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
2811	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	0.6866	0.8655	0.7932	[M:[1.0, 0.8385, 1.1615, 0.677, 0.7578], q:[0.4472, 0.5528], qb:[0.3913, 0.7702], phi:[0.4596]]	[M:[[0], [-8], [8], [-16], [-12]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$	${}$	-1	t^2.031 + t^2.273 + t^2.516 + t^2.758 + t^2.832 + t^3. + t^3.484 + t^3.652 + t^3.894 + 2*t^4.062 + t^4.211 + t^4.304 + t^4.379 + 2*t^4.547 + t^4.696 + 2*t^4.789 + t^4.863 + 3*t^5.031 + t^5.106 + 2*t^5.273 + t^5.348 + 2*t^5.516 + t^5.59 + t^5.665 + 2*t^5.758 + 2*t^5.925 - t^6. + 2*t^6.093 + t^6.168 + t^6.242 + 2*t^6.335 + 2*t^6.41 + t^6.484 + 3*t^6.578 + 2*t^6.652 + t^6.727 + 4*t^6.82 + 2*t^6.894 + t^6.969 + t^7.043 + 4*t^7.062 + t^7.137 + t^7.211 + 4*t^7.304 + t^7.379 + t^7.528 + 5*t^7.547 + t^7.621 + t^7.696 + t^7.714 + 4*t^7.789 + t^7.863 + 2*t^7.957 + 2*t^8.031 + 3*t^8.124 + t^8.18 + t^8.199 + t^8.273 + 2*t^8.366 + t^8.422 + 3*t^8.441 + t^8.497 - t^8.516 + 4*t^8.609 + 3*t^8.683 + t^8.758 - 3*t^8.832 + 5*t^8.851 + t^8.907 + 4*t^8.925 - t^4.379/y - t^6.41/y - t^6.652/y - t^7.137/y + t^7.304/y + t^7.547/y + t^7.621/y + (2*t^7.789)/y + t^7.863/y + (2*t^8.031)/y + (2*t^8.106)/y + (2*t^8.273)/y + (2*t^8.348)/y - t^8.441/y + (2*t^8.516)/y + t^8.59/y + (2*t^8.758)/y + t^8.832/y + t^8.925/y - t^4.379*y - t^6.41*y - t^6.652*y - t^7.137*y + t^7.304*y + t^7.547*y + t^7.621*y + 2*t^7.789*y + t^7.863*y + 2*t^8.031*y + 2*t^8.106*y + 2*t^8.273*y + 2*t^8.348*y - t^8.441*y + 2*t^8.516*y + t^8.59*y + 2*t^8.758*y + t^8.832*y + t^8.925*y	t^2.031/g1^16 + t^2.273/g1^12 + t^2.516/g1^8 + t^2.758/g1^4 + g1^22*t^2.832 + t^3. + g1^8*t^3.484 + t^3.652/g1^14 + t^3.894/g1^10 + (2*t^4.062)/g1^32 + g1^20*t^4.211 + t^4.304/g1^28 + t^4.379/g1^2 + (2*t^4.547)/g1^24 + g1^28*t^4.696 + (2*t^4.789)/g1^20 + g1^6*t^4.863 + (3*t^5.031)/g1^16 + g1^10*t^5.106 + (2*t^5.273)/g1^12 + g1^14*t^5.348 + (2*t^5.516)/g1^8 + g1^18*t^5.59 + g1^44*t^5.665 + (2*t^5.758)/g1^4 + (2*t^5.925)/g1^26 - t^6. + (2*t^6.093)/g1^48 + t^6.168/g1^22 + g1^4*t^6.242 + (2*t^6.335)/g1^44 + (2*t^6.41)/g1^18 + g1^8*t^6.484 + (3*t^6.578)/g1^40 + (2*t^6.652)/g1^14 + g1^12*t^6.727 + (4*t^6.82)/g1^36 + (2*t^6.894)/g1^10 + g1^16*t^6.969 + g1^42*t^7.043 + (4*t^7.062)/g1^32 + t^7.137/g1^6 + g1^20*t^7.211 + (4*t^7.304)/g1^28 + t^7.379/g1^2 + g1^50*t^7.528 + (5*t^7.547)/g1^24 + g1^2*t^7.621 + g1^28*t^7.696 + t^7.714/g1^46 + (4*t^7.789)/g1^20 + g1^6*t^7.863 + (2*t^7.957)/g1^42 + (2*t^8.031)/g1^16 + (3*t^8.124)/g1^64 + g1^36*t^8.18 + t^8.199/g1^38 + t^8.273/g1^12 + (2*t^8.366)/g1^60 + g1^40*t^8.422 + (3*t^8.441)/g1^34 + g1^66*t^8.497 - t^8.516/g1^8 + (4*t^8.609)/g1^56 + (3*t^8.683)/g1^30 + t^8.758/g1^4 - 3*g1^22*t^8.832 + (5*t^8.851)/g1^52 + g1^48*t^8.907 + (4*t^8.925)/g1^26 - t^4.379/(g1^2*y) - t^6.41/(g1^18*y) - t^6.652/(g1^14*y) - t^7.137/(g1^6*y) + t^7.304/(g1^28*y) + t^7.547/(g1^24*y) + (g1^2*t^7.621)/y + (2*t^7.789)/(g1^20*y) + (g1^6*t^7.863)/y + (2*t^8.031)/(g1^16*y) + (2*g1^10*t^8.106)/y + (2*t^8.273)/(g1^12*y) + (2*g1^14*t^8.348)/y - t^8.441/(g1^34*y) + (2*t^8.516)/(g1^8*y) + (g1^18*t^8.59)/y + (2*t^8.758)/(g1^4*y) + (g1^22*t^8.832)/y + t^8.925/(g1^26*y) - (t^4.379*y)/g1^2 - (t^6.41*y)/g1^18 - (t^6.652*y)/g1^14 - (t^7.137*y)/g1^6 + (t^7.304*y)/g1^28 + (t^7.547*y)/g1^24 + g1^2*t^7.621*y + (2*t^7.789*y)/g1^20 + g1^6*t^7.863*y + (2*t^8.031*y)/g1^16 + 2*g1^10*t^8.106*y + (2*t^8.273*y)/g1^12 + 2*g1^14*t^8.348*y - (t^8.441*y)/g1^34 + (2*t^8.516*y)/g1^8 + g1^18*t^8.59*y + (2*t^8.758*y)/g1^4 + g1^22*t^8.832*y + (t^8.925*y)/g1^26

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
3338	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$	0.7071	0.9046	0.7817	[M:[1.0, 0.8398, 1.1602, 0.6797, 0.7598, 0.7002], q:[0.4497, 0.5503], qb:[0.3901, 0.77], phi:[0.46]]	t^2.039 + t^2.101 + t^2.279 + t^2.52 + t^2.76 + t^2.821 + t^3. + t^3.48 + t^3.659 + 2*t^4.078 + t^4.14 + 2*t^4.201 + t^4.318 + 2*t^4.38 + 2*t^4.559 + t^4.62 + t^4.682 + 2*t^4.799 + 2*t^4.86 + t^4.922 + 3*t^5.039 + 2*t^5.101 + 2*t^5.279 + t^5.341 + 2*t^5.52 + 2*t^5.581 + t^5.642 + 3*t^5.76 + t^5.939 - t^6. - t^4.38/y - t^4.38*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
1798	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.668	0.8316	0.8032	[M:[1.0, 0.8427, 1.1573, 0.6854], q:[0.4551, 0.5449], qb:[0.3876, 0.7697], phi:[0.4607]]	t^2.056 + t^2.528 + t^2.764 + t^2.798 + t^3. + t^3.472 + t^3.674 + t^3.708 + t^3.91 + 2*t^4.113 + t^4.18 + t^4.382 + t^4.584 + t^4.651 + t^4.82 + t^4.854 + 2*t^5.056 + t^5.292 + t^5.326 + 2*t^5.528 + t^5.562 + t^5.595 + 2*t^5.764 + t^5.966 - t^6. - t^4.382/y - t^4.382*y	detail