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
512	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	0.7466	0.9183	0.813	[M:[0.8355, 0.8355, 0.8355, 1.0, 0.8355], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]]	[M:[[-2, -2], [-6, -2], [2, -2], [0, 0], [-2, -2]], q:[[4, 2], [-2, 0]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$	${}$	-7	5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. + t^6.494 + 11*t^6.76 + 16*t^7.253 + 35*t^7.519 + 8*t^7.747 + t^7.974 - 2*t^8.013 - 5*t^8.24 - 30*t^8.506 - 3*t^8.734 - t^4.253/y - (5*t^6.76)/y + (5*t^7.747)/y + (10*t^8.013)/y + (5*t^8.506)/y - t^4.253*y - 5*t^6.76*y + 5*t^7.747*y + 10*t^8.013*y + 5*t^8.506*y	t^2.506/(g1^6*g2^2) + (3*t^2.506)/(g1^2*g2^2) + (g1^2*t^2.506)/g2^2 + t^3. + g1^4*g2^4*t^3.987 + t^4.253/(g1^5*g2) + t^4.253/(g1*g2) + (g1^3*t^4.253)/g2 + (g2*t^4.747)/g1^3 + 2*g1*g2*t^4.747 + g1^5*g2*t^4.747 + (3*t^5.013)/g2^4 + t^5.013/(g1^12*g2^4) + (3*t^5.013)/(g1^8*g2^4) + (7*t^5.013)/(g1^4*g2^4) + (g1^4*t^5.013)/g2^4 + (g2^3*t^5.24)/g1 + g1^3*g2^3*t^5.24 + g1^7*g2^3*t^5.24 + t^5.506/(g1^2*g2^2) - 3*t^6. - (2*t^6.)/g1^4 - 2*g1^4*t^6. + g1^2*g2^2*t^6.494 + t^6.76/(g1^11*g2^3) + (3*t^6.76)/(g1^7*g2^3) + (3*t^6.76)/(g1^3*g2^3) + (3*g1*t^6.76)/g2^3 + (g1^5*t^6.76)/g2^3 + t^7.253/(g1^9*g2) + (4*t^7.253)/(g1^5*g2) + (6*t^7.253)/(g1*g2) + (4*g1^3*t^7.253)/g2 + (g1^7*t^7.253)/g2 + t^7.519/(g1^18*g2^6) + (3*t^7.519)/(g1^14*g2^6) + (7*t^7.519)/(g1^10*g2^6) + (13*t^7.519)/(g1^6*g2^6) + (7*t^7.519)/(g1^2*g2^6) + (3*g1^2*t^7.519)/g2^6 + (g1^6*t^7.519)/g2^6 + (g2*t^7.747)/g1^7 + (2*g2*t^7.747)/g1^3 + 2*g1*g2*t^7.747 + 2*g1^5*g2*t^7.747 + g1^9*g2*t^7.747 + g1^8*g2^8*t^7.974 - t^8.013/g2^4 - t^8.013/(g1^8*g2^4) - (g2^3*t^8.24)/g1 - 3*g1^3*g2^3*t^8.24 - g1^7*g2^3*t^8.24 - t^8.506/(g1^10*g2^2) - (8*t^8.506)/(g1^6*g2^2) - (12*t^8.506)/(g1^2*g2^2) - (8*g1^2*t^8.506)/g2^2 - (g1^6*t^8.506)/g2^2 - g1*g2^5*t^8.734 - g1^5*g2^5*t^8.734 - g1^9*g2^5*t^8.734 - t^4.253/(g1*g2*y) - t^6.76/(g1^7*g2^3*y) - (3*t^6.76)/(g1^3*g2^3*y) - (g1*t^6.76)/(g2^3*y) + (g2*t^7.747)/(g1^3*y) + (3*g1*g2*t^7.747)/y + (g1^5*g2*t^7.747)/y + (3*t^8.013)/(g2^4*y) + (3*t^8.013)/(g1^8*g2^4*y) + (4*t^8.013)/(g1^4*g2^4*y) + t^8.506/(g1^6*g2^2*y) + (3*t^8.506)/(g1^2*g2^2*y) + (g1^2*t^8.506)/(g2^2*y) - (t^4.253*y)/(g1*g2) - (t^6.76*y)/(g1^7*g2^3) - (3*t^6.76*y)/(g1^3*g2^3) - (g1*t^6.76*y)/g2^3 + (g2*t^7.747*y)/g1^3 + 3*g1*g2*t^7.747*y + g1^5*g2*t^7.747*y + (3*t^8.013*y)/g2^4 + (3*t^8.013*y)/(g1^8*g2^4) + (4*t^8.013*y)/(g1^4*g2^4) + (t^8.506*y)/(g1^6*g2^2) + (3*t^8.506*y)/(g1^2*g2^2) + (g1^2*t^8.506*y)/g2^2

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
798	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$	0.7292	0.8958	0.814	[M:[0.8889, 1.0, 0.7778, 1.0, 0.8889], q:[0.5556, 0.5556], qb:[0.4444, 0.6667], phi:[0.4444]]	t^2.333 + 3*t^2.667 + 2*t^3. + t^3.667 + t^4. + 2*t^4.333 + 5*t^4.667 + 5*t^5. + 8*t^5.333 + 2*t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y	detail	{a: 35/48, c: 43/48, M1: 8/9, M2: 1, M3: 7/9, M4: 1, M5: 8/9, q1: 5/9, q2: 5/9, qb1: 4/9, qb2: 2/3, phi1: 4/9}
801	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.7674	0.9598	0.7995	[M:[0.8347, 0.8347, 0.8347, 1.0, 0.8347, 0.6694], q:[0.6653, 0.5], qb:[0.5, 0.6653], phi:[0.4174]]	t^2.008 + 5*t^2.504 + t^3. + t^4.017 + 3*t^4.252 + 5*t^4.512 + 4*t^4.748 + 16*t^5.008 + 3*t^5.244 + t^5.504 - 7*t^6. - t^4.252/y - t^4.252*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
328	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$	0.7331	0.8939	0.8201	[M:[0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 0.6461], phi:[0.427]]	4*t^2.562 + t^3. + t^3.438 + t^3.876 + 3*t^4.281 + 4*t^4.719 + 10*t^5.124 + 3*t^5.157 - 3*t^6. - t^4.281/y - t^4.281*y	detail