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
46654	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$	0.7058	0.934	0.7557	[M:[0.8301, 0.6794, 0.6699, 0.6699], q:[0.75, 0.4199], qb:[0.4103, 0.4199], phi:[0.5]]	[M:[[-1], [4], [1], [1]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	-1	2*t^2.01 + t^2.038 + 3*t^2.49 + t^2.519 + t^3. + t^3.481 + t^3.51 + 6*t^4.019 + 2*t^4.048 + t^4.076 + 6*t^4.5 + 5*t^4.529 + t^4.557 + 6*t^4.981 + 5*t^5.01 + 2*t^5.038 + 5*t^5.49 + 4*t^5.519 + t^5.548 + t^5.971 - t^6. + 9*t^6.029 + 6*t^6.057 + 2*t^6.086 + t^6.115 - t^6.481 + 15*t^6.51 + 12*t^6.538 + 5*t^6.567 + t^6.596 + 9*t^6.99 + 15*t^7.019 + 7*t^7.048 + 2*t^7.076 + 6*t^7.471 + 10*t^7.5 + 12*t^7.529 + 5*t^7.557 + t^7.586 + 4*t^7.981 - 2*t^8.01 + 17*t^8.038 + 9*t^8.067 + 6*t^8.096 + 2*t^8.124 + t^8.153 - 10*t^8.49 + 16*t^8.519 + 24*t^8.548 + 12*t^8.576 + 5*t^8.605 + t^8.634 - 5*t^8.971 - t^4.5/y - (2*t^6.51)/y - t^6.538/y - t^6.99/y + t^7.019/y + (2*t^7.048)/y + (6*t^7.5)/y + (5*t^7.529)/y + t^7.557/y + (3*t^7.981)/y + (6*t^8.01)/y + t^8.038/y + t^8.462/y + (7*t^8.49)/y + t^8.519/y - t^8.548/y - t^8.576/y + (3*t^8.971)/y - t^4.5*y - 2*t^6.51*y - t^6.538*y - t^6.99*y + t^7.019*y + 2*t^7.048*y + 6*t^7.5*y + 5*t^7.529*y + t^7.557*y + 3*t^7.981*y + 6*t^8.01*y + t^8.038*y + t^8.462*y + 7*t^8.49*y + t^8.519*y - t^8.548*y - t^8.576*y + 3*t^8.971*y	2*g1*t^2.01 + g1^4*t^2.038 + (3*t^2.49)/g1 + g1^2*t^2.519 + t^3. + t^3.481/g1^2 + g1*t^3.51 + 6*g1^2*t^4.019 + 2*g1^5*t^4.048 + g1^8*t^4.076 + 6*t^4.5 + 5*g1^3*t^4.529 + g1^6*t^4.557 + (6*t^4.981)/g1^2 + 5*g1*t^5.01 + 2*g1^4*t^5.038 + (5*t^5.49)/g1 + 4*g1^2*t^5.519 + g1^5*t^5.548 + t^5.971/g1^3 - t^6. + 9*g1^3*t^6.029 + 6*g1^6*t^6.057 + 2*g1^9*t^6.086 + g1^12*t^6.115 - t^6.481/g1^2 + 15*g1*t^6.51 + 12*g1^4*t^6.538 + 5*g1^7*t^6.567 + g1^10*t^6.596 + (9*t^6.99)/g1 + 15*g1^2*t^7.019 + 7*g1^5*t^7.048 + 2*g1^8*t^7.076 + (6*t^7.471)/g1^3 + 10*t^7.5 + 12*g1^3*t^7.529 + 5*g1^6*t^7.557 + g1^9*t^7.586 + (4*t^7.981)/g1^2 - 2*g1*t^8.01 + 17*g1^4*t^8.038 + 9*g1^7*t^8.067 + 6*g1^10*t^8.096 + 2*g1^13*t^8.124 + g1^16*t^8.153 - (10*t^8.49)/g1 + 16*g1^2*t^8.519 + 24*g1^5*t^8.548 + 12*g1^8*t^8.576 + 5*g1^11*t^8.605 + g1^14*t^8.634 - (5*t^8.971)/g1^3 - t^4.5/y - (2*g1*t^6.51)/y - (g1^4*t^6.538)/y - t^6.99/(g1*y) + (g1^2*t^7.019)/y + (2*g1^5*t^7.048)/y + (6*t^7.5)/y + (5*g1^3*t^7.529)/y + (g1^6*t^7.557)/y + (3*t^7.981)/(g1^2*y) + (6*g1*t^8.01)/y + (g1^4*t^8.038)/y + t^8.462/(g1^4*y) + (7*t^8.49)/(g1*y) + (g1^2*t^8.519)/y - (g1^5*t^8.548)/y - (g1^8*t^8.576)/y + (3*t^8.971)/(g1^3*y) - t^4.5*y - 2*g1*t^6.51*y - g1^4*t^6.538*y - (t^6.99*y)/g1 + g1^2*t^7.019*y + 2*g1^5*t^7.048*y + 6*t^7.5*y + 5*g1^3*t^7.529*y + g1^6*t^7.557*y + (3*t^7.981*y)/g1^2 + 6*g1*t^8.01*y + g1^4*t^8.038*y + (t^8.462*y)/g1^4 + (7*t^8.49*y)/g1 + g1^2*t^8.519*y - g1^5*t^8.548*y - g1^8*t^8.576*y + (3*t^8.971*y)/g1^3

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
47129	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	0.6963	0.915	0.7609	[M:[0.8, 0.8, 0.7, 0.7], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]]	2*t^2.1 + 4*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 6*t^4.2 + 8*t^4.5 + 12*t^4.8 + 6*t^5.1 + 7*t^5.4 + 5*t^5.7 - t^4.5/y - t^4.5*y	detail	{a: 22281/32000, c: 29281/32000, M1: 4/5, M2: 4/5, M3: 7/10, M4: 7/10, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2}
46964	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$	0.6925	0.9093	0.7615	[M:[0.8231, 0.7074, 0.6769, 0.6769, 1.1463], q:[0.75, 0.4269], qb:[0.3963, 0.4269], phi:[0.5]]	2*t^2.031 + t^2.122 + 3*t^2.469 + t^3. + 2*t^3.439 + t^3.531 + 6*t^4.061 + 2*t^4.153 + t^4.244 + 6*t^4.5 + 3*t^4.592 + 6*t^4.939 + 2*t^5.031 + t^5.122 + 7*t^5.469 + 4*t^5.561 + t^5.653 + 4*t^5.908 - 2*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
46150	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	0.685	0.8925	0.7675	[M:[0.8301, 0.6797, 0.6699], q:[0.75, 0.4199], qb:[0.4101, 0.4199], phi:[0.5]]	t^2.01 + t^2.039 + 3*t^2.49 + t^2.52 + t^3. + t^3.48 + t^3.51 + t^3.99 + 4*t^4.02 + t^4.049 + t^4.078 + 3*t^4.5 + 4*t^4.529 + t^4.559 + 6*t^4.98 + 4*t^5.01 + 2*t^5.039 + 4*t^5.49 + 3*t^5.52 + t^5.549 + t^5.971 - t^4.5/y - t^4.5*y	detail