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
56140	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$	0.6798	0.8679	0.7833	[M:[0.7907, 0.8093, 1.2, 0.8, 0.8, 0.7814, 0.8093], q:[0.8, 0.4093], qb:[0.3907, 0.8], phi:[0.4]]	[M:[[1], [-1], [0], [0], [0], [2], [-1]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$	${}$	-2	t^2.344 + t^2.372 + 3*t^2.4 + 2*t^2.428 + t^3.544 + t^3.628 + t^4.689 + t^4.717 + 4*t^4.744 + 5*t^4.772 + 9*t^4.8 + 6*t^4.828 + 3*t^4.856 + t^5.889 + t^5.917 + 2*t^5.944 + t^5.972 - 2*t^6. + t^6.028 + t^6.056 + t^7.033 + t^7.061 + 5*t^7.089 + 6*t^7.117 + 10*t^7.144 + 12*t^7.172 + 17*t^7.2 + 13*t^7.228 + 8*t^7.256 + 4*t^7.283 + t^8.233 + t^8.261 + 3*t^8.289 + 3*t^8.317 + t^8.344 - 5*t^8.372 - 9*t^8.4 - 6*t^8.428 - 2*t^8.456 + t^8.483 - t^4.2/y - t^6.544/y - t^6.572/y - (2*t^6.6)/y - (2*t^6.628)/y + t^7.717/y + (3*t^7.744)/y + (7*t^7.772)/y + (7*t^7.8)/y + (7*t^7.828)/y + (2*t^7.856)/y - t^8.972/y - t^4.2*y - t^6.544*y - t^6.572*y - 2*t^6.6*y - 2*t^6.628*y + t^7.717*y + 3*t^7.744*y + 7*t^7.772*y + 7*t^7.8*y + 7*t^7.828*y + 2*t^7.856*y - t^8.972*y	g1^2*t^2.344 + g1*t^2.372 + 3*t^2.4 + (2*t^2.428)/g1 + g1^2*t^3.544 + t^3.628/g1 + g1^4*t^4.689 + g1^3*t^4.717 + 4*g1^2*t^4.744 + 5*g1*t^4.772 + 9*t^4.8 + (6*t^4.828)/g1 + (3*t^4.856)/g1^2 + g1^4*t^5.889 + g1^3*t^5.917 + 2*g1^2*t^5.944 + g1*t^5.972 - 2*t^6. + t^6.028/g1 + t^6.056/g1^2 + g1^6*t^7.033 + g1^5*t^7.061 + 5*g1^4*t^7.089 + 6*g1^3*t^7.117 + 10*g1^2*t^7.144 + 12*g1*t^7.172 + 17*t^7.2 + (13*t^7.228)/g1 + (8*t^7.256)/g1^2 + (4*t^7.283)/g1^3 + g1^6*t^8.233 + g1^5*t^8.261 + 3*g1^4*t^8.289 + 3*g1^3*t^8.317 + g1^2*t^8.344 - 5*g1*t^8.372 - 9*t^8.4 - (6*t^8.428)/g1 - (2*t^8.456)/g1^2 + t^8.483/g1^3 - t^4.2/y - (g1^2*t^6.544)/y - (g1*t^6.572)/y - (2*t^6.6)/y - (2*t^6.628)/(g1*y) + (g1^3*t^7.717)/y + (3*g1^2*t^7.744)/y + (7*g1*t^7.772)/y + (7*t^7.8)/y + (7*t^7.828)/(g1*y) + (2*t^7.856)/(g1^2*y) - (g1*t^8.972)/y - t^4.2*y - g1^2*t^6.544*y - g1*t^6.572*y - 2*t^6.6*y - (2*t^6.628*y)/g1 + g1^3*t^7.717*y + 3*g1^2*t^7.744*y + 7*g1*t^7.772*y + 7*t^7.8*y + (7*t^7.828*y)/g1 + (2*t^7.856*y)/g1^2 - g1*t^8.972*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
58285	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$	0.6434	0.8247	0.7802	[M:[0.9, 0.7, 1.2, 0.8, 0.8, 1.0, 0.7], q:[0.8, 0.3], qb:[0.5, 0.8], phi:[0.4]]	2*t^2.1 + 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 4*t^4.2 + 6*t^4.5 + 9*t^4.8 + 5*t^5.1 + 5*t^5.4 + 2*t^5.7 - t^6. - t^4.2/y - t^4.2*y	detail	{a: 20589/32000, c: 26389/32000, M1: 9/10, M2: 7/10, M3: 6/5, M4: 4/5, M5: 4/5, M6: 1, M7: 7/10, q1: 4/5, q2: 3/10, qb1: 1/2, qb2: 4/5, phi1: 2/5}
58291	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6962	0.8967	0.7764	[M:[0.8077, 0.7923, 1.2, 0.8, 0.8, 0.8154, 0.7923, 0.7846], q:[0.8, 0.3923], qb:[0.4077, 0.8], phi:[0.4]]	t^2.354 + 2*t^2.377 + 3*t^2.4 + t^2.423 + t^2.446 + t^3.577 + t^4.707 + 2*t^4.73 + 6*t^4.754 + 7*t^4.777 + 10*t^4.8 + 5*t^4.823 + 4*t^4.846 + t^4.87 + t^4.893 + t^5.93 + t^5.954 + t^5.977 - 2*t^6. - t^4.2/y - t^4.2*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
50875	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}$	0.6642	0.8416	0.7892	[M:[0.7807, 0.8193, 1.2, 0.8, 0.8, 0.7613], q:[0.8, 0.4193], qb:[0.3807, 0.8], phi:[0.4]]	t^2.284 + t^2.342 + 3*t^2.4 + t^2.458 + t^3.484 + t^3.542 + t^3.658 + t^4.568 + t^4.626 + 4*t^4.684 + 4*t^4.742 + 8*t^4.8 + 3*t^4.858 + t^4.916 + t^5.768 + 2*t^5.826 + 3*t^5.884 + 3*t^5.942 - t^6. - t^4.2/y - t^4.2*y	detail