2*t^7.431)/y + (3*t^7.736)/y + t^7.751/y + t^8.041/y + (5*t^8.056)/y + (2*t^8.07)/y + (4*t^8.375)/y + t^8.39/y + t^8.68/y + (2*t^8.695)/y - t^8.71/y - t^4.264*y - t^6.472*y - t^6.487*y - t^6.792*y - t^7.111*y + 2*t^7.416*y + 2*t^7.431*y + 3*t^7.736*y + t^7.751*y + t^8.041*y + 5*t^8.056*y + 2*t^8.07*y + 4*t^8.375*y + t^8.39*y + t^8.68*y + 2*t^8.695*y - t^8.71*y	2*g1^6*t^2.208 + t^2.223/g1^32 + t^2.528/g1^4 + (2*t^2.848)/g1^14 + t^3.167/g1^24 + g1^4*t^3.472 + g1^22*t^4.097 + 3*g1^12*t^4.416 + (2*t^4.431)/g1^26 + t^4.446/g1^64 + 3*g1^2*t^4.736 + t^4.751/g1^36 + (5*t^5.056)/g1^8 + (2*t^5.07)/g1^46 + (3*t^5.375)/g1^18 + t^5.39/g1^56 + g1^10*t^5.68 + (4*t^5.695)/g1^28 - 2*t^6. + (2*t^6.015)/g1^38 + g1^28*t^6.305 + t^6.32/g1^10 + t^6.334/g1^48 + 3*g1^18*t^6.625 + (2*t^6.639)/g1^20 + (2*t^6.654)/g1^58 + t^6.669/g1^96 + 4*g1^8*t^6.944 + (2*t^6.959)/g1^30 + t^6.974/g1^68 - g1^36*t^7.249 + (7*t^7.264)/g1^2 + (5*t^7.279)/g1^40 + (2*t^7.293)/g1^78 - g1^26*t^7.569 + (6*t^7.584)/g1^12 + (3*t^7.598)/g1^50 + t^7.613/g1^88 - g1^16*t^7.889 + (8*t^7.903)/g1^22 + (4*t^7.918)/g1^60 + g1^44*t^8.194 - 6*g1^6*t^8.208 + (3*t^8.223)/g1^32 + (2*t^8.238)/g1^70 - (3*t^8.528)/g1^4 + (6*t^8.543)/g1^42 + t^8.557/g1^80 + 2*g1^24*t^8.833 - (5*t^8.848)/g1^14 + (5*t^8.862)/g1^52 + (2*t^8.877)/g1^90 + t^8.892/g1^128 - t^4.264/(g1^2*y) - (g1^4*t^6.472)/y - t^6.487/(g1^34*y) - t^6.792/(g1^6*y) - t^7.111/(g1^16*y) + (2*g1^12*t^7.416)/y + (2*t^7.431)/(g1^26*y) + (3*g1^2*t^7.736)/y + t^7.751/(g1^36*y) + (g1^30*t^8.041)/y + (5*t^8.056)/(g1^8*y) + (2*t^8.07)/(g1^46*y) + (4*t^8.375)/(g1^18*y) + t^8.39/(g1^56*y) + (g1^10*t^8.68)/y + (2*t^8.695)/(g1^28*y) - t^8.71/(g1^66*y) - (t^4.264*y)/g1^2 - g1^4*t^6.472*y - (t^6.487*y)/g1^34 - (t^6.792*y)/g1^6 - (t^7.111*y)/g1^16 + 2*g1^12*t^7.416*y + (2*t^7.431*y)/g1^26 + 3*g1^2*t^7.736*y + (t^7.751*y)/g1^36 + g1^30*t^8.041*y + (5*t^8.056*y)/g1^8 + (2*t^8.07*y)/g1^46 + (4*t^8.375*y)/g1^18 + (t^8.39*y)/g1^56 + g1^10*t^8.68*y + (2*t^8.695*y)/g1^28 - (t^8.71*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
6112	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}^{2}$	0.5637	0.716	0.7872	[X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 0.9375, 1.0625, 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^3. + 2*t^3.188 + t^3.375 + t^3.563 + t^3.75 + 3*t^4.125 + 3*t^4.688 + 2*t^5.063 + 5*t^5.25 + t^5.438 + 2*t^5.625 + 3*t^5.813 - t^6. - t^4.313/y - t^4.313*y	detail	{a: 73881/131072, c: 93849/131072, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 15/16, M6: 17/16, M7: 11/16, M8: 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
2532	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$	0.5852	0.7367	0.7944	[X:[1.5761], M:[0.4239, 1.2718, 0.7282, 0.9674, 1.0326, 0.9674, 0.7282], q:[0.9402, 0.6359], qb:[0.3315, 0.3967], phi:[0.4239]]	2*t^2.185 + t^2.544 + 2*t^2.902 + t^3.261 + t^3.456 + t^3.652 + t^4.011 + 3*t^4.369 + 3*t^4.728 + 5*t^5.087 + 3*t^5.446 + t^5.641 + 3*t^5.805 + 2*t^5.837 - 2*t^6. - t^4.272/y - t^4.272*y	detail