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
1577	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$	0.6961	0.8548	0.8144	[M:[1.0437, 0.9337, 1.0113, 0.966, 1.034, 0.9563, 0.9887], q:[0.4895, 0.4668], qb:[0.4992, 0.5672], phi:[0.4943]]	[M:[[16, 8], [-12, -12], [-2, 2], [6, -6], [-6, 6], [-16, -8], [2, -2]], q:[[-10, -2], [-6, -6]], qb:[[12, 0], [0, 12]], phi:[[1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$	${}$	-3	t^2.801 + t^2.869 + t^2.898 + 2*t^2.966 + t^3.102 + t^3.17 + t^4.284 + t^4.352 + t^4.381 + t^4.42 + t^4.449 + t^4.478 + t^4.585 + t^4.653 + t^4.682 + t^4.886 + t^5.602 + t^5.67 + t^5.738 + 2*t^5.767 + 2*t^5.835 + 2*t^5.864 + 2*t^5.932 + t^5.971 - 3*t^6. - t^6.029 + t^6.039 + t^6.068 - t^6.097 + 2*t^6.136 - t^6.233 + t^6.272 - t^6.301 + t^6.34 + t^7.085 + 2*t^7.153 + t^7.182 + 2*t^7.221 + 3*t^7.25 + t^7.279 + t^7.289 + 2*t^7.318 + 3*t^7.347 + t^7.376 + 2*t^7.386 + 2*t^7.444 + t^7.454 - 2*t^7.483 - 2*t^7.512 + 2*t^7.522 + 2*t^7.551 + t^7.59 + t^7.619 + 2*t^7.648 - 2*t^7.716 + 2*t^7.755 + t^7.823 + 2*t^7.852 - t^7.92 + t^7.988 + t^8.056 + t^8.403 + t^8.471 + t^8.539 + 2*t^8.568 + t^8.607 + 3*t^8.636 + t^8.665 + 3*t^8.704 + 3*t^8.733 + t^8.762 + t^8.772 - t^8.801 + 3*t^8.83 + 2*t^8.84 + t^8.859 - 4*t^8.869 - t^8.898 + t^8.908 + t^8.937 + t^8.956 - 7*t^8.966 - 3*t^8.995 - t^4.483/y - t^7.284/y - t^7.449/y + t^7.517/y + t^7.682/y + t^8.67/y + t^8.699/y + (3*t^8.767)/y + (2*t^8.835)/y + (2*t^8.864)/y + t^8.903/y + t^8.932/y + (2*t^8.971)/y - t^4.483*y - t^7.284*y - t^7.449*y + t^7.517*y + t^7.682*y + t^8.67*y + t^8.699*y + 3*t^8.767*y + 2*t^8.835*y + 2*t^8.864*y + t^8.903*y + t^8.932*y + 2*t^8.971*y	t^2.801/(g1^12*g2^12) + t^2.869/(g1^16*g2^8) + (g1^6*t^2.898)/g2^6 + (2*g1^2*t^2.966)/g2^2 + (g2^6*t^3.102)/g1^6 + (g2^10*t^3.17)/g1^10 + t^4.284/(g1^11*g2^13) + t^4.352/(g1^15*g2^9) + (g1^7*t^4.381)/g2^7 + t^4.42/(g1^19*g2^5) + (g1^3*t^4.449)/g2^3 + (g1^25*t^4.478)/g2 + (g2^5*t^4.585)/g1^5 + (g2^9*t^4.653)/g1^9 + g1^13*g2^11*t^4.682 + g1*g2^23*t^4.886 + t^5.602/(g1^24*g2^24) + t^5.67/(g1^28*g2^20) + t^5.738/(g1^32*g2^16) + (2*t^5.767)/(g1^10*g2^14) + (2*t^5.835)/(g1^14*g2^10) + (2*g1^8*t^5.864)/g2^8 + (2*g1^4*t^5.932)/g2^4 + t^5.971/(g1^22*g2^2) - 3*t^6. - g1^22*g2^2*t^6.029 + (g2^2*t^6.039)/g1^26 + (g2^4*t^6.068)/g1^4 - g1^18*g2^6*t^6.097 + (2*g2^8*t^6.136)/g1^8 - g1^10*g2^14*t^6.233 + (g2^16*t^6.272)/g1^16 - g1^6*g2^18*t^6.301 + (g2^20*t^6.34)/g1^20 + t^7.085/(g1^23*g2^25) + (2*t^7.153)/(g1^27*g2^21) + t^7.182/(g1^5*g2^19) + (2*t^7.221)/(g1^31*g2^17) + (3*t^7.25)/(g1^9*g2^15) + (g1^13*t^7.279)/g2^13 + t^7.289/(g1^35*g2^13) + (2*t^7.318)/(g1^13*g2^11) + (3*g1^9*t^7.347)/g2^9 + (g1^31*t^7.376)/g2^7 + (2*t^7.386)/(g1^17*g2^7) + (2*g1^27*t^7.444)/g2^3 + t^7.454/(g1^21*g2^3) - (2*g1*t^7.483)/g2 - 2*g1^23*g2*t^7.512 + (2*g2*t^7.522)/g1^25 + (2*g2^3*t^7.551)/g1^3 + (g2^5*t^7.59)/g1^29 + (g2^7*t^7.619)/g1^7 + 2*g1^15*g2^9*t^7.648 - 2*g1^11*g2^13*t^7.716 + (2*g2^15*t^7.755)/g1^15 + (g2^19*t^7.823)/g1^19 + 2*g1^3*g2^21*t^7.852 - (g2^25*t^7.92)/g1 + (g2^29*t^7.988)/g1^5 + (g2^33*t^8.056)/g1^9 + t^8.403/(g1^36*g2^36) + t^8.471/(g1^40*g2^32) + t^8.539/(g1^44*g2^28) + (2*t^8.568)/(g1^22*g2^26) + t^8.607/(g1^48*g2^24) + (3*t^8.636)/(g1^26*g2^22) + t^8.665/(g1^4*g2^20) + (3*t^8.704)/(g1^30*g2^18) + (3*t^8.733)/(g1^8*g2^16) + (g1^14*t^8.762)/g2^14 + t^8.772/(g1^34*g2^14) - t^8.801/(g1^12*g2^12) + (3*g1^10*t^8.83)/g2^10 + (2*t^8.84)/(g1^38*g2^10) + (g1^32*t^8.859)/g2^8 - (4*t^8.869)/(g1^16*g2^8) - (g1^6*t^8.898)/g2^6 + t^8.908/(g1^42*g2^6) + t^8.937/(g1^20*g2^4) + (g1^50*t^8.956)/g2^2 - (7*g1^2*t^8.966)/g2^2 - 3*g1^24*t^8.995 - (g1*t^4.483)/(g2*y) - t^7.284/(g1^11*g2^13*y) - (g1^3*t^7.449)/(g2^3*y) + (g2*t^7.517)/(g1*y) + (g1^13*g2^11*t^7.682)/y + t^8.67/(g1^28*g2^20*y) + t^8.699/(g1^6*g2^18*y) + (3*t^8.767)/(g1^10*g2^14*y) + (2*t^8.835)/(g1^14*g2^10*y) + (2*g1^8*t^8.864)/(g2^8*y) + t^8.903/(g1^18*g2^6*y) + (g1^4*t^8.932)/(g2^4*y) + (2*t^8.971)/(g1^22*g2^2*y) - (g1*t^4.483*y)/g2 - (t^7.284*y)/(g1^11*g2^13) - (g1^3*t^7.449*y)/g2^3 + (g2*t^7.517*y)/g1 + g1^13*g2^11*t^7.682*y + (t^8.67*y)/(g1^28*g2^20) + (t^8.699*y)/(g1^6*g2^18) + (3*t^8.767*y)/(g1^10*g2^14) + (2*t^8.835*y)/(g1^14*g2^10) + (2*g1^8*t^8.864*y)/g2^8 + (t^8.903*y)/(g1^18*g2^6) + (g1^4*t^8.932*y)/g2^4 + (2*t^8.971*y)/(g1^22*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
2698	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6079	0.7838	0.7756	[M:[1.2911, 0.8018, 0.9536, 1.1393, 0.8607, 0.7089, 1.0464], q:[0.308, 0.4009], qb:[0.7384, 0.4598], phi:[0.5232]]	t^2.127 + t^2.304 + t^2.405 + t^2.582 + 2*t^3.139 + 2*t^3.418 + t^3.696 + t^3.873 + t^3.975 + t^4.152 + t^4.254 + t^4.328 + t^4.43 + t^4.532 + t^4.607 + 2*t^4.709 + t^4.811 + t^4.886 + t^4.988 + t^5.164 + 2*t^5.266 + 2*t^5.443 + 3*t^5.545 + 2*t^5.721 + 2*t^5.823 - t^4.57/y - t^4.57*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
998	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$	0.6952	0.8535	0.8145	[M:[1.0461, 0.9368, 1.0086, 0.9743, 1.0257, 0.9539], q:[0.4855, 0.4684], qb:[0.5059, 0.5572], phi:[0.4957]]	t^2.81 + t^2.862 + t^2.923 + t^2.974 + t^3.026 + t^3.077 + t^3.128 + t^4.298 + t^4.349 + t^4.4 + t^4.41 + t^4.462 + t^4.523 + t^4.564 + t^4.615 + t^4.677 + t^4.831 + t^5.621 + t^5.672 + t^5.724 + t^5.785 + 2*t^5.836 + t^5.887 + t^5.897 + t^5.939 + t^5.949 + t^5.99 - 2*t^6. - t^4.487/y - t^4.487*y	detail