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
57570	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$	0.6798	0.8677	0.7835	[M:[1.2046, 0.8011, 0.7954, 0.8125, 0.784, 0.8182, 0.7954], q:[0.4063, 0.3892], qb:[0.7926, 0.7983], phi:[0.4034]]	[M:[[-8], [-2], [8], [-22], [28], [-32], [8]], q:[[-11], [19]], qb:[[13], [3]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-2	t^2.352 + 2*t^2.386 + t^2.403 + t^2.421 + t^2.438 + t^2.455 + t^3.545 + t^3.597 + t^4.704 + 2*t^4.738 + 2*t^4.756 + 5*t^4.773 + 2*t^4.79 + 5*t^4.807 + 3*t^4.824 + 3*t^4.841 + 2*t^4.858 + 2*t^4.875 + t^4.892 + t^4.909 + t^5.897 + 2*t^5.932 + t^5.949 + 2*t^5.966 + 2*t^5.983 - 2*t^6. - t^6.051 + t^7.056 + 3*t^7.091 + 2*t^7.108 + 4*t^7.125 + 4*t^7.142 + 8*t^7.159 + 4*t^7.176 + 9*t^7.193 + 6*t^7.21 + 7*t^7.227 + 7*t^7.244 + 7*t^7.262 + 4*t^7.279 + 4*t^7.296 + 3*t^7.313 + 2*t^7.33 + t^7.347 + t^7.364 + t^8.249 + 2*t^8.284 + 2*t^8.301 + 5*t^8.318 + t^8.352 + 2*t^8.369 - 5*t^8.386 - 2*t^8.403 - 4*t^8.421 - 5*t^8.438 - 4*t^8.455 - 2*t^8.472 - 2*t^8.489 - t^8.506 - t^4.21/y - t^6.562/y - t^6.597/y - t^6.614/y - t^6.631/y - t^6.648/y - t^6.665/y + (2*t^7.738)/y + (2*t^7.756)/y + (3*t^7.773)/y + (4*t^7.79)/y + (4*t^7.807)/y + (4*t^7.824)/y + (3*t^7.841)/y + (3*t^7.858)/y + t^7.875/y + t^7.892/y + t^8.897/y - t^8.914/y + (2*t^8.932)/y + t^8.949/y + t^8.983/y - t^4.21*y - t^6.562*y - t^6.597*y - t^6.614*y - t^6.631*y - t^6.648*y - t^6.665*y + 2*t^7.738*y + 2*t^7.756*y + 3*t^7.773*y + 4*t^7.79*y + 4*t^7.807*y + 4*t^7.824*y + 3*t^7.841*y + 3*t^7.858*y + t^7.875*y + t^7.892*y + t^8.897*y - t^8.914*y + 2*t^8.932*y + t^8.949*y + t^8.983*y	g1^28*t^2.352 + 2*g1^8*t^2.386 + t^2.403/g1^2 + t^2.421/g1^12 + t^2.438/g1^22 + t^2.455/g1^32 + g1^32*t^3.545 + g1^2*t^3.597 + g1^56*t^4.704 + 2*g1^36*t^4.738 + 2*g1^26*t^4.756 + 5*g1^16*t^4.773 + 2*g1^6*t^4.79 + (5*t^4.807)/g1^4 + (3*t^4.824)/g1^14 + (3*t^4.841)/g1^24 + (2*t^4.858)/g1^34 + (2*t^4.875)/g1^44 + t^4.892/g1^54 + t^4.909/g1^64 + g1^60*t^5.897 + 2*g1^40*t^5.932 + g1^30*t^5.949 + 2*g1^20*t^5.966 + 2*g1^10*t^5.983 - 2*t^6. - t^6.051/g1^30 + g1^84*t^7.056 + 3*g1^64*t^7.091 + 2*g1^54*t^7.108 + 4*g1^44*t^7.125 + 4*g1^34*t^7.142 + 8*g1^24*t^7.159 + 4*g1^14*t^7.176 + 9*g1^4*t^7.193 + (6*t^7.21)/g1^6 + (7*t^7.227)/g1^16 + (7*t^7.244)/g1^26 + (7*t^7.262)/g1^36 + (4*t^7.279)/g1^46 + (4*t^7.296)/g1^56 + (3*t^7.313)/g1^66 + (2*t^7.33)/g1^76 + t^7.347/g1^86 + t^7.364/g1^96 + g1^88*t^8.249 + 2*g1^68*t^8.284 + 2*g1^58*t^8.301 + 5*g1^48*t^8.318 + g1^28*t^8.352 + 2*g1^18*t^8.369 - 5*g1^8*t^8.386 - (2*t^8.403)/g1^2 - (4*t^8.421)/g1^12 - (5*t^8.438)/g1^22 - (4*t^8.455)/g1^32 - (2*t^8.472)/g1^42 - (2*t^8.489)/g1^52 - t^8.506/g1^62 - t^4.21/(g1^6*y) - (g1^22*t^6.562)/y - (g1^2*t^6.597)/y - t^6.614/(g1^8*y) - t^6.631/(g1^18*y) - t^6.648/(g1^28*y) - t^6.665/(g1^38*y) + (2*g1^36*t^7.738)/y + (2*g1^26*t^7.756)/y + (3*g1^16*t^7.773)/y + (4*g1^6*t^7.79)/y + (4*t^7.807)/(g1^4*y) + (4*t^7.824)/(g1^14*y) + (3*t^7.841)/(g1^24*y) + (3*t^7.858)/(g1^34*y) + t^7.875/(g1^44*y) + t^7.892/(g1^54*y) + (g1^60*t^8.897)/y - (g1^50*t^8.914)/y + (2*g1^40*t^8.932)/y + (g1^30*t^8.949)/y + (g1^10*t^8.983)/y - (t^4.21*y)/g1^6 - g1^22*t^6.562*y - g1^2*t^6.597*y - (t^6.614*y)/g1^8 - (t^6.631*y)/g1^18 - (t^6.648*y)/g1^28 - (t^6.665*y)/g1^38 + 2*g1^36*t^7.738*y + 2*g1^26*t^7.756*y + 3*g1^16*t^7.773*y + 4*g1^6*t^7.79*y + (4*t^7.807*y)/g1^4 + (4*t^7.824*y)/g1^14 + (3*t^7.841*y)/g1^24 + (3*t^7.858*y)/g1^34 + (t^7.875*y)/g1^44 + (t^7.892*y)/g1^54 + g1^60*t^8.897*y - g1^50*t^8.914*y + 2*g1^40*t^8.932*y + g1^30*t^8.949*y + g1^10*t^8.983*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
58657	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{5}^{2}$ + ${ }M_{6}X_{1}$ + ${ }M_{4}X_{2}$	0.5809	0.7149	0.8127	[X:[1.4286, 1.3571], M:[1.1429, 0.7857, 0.8571, 0.6429, 1.0, 0.5714, 0.8571], q:[0.3214, 0.5357], qb:[0.8929, 0.8214], phi:[0.3571]]	t^2.143 + t^2.357 + 2*t^2.571 + t^3. + t^3.643 + t^4.071 + 2*t^4.286 + t^4.5 + 4*t^4.714 + t^4.929 + 5*t^5.143 + t^5.571 - 2*t^6. - t^4.071/y - t^4.071*y	detail	{a: 12753/21952, c: 15693/21952, X1: 10/7, X2: 19/14, M1: 8/7, M2: 11/14, M3: 6/7, M4: 9/14, M5: 1, M6: 4/7, M7: 6/7, q1: 9/28, q2: 15/28, qb1: 25/28, qb2: 23/28, phi1: 5/14}

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
55914	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$	0.6631	0.8382	0.7912	[M:[1.2027, 0.8007, 0.7973, 0.8073, 0.7907, 0.8107], q:[0.4037, 0.3937], qb:[0.7957, 0.799], phi:[0.402]]	t^2.372 + t^2.392 + t^2.402 + t^2.412 + t^2.422 + t^2.432 + t^3.568 + t^3.598 + t^3.608 + t^4.744 + t^4.764 + 2*t^4.774 + 3*t^4.784 + t^4.794 + 4*t^4.804 + 2*t^4.814 + 2*t^4.824 + 2*t^4.834 + 2*t^4.844 + t^4.854 + t^4.864 + t^5.94 + t^5.96 + t^5.97 + 3*t^5.98 + t^5.99 - t^6. - t^4.206/y - t^4.206*y	detail