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
79606	Sp2s2nf1	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}^{2}S_{1}$	0.9628	1.1046	0.8716	[X:[1.5], M:[1.5, 1.2307], q:[0.2596, 0.2404], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]]	[X:[[0]], M:[[0], [2]], q:[[-1], [1]], qb:[], phi:[], S:[[0], [0]], Sb:[], A:[], Ab:[]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}q_{2}S_{1}^{2}$, ${ }S_{1}^{4}$, ${ }M_{2}$, ${ }q_{2}^{2}S_{1}^{3}$, ${ }q_{1}q_{2}S_{1}^{3}$, ${ }q_{1}^{2}S_{1}^{3}$, ${ }q_{2}^{4}S_{1}^{2}$, ${ }q_{1}q_{2}^{3}S_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}^{2}q_{2}^{2}S_{1}^{2}$, ${ }X_{1}$, ${ }q_{1}q_{2}^{3}S_{1}^{3}$, ${ }q_{2}^{2}S_{1}^{5}$, ${ }q_{1}^{2}q_{2}^{2}S_{1}^{3}$, ${ }q_{1}q_{2}S_{1}^{5}$, ${ }M_{2}q_{2}^{2}S_{1}$, ${ }q_{2}^{4}S_{1}^{4}$, ${ }M_{2}q_{1}q_{2}S_{1}$, ${ }q_{1}q_{2}^{3}S_{1}^{4}$	${2}q_{1}^{2}q_{2}^{2}S_{1}^{4}$, ${ }q_{1}q_{2}S_{1}^{6}$, ${ }S_{1}^{8}$	2	t^2.192 + t^2.25 + 2*t^3. + 2*t^3.692 + t^3.75 + t^3.808 + t^4.384 + t^4.442 + 3*t^4.5 + 2*t^5.192 + 2*t^5.25 + 2*t^5.884 + 2*t^5.942 + 2*t^6. + t^6.576 + t^6.634 + 5*t^6.692 + 3*t^6.75 + 5*t^7.384 + 3*t^7.442 + 6*t^7.5 + t^7.616 + 2*t^8.076 + 2*t^8.134 + 5*t^8.192 + t^8.25 + t^8.768 + t^8.826 + 5*t^8.884 + t^8.942 - t^8.942/y^2 - t^3.75/y - t^5.25/y - t^5.942/y - t^6./y - t^6.75/y - t^7.442/y - t^7.5/y - t^8.134/y + t^8.192/y + (2*t^8.884)/y + t^8.942/y - t^3.75*y - t^5.25*y - t^5.942*y - t^6.*y - t^6.75*y - t^7.442*y - t^7.5*y - t^8.134*y + t^8.192*y + 2*t^8.884*y + t^8.942*y - t^8.942*y^2	g1^2*t^2.192 + t^2.25 + 2*t^3. + 2*g1^2*t^3.692 + t^3.75 + t^3.808/g1^2 + g1^4*t^4.384 + g1^2*t^4.442 + 3*t^4.5 + 2*g1^2*t^5.192 + 2*t^5.25 + 2*g1^4*t^5.884 + 2*g1^2*t^5.942 + 2*t^6. + g1^6*t^6.576 + g1^4*t^6.634 + 5*g1^2*t^6.692 + 3*t^6.75 + 5*g1^4*t^7.384 + 3*g1^2*t^7.442 + 6*t^7.5 + t^7.616/g1^4 + 2*g1^6*t^8.076 + 2*g1^4*t^8.134 + 5*g1^2*t^8.192 + t^8.25 + g1^8*t^8.768 + g1^6*t^8.826 + 5*g1^4*t^8.884 + g1^2*t^8.942 - (g1^2*t^8.942)/y^2 - t^3.75/y - t^5.25/y - (g1^2*t^5.942)/y - t^6./y - t^6.75/y - (g1^2*t^7.442)/y - t^7.5/y - (g1^4*t^8.134)/y + (g1^2*t^8.192)/y + (2*g1^4*t^8.884)/y + (g1^2*t^8.942)/y - t^3.75*y - t^5.25*y - g1^2*t^5.942*y - t^6.*y - t^6.75*y - g1^2*t^7.442*y - t^7.5*y - g1^4*t^8.134*y + g1^2*t^8.192*y + 2*g1^4*t^8.884*y + g1^2*t^8.942*y - g1^2*t^8.942*y^2

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
