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
57394	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	1.4491	1.6312	0.8884	[X:[1.3648], M:[0.8988], q:[0.5224, 0.4683], qb:[0.5788, 0.5247], phi:[0.3176]]	[X:[[0, 4]], M:[[3, -7]], q:[[-2, 6], [1, 5]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$	-1	t^2.696 + t^2.859 + t^2.979 + 2*t^3.141 + t^3.932 + 3*t^4.094 + t^4.257 + t^4.885 + 2*t^5.047 + t^5.209 + t^5.33 + t^5.393 + t^5.492 + t^5.555 + t^5.675 + t^5.717 + 2*t^5.838 + t^5.958 - t^6. + 2*t^6.12 - 2*t^6.162 + 4*t^6.283 + t^6.445 + t^6.628 + 3*t^6.791 + t^6.911 + 2*t^6.953 + 6*t^7.073 - t^7.115 + 7*t^7.236 + 2*t^7.398 + t^7.56 + 2*t^7.581 + t^7.743 + 2*t^7.864 + t^7.906 + 6*t^8.026 + t^8.089 + 8*t^8.189 + t^8.251 + t^8.309 + 2*t^8.351 + t^8.372 + t^8.414 + 3*t^8.471 + t^8.534 + t^8.576 + 2*t^8.634 + t^8.655 - 3*t^8.696 + 3*t^8.817 - 3*t^8.859 + t^8.937 + 4*t^8.979 + t^8.859/y^2 - t^3.953/y - t^4.906/y - t^6.649/y - t^6.811/y - t^6.932/y - (2*t^7.094)/y - t^7.602/y - t^7.764/y - t^7.885/y - (2*t^8.047)/y + t^8.555/y + t^8.675/y + (2*t^8.838)/y - t^3.953*y - t^4.906*y - t^6.649*y - t^6.811*y - t^6.932*y - 2*t^7.094*y - t^7.602*y - t^7.764*y - t^7.885*y - 2*t^8.047*y + t^8.555*y + t^8.675*y + 2*t^8.838*y + t^8.859*y^2	(g1^3*t^2.696)/g2^7 + t^2.859/g2^6 + g1^3*g2^5*t^2.979 + 2*g2^6*t^3.141 + g1^3*g2^3*t^3.932 + 3*g2^4*t^4.094 + (g2^5*t^4.257)/g1^3 + g1^3*g2*t^4.885 + 2*g2^2*t^5.047 + (g2^3*t^5.209)/g1^3 + g2^14*t^5.33 + (g1^6*t^5.393)/g2^14 + (g2^15*t^5.492)/g1^3 + (g1^3*t^5.555)/g2^13 + (g1^6*t^5.675)/g2^2 + t^5.717/g2^12 + (2*g1^3*t^5.838)/g2 + g1^6*g2^10*t^5.958 - t^6. + 2*g1^3*g2^11*t^6.12 - (2*g2*t^6.162)/g1^3 + 4*g2^12*t^6.283 + (g2^13*t^6.445)/g1^3 + (g1^6*t^6.628)/g2^4 + (3*g1^3*t^6.791)/g2^3 + g1^6*g2^8*t^6.911 + (2*t^6.953)/g2^2 + 6*g1^3*g2^9*t^7.073 - t^7.115/(g1^3*g2) + 7*g2^10*t^7.236 + (2*g2^11*t^7.398)/g1^3 + (g2^12*t^7.56)/g1^6 + (2*g1^6*t^7.581)/g2^6 + (g1^3*t^7.743)/g2^5 + 2*g1^6*g2^6*t^7.864 + t^7.906/g2^4 + 6*g1^3*g2^7*t^8.026 + (g1^9*t^8.089)/g2^21 + 8*g2^8*t^8.189 + (g1^6*t^8.251)/g2^20 + g1^3*g2^19*t^8.309 + (2*g2^9*t^8.351)/g1^3 + (g1^9*t^8.372)/g2^9 + (g1^3*t^8.414)/g2^19 + 3*g2^20*t^8.471 + (g1^6*t^8.534)/g2^8 + t^8.576/g2^18 + (2*g2^21*t^8.634)/g1^3 + g1^9*g2^3*t^8.655 - (3*g1^3*t^8.696)/g2^7 + 3*g1^6*g2^4*t^8.817 - (3*t^8.859)/g2^6 + g1^9*g2^15*t^8.937 + 4*g1^3*g2^5*t^8.979 + t^8.859/(g2^6*y^2) - t^3.953/(g2^2*y) - t^4.906/(g2^4*y) - (g1^3*t^6.649)/(g2^9*y) - t^6.811/(g2^8*y) - (g1^3*g2^3*t^6.932)/y - (2*g2^4*t^7.094)/y - (g1^3*t^7.602)/(g2^11*y) - t^7.764/(g2^10*y) - (g1^3*g2*t^7.885)/y - (2*g2^2*t^8.047)/y + (g1^3*t^8.555)/(g2^13*y) + (g1^6*t^8.675)/(g2^2*y) + (2*g1^3*t^8.838)/(g2*y) - (t^3.953*y)/g2^2 - (t^4.906*y)/g2^4 - (g1^3*t^6.649*y)/g2^9 - (t^6.811*y)/g2^8 - g1^3*g2^3*t^6.932*y - 2*g2^4*t^7.094*y - (g1^3*t^7.602*y)/g2^11 - (t^7.764*y)/g2^10 - g1^3*g2*t^7.885*y - 2*g2^2*t^8.047*y + (g1^3*t^8.555*y)/g2^13 + (g1^6*t^8.675*y)/g2^2 + (2*g1^3*t^8.838*y)/g2 + (t^8.859*y^2)/g2^6

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
58525	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.4378	1.6275	0.8835	[X:[1.3287], M:[0.9931], q:[0.4475, 0.4337], qb:[0.5594, 0.5456], phi:[0.3356]]	t^2.94 + 3*t^2.98 + t^3.02 + t^3.94 + 3*t^3.99 + t^4.03 + 2*t^4.95 + 3*t^4.99 + t^5.03 + t^5.88 + 3*t^5.92 + 7*t^5.96 + t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*y	detail
58527	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$	1.4452	1.6223	0.8908	[X:[1.3701], M:[0.9449], q:[0.4935, 0.4935], qb:[0.5617, 0.5617], phi:[0.315]]	2*t^2.83 + 3*t^3.17 + 5*t^4.11 + 4*t^5.06 + 2*t^5.39 + 3*t^5.67 - t^3.94/y - t^4.89/y - t^3.94*y - t^4.89*y	detail
58530	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.4456	1.6298	0.887	[X:[1.3521], M:[0.9131, 1.0281], q:[0.5086, 0.4499], qb:[0.5783, 0.5195], phi:[0.324]]	t^2.74 + t^2.91 + 3*t^3.08 + t^3.88 + 3*t^4.06 + t^4.23 + t^4.85 + 2*t^5.03 + 2*t^5.2 + t^5.37 + t^5.48 + t^5.65 + 3*t^5.82 + 3*t^5.99 - 3*t^6. - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y	detail
58528	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{6}$	1.4437	1.6353	0.8828	[X:[1.3333], M:[0.9346], q:[0.488, 0.4226], qb:[0.5774, 0.512], phi:[0.3333]]	2*t^2.8 + 3*t^3. + t^3.8 + 3*t^4. + t^4.2 + t^4.8 + 3*t^5. + 2*t^5.2 + 3*t^5.61 + 5*t^5.8 + 4*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail
58515	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$	0.9001	0.9393	0.9583	[X:[1.6383, 1.4575], M:[1.085], q:[0.4895, 1.032], qb:[0.4256, 0.968], phi:[0.1808]]	t^3.25 + t^3.29 + t^3.83 + t^4.37 + t^4.92 + t^5.46 - 2*t^6. - t^3.54/y - t^4.08/y - t^3.54*y - t^4.08*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
47897	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.4497	1.6322	0.8882	[X:[1.3628], M:[0.9023], q:[0.5128, 0.4792], qb:[0.585, 0.5115], phi:[0.3186]]	t^2.707 + t^2.867 + t^2.972 + t^3.073 + t^3.192 + t^3.928 + t^4.029 + t^4.088 + t^4.148 + t^4.249 + t^4.884 + t^4.984 + t^5.104 + t^5.205 + t^5.369 + t^5.414 + t^5.47 + t^5.574 + t^5.679 + t^5.735 + t^5.779 + t^5.839 + t^5.94 + t^5.944 - 3*t^6. - t^3.956/y - t^4.912/y - t^3.956*y - t^4.912*y	detail