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
59390	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.2413	1.4513	0.8553	[X:[1.4393], M:[0.9206, 0.8785], q:[0.7741, 0.2134], qb:[0.5062, 0.3473], phi:[0.3598]]	[X:[[0, 4]], M:[[0, -3], [0, 8]], q:[[-1, -8], [-1, -4]], qb:[[1, 6], [1, 0]], phi:[[0, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$	${}M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ 2}\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	3	2*t^2.16 + t^2.64 + 2*t^2.76 + t^3.24 + 2*t^3.84 + 4*t^4.32 + t^4.44 + 2*t^4.68 + 2*t^4.79 + 5*t^4.92 + 2*t^5.16 + t^5.27 + 3*t^5.4 + 3*t^5.52 + 2*t^5.76 + t^5.87 + 3*t^6. + 2*t^6.36 + 7*t^6.48 + 4*t^6.6 + 4*t^6.84 + 4*t^6.95 + 9*t^7.08 + 2*t^7.21 + 4*t^7.32 + 2*t^7.43 + 4*t^7.44 + 6*t^7.56 + 8*t^7.68 + 2*t^7.79 + t^7.91 + 4*t^7.92 + 3*t^8.03 + 6*t^8.16 + 5*t^8.29 + 2*t^8.4 + t^8.51 + 6*t^8.52 + 9*t^8.64 + 3*t^8.76 + t^8.89 - t^4.08/y - t^5.16/y - (2*t^6.24)/y - t^6.71/y - t^6.84/y - t^7.32/y + t^7.79/y + (2*t^7.92)/y + t^8.52/y - t^8.87/y - t^4.08*y - t^5.16*y - 2*t^6.24*y - t^6.71*y - t^6.84*y - t^7.32*y + t^7.79*y + 2*t^7.92*y + t^8.52*y - t^8.87*y	2*g2^2*t^2.16 + g2^8*t^2.64 + (2*t^2.76)/g2^3 + g2^3*t^3.24 + (2*t^3.84)/g2^2 + 4*g2^4*t^4.32 + t^4.44/g2^7 + t^4.68/(g1^3*g2^15) + g1^3*g2^7*t^4.68 + 2*g2^10*t^4.79 + (5*t^4.92)/g2 + t^5.16/(g1^3*g2^9) + g1^3*g2^13*t^5.16 + g2^16*t^5.27 + 3*g2^5*t^5.4 + (3*t^5.52)/g2^6 + t^5.76/(g1^3*g2^14) + g1^3*g2^8*t^5.76 + g2^11*t^5.87 + 3*t^6. + t^6.36/(g1^3*g2^19) + g1^3*g2^3*t^6.36 + 7*g2^6*t^6.48 + (4*t^6.6)/g2^5 + (2*t^6.84)/(g1^3*g2^13) + 2*g1^3*g2^9*t^6.84 + 4*g2^12*t^6.95 + 9*g2*t^7.08 + (2*t^7.21)/g2^10 + (2*t^7.32)/(g1^3*g2^7) + 2*g1^3*g2^15*t^7.32 + 2*g2^18*t^7.43 + (2*t^7.44)/(g1^3*g2^18) + 2*g1^3*g2^4*t^7.44 + 6*g2^7*t^7.56 + (8*t^7.68)/g2^4 + t^7.79/(g1^3*g2) + g1^3*g2^21*t^7.79 + g2^24*t^7.91 + (2*t^7.92)/(g1^3*g2^12) + 2*g1^3*g2^10*t^7.92 + 3*g2^13*t^8.03 + 6*g2^2*t^8.16 + (5*t^8.29)/g2^9 + t^8.4/(g1^3*g2^6) + g1^3*g2^16*t^8.4 + g2^19*t^8.51 + (3*t^8.52)/(g1^3*g2^17) + 3*g1^3*g2^5*t^8.52 + 9*g2^8*t^8.64 + (3*t^8.76)/g2^3 + t^8.89/g2^14 - (g2*t^4.08)/y - (g2^2*t^5.16)/y - (2*g2^3*t^6.24)/y - (g2^9*t^6.71)/y - t^6.84/(g2^2*y) - (g2^4*t^7.32)/y + (g2^10*t^7.79)/y + (2*t^7.92)/(g2*y) + t^8.52/(g2^6*y) - (g2^11*t^8.87)/y - g2*t^4.08*y - g2^2*t^5.16*y - 2*g2^3*t^6.24*y - g2^9*t^6.71*y - (t^6.84*y)/g2^2 - g2^4*t^7.32*y + g2^10*t^7.79*y + (2*t^7.92*y)/g2 + (t^8.52*y)/g2^6 - g2^11*t^8.87*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
61081	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$	1.2407	1.4509	0.8551	[X:[1.4545], M:[0.9091, 0.9091], q:[0.7576, 0.2121], qb:[0.5152, 0.3333], phi:[0.3636]]	2*t^2.18 + 3*t^2.73 + t^3.27 + 2*t^3.82 + 5*t^4.36 + 2*t^4.64 + 7*t^4.91 + 2*t^5.18 + 7*t^5.45 + 2*t^5.73 + 4*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y	detail	{a: 26421/21296, c: 15449/10648, X1: 16/11, M1: 10/11, M2: 10/11, q1: 25/33, q2: 7/33, qb1: 17/33, qb2: 1/3, phi1: 4/11}

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
57484	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$	1.2331	1.4401	0.8563	[X:[1.4718], M:[0.8962], q:[0.7389, 0.2107], qb:[0.5252, 0.3176], phi:[0.3679]]	2*t^2.21 + 2*t^2.69 + t^3.17 + t^3.31 + 2*t^3.79 + t^4.27 + 4*t^4.42 + 2*t^4.58 + 5*t^4.9 + 2*t^5.21 + 5*t^5.38 + t^5.52 + 2*t^5.69 + 2*t^5.86 + 3*t^6. - t^4.1/y - t^5.21/y - t^4.1*y - t^5.21*y	detail