79704	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}^{2}S_{1}$ + ${ }M_{3}q_{1}q_{2}S_{1}$	0.9438	1.07	0.882	[X:[1.5], M:[1.5, 1.2307, 1.25], q:[0.2596, 0.2404], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]]	t^2.192 + 2*t^3. + 2*t^3.692 + 2*t^3.75 + t^3.808 + t^4.384 + 2*t^4.5 + 2*t^5.192 + 2*t^5.884 + t^5.942 + t^6. - t^3.75/y - t^5.25/y - t^5.942/y - t^3.75*y - t^5.25*y - t^5.942*y	detail
79703	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}^{2}S_{1}$ + ${ }M_{3}q_{2}^{2}S_{1}$	0.9434	1.0684	0.883	[X:[1.5], M:[1.5, 1.25, 1.25], q:[0.25, 0.25], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]]	t^2.25 + 2*t^3. + 5*t^3.75 + 3*t^4.5 + 2*t^5.25 + 3*t^6. - t^3.75/y - t^5.25/y - t^6./y - t^3.75*y - t^5.25*y - t^6.*y	detail	{a: 483/512, c: 547/512, X1: 3/2, M1: 3/2, M2: 5/4, M3: 5/4, q1: 1/4, q2: 1/4, S1: 1/4, S2: 1}
79648	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}^{2}S_{1}^{3}$ + ${ }M_{3}q_{1}q_{2}S_{1}$	0.9817	1.1388	0.862	[X:[1.5], M:[1.5, 0.7362, 1.25], q:[0.2569, 0.2431], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]]	2*t^2.208 + t^2.292 + 2*t^3. + t^3.708 + 2*t^3.75 + 3*t^4.417 + 4*t^4.5 + t^4.583 + 4*t^5.208 + 2*t^5.292 + 2*t^5.917 + 3*t^5.958 + t^6. - t^3.75/y - t^5.25/y - (2*t^5.958)/y - t^3.75*y - t^5.25*y - 2*t^5.958*y	detail
79651	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}^{2}S_{1}^{3}$ + ${ }M_{3}q_{1}^{2}S_{1}$	0.9828	1.143	0.8598	[X:[1.5], M:[1.5, 0.7183, 1.2183], q:[0.2659, 0.2341], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]]	2*t^2.155 + t^2.25 + 2*t^3. + 2*t^3.655 + t^3.75 + 3*t^4.31 + 2*t^4.405 + 3*t^4.5 + 4*t^5.155 + 2*t^5.25 + 4*t^5.81 + 3*t^5.905 + t^6. - t^3.75/y - t^5.25/y - (2*t^5.905)/y - t^6./y - t^3.75*y - t^5.25*y - 2*t^5.905*y - t^6.*y	detail
79670	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}^{2}S_{1}^{3}$ + ${ }M_{3}q_{2}^{2}S_{1}^{3}$	1.0195	1.207	0.8447	[X:[1.5], M:[1.5, 0.75, 0.75], q:[0.25, 0.25], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]]	5*t^2.25 + 2*t^3. + t^3.75 + 17*t^4.5 + 10*t^5.25 + 3*t^6. - t^3.75/y - t^5.25/y - (5*t^6.)/y - t^3.75*y - t^5.25*y - 5*t^6.*y	detail	{a: 261/256, c: 309/256, X1: 3/2, M1: 3/2, M2: 3/4, M3: 3/4, q1: 1/4, q2: 1/4, S1: 1/4, S2: 1}

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
79523	Sp2s2nf1	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$	0.9814	1.1377	0.8627	[X:[1.5], M:[1.5], q:[0.25, 0.25], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]]	3*t^2.25 + 2*t^3. + 3*t^3.75 + 8*t^4.5 + 6*t^5.25 + 7*t^6. - t^3.75/y - t^5.25/y - (3*t^6.)/y - t^3.75*y - t^5.25*y - 3*t^6.*y	detail	{a: 1005/1024, c: 1165/1024, X1: 3/2, M1: 3/2, q1: 1/4, q2: 1/4, S1: 1/4, S2: 1}