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
57953	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$	1.4502	1.651	0.8784	[X:[1.368], M:[0.79, 0.79], q:[0.4429, 0.5936], qb:[0.4511, 0.6165], phi:[0.316]]	[X:[[0, 4]], M:[[0, -5], [0, -5]], q:[[2, 5], [-1, 5]], qb:[[-2, 2], [1, 0]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$	${}$	-3	2*t^2.37 + t^2.68 + t^2.84 + t^3.13 + t^3.18 + t^4.08 + t^4.1 + t^4.13 + 2*t^4.58 + 3*t^4.74 + t^5.03 + 2*t^5.05 + t^5.07 + 2*t^5.21 + t^5.36 + t^5.39 + 2*t^5.5 + 2*t^5.53 + t^5.55 + t^5.69 + t^5.82 + t^5.84 + t^5.86 + t^5.98 - 3*t^6. + t^6.02 + t^6.27 + t^6.31 + t^6.33 + t^6.36 + t^6.45 + 2*t^6.47 + t^6.76 + 2*t^6.79 + t^6.81 + t^6.83 + t^6.9 + t^6.93 + 3*t^6.95 + t^6.97 + 4*t^7.11 + t^7.22 + t^7.24 + 3*t^7.26 + 2*t^7.28 + t^7.3 + t^7.4 + 4*t^7.42 + 3*t^7.58 + 3*t^7.71 + 2*t^7.73 + 3*t^7.76 + 2*t^7.87 + 3*t^7.9 + 2*t^7.92 + t^8.05 + 2*t^8.06 + t^8.07 + 2*t^8.16 + 3*t^8.19 + 5*t^8.21 + 2*t^8.23 + t^8.25 - t^8.33 + t^8.35 - 5*t^8.37 + t^8.39 + t^8.5 + 2*t^8.52 + t^8.53 + t^8.54 + t^8.56 + 2*t^8.64 + 3*t^8.66 - t^8.68 + 3*t^8.7 + t^8.73 + t^8.84 + t^8.95 + t^8.97 + t^8.99 + t^8.84/y^2 - t^3.95/y - t^4.9/y - (2*t^6.32)/y - t^6.63/y - t^6.79/y - t^7.08/y - t^7.13/y - (2*t^7.27)/y - t^8.03/y + (2*t^8.05)/y - t^8.07/y + (2*t^8.21)/y + (2*t^8.5)/y + t^8.53/y + (2*t^8.55)/y - (3*t^8.69)/y + t^8.82/y + t^8.86/y - t^3.95*y - t^4.9*y - 2*t^6.32*y - t^6.63*y - t^6.79*y - t^7.08*y - t^7.13*y - 2*t^7.27*y - t^8.03*y + 2*t^8.05*y - t^8.07*y + 2*t^8.21*y + 2*t^8.5*y + t^8.53*y + 2*t^8.55*y - 3*t^8.69*y + t^8.82*y + t^8.86*y + t^8.84*y^2	(2*t^2.37)/g2^5 + g2^7*t^2.68 + t^2.84/g2^6 + (g2^7*t^3.13)/g1^3 + g1^3*g2^5*t^3.18 + (g2^5*t^4.08)/g1^3 + g2^4*t^4.1 + g1^3*g2^3*t^4.13 + 2*g2^3*t^4.58 + (3*t^4.74)/g2^10 + (g2^3*t^5.03)/g1^3 + 2*g2^2*t^5.05 + g1^3*g2*t^5.07 + (2*t^5.21)/g2^11 + g2^14*t^5.36 + g1^3*g2^13*t^5.39 + (2*g2^2*t^5.5)/g1^3 + 2*g2*t^5.53 + g1^3*t^5.55 + t^5.69/g2^12 + (g2^14*t^5.82)/g1^3 + g2^13*t^5.84 + g1^3*g2^12*t^5.86 + (g2*t^5.98)/g1^3 - 3*t^6. + (g1^3*t^6.02)/g2 + (g2^14*t^6.27)/g1^6 + g2^12*t^6.31 + g1^3*g2^11*t^6.33 + g1^6*g2^10*t^6.36 + t^6.45/g1^3 + (2*t^6.47)/g2 + (g2^12*t^6.76)/g1^3 + 2*g2^11*t^6.79 + g1^3*g2^10*t^6.81 + g1^6*g2^9*t^6.83 + t^6.9/g1^6 + t^6.93/(g1^3*g2) + (3*t^6.95)/g2^2 + (g1^3*t^6.97)/g2^3 + (4*t^7.11)/g2^15 + (g2^12*t^7.22)/g1^6 + (g2^11*t^7.24)/g1^3 + 3*g2^10*t^7.26 + 2*g1^3*g2^9*t^7.28 + g1^6*g2^8*t^7.3 + t^7.4/(g1^3*g2^2) + (4*t^7.42)/g2^3 + (3*t^7.58)/g2^16 + (3*g2^10*t^7.71)/g1^3 + 2*g2^9*t^7.73 + 3*g1^3*g2^8*t^7.76 + (2*t^7.87)/(g1^3*g2^3) + (3*t^7.9)/g2^4 + (2*g1^3*t^7.92)/g2^5 + g2^21*t^8.05 + (2*t^8.06)/g2^17 + g1^3*g2^20*t^8.07 + (2*g2^10*t^8.16)/g1^6 + (3*g2^9*t^8.19)/g1^3 + 5*g2^8*t^8.21 + 2*g1^3*g2^7*t^8.23 + g1^6*g2^6*t^8.25 - t^8.33/(g1^6*g2^3) + t^8.35/(g1^3*g2^4) - (5*t^8.37)/g2^5 + (g1^3*t^8.39)/g2^6 + (g2^21*t^8.5)/g1^3 + 2*g2^20*t^8.52 + t^8.53/g2^18 + g1^3*g2^19*t^8.54 + g1^6*g2^18*t^8.56 + (2*g2^9*t^8.64)/g1^6 + (3*g2^8*t^8.66)/g1^3 - g2^7*t^8.68 + 3*g1^3*g2^6*t^8.7 + g1^6*g2^5*t^8.73 + t^8.84/g2^6 + (g2^21*t^8.95)/g1^6 + (g2^20*t^8.97)/g1^3 + g2^19*t^8.99 + t^8.84/(g2^6*y^2) - t^3.95/(g2^2*y) - t^4.9/(g2^4*y) - (2*t^6.32)/(g2^7*y) - (g2^5*t^6.63)/y - t^6.79/(g2^8*y) - (g2^5*t^7.08)/(g1^3*y) - (g1^3*g2^3*t^7.13)/y - (2*t^7.27)/(g2^9*y) - (g2^3*t^8.03)/(g1^3*y) + (2*g2^2*t^8.05)/y - (g1^3*g2*t^8.07)/y + (2*t^8.21)/(g2^11*y) + (2*g2^2*t^8.5)/(g1^3*y) + (g2*t^8.53)/y + (2*g1^3*t^8.55)/y - (3*t^8.69)/(g2^12*y) + (g2^14*t^8.82)/(g1^3*y) + (g1^3*g2^12*t^8.86)/y - (t^3.95*y)/g2^2 - (t^4.9*y)/g2^4 - (2*t^6.32*y)/g2^7 - g2^5*t^6.63*y - (t^6.79*y)/g2^8 - (g2^5*t^7.08*y)/g1^3 - g1^3*g2^3*t^7.13*y - (2*t^7.27*y)/g2^9 - (g2^3*t^8.03*y)/g1^3 + 2*g2^2*t^8.05*y - g1^3*g2*t^8.07*y + (2*t^8.21*y)/g2^11 + (2*g2^2*t^8.5*y)/g1^3 + g2*t^8.53*y + 2*g1^3*t^8.55*y - (3*t^8.69*y)/g2^12 + (g2^14*t^8.82*y)/g1^3 + g1^3*g2^12*t^8.86*y + (t^8.84*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
60996	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.3984	1.6199	0.8632	[X:[1.2727], M:[0.9091, 0.9091], q:[0.3361, 0.4683], qb:[0.3912, 0.6226], phi:[0.3636]]	t^2.18 + t^2.58 + 2*t^2.73 + t^2.88 + t^3.27 + t^3.67 + t^3.82 + t^3.97 + 3*t^4.36 + t^4.51 + 2*t^4.76 + 3*t^4.91 + 2*t^5.06 + t^5.16 + 2*t^5.31 + 6*t^5.45 + 2*t^5.6 + t^5.75 + 2*t^5.85 + t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y	detail	{a: 327573/234256, c: 189741/117128, X1: 14/11, M1: 10/11, M2: 10/11, q1: 122/363, q2: 170/363, qb1: 142/363, qb2: 226/363, phi1: 4/11}
61232	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.4487	1.6458	0.8802	[X:[1.3846], M:[0.7692, 0.7692], q:[0.4615, 0.6154], qb:[0.4615, 0.6154], phi:[0.3077]]	2*t^2.31 + 2*t^2.77 + 2*t^3.23 + 3*t^4.15 + 5*t^4.62 + 6*t^5.08 + 8*t^5.54 + 2*t^6. - t^3.92/y - t^4.85/y - t^3.92*y - t^4.85*y	detail	{a: 50925/35152, c: 28927/17576, X1: 18/13, M1: 10/13, M2: 10/13, q1: 6/13, q2: 8/13, qb1: 6/13, qb2: 8/13, phi1: 4/13}
61244	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$	1.4305	1.618	0.8841	[X:[1.4286], M:[0.7143, 0.7143], q:[0.5108, 0.6732], qb:[0.4892, 0.6126], phi:[0.2857]]	2*t^2.14 + t^2.57 + t^3. + t^3.37 + t^3.49 + t^4.23 + 4*t^4.29 + t^4.34 + 4*t^4.71 + t^5.08 + 3*t^5.14 + t^5.2 + t^5.51 + 2*t^5.57 + 2*t^5.63 + 2*t^5.94 - 2*t^6. - t^3.86/y - t^4.71/y - (2*t^6.)/y - t^3.86*y - t^4.71*y - 2*t^6.*y	detail	{a: 690867/482944, c: 781419/482944, X1: 10/7, M1: 5/7, M2: 5/7, q1: 118/231, q2: 311/462, qb1: 113/231, qb2: 283/462, phi1: 2/7}

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
57302	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.4334	1.623	0.8832	[X:[1.3613], M:[0.7984], q:[0.4354, 0.5847], qb:[0.4469, 0.6169], phi:[0.3194]]	t^2.395 + t^2.647 + t^2.874 + t^3.095 + t^3.157 + t^3.605 + t^4.053 + t^4.084 + t^4.115 + 2*t^4.563 + t^4.79 + t^5.011 + t^5.042 + t^5.073 + t^5.269 + t^5.293 + t^5.324 + t^5.49 + 2*t^5.521 + t^5.741 + t^5.748 + t^5.773 + t^5.804 + t^5.969 - 2*t^6. - t^3.958/y - t^4.916/y - t^3.958*y - t^4.916*y	detail