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
46177	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6381	0.8072	0.7905	[M:[1.1472, 0.7056, 1.1472, 0.7944], q:[0.75, 0.3972], qb:[0.3972, 0.4556], phi:[0.5]]	[M:[[1, 0], [0, 1], [-1, -1], [0, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	${}M_{2}\phi_{1}\tilde{q}_{1}^{2}$	-3	t^2.117 + 2*t^2.383 + t^3. + 4*t^3.442 + 2*t^3.883 + 2*t^4.058 + 2*t^4.233 + 2*t^4.5 + 3*t^4.767 + t^5.117 + 2*t^5.383 + 4*t^5.558 + 6*t^5.825 - 3*t^6. + 4*t^6.267 + 2*t^6.35 + 4*t^6.442 + 2*t^6.617 + 11*t^6.883 - 2*t^7.058 + 4*t^7.15 + t^7.233 + 4*t^7.325 + 2*t^7.5 + 4*t^7.675 + 5*t^7.767 + 6*t^7.942 - 2*t^8.117 + 8*t^8.208 + 2*t^8.292 - 6*t^8.383 + 3*t^8.467 + 6*t^8.65 + 2*t^8.733 + 4*t^8.825 - t^4.5/y - t^6.617/y - t^6.883/y + (2*t^7.058)/y + (2*t^7.5)/y + t^7.767/y - (2*t^7.942)/y + (2*t^8.117)/y + (3*t^8.383)/y + (4*t^8.558)/y - t^8.733/y + (8*t^8.825)/y - t^4.5*y - t^6.617*y - t^6.883*y + 2*t^7.058*y + 2*t^7.5*y + t^7.767*y - 2*t^7.942*y + 2*t^8.117*y + 3*t^8.383*y + 4*t^8.558*y - t^8.733*y + 8*t^8.825*y	g2*t^2.117 + (2*t^2.383)/g2 + t^3. + 2*g1*t^3.442 + (2*t^3.442)/(g1*g2) + g1^2*t^3.883 + t^3.883/(g1^2*g2^2) + t^4.058/g1 + g1*g2*t^4.058 + 2*g2^2*t^4.233 + 2*t^4.5 + (3*t^4.767)/g2^2 + g2*t^5.117 + (2*t^5.383)/g2 + (2*t^5.558)/g1 + 2*g1*g2*t^5.558 + (3*t^5.825)/(g1*g2^2) + (3*g1*t^5.825)/g2 - 3*t^6. + (2*t^6.267)/(g1^2*g2^3) + (2*g1^2*t^6.267)/g2 + 2*g2^3*t^6.35 + 2*g1*t^6.442 + (2*t^6.442)/(g1*g2) + 2*g2*t^6.617 + 3*g1^2*t^6.883 + (3*t^6.883)/(g1^2*g2^2) + (5*t^6.883)/g2 - t^7.058/g1 - g1*g2*t^7.058 + (4*t^7.15)/g2^3 + g2^2*t^7.233 + 2*g1^3*t^7.325 + (2*t^7.325)/(g1^3*g2^3) + 2*t^7.5 + (2*g2*t^7.675)/g1 + 2*g1*g2^2*t^7.675 + g1^4*t^7.767 + t^7.767/(g1^4*g2^4) + (3*t^7.767)/g2^2 + 2*g1*t^7.942 + t^7.942/(g1^3*g2^2) + (2*t^7.942)/(g1*g2) + g1^3*g2*t^7.942 + t^8.117/g1^2 - 4*g2*t^8.117 + g1^2*g2^2*t^8.117 + (4*t^8.208)/(g1*g2^3) + (4*g1*t^8.208)/g2^2 + (g2^2*t^8.292)/g1 + g1*g2^3*t^8.292 - (6*t^8.383)/g2 + 3*g2^4*t^8.467 + (3*t^8.65)/(g1^2*g2^4) + (3*g1^2*t^8.65)/g2^2 + 2*g2^2*t^8.733 + (2*t^8.825)/(g1*g2^2) + (2*g1*t^8.825)/g2 - t^4.5/y - (g2*t^6.617)/y - t^6.883/(g2*y) + t^7.058/(g1*y) + (g1*g2*t^7.058)/y + (2*t^7.5)/y + t^7.767/(g2^2*y) - (g1*t^7.942)/y - t^7.942/(g1*g2*y) + (2*g2*t^8.117)/y + (3*t^8.383)/(g2*y) + (2*t^8.558)/(g1*y) + (2*g1*g2*t^8.558)/y - (g2^2*t^8.733)/y + (4*t^8.825)/(g1*g2^2*y) + (4*g1*t^8.825)/(g2*y) - t^4.5*y - g2*t^6.617*y - (t^6.883*y)/g2 + (t^7.058*y)/g1 + g1*g2*t^7.058*y + 2*t^7.5*y + (t^7.767*y)/g2^2 - g1*t^7.942*y - (t^7.942*y)/(g1*g2) + 2*g2*t^8.117*y + (3*t^8.383*y)/g2 + (2*t^8.558*y)/g1 + 2*g1*g2*t^8.558*y - g2^2*t^8.733*y + (4*t^8.825*y)/(g1*g2^2) + (4*g1*t^8.825*y)/g2

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
46452	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	0.6587	0.8471	0.7777	[M:[1.1557, 0.7022, 1.1422, 0.7978, 0.6887], q:[0.75, 0.3922], qb:[0.4057, 0.4522], phi:[0.5]]	t^2.066 + t^2.107 + 2*t^2.393 + t^3. + 2*t^3.426 + 2*t^3.467 + t^3.853 + t^4.033 + t^4.074 + t^4.132 + t^4.173 + 2*t^4.213 + 2*t^4.46 + 2*t^4.5 + 3*t^4.787 + t^5.066 + t^5.107 + 2*t^5.393 + 2*t^5.493 + 4*t^5.533 + 2*t^5.574 + 3*t^5.82 + 3*t^5.86 + t^5.919 - 3*t^6. - t^4.5/y - t^4.5*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
45994	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	0.6218	0.7781	0.7992	[M:[1.1561, 0.6878, 1.1561], q:[0.75, 0.4061], qb:[0.4061, 0.4378], phi:[0.5]]	t^2.063 + t^2.437 + t^3. + 4*t^3.468 + t^3.563 + 2*t^3.937 + 2*t^4.032 + 2*t^4.127 + t^4.5 + t^4.873 + t^5.063 + t^5.437 + 4*t^5.532 + t^5.627 + 2*t^5.905 - 2*t^6. - t^4.5/y - t^4.5*y	detail